Math Management
Software
Grade 5
Standard, 1.2.4
Library
Guide
Motivate Students to Master Every Math Objective, 1st Grade to Calculus.
Grade 5
Library Guide
Renaissance Learning
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Wisconsin Rapids, WI 54495-8036
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Copyright Notice
Copyright © 2002, Renaissance Learning, Inc. All Rights Reserved. Printed in the United States of America.
Except as permitted under the United States Copyright Act of 1976, no part of this book may be reproduced or
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Welcome
Thank you for purchasing this Accelerated Math Library. Libraries include the objectives for a
specific grade level, math subject, state requirements, or textbook. Each library includes enough
objectives to cover a complete year of math. Libraries are designed to follow common curriculum
guidelines and the content of widely used math textbooks.
Libraries are the source of the problems that appear on the assignments and tests you print for your
classes. Within each library, closely related problems are grouped by objective. This Library Guide
includes the topics covered by the library, the objectives related to each topic, and sample problems
from each objective.
There are two types of libraries: standard libraries and Extended Response libraries. Extended
Response libraries provide challenging problems and projects that emphasize problem-solving and
higher-order thinking skills.
To install the library, use the instructions you received. You can also find instructions in the
Accelerated Math Software Manual. If you have any questions about libraries or installation, please
email us at [email protected].
Contents
Topic 1 – Whole Number Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Obj. 1 – Place value of digit in whole number (4+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Obj. 2 – Standard to expanded form (3+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Obj. 3 – Standard form to word name (3+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Obj. 4 – Word name to standard form (3+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Obj. 5 – Expanded to standard form (3+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Obj. 6 – Compare whole numbers (2+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Obj. 7 – Order whole numbers (2+ digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Obj. 8 – Round whole numbers (2+ digits). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Obj. 9 – Compare, round, and order whole numbers (2+ digits). . . . . . . . . . . . . . . . . . . . . . . . . . 5
Obj. 10 – Odd and even numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Obj. 11 – Prime and composite numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Obj. 12 – Factors of composite numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Obj. 13 – Prime factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Obj. 14 – Greatest common factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Obj. 15 – Multiples of whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Obj. 16 – Least common multiple . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Topic 2 – Whole Numbers: Add and Subtract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Obj. 17 – Add 2 whole numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Obj. 18 – Add 3 or more whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Obj. 19 – Properties of addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Obj. 20 – Word Problems: Add whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
Obj. 21 – Estimate sums, round to greatest (3-5 digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Obj. 22 – Estimate sums, round to 10, 100, 1000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Obj. 23 – Word Problems: Estimate sums, round (3-5 digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Obj. 24 – Estimate sums, front-end with adjustment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Obj. 25 – Word Problems: Estimate sums, front-end with adjustment . . . . . . . . . . . . . . . . . . . . 14
Obj. 26 – Subtract whole numbers (3-6 digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Obj. 27 – Subtract 3 or more whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Obj. 28 – Word Problems: Subtract whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
Obj. 29 – Estimate differences, round. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Obj. 30 – Word Problems: Estimate differences, round. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Obj. 31 – Word Problems: Too much information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Obj. 32 – Word Problems: Not enough information. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
Topic 3 – Whole Numbers: Multiply and Divide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Obj. 33 – Multiply by 1-digit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Obj. 34 – Multiply by 2 or more digits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Obj. 35 – Word Problems: Multiply whole numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
Obj. 36 – Multiply by a multiple of 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Obj. 37 – Multiply by a power of 10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
Obj. 38 – Properties of multiplication. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Obj. 39 – Estimate products, round (2-4 digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Obj. 40 – Word Problems: Estimate products, round (2-4 digits) . . . . . . . . . . . . . . . . . . . . . . . . 22
Obj. 41 – Write and evaluate exponents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Obj. 42 – Divide by 1-digit, no remainder . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
Obj. 43 – Divide by 1-digit, remainder. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Obj. 44 – Word Problems: Divide by 1-digit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Obj. 45 – Divide by 2-digit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Obj. 46 – Word Problems: Divide by 2-digit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Obj. 47 – Divide by multiple of 10. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
Obj. 48 – Estimate quotients, compatible numbers (2-4 digits) . . . . . . . . . . . . . . . . . . . . . . . . . 25
Obj. 49 – Word Problems: Estimate quotients, compatible numbers (2-4 digits) . . . . . . . . . . . . 25
Obj. 50 – Word Problems: 2-step with whole numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Topic 4 –Introduction to Decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Obj. 51 – Model decimals (to hundredths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Obj. 52 – Place value with decimals (to ten-thousandths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Obj. 53 – Decimal standard form to word name. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Obj. 54 – Word name to decimal standard form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Obj. 55 – Order decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Obj. 56 – Round decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
Topic 5 – Decimals: Add and Subtract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Obj. 57 – Add money expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Obj. 58 – Word Problems: Add money expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Obj. 59 – Add same-place decimals (to thousandths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
Obj. 60 – Add varied-place decimals (to thousandths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Obj. 61 – Word Problems: Add decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Obj. 62 – Subtract money expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Obj. 63 – Word Problems: Subtract money expressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
Obj. 64 – Subtract same-place decimals (to thousandths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Obj. 65 – Subtract varied-place decimals (to thousandths) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Obj. 66 – Word Problems: Subtract decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
Obj. 67 – Estimate decimal sums, round . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Obj. 68 – Word Problems: Estimate decimal sums, round . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
Obj. 69 – Estimate decimal differences, round . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Obj. 70 – Word Problems: Estimate decimal differences, round . . . . . . . . . . . . . . . . . . . . . . . . . 37
Obj. 71 – Multiply money expressions by 1- and 2-digit whole numbers . . . . . . . . . . . . . . . . . . 38
Obj. 72 – Word Problems: Multiply money expressions by whole numbers . . . . . . . . . . . . . . . . 38
Obj. 73 – Multiply decimals by whole numbers (1-2 digits) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38
Topic 6 – Decimals: Multiply and Divide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Obj. 74 – Multiply decimals (to thousandths). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Obj. 75 – Multiply decimals by powers of 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Obj. 76 – Word Problems: Multiply decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
Obj. 77 – Estimate decimals products, round . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
Obj. 78 – Word Problems: Estimate decimal products, round. . . . . . . . . . . . . . . . . . . . . . . . . . . 40
Obj. 79 – Divide money expressions by 1- and 2-digit whole numbers . . . . . . . . . . . . . . . . . . . . 41
Obj. 80 – Word Problems: Divide money expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
Obj. 81 – Divide decimals by 1-digit whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
Obj. 82 – Word Problems: Divide decimals by whole numbers. . . . . . . . . . . . . . . . . . . . . . . . . . 42
Topic 7 – Introduction to Fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
Obj. 83 – Model fractions and mixed numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
Obj. 84 – Model fractions and mixed numbers on number lines. . . . . . . . . . . . . . . . . . . . . . . . . 44
Obj. 85 – Word Problems: Name fraction of a whole or set . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
Obj. 86 – Simplify fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
Obj. 87 – Model equivalent fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
Obj. 88 – Equivalent fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Obj. 89 – Proper and improper fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
Obj. 90 – Mixed numbers to improper fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
Obj. 91 – Improper fractions to mixed numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
Obj. 92 – Compare fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Obj. 93 – Order fractions, like denominators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
Obj. 94 – Order fractions, unlike denominators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
Obj. 95 – Find reciprocals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
Topic 8 – Fractions: Add and Subtract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Obj. 96 – Add like fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Obj. 97 – Add like mixed numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52
Obj. 98 – Word Problems: Add like fractions and mixed numbers . . . . . . . . . . . . . . . . . . . . . . . 53
Obj. 99 – Add unlike fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
Obj. 100 – Add unlike mixed numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54
Obj. 101 – Word Problems: Add unlike fractions and mixed numbers . . . . . . . . . . . . . . . . . . . . 55
Obj. 102 – Subtract like fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Obj. 103 – Subtract mixed like numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
Obj. 104 – Subtract unlike fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Obj. 105 – Subtract mixed numbers from whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Obj. 106 – Subtract unlike mixed numbers, no regroup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
Obj. 107 – Subtract mixed numbers, regroup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Obj. 108 – Word Problems: Subtract fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59
Topic 9 – Fractions: Multiply and Divide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Obj. 109 – Multiply fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Obj. 110 – Multiply fractions by whole numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
Obj. 111 – Word Problems: Multiply fractions by whole numbers, fractions . . . . . . . . . . . . . . . 62
Obj. 112 – Multiply mixed numbers by fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
Obj. 113 – Word Problems: Multiply mixed numbers by whole numbers, fractions . . . . . . . . . . 63
Obj. 114 – Multiply mixed numbers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
Obj. 115 – Divide whole numbers by fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
Obj. 116 – Word Problems: Divide whole numbers by fractions. . . . . . . . . . . . . . . . . . . . . . . . . 64
Topic 10 – Measurement, Time, Money, and Temperature . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Obj. 117 – Estimate customary measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Obj. 118 – Measure customary length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
Obj. 119 – Convert customary length. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Obj. 120 – Convert customary weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Obj. 121 – Convert customary capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
Obj. 122 – Estimate metric measure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
Obj. 123 – Measure metric length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
Obj. 124 – Convert metric length. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
Obj. 125 – Convert metric weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
Obj. 126 – Convert metric capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Obj. 127 – Calculate elapsed time. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
Obj. 128 – Read calendars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
Obj. 129 – Read thermometers. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
Obj. 130 – Count money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Obj. 131 – Word Problems: 2-step with money . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Topic 11 – Geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Obj. 132 – Points, lines, segments, rays, and angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Obj. 133 – Intersecting, parallel, and perpendicular lines . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
Obj. 134 – Classify angles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
Obj. 135 – Measure angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78
Obj. 136 – Identify polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
Obj. 137 – Classify quadrilaterals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
Obj. 138 – Congruent and similar figures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80
Obj. 139 – Lines of symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
Obj. 140 – Flips, turns, and slides. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Obj. 141 – Solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Obj. 142 – Count faces, edges, and vertices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
Obj. 143 – Parts of a circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
Obj. 144 – Plot and name ordered pairs (first quadrant) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
Topic 12 – Perimeter, Area, and Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Obj. 145 – Perimeter of rectangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Obj. 146 – Perimeter of polygons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90
Obj. 147 – Word Problems: Perimeter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91
Obj. 148 – Area by counting. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
Obj. 149 – Area of rectangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
Obj. 150 – Area of parallelograms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Obj. 151 – Word Problems: Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Obj. 152 – Volume of rectangular prisms and cubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
Obj. 153 – Word Problems: Volume of rectangular solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
Obj. 154 – Identify nets (patterns) of solids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
Obj. 155 – Pictographs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
Topic 13 – Graphs, Probability, and Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
Obj. 156 – Bar graphs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102
Obj. 157 – Line graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103
Obj. 158 – Double bar graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
Obj. 159 – Double line graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
Obj. 160 – Circle graphs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
Obj. 161 – Stem-and-leaf plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110
Obj. 162 – Time schedules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111
Obj. 163 – Means of data sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112
Obj. 164 – Medians of data sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
Obj. 165 – Modes of data sets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
Obj. 166 – Ranges of data sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114
Obj. 167 – Find possible outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Obj. 168 – Probability of single events . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117
Topic 14 – Fractions, Decimals, Percents, and Ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Obj. 169 – Fractions to decimals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Obj. 170 – Decimals to fractions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Obj. 171 – Mixed numbers to decimals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 119
Obj. 172 – Find percents with models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
Obj. 173 – Percent of a number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Obj. 174 – Word Problems: Percent of a number . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121
Obj. 175 – Convert decimals and percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Obj. 176 – Fractions to percents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Obj. 177 – Identify ratios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122
Obj. 178 – Write ratios as fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Obj. 179 – Write ratios, all forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123
Obj. 180 – Equivalent ratios, same form. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
Topic 15 – Number patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
Obj. 181 – Missing terms in number patterns. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
Obj. 182 – Terms described in number patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
Topic 1 - Whole Number Concepts
Obj. 1 - Place value of digit in whole number (4+ digits)
1. Which is the place of the digit 2 in 913,654,872?
[A] hundred millions
[B] ones
[C] tens
[D] millions
2. In 910,424,063 what digit tells the number of ten millions?
[A] 1
[B] 0
[C] 2
[D] 9
3. Which digit shows ten thousands in the number 236,947?
[A] 9
[B] 2
[C] 6
[D] 3
4. Which is the place of the digit 5 in 312,456,798,274?
[A] ten-billions
[B] ten-thousands
[C] millions
[D] ten-millions
Obj. 2 - Standard to expanded form (3+ digits)
5. Write 7,040,173 in expanded form.
[A] 7,00,000 + 400
[B] 400,000 + 1,000 + 700 + 3
[C] 7,000,000 + 300 + 70 + 1
[D] 7,000,000 + 40,000 + 100 + 70 + 3
6. Write 63,032 in expanded form.
[A] 60,000 + 30 + 2
[B] 600,000 + 900 + 20 + 3
[C] 60,000 + 300
[D] 60,000 + 3,000 + 30 + 2
7. Write 3,490,329,000 in expanded form.
[A] 1,000,000,000 + 2,000,000,000 + 400,000,000 + 900,000,000 + 3,000,000 +
200,000 + 9,000
[B] 3,000,000,000 + 400,000,000 + 900,000 + 20,000 + 3,000
[C] 3,000,000,000 + 400,000,000 + 90,000,000 + 300,000 + 20,000 + 9,000
[D] 3,00,000,000 + 40,000,000 + 900,000
1
Topic 1 - Whole Number Concepts
Obj. 3 - Standard form to word name (3+ digits)
8. Use words to write 13,212.
[A] one hundred thirty thousand, two hundred twelve
[B] thirteen thousand, two hundred twelve
[C] thirteen thousand and two hundred twelve
[D] thirteen, two thousand one hundred twenty
9. Use words to write 16,722,359.
[A] two thousand two, three hundred fifty-nine
[B] sixteen million, seven hundred twenty thousand, three hundred fifty
[C] sixteen and seven hundred thousand, three hundred and fifty-nine
[D] sixteen million, seven hundred twenty-two thousand, three hundred fifty-nine
10. Use words to write 808,653,997.
[A] eight hundred eight million, six hundred fifty-three thousand, nine hundred
ninety-seven
[B] eight hundred eight million, six hundred fifty-four thousand, seven hundred,
nine hundred ninety-seven
[C] eight hundred eight million, six hundred fifty-three thousand, nine hundred
seventeen
[D] seven hundred thirty-five million, six hundred fifty-three thousand, nine
hundred ninety-seven
Obj. 4 - Word name to standard form (3+ digits)
11. Write four thousand, three hundred one in standard form.
[A] 430
[B] 4,301
[C] 43,010
[D] 4,000,301
12. Mt. Alderhorn, Switzerland is thirteen thousand, eighty-one feet tall. Write this
number in standard form.
[A] 13,810
[B] 13,081
[C] 130,081
2
[D] 130,810
Topic 1 - Whole Number Concepts
13. Use digits to write three hundred ninety-one million, three hundred five thousand,
one hundred twenty-six.
[A] 391,238,126
[B] 391,307,926
[C] 396,305,126
[D] 391,305,126
Obj. 5 - Expanded to standard form (3+ digits)
14. Which shows 9,000,000 + 800,000 + 40,000 + 100 + 20 + 3 in standard form?
[A] 9,840,123
[B] 9,840,033
[C] 9,804,123
[D] 9,841,203
15. Which shows 2,000,000 + 900,000 + 20,000 + 2,000 + 800 + 20 + 1 in standard
form?
[A] 2,922,821
[B] 2,922,281
[C] 2,912,021
[D] 3,108,221
16. Which shows 6,000,000,000 + 3,000,000 + 400,000 + 70,000 + 7,000 + 700 + 70 +
1 in standard form?
[A] 6,007,071,471
[B] 6,003,477,771
[C] 6,004,384,071
[D] 6,003,747,771
Obj. 6 - Compare whole numbers (2+ digits)
17. Which of the following is a true statement?
[A] 14,246 > 27,166
[B] 27,812 > 24,718
[C] 17,476 < 6,800
[D] 10,710 < 8,500
18. Which of the following will make the statement true?
620,000,000 < ______
[A] 620,000,000
[B] 540,000,000
19. Compare the two numbers.
588,990 _____ 575,790
[A] >
3
[C] 670,000,000
[B] =
[D] none of these
[C] <
Topic 1 - Whole Number Concepts
Obj. 7 - Order whole numbers (2+ digits)
20. Which group of numbers is in the correct order from least to greatest?
[A] 12,755 19,069 15,912
[B] 101,417 64,848 28,279
[C] 15,912 12,755 19,069
[D] 28,279 64,848 101,417
21. Find the number that is between the two given numbers.
582,535
[A] 603,561
603,558
[B] 582,518
[C] 590,600
[D] 603,575
22. Which group of numbers is in order from least to greatest?
[A] 1,211 1,725
3,561
3,954
[B] 3,561 3,954
1,211
1,725
[C] 3,954 3,561
1,725
1,211
[D] 1,725 3,561
3,954
1,211
Obj. 8 - Round whole numbers (2+ digits)
23. Round 496 to the nearest ten.
[A] 490
24. Round 471 to the nearest hundred.
[B] 520
[A] 500
[C] 510
[B] 470
[D] 500
[C] 400
25. Round 7,766 to the nearest hundred.
[A] 7,500
[B] 7,700
[C] 7,800
[D] 8,000
[C] 9,000
[D] 7,000
[C] 50,000
[D] 53,000
26. Round 8,210 to the nearest thousand.
[A] 8,200
[B] 8,000
27. Round 52,636 to the nearest ten thousand.
[A] 52,600
[B] 52,640
4
[D] 300
Topic 1 - Whole Number Concepts
Obj. 9 - Word Problems: Compare, round, and order whole numbers (2+ digits)
28. Mr. Snively posted the results of the keyboarding contest finals in order from
slowest to fastest. Poindexter typed 45 words per minute, Mendl typed 49 words per
minute, Ben typed 54 words per minute, and Mariko typed 40 words per minute.
Which list shows the results in correct order?
[A] Mariko, Mendl, Poindexter, Ben
[B] Poindexter, Mendl, Ben, Mariko
[C] Mariko, Poindexter, Mendl, Ben
[D] Ben, Mendl, Poindexter, Mariko
29. Michelle is making a chart of rivers in the United States for geography class, and
gathered the information shown below.
U.S. RIVERS
Name
Canadian
Yellowstone
Smoky River
Length in Miles
960
671
540
Mississippi
2,470
To show the rivers in order from shortest to longest, how should she arrange them on
her final chart?
[A] Mississippi, Canadian, Yellowstone, Smoky River
[B] Mississippi, Yellowstone, Smoky River, Canadian
[C] Smoky River, Yellowstone, Canadian, Mississippi
[D] Smoky River, Yellowstone, Mississippi, Canadian
5
Topic 1 - Whole Number Concepts
30. This table shows the heights, in inches, of the seven Howem cousins.
Name Height
Name Height
Carl
50
Nina
64
Erin
Kylie
56
54
Paul
Todd
48
59
Mitch 46
The Howem cousins stood in a line from tallest to shortest. Who was standing in the
middle?
[A] Kylie
[B] Nina
[C] Paul
[D] Erin
[C] 999
[D] 105
Obj. 10 - Odd and even numbers
31. Which of the following numbers is even?
[A] 168
[B] 403
32. Which of the following numbers is an even number?
2 and 5
[A] only 5
[B] both 2 and 5
[C] only 2
[D] none of these
33. The locker doors for five students are shown below.
392
277
721
434
65
Tina
Mick
Chris
Tara
Meg
Which students have lockers that are marked with odd numbers?
[A] Tina Tara
[B] Chris Tara Tina
[C] Mick Chris Meg
[D] None of the students have odd locker numbers.
6
Topic 1 - Whole Number Concepts
Obj. 11 - Prime and composite numbers
34. Which of the following numbers is not composite?
[A] 15
[B] 27
[C] 35
[D] 3
[C] 8
[D] 15
35. Which of the following numbers is prime?
[A] 9
[B] 5
36. Which of the following shows a pair of prime numbers?
[A] 2, 41
[B] 33, 39
[C] 39, 41
[D] 2, 33
Obj. 12 - Factors of composite numbers
37. Fill in the blank:
___ is a factor of 72.
[A] 144
[B] 9
[C] 35
[D] 10
38. Choose the correct statement.
[A] 40 is a factor of 8.
[B] 10 is a factor of 72.
[C] 72 is a factor of 10.
[D] 8 is a factor of 40.
39. Which number is not a factor of 42?
[A] 21
[B] 6
[C] 7
[D] 8
40. List all the factors of 64.
[A] 1, 2, 4, 8, 16, 32, 64
[B] 1, 2, 31, 62, 64
[C] 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
[D] 1, 64
41. Which is not a factor of 48?
[A] 24
7
[B] 12
[C] 16
[D] 96
Topic 1 - Whole Number Concepts
Obj. 13 - Prime factorization
42. Which factor tree is correct?
I.
8
5
18
II.
3
9
2
3
[A] II
3
[B] I
[C] I & II
[D] none of these
43. A factor tree is made for 60. Which numbers appear on the bottom row?
[A] 2, 3, 5, 60
[B] 2, 2, 3, 5
[C] 1, 3
[D] 1, 60
44. Write the prime factorization of 270.
[A] 1 × 2 × 3 × 3 × 3 × 5
[B] 2 × 3 × 3 × 3 × 5 × 5
[C] 2 × 2 × 3 × 3 × 3 × 5
[D] 2 × 3 × 3 × 3 × 5
Obj. 14 - Greatest common factor
45. What is the greatest common factor of 75 and 100?
[A] 300
[B] 60
[C] 5
[D] 25
46. What is the greatest common factor of 70 and 80?
[A] 2
[B] 6
[C] 10
[D] 112
47. What is the greatest common factor of 12 and 30?
[A] 20
[B] 60
[C] 6
[D] none of these
Obj. 15 - Multiples of whole numbers
48. What is the sixth multiple of 7?
[A] 42
8
[B] 28
[C] 49
[D] 35
Topic 1 - Whole Number Concepts
49. List the first five multiples of 4.
[A] 20, 25, 30, 35, 40
[B] 4, 8, 12, 16, 20
[C] 4, 5, 6, 7, 8
[D] 0, 1, 4, 8, 12
50. Which is not a multiple of 4?
[A] 20
[B] 17
[C] 8
[D] 40
Obj. 16 - Least common multiple
51. Find the least common multiple of 9 and 6.
[A] 3
[B] 54
[C] 18
[D] 15
52. Find the least common multiple of 84 and 36.
[A] 126
[B] 72
[C] 756
[D] 252
53. Find the least common multiple of 36 and 60.
[A] 180
[B] 540
[C] 72
[D] 2,160
54. List the first three common multiples of 6 and 7.
[A] 1,6,7
[B] 42,84,126
[C] 84,126,168
9
[D] 7,42,84
Topic 2 - Whole Numbers: Add and Subtract
Obj. 17 - Add 2 whole numbers
1. 401 + 956 =
2.
1,275
+ 5,493
3.
9,405,848
+ 5,160,892
[A] 1,357
[A] 6,768
[A] 14,566,735
[B] 4,957
[B] 5,668
[C] 1,257
[D] 4,857
[C] 6,758
[D] 7,768
[B] 14,566,840
[C] 14,566,740
[D] 14,566,730
[B] 888,057
[C] 888,056
[D] 888,055
4. 360,303 + 527,753 =
[A] 888,046
Obj. 18 - Add 3 or more whole numbers
5. 131 + 890 + 466 =
[A] 1,387
6. 3,769 + 1,843 + 671 =
[B] 1,487
[A] 6,273
[B] 6,183
[C] 1,577
[D] 1,477
[C] 6,283
[D] 6,373
7. 19,018
2,617
+ 617
[A] 22,252
[B] 32,252
[C] 22,242
[D] 21,252
8.
[A] 115,365
[B] 114,375
[C] 115,375
[D] 125,375
74,039
39,533
1,508
+
295
10
Topic 2 - Whole Numbers: Add and Subtract
Obj. 19 - Properties of addition
9. Which of the following is an example of the commutative property of addition?
[A] 1 + 3 = 3 + 1
[B] (7 + 11) + 4 = 7 + (11 + 4)
[C] 6 + (1 + 1) = 6 + (1 + 1)
[D] 2 + 4 = 6 + 0
10. Which of the following is an example of the associative property of addition?
[A] 4 + 2 = 2 + 4
[B] 4 + (4 + 3) = 4 + (4 + 3)
[C] (11 + 9) + 1 = 11 + (9 + 1)
[D] 6 + 1 = 7 + 0
11. What number would make the number sentence true?
20 + (19 + 12) = (20 + ?) + 12
[A] 12
[B] 19
[C] 20
[D] none of these
12. What number would make the number sentence true? 26 + ? = 43 + 26
[A] 43
[B] 53
[C] 69
[D] 45
Obj. 20 - Word Problems: Add whole numbers
13. Bill’s flight log showed that he traveled 3,776 miles the first week, 4,478 miles the
second week, and 4,640 miles the third week. How many miles did he fly during this
three-week period?
[A] 14,004 miles
[B] 12,894 miles
[C] 13,004 miles
[D] 11,893 miles
14. The following list shows the number of middle school students from three schools
who signed up for outdoor school: Mount Angel, 158 students; Emberton, 299
students; and Baneville, 466 students. How many students signed up for outdoor
school?
[A] 1,003 students
[B] 927 students
[C] 884 students
[D] 923 students
15. Guy has saved $3,091 for a new car. He also sold his old car for $2,235. Now how
much money does Guy have?
[A] $5,826
[B] $5,326
[C] $5,328
11
[D] $5,346
Topic 2 - Whole Numbers: Add and Subtract
16. In the United States 1,538 radio stations play country music, 626 play pop music,
1,146 are oldies stations, and 859 are rock stations. How many radio stations play
country music, pop, oldies, or rock?
[A] 4,169 radio stations
[B] 3,769 radio stations
[C] 4,165 radio stations
[D] 4,149 radio stations
Obj. 21 - Estimate sums, round to greatest (3-5 digits)
17. Estimate by rounding each addend to the greatest place:
[A] 1,300
[B] 1,000
619
+ 464
[C] 1,200
[D] 1,100
18. Estimate by rounding each addend to the greatest place: 7,593 + 1,757
[A] 9,400
[B] 11,000
[C] 10,400
[D] 10,000
19. Estimate by rounding each addend to the greatest place: 45,324 + 43,188
[A] 88,000
[B] 78,000
[C] 90,000
[D] 91,000
Obj. 22 - Estimate sums, round to 10, 100, 1000
20. Estimate by rounding each addend to the nearest hundred:
[A] 1,500
[B] 1,300
[C] 1,200
703
+ 554
[D] 1,400
21. Estimate by rounding each addend to the nearest hundred: 7,536 + 496
[A] 8,100
[B] 9,100
[C] 8,000
22. Estimate by rounding each addend to the nearest hundred:
[A] 17,900
[B] 18,100
[C] 18,000
12
[D] 9,000
9,853
+ 8,033
[D] 16,900
Topic 2 - Whole Numbers: Add and Subtract
23. Estimate by rounding each addend to the nearest thousand:
[A] 127,000
[B] 128,000
54,432
+ 71,874
[C] 124,900
[D] 126,000
Obj. 23 - Word Problems: Estimate sums, round (3-5 digits)
24. 2,568 people attended the early concert and 6,738 people attended the late concert.
Estimate, by rounding to the greatest place, the total number of people who attended
the concerts.
[A] 8,300 people
[B] 9,300 people
[C] 10,000 people
[D] 9,000 people
25. There were 6,775 fans already seated in the stadium when the shuttle buses arrived
with an additional 577 fans. Estimate the total number of fans at the stadium by
rounding to the nearest hundred.
[A] 8,300 fans
[B] 8,400 fans
[C] 7,300 fans
[D] 7,400 fans
26. Congresswoman Peters received 82,286 votes in the first district and 41,561 votes in
the second district. Estimate the total number of votes she received in the two
districts by rounding to the nearest thousand.
[A] 126,000 votes
[B] 124,000 votes
[C] 125,100 votes
[D] 125,000 votes
Obj. 24 - Estimate sums, front-end with adjustment
27. Estimate by using front-end digits and adjust:
[A] 850
[B] 600
333
+ 421
[C] 800
28. Estimate using front-end digits with adjustment:
[A] 7,000
[B] 10,000
1,887
+ 7,921
[C] 9,000
13
[D] 750
[D] 8,000
Topic 2 - Whole Numbers: Add and Subtract
29. Estimate using front-end digits and adjust:
388
697
+ 886
[A] 1,900
[B] 2,100
[C] 1,800
30. Estimate using the front-end digits and adjust:
[D] 2,000
8,262
9,223
+ 4,517
[A] 23,000
[B] 21,000
[C] 20,000
[D] 22,000
Obj. 25 - Word Problems: Estimate sums, front-end with adjustment
31. Madison and Sophia wanted to have the largest bottle cap collection at
Sweetwater Elementary School. Madison collected 3,458 bottle caps and Sophia
collected 6,473. Estimate the total number of bottle caps Madison and Sophia
collected. Use front-end digits and an adjustment if necessary.
[A] 10,000 bottle caps
[B] 11,000 bottle caps
[C] 9,000 bottle caps
[D] 8,000 bottle caps
32. Three large machine parts were loaded onto the boxcar. They weighed 507, 904, and
242 pounds, respectively. Estimate the total weight of the three machine parts, using
front-end digits with an adjustment if necessary.
[A] 1,700 pounds
[B] 1,400 pounds
[C] 1,650 pounds
[D] 1,750 pounds
33. It was 785 miles from Collingswood to Hilbert and 491 miles from Hilbert to Klien
Valley. Estimate the total distance from Collingswood to Klien Valley by using
front-end digits and an adjustment if necessary.
[A] 1,100 miles
[B] 1,000 miles
[C] 1,300 miles
[D] 1,200 miles
Obj. 26 - Subtract whole numbers (3-6 digits)
34.
6,305
− 822
[A] 5,383
[B] 5,483
14
[C] 7,027
[D] 7,127
Topic 2 - Whole Numbers: Add and Subtract
35.
65,025
− 8,182
[A] 57,943
[B] 66,843
[C] 56,843
[D] 55,833
36. 6,579 − 388 =
[A] 6,191
[B] 5,811
[C] 699
[D] 6,291
37.
[A] 858,651
[B] 858,751
[C] 857,551
[D] 868,761
943,388
− 84,737
38. 10,000 − 4,426 =
[A] 5,574
[B] 5,564
[C] 5,584
[D] 5,674
Obj. 27 - Subtract 3 or more whole numbers
39. 834 − 208 − 30 =
[A] 656
[B] 606
[C] 596
[D] 696
40. 888 − 253 − 606 =
[A] 29
[B] 1241
[C] 9
[D] 39
41. 6,474 − 256 − 72 =
[A] 6,236
[B] 6,290
[C] 6,146
[D] 6,256
Obj. 28 - Word Problems: Subtract whole numbers
42. Carniola Mountain has an elevation of 5,331 feet. The top 1,761 feet is in the sun.
How many vertical feet of Carniola Mountain is in the shade?
[A] 7,092 feet
[B] 3,560 feet
[C] 3,570 feet
[D] 3,470 feet
43. Renae scored 1,380 points and Carmen scored 1,551 points on the new Ulta Clone
video game. How many more points did Carmen score than Renae?
[A] 161
[B] 2,831
[C] 171
[D] 2,931
44. The population of California in 1990 was 29,760,021 people. The population of
Alabama was 4,040,587 people. How many more people lived in California?
[A] 25,721,434 people
[B] 25,719,484 people
[C] 25,389,434 people
[D] 25,719,434 people
15
Topic 2 - Whole Numbers: Add and Subtract
Obj. 29 - Estimate differences, round
45. Estimate by rounding to the greatest place: 780 − 193
[A] 600
[B] 700
[C] 1,000
[D] 800
46. Estimate by rounding to the nearest hundred: 6,578
− 148
[A] 6,900
[B] 6,500
[C] 6,600
47. Estimate by rounding to the greatest place:
[A] 2,000
[B] 3,000
7,304
− 5,014
[C] 1,000
48. Estimate by rounding to the nearest thousand:
[A] 45,000
[B] 44,000
[D] 6,400
[D] 200
46,863
− 2,524
[C] 43,000
[D] 47,000
Obj. 30 - Word Problems: Estimate differences, round
49. A poll was taken of people entering a movie theater. 505 of the 717 audience
members were seeing the movie for at least a second time. About how many people
were seeing the movie for the first time? Estimate by rounding each term to the
greatest place.
[A] 400 people
[B] 1,200 people
[C] 200 people
[D] 300 people
50. Of the 4,998 workers at the factory, 2,994 were female. Estimate the number of male
workers at the factory by rounding to the greatest place.
[A] 3,000 males
[B] 2,000 males
16
[C] 100 males
[D] 1,000 males
Topic 2 - Whole Numbers: Add and Subtract
51. Out of the 7,715 widgets that were produced, 139 were found to be defective. By
rounding to the nearest hundred, estimate the number of non-defective widgets
produced.
[A] 7,700 widgets
[B] 7,900 widgets
[C] 7,600 widgets
[D] 7,500 widgets
Obj. 31 - Word Problems: Too much information
52. Mrs. Acuna drove to a friend’s house. She drove 5 miles down Highway 20 and then
19 miles down Highway 30. How many miles was it to her friend’s house?
[A] 50 miles
[B] 25 miles
[C] 49 miles
[D] 24 miles
53. Matt lines up 13 marbles and 12 beads per row. If there are 8 rows of marbles, how
many marbles does Matt line up?
[A] 96 marbles
[B] 25 marbles
[C] 117 marbles
[D] 104 marbles
54. Rachel spent 5 hours working on a typing project for the print shop. Her boss agreed
to pay her $7 for each of the first 12 pages and $2 for each of the remaining pages.
Rachel typed 19 pages. What information below is not needed to calculate the
amount Rachel will be paid?
[A] 5 hours
[B] 19 pages
[C] $7 per the first 12 pages
[D] $2 for each remaining page
Obj. 32 - Word Problems: Not enough information
55. Each of the 29 students had 12 pieces of candy. Everyone ate 2 pieces of candy.
Then they decided to put all of the uneaten candy in a big bowl. How many pieces of
candy were in the bowl?
[A] 10 pieces
[B] 346 pieces
[C] 290 pieces
17
[D] not enough information
Topic 2 - Whole Numbers: Add and Subtract
56. Tanya worked 19 hours more than Jennifer during the month of July. What more do
you need to know to find how many hours Tanya worked in July?
[A] the number of hours Tanya worked in June
[B] the number of hours Jennifer worked in July
[C] the number of hours Jennifer worked in August
[D] the number of hours Tanya worked in August
57. Michael drove 370 miles from his home to go camping. He used 13 gallons of gas.
What information is needed to calculate his average speed?
[A] the reading on his odometer
[B] the cost of the gasoline
[C] the time it took to drive
[D] the amount of air in his tires
18
Topic 3 - Whole Numbers: Multiply and Divide
Obj. 33 - Multiply by 1-digit
1. 523 × 5 =
[A] 2,665
[B] 2,605
[C] 2,715
[D] 2,615
2.
254
× 9
[A] 2,286
[B] 2,256
[C] 1,886
[D] 1,856
3.
9,786
×
4
[A] 38,924
[B] 40,204
[C] 39,144
[D] 39,064
[C] 2,010
[D] 1,330
Obj. 34 - Multiply by 2 or more digits
4.
55
× 26
[A] 1,430
5. 239 × 65 =
6.
146
× 158
[B] 1,230
[A] 16,635
[A] 23,068
[B] 15,635
[B] 24,168
[C] 15,535
[C] 23,058
[D] 16,535
[D] 22,968
7. Find the product of 571 and 907.
[A] 517,897
[B] 55,387
[C] 5,142,997
[D] 516,990
Obj. 35 - Word Problems: Multiply whole numbers
8. Great Tours has 13 fifty-six passenger buses in its fleet. How many people can Great
Tours take on all-day tours of Oahu?
[A] 728 people
[B] 718 people
19
[C] 758 people
[D] 838 people
Topic 3 - Whole Numbers: Multiply and Divide
9. Crafters Supply packs 117 glue sticks in each box. Adair ordered 49 boxes of glue
sticks. How many glue sticks did Adair order?
[A] 5,723 glue sticks
[B] 5,733 glue sticks
[C] 5,843 glue sticks
[D] 6,783 glue sticks
10. Kevin will make loan payments of $320 each month for 36 months. What is the total
amount of money that Kevin will pay?
[A] $1,152
[B] $11,420
[C] $115,200
[D] $11,520
11. Sharon eats about 922 calories of food at each meal. How many calories will she eat
in 8 meals?
[A] 7376 calories
[B] 9300 calories
[C] 73,760 calories
[D] 930 calories
Obj. 36 - Multiply by a multiple of 10
12.
8,513
× 30
[A] 254,510
[B] 255,290
[C] 255,390
[D] 252,170
13.
673
× 40
[A] 25,810
[B] 26,960
[C] 25,900
[D] 26,920
14. 51,250 × 120 =
[A] 6,149,900
[B] 6,149,000
[C] 6,150,000
[D] 6,149,990
Obj. 37 - Multiply by a power of 10
15. 63 × 1,000 =
[A] 63,000
[B] 630
[C] 937
[D] 1,063
16. 194 × 10 =
[A] 204
[B] 184
[C] 1,940
[D] 19,400
17. Multiply 95 by 1,000.
[A] 195
[B] 9,500
[C] 95
[D] 95,000
18. 34,555 × 1,000 =
[A] 34,554,900
[B] 34,555,000
20
[C] 34,554,000
[D] 34,554,990
Topic 3 - Whole Numbers: Multiply and Divide
Obj. 38 - Properties of multiplication
19. Which property is illustrated by the fact below?
87 × 39 = 39 × 87
[A] Associative Property for Multiplication
[B] Identity Property for Multiplication
[C] Distributive Property
[D] Commutative Property for Multiplication
20. What number would make the number sentence true? 4 × (5 × 6) = (4 × ?) × 6
[A] 4
[B] 5
[C] 6
[D] 3
21. Which number will make the number sentence true?
75 ×
= 75
[A] 75
[B] 150
[C] 1
[D] 0
Obj. 39 - Estimate products, round (2-4 digits)
22. Estimate by rounding to the greatest place: 9 × 23
[A] 18
[B] 160
[C] 180
[D] 1,600
23. Estimate by rounding to the greatest place: 7 × 674
[A] 490
[B] 4,900
[C] 420
[D] 4,200
24. Estimate by rounding to the greatest place: 4 × 4,576
[A] 240,000
[B] 20,000
[C] 24,000
[D] 2,000
25. Estimate by rounding to the greatest place: 52 × 44
[A] 1,600
[B] 2,500
[C] 2,000
[D] 2,400
26. Estimate by rounding to the greatest place: 280 × 35
[A] 12,000
[B] 4,000
[C] 6,000
21
[D] 3,000
Topic 3 - Whole Numbers: Multiply and Divide
Obj. 40 - Word Problems: Estimate products, round (2-4 digits)
27. Mr. Forrest determined that 278 cartons of milk would be needed for each meal of a
school field trip. 2 meals were eaten during the field trip. By rounding to the greatest
place, estimate the number of cartons of milk needed.
[A] 60 cartons of milk
[B] 9,000 cartons of milk
[C] 600 cartons of milk
[D] 900 cartons of milk
28. The outdoor theater had 32 rows with 23 seats in each row. Estimate the number of
seats in the outdoor theater by rounding to the greatest place.
[A] 600 seats
[B] 800 seats
[C] 300 seats
[D] 900 seats
29. Boppo’s Restaurant averaged 873 dollars per week night. By rounding to the greatest
place, estimate the total amount Boppo’s earned for 43 week nights.
[A] $36,000
[B] $32,000
[C] $28,000
[D] $24,000
Obj. 41 - Write and evaluate exponents
30. How is 6 × 6 × 6 × 6 written using an exponent?
[B] 6 × 4
[A] 64
[C] 62
[D] 4 6
31. 2 3 =
[A] 16
[B] 9
[C] 8
[D] 6
32. 4 3 =
[A] 12
[B] 64
[C] 43
[D] 256
33. 7 2 =
[A] 14
[B] 49
[C] 39
[D] 7
Obj. 42 - Divide by 1-digit, no remainder
34.
[A] 12
[B] 9
[C] 11
[D] 8
35. 2 644
[A] 322
[B] 319
[C] 332
[D] 321
36.
[A] 74
[B] 64
[C] 63
[D] 57
2 18
6 384
22
Topic 3 - Whole Numbers: Multiply and Divide
37.
2 132
[A] 76
[B] 63
[C] 66
[D] 65
Obj. 43 - Divide by 1-digit, remainder
38. 7 ÷ 2 =
[A] 4 R 1
[B] 3 R 2
[C] 3 R 1
[D] 5
39.
[A] 4
[B] 16
[C] 14 R 2
[D] 14 R 4
40. 2 29
[A] 14 R 1
[B] 15
[C] 14 R 2
[D] 15 R 1
41. 7 331
[A] 49
[B] 47 R 2
[C] 47 R 7
[D] 47
42.
6 666
[A] 111 R 5
[B] 118
[C] 111
[D] 112 R 5
43. 8 6,961
[A] 940 R 3
[B] 870 R 1
[C] 760 R 2
[D] 981 R 1
4 58
44. 6 43,040
[A] 6,665 R 4
[B] 7,173 R 2
[C] 8,186 R 5
[D] 18,284 R 4
Obj. 44 - Word Problems: Divide by 1-digit
45. Odell is decorating for a wedding reception. He has 145 balloons to divide into
bouquets of 5 balloons each. How many bouquets can Odell make?
[A] 20 bouquets
[B] 29 bouquets
[C] 22 bouquets
[D] 7 bouquets
46. There are 54 students at the 5th grade class picnic. For a scavenger hunt there should
be 6 students in each group. How many groups will there be?
[A] 60 groups
[B] 14 groups
[C] 9 groups
[D] 8 groups
47. Hettie went on an Old West trail ride with her family. It took them 4 days to travel
40 miles. If they traveled the same distance each day, how many miles did they
travel per day?
[A] 160 miles
[B] 10 miles
[C] 9 miles
23
[D] 44 miles
Topic 3 - Whole Numbers: Multiply and Divide
Obj. 45 - Divide by 2-digit
48. 18 53
[A] 17 R 2
[B] 2 R 17
[C] 20
[D] 2 R 16
49. 74 284
[A] 3 R 62
[B] 62 R 2
[C] 65
[D] 2 R 61
50. 60 3,435
[A] 57
[B] 56 R 15
[C] 58
[D] 57 R 15
51. 75 25,302
[A] 327
[B] 237 R 27
[C] 338
[D] 337 R 27
Obj. 46 - Word Problems: Divide by 2-digit
52. With 15 identical boxes, Janette made a row that was 1,110 centimeters long. How
long was each box?
[A] 90 cm
[B] 1,125 cm
[C] 74 cm
[D] 89 cm
53. Tracy enjoys collecting baseball cards. Her album contains 27 pages. If the album
holds 432 cards, how many cards does each page hold?
[A] 15 cards
[B] 16 cards
[C] 14 cards
[D] 18 cards
54. There are 22 school buses that serve Woodland School District. The buses travel a
total of 12,782 miles in one week of school. How many miles does each bus drive on
average?
[A] 581 mi
[B] 388 mi
[C] 12,804 mi
[D] 12,760 mi
55. Veronica needs to hand out an equal amount of mini Choco-Balls to 40 classmates.
There are 320 mini Choco-Balls. How many mini Choco-Balls does each student
receive?
[A] 4 Choco-Balls
[B] 8 Choco-Balls
[C] 7 Choco-Balls
[D] 12 Choco-Balls
Obj. 47 - Divide by multiple of 10
56. 20 60
[A] 2
[B] 20
24
[C] 3
[D] 30
Topic 3 - Whole Numbers: Multiply and Divide
57. 10 350
[A] 34
[B] 35
[C] 340
[D] 360
58. 10 6,100
[A] 6,110
[B] 6,100
[C] 611
[D] 610
59. 60 4,740
[A] 790
[B] 78
[C] 780
[D] 79
Obj. 48 - Estimate quotients, compatible numbers (2-4 digits)
60. Estimate using compatible numbers: 31 ÷ 6
[A] 2
[B] 5
[C] 7
[D] 9
61. Estimate using compatible numbers: 8 412
[A] 5
[B] 50
[C] 60
[D] 4
62. Estimate using compatible numbers: 9 4,425
[A] 50
[B] 500
[C] 60
[D] 400
Obj. 49 - Word Problems: Estimate quotients, compatible numbers (2-4 digits)
63. Lotte had only 34 minutes to finish 7 problems. About how many minutes could she
spend on each problem? Use compatible numbers to estimate.
[A] 3 minutes
[B] 6 minutes
[C] 4 minutes
[D] 5 minutes
64. At the end of the evening, three food servers split their tips. If they collected a total
of $235, about how much did each earn in tips? Estimate using compatible numbers.
[A] $9
[B] $8
[C] $80
[D] $90
65. A land owner split her acreage into 9 equal parcels. The total acreage is 3,535 acres.
Estimate the size of each parcel by using compatible numbers.
[A] 300 acres
[B] 40 acres
[C] 30 acres
25
[D] 400 acres
Topic 3 - Whole Numbers: Multiply and Divide
Obj. 50 - Word Problems: 2-step with whole numbers
66. Kim charges $9 to mow a lawn. She can mow 2 lawns per day. What is the most
money she can make mowing lawns in 6 days?
[A] $12
[B] $18
[C] $108
[D] $54
67. Linda has a tree farm with 6 rows of trees. There are 3 rows with 8 trees each and 3
rows with 6 trees each. How many trees does Linda have?
[A] 48 trees
[B] 33 trees
[C] 42 trees
[D] 20 trees
68. Roy had a box of beads. While walking through the kitchen he dropped the box, and
22 of the beads rolled under the refrigerator. Roy divided the left-over beads into
10 groups with 14 beads in each group. How many beads were in the box to start?
[A] 162 beads
[B] 184 beads
[C] 172 beads
26
[D] 140 beads
Topic 4 - Introduction to Decimals
Obj. 51 - Model decimals (to hundredths)
1. What decimal matches the shaded part of this rectangle?
[A] 5
[B] 0.5
[C] 5.5
[D] 0.05
2. Write a decimal for the shaded part of this box.
[A] 0.81
[B] 0.19
[C] 0.92
[D] 0.08
3. What decimal number is shown on the number line?
3
4
[A] 3.3
5
6
[B] 33
[C] 3.9
[D] 39
4. What number is closest to the value of S on the number line?
S
1
[A] 1.09
2
3
4
[B] 2.4
[C] 0.9
27
[D] 1.9
Topic 4 - Introduction to Decimals
5. Which decimal tells how much is shaded?
[A] 21
[B] 0.021
[C] 0.21
[D] 2.1
Obj. 52 - Place value with decimals (to ten-thousandths)
6. What is the place of the 6 in 693.52?
[A] tenths
[B] hundreds
[C] ones
[D] tens
7. Which digit is in the thousandths place? 1,240.987
[A] 2
[B] 8
[C] 7
[D] 1
[C] ones
[D] ten-thousandths
8. What is the place of the 1 in 21.5679?
[A] hundredths
[B] tens
9. Which digit is in the tens place in 308.41?
[A] 4
[B] 8
Obj. 53 - Decimal standard form to word name
10. Write 6.7 in words.
[A] sixty-seven hundredths
[B] six and seven tenths
[C] sixty-seven
[D] seven and six tenths
11. Write 161.41 in words.
[A] one hundred sixty-one and forty-one hundredths
[B] one hundred sixty-one and forty-one thousandths
[C] one hundred and sixty-one and forty-one tenths
[D] one hundred and sixty-one and forty-one hundred
28
[C] 1
[D] 0
Topic 4 - Introduction to Decimals
12. Write 0.406 in words.
[A] four hundred and six ten-thousandths
[B] four hundred and six thousandths
[C] four hundred six thousandths
[D] four hundred six ten-thousandths
Obj. 54 - Word name to decimal standard form
13. Write as a decimal in standard form:
fifty-one and ninety-seven hundredths
[A] 5,197
[B] 51.097
[C] 51.97
[D] 519,700
[C] 62.037
[D] 6,237,000
[C] 6,637,000
[D] 0.6637
14. Write as a decimal in standard form:
sixty-two and thirty-seven thousandths
[A] 62.37
[B] 0.6237
15. Write as a decimal in standard form:
sixty-six and thirty-seven thousandths
[A] 66.037
[B] 66.37
Obj. 55 - Order decimals
16. Which of the following are ordered from least to greatest?
[A] 0.6, 0.4, 2.6, 4.5
[B] 4.5, 2.6, 0.6, 0.4
[C] 0.4, 2.6, 0.6, 4.5
[D] 0.4, 0.6, 2.6, 4.5
17. Order the following from least to greatest:
0.027, 0.084, 0.05, 0.094
[A] 0.05, 0.027, 0.084, 0.094
[B] 0.094, 0.084, 0.05, 0.027
[C] 0.094, 0.084, 0.027, 0.05
[D] 0.027, 0.05, 0.084, 0.094
18. Arrange from least to greatest:
26, 0.14, 0.007, 0.3
[A] 0.14, 0.007, 0.3, 26
[B] 0.007, 0.14, 0.3, 26
[C] 26, 0.3, 0.14, 0.007
[D] 0.14, 0.3, 0.007, 26
29
Topic 4 - Introduction to Decimals
Obj. 56 - Round decimals
19. Round 17.2 to the nearest whole number.
[A] 20
[B] 16
[C] 17
20. Round 8.59 to the nearest tenth.
[A] 8.6
[D] 18
[B] 9
[C] 8.5
[D] 8.7
21. Round 21.862 to the nearest tenth.
[A] 21.8
22. Replace
[A] 5
[B] 21.9
[C] 22.0
[D] 862
with a digit which would not allow you to round 13.51
[B] 7
[C] 1
30
[D] 9
to 13.52.
Topic 5 - Decimals: Add and Subtract
Obj. 57 - Add money expressions
1.
$6.30
[A] $3.75
[B] $8.85
[C] $8.70
[D] $7.85
$2.00
+ $0.55
2. $4.37 + $6.78 + $1.25 =
[A] $12.40
3.
$13.20
+ 3.34
[B] $12.39
[A] $10.14
[C] $12.30
[B] $16.14
[C] $26.14
[D] $1,240
[D] $16.54
Obj. 58 - Word Problems: Add money expressions
4. Burt paid $3.42 for fishing line, $2.69 for bait, and $0.76 for line weights. What was
the total cost of these items?
[A] $6.87
[B] $5.87
[C] $5.86
[D] none of these
5. From a mail-order catalog, Barry ordered a wallet for $13.65, a sweater for $37.91,
and a watch for $80.97. He added $15.15 for tax, shipping, and handling. What was
the total cost of Barry’s order?
[A] $146.68
[B] $132.53
[C] $147.68
31
[D] $122.53
Topic 5 - Decimals: Add and Subtract
6. Here is the price list for bath items at Gertrude’s Gifts.
Price List
Containers
Gift Bag
$2.15
Basket
$3.00
Decorated Can $3.25
Lotions and Soaps
Bath Gel
$2.35
Lotion
$2.85
Bubble Bath $3.35
Extras
Bath Beads
$0.85
Sponge
$2.10
Soft Scrubber $2.35
Use the list to determine how much it will cost to buy a basket with bath gel and a
soft scrubber.
[A] $7.45
[B] $7.95
[C] $7.70
[D] $7.65
7. Suppose your savings account has a balance of $63.36. You deposit a check for
$35.05 and another check for $31.66. What is the new balance?
[A] $98.41
[B] $59.97
[C] $130.07
[D] $95.02
Obj. 59 - Add same-place decimals (to thousandths)
8.
4.8
[A] 15.1
[B] 16.7
[C] 15.6
[D] 15.5
10.3
+ 0.5
9. 7.29 + 6.68 + 2.84 =
10. 8.220 + 7.675 =
11. 7.87 + 5.99 + 1.63 =
[A] 5.6
[A] 17.875
[A] 1,549
32
[B] 1,681
[B] 16.895
[B] 15.49
[C] 0.001681
[C] 15.895
[D] 16.81
[D] 21.970
[C] 0.001549
[D] 5.16
Topic 5 - Decimals: Add and Subtract
12.
40.422
+ 40.993
[A] 81.415
[B] 81.315
[C] 80.415
[D] 80.315
Obj. 60 - Add varied-place decimals (to thousandths)
13.
7.03
+ 7.7
[A] 13.73
[B] 13.63
[C] 14.63
[D] 14.73
14.
7.73
18.59
+ 17
.
[A] 9.43
[B] 20.29
[C] 29.72
[D] 28.02
15.
13
[A] 40.84
[B] 41.56
[C] 41.45
[D] 41.79
19 .76
+ 8.8
16. 0.35 + 259 + 1.2 + 0.405 =
[A] 286.855
17. 96.654 + 5.69 =
[B] 278.55
[C] 259.875
[A] 104.054
[B] 97.223
[D] 260.955
[C] 972.23
[D] 102.344
Obj. 61 - Word Problems: Add decimals
18. Tara has 3 packages to mail. The weight of each package is given:
4.81 lb, 1.04 lb and 1.05 lb.
What is the total weight of Tara’s packages?
[A] 6.9 lb
[B] 2.09 lb
[C] 5.85 lb
[D] 5.86 lb
19. In a three-person medley relay race, the 100 meters was run in 10.07 seconds, the
200 meters in 20.17 seconds, and the 400 meters in 45.42 seconds. What was the
total time for the race?
[A] 76.66 sec
[B] 25.22 sec
[C] 75.66 sec
33
[D] 75.76 sec
Topic 5 - Decimals: Add and Subtract
20. Ruth has four strings. One is 16.96 centimeters long, one is 38.35 centimeters long,
one is 64.89 centimeters long and one is 84.41 centimeters long. How many
centimeters of string does she have in all?
[A] 204.61 cm
[B] 206.33 cm
[C] 121.2 cm
[D] 120.2 cm
Obj. 62 - Subtract money expressions
21.
$6.75
− $0.89
22.
$85.32
− $75.93
[A] $9.38
[B] $0.61
[C] $8.39
[D] $9.39
23.
$7559
.
− $2102
.
[A] $44.57
[B] $54.57
[C] $54.56
[D] $53.57
24.
$96.51
− $0.96
[A] $94.55
[B] $95.54
[C] $85.55
[D] $95.55
[A] $7.64
[B] $6.86
[C] $5.86
[D] $5.71
Obj. 63 - Word Problems: Subtract money expressions
25. Each month, Leslie donates part of her paycheck to a different charity. Last month
she gave $55.49 and this month she gave $127.66. How much more did she give this
month than last month?
[A] $183.15
[B] $72.17
[C] $71.17
[D] $233.15
26. Mike had $79.57 in his checking account. He wrote a check for $35.87. How much
money did he have left in the account?
[A] $115.44
[B] $42.70
[C] $116.44
34
[D] $43.70
Topic 5 - Decimals: Add and Subtract
27. You are buying a zippered binder for $13.89. You give the clerk $15.00. How much
change should you receive?
[A] $1.21
[B] $0.10
[C] $1.11
[D] $1.20
Obj. 64 - Subtract same-place decimals (to thousandths)
28.
4.6
− 2.4
[A] 2.2
[B] 1.2
[C] 1.1
[D] 2.1
29.
36.21
− 6.63
[A] 43.14
[B] 42.84
[C] 29.38
[D] 29.58
Obj. 65 - Subtract varied-place decimals (to thousandths)
30.
4.78
− 2.4
[A] 2.88
[B] 2.3
[C] 2.38
[D] 6.38
31. 246.85 − 18.2 =
[A] 64.85
[B] 265.05
[C] 228.65
[D] 2,450.3
32. 17.25 – 1.8 – 2.5 =
[A] 14.75
[B] 15.45
[C] 19.75
[D] 12.95
Obj. 66 - Word Problems: Subtract decimals
33. In the 1992 Olympics, the winning time for the women’s 100-meter race was
10.97 seconds. The winning time of the men’s race was 9.99 seconds. How much
faster was the men’s time?
[A] 0.98 sec
[B] 19.96 sec
[C] 20.96 sec
[D] 0.02 sec
34. John has 4 milligrams of iron and 0.21 milligrams of silicon. How much more iron
does he have than silicon?
[A] 3.79 milligrams
[B] 37.9 milligrams
[C] 4.21 milligrams
[D] 3.89 milligrams
35
Topic 5 - Decimals: Add and Subtract
35. Patrick was fishing with his sister. If he caught a 28.1-centimeter fish and his sister
caught a 32.6-centimeter fish, how much longer was his sister’s fish?
[A] 4.4 cm
[B] 60.7 cm
[C] 4.5 cm
[D] 60.8 cm
36. The weight of a chemical sample and its container is 52.17 grams. If the container
has a weight of 30.984 grams, what is the weight of the sample?
[A] 21.176 g
[B] 21.086 g
[C] 21.196 g
[D] 21.186 g
Obj. 67 - Estimate decimal sums, round
37. Estimate by rounding to the nearest whole number: 8.18 + 6.03
[A] 15
[B] 16
[C] 13
[D] 14
38. Estimate by rounding to the nearest whole number: 6.9 + 11.2 + 0.08
[A] 18.1
[B] 19
[C] 26.0
[D] 18
39. Estimate by rounding to the nearest whole number: 13.13 + 18.72
[A] 32
[B] 29
[C] 32.1
[D] 31
Obj. 68 - Word Problems: Estimate decimal sums, round
40. Joyce added 9.1 feet of cloth onto her 3.7-foot kite tail. Estimate the total length of
Joyce’s kite tail by rounding to the nearest whole number.
[A] 13 feet
[B] 11 feet
[C] 14 feet
[D] 12 feet
41. Estimate by rounding each term to the nearest dollar. Find the total amount of money
Teresa had in her change bank if she added $2.19 to the $7.57 already there.
[A] $9.00
[B] $8.00
[C] $11.00
[D] $10.00
42. Hilda spent $14.97 on souvenirs at one store in Flint Beach. Later she spent $13.81
at another store. Estimate the total amount of money Hilda spent by rounding each
term to the nearest whole dollar.
[A] $28.90
[B] $30.00
[C] $28.00
36
[D] $29.00
Topic 5 - Decimals: Add and Subtract
Obj. 69 - Estimate decimal differences, round
43. Estimate by rounding to the nearest whole number: 4.0 – 0.4
[A] 2
[B] 5
[C] 3
[D] 4
44. Estimate by rounding to the nearest whole number: 8.65 – 1.07
[A] 10
[B] 8
[C] 9
45. Estimate by rounding to the nearest whole number:
[A] 15
[B] 13
[D] 7
15.60
− 2.26
[C] 14
[D] 12
Obj. 70 - Word Problems: Estimate decimal differences, round
46. Shari cut 2.8 meters from a 4.6-meter ribbon. Estimate the new length of the ribbon
by rounding each term to the nearest whole number.
[A] 3 m
[B] 0 m
[C] 2 m
[D] 1 m
47. Fudgy Bars reduced the fat content of their product by 1.68 grams. If the product
began with 4.27 grams of fat, estimate the amount of fat in the new Fudgy Bars
product by rounding to the nearest whole number.
[A] 6 grams
[B] 1 gram
[C] 3 grams
[D] 2 grams
48. Mr. Grinder’s grocery bill was $13.50. He had $5.55 in coupon credits. Round to the
nearest whole dollar to estimate Mr. Grinder’s bill after using the coupons.
[A] $7.00
[B] $8.00
[C] $9.00
37
[D] $10.00
Topic 6 - Decimals: Multiply and Divide
Obj. 71 - Multiply money expressions by 1- and 2-digit whole numbers
1. $55.39 × 8 =
2. $54.56
× 9
[A] $531.92
[A] $581.04
3. $17.29 × 21 =
[B] $491.94
[A] $190.19
[A] $1,006.20
4. $15.48
× 65
[B] $443.12
[C] $451.92
[C] $491.04
[B] $153.09
[B] $356.20
[D] $500.04
[C] $360.99
[C] $999.70
[D] $523.12
[D] $363.09
[D] $851.40
Obj. 72 - Word Problems: Multiply money expressions by whole numbers
5. Rachel baby-sits for $1.75 an hour. If she spends 2 hours baby-sitting, how much
money will she earn?
[A] $1.15
[B] $3.50
[C] $3.25
[D] $1.77
6. Michele receives $2.35 an hour for walking Mrs. Olson’s dog. If she walks the dog 4
hours in a week, about how much money will Michele have made?
[A] $9.40
[B] $9.30
[C] $6.35
[D] $10.50
7. Danetta is having a birthday party at a pizza place. The cost per person for food is
$3.85. How much will the food cost if there are 8 people at Danetta’s party?
[A] $0.48
[B] $30.80
[C] $29.92
[D] $26.95
8. Ruth sold 33 tickets to the school play. Tickets cost $5.65 each. How much money
did Ruth collect?
[A] $192.10
[B] $38.65
[C] $186.45
[D] $55.60
Obj. 73 - Multiply decimals by whole numbers (1-2 digits)
9.
0.6
× 6
[A] 36
[B] 0.36
38
[C] 3.6
[D] 3.2
Topic 6 - Decimals: Multiply and Divide
10. 589
.
× 3
[A] 17.87
[B] 17.67
11. 18.29 × 19 =
[A] 345.61
12. 74.61 × 55 =
[A] 4,849.65
[C] 1.767
[B] 164.61
[D] 1.787
[C] 347.51
[B] 4,653.55
[D] 157.51
[C] 4,103.55
[D] 4,109.05
Obj. 74 - Multiply decimals (to thousandths)
13. 0.12 × 0.2 =
[A] 0.24
14. 0.004 × 7.4 =
[A] 0.296
[B] 0.0024
[C] 0.00024
[B] 0.00296
[D] 0.024
[C] 2.96
[D] 0.0296
15. 0.544 × 0.14 =
[A] 0.07616
[B] 76.16
[C] 7.616
[D] 0.007616
16. 52.6 × 0.019 =
[A] 0.09994
[B] 999.4
[C] 0.9994
[D] 9.994
Obj. 75 - Multiply decimals by powers of 10
17. 0.085 × 10,000 =
[A] 85
[B] 8.5
[C] 8,500
[D] 850
18. 0.489 × 100 =
[A] 48.9
[B] 4.89
[C] 489.0
[D] 0.489
19. 0.39 × 10,000 =
[A] 3,900
[C] 0.39
[D] 0.000039
[B] 390,000
Obj. 76 - Word Problems: Multiply decimals
20. Janelle’s newspaper route is 5.49 miles long. How many miles does she travel in 24
days?
[A] 126.27 miles
[B] 131.86 miles
[C] 131.76 miles
[D] 29.49 miles
21. Each serving of potato chips has 5.75 grams of fat. If a bag contains 3.6 servings,
how many grams of fat are in one bag of potato chips?
[A] 9.35 grams
[B] 8.35 grams
39
[C] 20.8 grams
[D] 20.7 grams
Topic 6 - Decimals: Multiply and Divide
22. Jim feeds animals at a zoo. During the first part of May, the animals in his care ate
21.47 kilograms of food. For the entire month of May, they ate 2.5 times that
amount. How much food did they eat during May?
[A] 23.97 kg
[B] 53.675 kg
[C] 51.175 kg
[D] 26.47 kg
23. One ball bearing has a weight of 2.488 grams. What is the weight of
100,000 ball bearings?
[A] 248,800 g
[B] 2,488 g
[C] 248,800,000 g
[D] 2,488,000 g
Obj. 77 - Estimate decimal products, round
24. Estimate by rounding to the greatest place: 8.09 × 0.47
[A] 0.4
25.
[B] 0.04
[C] 40
[D] 4
Estimate by rounding to the greatest place: 5.94 × 2.9
[A] 180
[B] 1,800
[C] 1.8
[D] 18
26. Estimate by rounding to the tens place: 89.15 × 29.12
[A] 2,700
[B] 270
[C] 2,400
[D] 240
Obj. 78 - Word Problems: Estimate decimal products, round
27. Lamb chops cost $2.95 per pound at the market. If Betty bought 3.05 pounds, what
was the cost? Round to the greatest place to estimate the answer.
[A] $6.00
[B] $9.00
[C] $10.00
[D] $7.00
28. 27% of the 8.94 inches of rain fell before noon. 27% can be written as 0.27. By
rounding each decimal term to the greatest place, estimate the amount of rain which
fell before noon.
[A] 27 in.
[B] 270 in.
[C] 0.27 in.
40
[D] 2.7 in.
Topic 6 - Decimals: Multiply and Divide
29. The area of a rectangle is found by multiplying length times width. A rectangular
chalk drawing measures 3.8 meters long and 0.93 meter wide. About how many
square meters does the chalk drawing cover? Estimate by rounding to the greatest
place.
[A] 360 square meters
[B] 0.36 square meters
[C] 3.6 square meters
[D] 36 square meters
Obj. 79 - Divide money expressions by 1- and 2-digit whole numbers
30. 13 $208.52
31. $ 97.20 ÷ 18 =
32. 42 $12.18
33. $4185
. ÷ 93 =
[A] $16.04
[B] $26.02
[A] $4.40
[A] $0.29
[C] $15.09
[D] $17.07
[C] $44
[D] $0.54
[B] $5.40
[B] $0.31
[A] $0.41
[C] $0.27
[B] $0.49
[D] $0.39
[C] $0.55
[D] $0.45
Obj. 80 - Word Problems: Divide money expressions
34. David bought 3 pieces of candy at a specialty candy shop and then later bought 7
more. The total cost was $4.20. How much did the shop charge per piece of candy?
[A] $0.42
[B] $7.20
[C] $0.32
[D] $11.20
35. A grocery store is having a sale on produce. The price for 2 artichokes is $1.04. Each
artichoke costs the same. How much is one artichoke?
[A] $0.62
[B] $0.52
[C] $2.08
[D] $3.04
36. A 6-pound bag of dog food costs $6.96. Find the cost per pound.
[A] $1.06
[B] $1.16
[C] $7.16
[D] $12.96
37. Nora borrowed $6,012.00 to buy a car. She is going to pay back the loan with
24 equal payments. How much will each payment be?
[A] $226.50
[B] $243.50
[C] $250.50
41
[D] $274.50
Topic 6 - Decimals: Multiply and Divide
38. A choir group of 28 ordered matching T-shirts. The total cost was $420.00. How
much did each T-shirt cost?
[A] $15.00
[B] $7.50
[C] $43.00
[D] $45.25
39. A package of 13 designer hair clips costs $22.75. What is the cost per clip?
[A] $14.75
[B] $1.75
[C] $2.25
[D] $15.50
Obj. 81 - Divide decimals by 1-digit whole numbers
40. 6 4.2
41. 3.66 ÷ 6 =
42. 5 0.9
[A] 0.7
[A] 6.01
[A] 1.8
[B] 0.07
[C] 0.4
[B] 0.601
[B] 18.0
[C] 6.1
[C] 0.18
[D] 7
[D] 0.61
[D] 0.108
Obj. 82 - Word Problems: Divide decimals by whole numbers
43. Ms. Kelley cut a piece of ribbon 7.21 meters long into 7 pieces of equal length. What
was the length of each piece?
[A] 1.03 m
[B] 1.3 m
[C] 50.47 m
[D] none of these
44. Chet spent $2.84 at the stationery store. If he bought 4 pencils, how much did each
pencil cost?
[A] $11.36
[B] $0.73
[C] $0.71
[D] $0.70
45. Each student in Mr. French’s class who turns in all of the homework receives a
pencil. Mr. French spent twenty-four dollars on pencils. If each pencil cost $0.60,
how many pencils did he buy?
[A] 40 pencils
[B] 400 pencils
42
[C] 500 pencils
[D] 50 pencils
Topic 7 - Introduction to Fractions
Obj. 83 - Model fractions and mixed numbers
1. What mixed number is pictured below?
[A] 3
1
6
[B] 3
2. Which fraction bar shows
1
3
[C] 3
3
shaded?
10
[A]
[B]
[C]
[D]
43
[D] 6
2
3
Topic 7 - Introduction to Fractions
3. Look at these pictures of balloons. Find the picture that has
1
of the balloons
4
shaded.
[A]
[B]
[C]
[D]
Obj. 84 - Model fractions and mixed numbers on number lines
4. The point on the graph shows which fraction?
0
[A]
1
6
1
[B]
2
7
[C] 1
44
1
6
[D] 0
Topic 7 - Introduction to Fractions
5. Which letter best represents the number 1
7
on the number line?
8
S R TU
1
2
3
[A] S
4
[B] T
[C] R
6. Which letter represents the number 3
3
on the number line?
4
P
1
2
[A] Q
[D] U
3
Q
R
S
4
[B] R
5
[C] S
[D] P
Obj. 85 - Word Problems: Name fraction of a whole or set
7. On Friday there were eleven animals adopted from the Aubry County Humane
Society. Of the animals adopted, ten were cats. What fraction of the animals adopted
were cats?
[A]
10
1
[B]
10
11
[C]
1
10
[D]
11
10
8. A live tree exhibit has 3 hemlock trees, 9 oak trees, and 8 ash trees. What fraction of
the exhibit is oak trees?
[A]
9
12
[B]
9
20
[C]
9
11
[D]
9
19
9. Graham divided his garden into 15 sections. So far, he has planted 2 of the sections.
What fraction of the garden has been planted?
[A]
13
15
[B] 2
[C]
2
13
[D]
2
15
Obj. 86 - Simplify fractions
10. Reduce
27
to lowest terms.
36
[A]
45
3
4
[B]
3
5
[C]
1
5
[D]
2
3
Topic 7 - Introduction to Fractions
11. Reduce
28
to lowest terms.
35
[A]
4
5
[B] 7
12. Reduce
6
to lowest terms.
10
[A]
60
100
[B]
15
8
[C] 28
[C]
[D]
3
5
[D]
[D]
1 3
=
2 3
Obj. 87 - Model equivalent fractions
13. What equivalent fractions are shaded?
[A]
4 1
=
3 6
[B]
1 3
=
2 6
14. This figure shows the fraction
[C]
1
.
2
The fraction shown below is also equal to
[A]
4
8
[B]
1 63
=
2 360
4
12
1
. What fraction does it show?
2
[C]
46
1
8
[D]
1
12
7
9
5
4
Topic 7 - Introduction to Fractions
15. What two fractions name the shaded part?
[A]
1 2
;
4 8
2 2
;
2 4
[B]
1 2
;
2 4
[C]
[D]
1 1
;
2 4
[D]
4
9
[D]
34
21
Obj. 88 - Equivalent fractions
16. Find a fraction equivalent to
[A]
8
9
[B]
2
with a denominator of 9.
3
6
9
7
9
[C]
17. Which of the following fractions is equivalent to
[A]
28
51
[B]
35
68
[C]
7
?
17
42
102
18. Find the missing number to make the fractions equivalent.
[A] 14
[B] 30
[C] 17
5
15
=
10
?
[D] 15
Obj. 89 - Proper and improper fractions
19. How many of these fractions are proper?
[A] 3
[B] 4
7 2 4 4
, , ,
6 7 8 9
[C] 2
[D] 1
20. Which of the following is an improper fraction?
[A]
6
8
[B]
5
11
[C]
47
5
8
[D]
10
5
Topic 7 - Introduction to Fractions
21. Which of the following is a proper fraction?
[A]
4
2
[B]
1
2
[C]
10
4
[D]
5
5
Obj. 90 - Mixed numbers to improper fractions
22. Write 2
1
as an improper fraction.
3
[A]
21
3
[B]
7
3
[C]
5
3
[D]
6
3
1
23. The diagram below illustrates the mixed number 2 . What fraction does it
5
represent?
[A]
2
5
[B]
3
5
[C]
10
5
[D]
11
5
[C]
35
7
[D]
12
7
3
4
[D]
3
4
5
24. Choose the fraction that is equal to 1 .
7
[A]
7
12
[B]
7
35
Obj. 91 - Improper fractions to mixed numbers
25. Write
[A] 1
23
as a mixed number.
4
4
19
[B] 23
1
4
26. Write
46
as a mixed number.
7
27. Write
23
as a mixed number.
4
[A] 5
3
4
[B] 1
[C] 5
[A] 6
4
19
[C]
48
7
4
[B] 6
3
4
4
7
[C] 1
7
7
[D] 23
1
4
[D] 1
6
7
Topic 7 - Introduction to Fractions
Obj. 92 - Compare fractions
28. Name and compare the shaded fraction parts using >, <, or =.
[A]
1
1
<
2
6
[B]
1 1
=
6 2
[C]
1 1
<
6 2
[D]
1 2
>
6 1
29. Name and compare the shaded fraction parts using >, <, or =.
[A]
1 6
<
6 5
30. Compare:
[A]
1
4
[B]
1 1
<
6 6
[C]
1 1
=
6 6
[D]
1 1
>
6 6
[B]
1
1
=
4
2
[C]
1
1
<
4
2
[D]
1
1
>
4
2
1
2
1
1
<
2
4
Obj. 93 - Order fractions, like denominators
31. Which of the following are ordered from least to greatest?
[A]
3 1 4 7
, , ,
7 7 7 7
[B]
1 3 4 5
, , ,
5 5 5 5
[C]
7 4 3 1
, , ,
7 7 7 7
[D]
1 4 3 5
, , ,
5 5 5 5
49
Topic 7 - Introduction to Fractions
32. Which of the following fractions is least?
7 1 8 14
,
,
,
15 15 15 15
[A]
7
15
[B]
1
15
[C]
8
15
[D]
14
15
23 18 16
9
,
,
, and are placed in order from least to greatest, which would be
8 8 8
8
first?
33. If
[A]
16
8
[B]
18
8
[C]
9
8
[D]
23
8
1
10
[D]
7
8
Obj. 94 - Order fractions, unlike denominators
34. Which of the following fractions is least?
1 7 7 7
, , ,
10 8 7 14
[A]
7
14
[B]
7
7
[C]
35. Which shows the following fractions in order from least to greatest?
7
2
3
8
4
4
[A]
3
4
2
4
7
8
[B]
2
4
7
8
3
4
[C]
7
8
2
4
3
4
[D]
2
4
3
4
36. Which of the following fractions is least?
1 1
1 1 1
,
,
, ,
8 10 12 2 6
[A]
1
12
[B]
1
10
[C]
1
6
[D]
1
8
Obj. 95 - Find reciprocals
37. Find the reciprocal of
11
.
13
[A] 11
50
[B]
2
13
[C]
13
11
[D] 13
7
8
Topic 7 - Introduction to Fractions
38. Find the reciprocal of
39.
9
×
5
=1
1
.
7
[A]
[A] 7
9
5
[B] 1
51
[B] 71
[C] 0
[C] 17
[D]
[D]
5
9
7
7
Topic 8 - Fractions: Add and Subtract
Obj. 96 - Add like fractions
1.
2
1
+
=
4
4
2.
3
7
+
=
15
15
[A]
3.
17
30
[A] 1
4.
3
4
[C] 1
2
15
[B]
3
4
[C]
3
8
1
2
[D]
2
3
(Reduce your answer)
[B] 1
7
8
8
2
5
2
+
+
+
=
17
17
17
17
[A] 1
1
2
(Reduce your answer)
[B] 1
11 3
+
=
8
8
[A]
(Reduce your answer)
[B]
[C]
14
16
[D] 2
(Reduce your answer)
16
17
[C]
19
68
[D]
1
4
Obj. 97 - Add like mixed numbers
5. 8
7
1
+ 1 =
8
8
[A] 10
6. 5
7
8
4
1
+2
=
11
11
[A] 4
3
11
(Reduce your answer)
[B] 9
[C] 10
[D] 9
7
8
[D] 3
3
22
(Reduce your answer)
[B]
3
11
[C] 7
52
5
11
[D]
1
4
Topic 8 - Fractions: Add and Subtract
7.
5
1
4
+4 +4 =
9
9
9
[A] 8
8. 6
(Reduce your answer)
2
9
[B] 9
9
12
+ 3 =
17
17
[A] 10
5
9
[C] 9
1
9
[D] 8
2
3
4
17
[D] 10
(Reduce your answer)
5
17
[B] 9
4
17
[C] 11
4
17
Obj. 98 - Word Problems: Add like fractions and mixed numbers
9. You shared a pizza with two friends. You ate
1
of the pizza. One of your friends ate
7
1
3
of the pizza and the other ate of the pizza. What fraction of the pizza did you
7
7
and your friends eat?
[A]
5
of the pizza
21
[B]
4
of the pizza
7
[C]
4
of the pizza
21
[D]
5
of the pizza
7
10. Michele has
1
5
cup of flour and cup of sugar. How many cups does she have all
8
8
together?
[A]
3
cup
4
[B]
7
cup
8
[C]
8
cups
3
11. While helping out on their uncle’s farm, Ruby picked 6
Eldon picked 7
[D]
3
cup
8
1
bushels of pears and
2
1
bushels. How many bushels of pears did they pick all together?
2
[A] 13 bushels
[B] 13
1
bushels
2
53
[C] 14
1
bushels
2
[D] 14 bushels
Topic 8 - Fractions: Add and Subtract
12. One morning Auntie Lou’s Pie Place sold
1
of a lemon meringue pie,
7
5
3
apple pies, and 4 peanut butter cream pies. How many pies were sold that
7
7
morning?
4
[A] 9
2
pies
7
3
pies
7
[B] 8
[C] 9
5
pies
7
[D] 8
6
pies
7
Obj. 99 - Add unlike fractions
13.
2
1
+
=
4
8
[A]
14.
1
1
+ =
12
8
[A]
15.
3
32
1
24
7
1
+
=
8
7
[A]
8
15
(Reduce your answer)
[B]
3
4
[C]
3
12
[D]
5
8
[C]
1
10
[D]
1
20
[C]
57
56
[D]
1
8
(Reduce your answer)
[B]
5
24
(Reduce your answer)
[B]
56
57
Obj. 100 - Add unlike mixed numbers
16. 3
1 1
+ =
2
3
[A] 3
5
6
(Reduce your answer)
[B] 1
1
2
[C] 1
54
4
5
[D] 5
3
4
Topic 8 - Fractions: Add and Subtract
17. 4
1
7
+3 =
6
8
[A] 7
18. 8
4
7
1
2
+4 =
4
3
[A] 20
19. 8
3
8
[C] 8
1
24
[D] none of these
(Reduce your answer)
[B] 12
1
2
[C] 12
11
12
[D] 13
[C] 11
1
12
[D] 11
(Reduce your answer)
5
12
7
3
+3 =
9
8
[A] 3
[B] 7
1
10
2
3
+ 3 =
3
4
[A] 12
20. 1
(Reduce your answer)
[B] 24
1
2
5
7
(Reduce your answer)
1
8
[B] 4
10
17
[C] 5
11
72
[D] 2
14
17
Obj. 101 - Word Problems: Add unlike fractions and mixed numbers
2
1
of the lawn. Later, Nina mowed of the lawn. How much of the
9
2
lawn did they mow all together?
21. Jerry mowed
[A]
6
of the lawn
17
[B]
1
of the lawn
9
[C]
13
of the lawn
18
[D]
18
of the lawn
13
55
Topic 8 - Fractions: Add and Subtract
4
1
7
of a bottle of juice, Alex has of a bottle of juice, and Monica has
5
2
10
of a bottle of juice. How much juice do they have all together?
22. Bill has
[A]
11
bottle
17
[B] 2 bottles
[C] 2
1
bottles
10
[D]
23. Joy is making a tier cake to decorate. The bottom layer requires 5
batter and the top layer requires 4
12
bottle
17
3
cups of cake
4
1
cups of cake batter. How much batter does she
3
need in all?
[A] 20
1
cups
4
[B] 9
4
cups
7
[C] 10
1
cups
12
[D] 9
1
cups
12
Obj. 102 - Subtract like fractions
24.
19
9
−
=
28
28
[A]
25.
8
6
–
=
17 17
[A]
26.
5
28
2
17
10 8
– =
3
3
(Reduce your answer)
[B]
3
7
[C]
9
56
[D]
5
14
[C]
3
17
[D] 2
(Reduce your answer)
[B]
14
17
(Reduce your answer)
[A] 2
[B] 6
[C]
2
3
Obj. 103 - Subtract mixed like numbers
27. 7
15
8
–1
=
17
17
[A] 6
7
34
(Reduce your answer)
[B] 7
7
17
[C]
56
7
17
[D] 6
7
17
[D] 1
Topic 8 - Fractions: Add and Subtract
28.
3
5
2
−3
5
6
(Reduce your answer)
[A] 1
29. 6
4
5
5
3
–4
=
14
14
[A] 2
1
7
1
5
[B] 3
[C] 4
1
5
[D] 2
3
5
(Reduce your answer)
[B] 1
3
4
[C] 10
4
7
[D] 30
Obj. 104 - Subtract unlike fractions
30.
3
5
–
=
4
12
[A]
31.
32.
1
7
(Reduce your answer)
[B]
6
7
3
−
8
9
10
4
−
5
1
3
[C]
1
8
[D]
1
2
27
56
(Reduce your answer)
[A]
3
56
[B]
38
56
[C]
(Reduce your answer)
[A]
1
10
[B]
1
2
[C] 1
[D]
Obj. 105 - Subtract mixed numbers from whole numbers
33. 7 – 2
1
=
2
[A] 6
1
2
(Reduce your answer)
[B] 4
1
2
[C] 5
57
1
2
[D] 9
[D]
1
2
41
50
37
56
Topic 8 - Fractions: Add and Subtract
34.
53
− 24
(Reduce your answer)
7
11
[A] 28
35. 6 − 5
4
11
1
=
3
[A] 5
2
3
[B] 29
4
11
[C] 29
7
11
[D] 28
7
11
[D] 11
1
3
(Reduce your answer)
1
3
[B] 1
[C]
2
3
Obj. 106 - Subtract unlike mixed numbers, no regroup
36.
8
(Reduce your answer)
9
1
−5
4
10
[A] 5
37. 9
3
1
–8 =
5
2
[A] 3
38. 5
7
5
7
10
5
3
–1 =
6
5
[A] 4
7
30
23
36
[B] 5
[C] 2
19
36
[D] none of these
[C] 1
2
3
[D] none of these
[C] 3
23
30
[D] none of these
(Reduce your answer)
[B] 1
1
10
(Reduce your answer)
[B] 4
9
10
58
Topic 8 - Fractions: Add and Subtract
Obj. 107 - Subtract mixed numbers, regroup
39.
40.
3
8
6
−4
8
6
1
7
4
−2
7
8
41. 13
42. 3
3
8
[B] 1
5
8
[C] 2
1
4
[D] 2
5
8
[A] 6
3
7
[B] 6
4
7
[C] 5
3
7
[D] 5
4
7
4
7
–2
=
11
11
1
2
–2 =
3
5
[A]
43. 14
[A] 1
2
15
11
24
8
11
[B] 2
[C] 9
1
13
[D] 16
(Reduce your answer)
[B] 1
1
7
–1 =
3
8
[A] 12
[A] 10
1
5
[C] 1
1
15
[D]
14
15
(Reduce your answer)
[B]
11
251
[C] 13
11
24
[D] 13
Obj. 108 - Word Problems: Subtract fractions
1
5
of a quart of milk. Harry drank of a quart. How much more did
8
6
Harry drink than Patrick?
44. Patrick drank
[A]
17
qt
24
[B]
1
qt
12
[C]
59
23
qt
24
[D] 2 qt
Topic 8 - Fractions: Add and Subtract
45. The width of a doormat is
3
7
yard. The doorway is yard wide. Find the difference
4
8
in widths.
[A]
1
yard
8
[B]
7
yard
32
[C] 1
5
yards
8
46. After fishing for 3 hours, Billy caught a fish that was 14
caught one that was 11
[D] 1
13
yards
32
3
inches long, and Erika
4
1
inches long. How much longer was Billy’s fish than
8
Erika’s fish?
[A] 3
3
in.
4
[B] 3
7
in.
8
[C] 4
5
in.
8
[D] none of these
1
3
yards of material. Her new skirt will take 3 yards. How much
2
4
material will she have left after the skirt is made?
47. Irma has 6
[A] 7 yd
[B] 4
1
yd
4
[C] 2
3
yd
4
[D] 10
1
yd
4
5
1
48. Phillipe has 5 yards of wire. To make a fence he will need to use 3 yards. How
8
3
much wire will he have left after the fence is made?
[A] 2
3
yd
8
[B] 2
7
yd
24
[C] 2 yd
60
[D] 2
5
yd
24
Topic 9 - Fractions: Multiply and Divide
Obj. 109 - Multiply fractions
1.
1
7
×
=
4
10
[A]
2.
1
4
13
54
2
4
×
=
7
7
[A]
8
49
35
2
[C]
5
14
[D]
7
40
[C]
16
9
[D] none of these
[C]
8
3
[D] none of these
[C]
8
7
[D] none of these
(Reduce your answer)
[B]
5
8
×
=
6
9
[A]
4.
[B]
3
2
×
=
8
3
[A]
3.
1
2
(Reduce your answer)
5
24
(Reduce your answer)
[B]
16
15
(Reduce your answer)
[B]
6
49
Obj. 110 - Multiply fractions by whole numbers
5. 6 ×
5
=
9
[A] 5
6.
2
9
4
× 5=
35
[A]
4
7
(Reduce your answer)
[B] 3
[C] 6
5
9
[D] 3
1
3
(Reduce your answer)
[B]
2
25
[C]
61
7
4
[D]
4
35
Topic 9 - Fractions: Multiply and Divide
7. 7 ×
[A]
1
=
11
(Reduce your answer)
7
77
[B]
1
77
[C]
7
11
[D]
77
7
Obj. 111 - Word Problems: Multiple fractions by whole numbers, fractions
5
1
yard of yarn. She used of it. How much yarn did she use?
9
7
8. Denise had
[A]
6
yard
63
9. You drank
[A]
[B] 63 yards
[C]
44
yard
63
[D]
5
yard
63
1
1
of of a cup of soda. How much soda did you drink?
4
7
2
cup
11
[B]
1
cup
11
[C]
1
cup
14
[D]
1
cup
28
10. One fifth of the team’s 80 points were scored by Larry. Larry scored how many
points?
[A] 11 points
[B] 17 points
[C] 16 points
[D] 80 points
Obj. 112 - Multiply mixed numbers by fractions
11.
1
1
× 2 =
2
3
[A] 2
12. 6
5
6
4
2
×
=
5
7
[A] 1
33
35
(Reduce your answer)
[B] 1
2
9
[C] 1
2
19
[D] 1
[C] 1
13
35
[D]
1
6
(Reduce your answer)
[B]
8
35
62
2
5
Topic 9 - Fractions: Multiply and Divide
13.
1
1
× 4 =
5
6
[A] 1
1
4
(Reduce your answer)
[B]
5
6
[C]
1
5
[D]
1
30
Obj. 113 - Word Problems: Multiply mixed numbers by whole numbers, fractions
14. Fred had 6
[A] 1
1
2
sacks of cement and used of it. How much cement did Fred use?
5
7
27
sacks
35
[B]
12
sacks
35
[C] 35 sacks
[D] 6
1
sacks
6
15. At a warehouse, boxes of merchandise are placed on shelves in stacks that are 12
1
boxes high. If each box is 18 inches in height, how tall is the stack of boxes?
8
[A] 217
1
in.
2
[B] 218 in.
[C] 216
16. Susan found a board to make a shelf. It was 13
1
in.
8
[D] 215
1
in.
4
1
1
feet long. She needed of it for
2
3
the shelf. How long was the shelf?
[A] 4
1
ft
3
[B] 4 ft
[C] 4
1
ft
2
[D] 13
1
ft
6
1
5
[D] 20
2
5
Obj. 114 - Multiply mixed numbers
17. 3
3
2
× 5 =
5
3
[A] 21
18. 4
3
5
8
1
× 3 =
9
6
[A] 15
13
27
(Reduce your answer)
[B] 15
2
5
[C] 19
(Reduce your answer)
[B] 3
4
5
[C] 4
63
1
5
[D] 5
1
3
Topic 9 - Fractions: Multiply and Divide
19. 4
1
2
× 3 =
4
3
[A] 4
(Reduce your answer)
5
7
[B] 4
[C] 2
2
3
7
12
[D] 15
Obj. 115 - Divide whole numbers by fractions
20. 3 ÷
1
=
3
(Reduce your answer)
[A] 9
21. 6 ÷
3
=
4
(Reduce your answer)
[A]
22. 15 ÷
5
=
9
[A] 12
[B] 3
1
2
[B] 8
1
3
[D]
1
9
[C] 2
[D]
1
8
[C]
(Reduce your answer)
[B]
1
27
[C] 27
[D]
1
12
Obj. 116 - Word Problems: Divide whole numbers by fractions
23. Tiffany is making necklaces. She has 20 yards of string. If Tiffany cuts the string
5
into -yard pieces, how many necklaces can she make?
7
[A] 12 necklaces
[B] 10 necklaces
[C] 28 necklaces
[D] 25 necklaces
24. Dana used a 10-foot piece of wood to make blocks. She divided it into
2
-foot
4
pieces. How many blocks did Dana have?
[A] 12 blocks
[B] 14 blocks
[C] 20 blocks
[D] 23 blocks
25. Isabel walked a distance of 4 miles to deliver a storage box. She stopped every
mile to rest. How many times did Isabel stop?
[A] 11 times
[B] 9 times
[C] 20 times
64
[D] 23 times
1
5
Topic 10 - Measurement, Time, Money, and Temperature
Obj. 117 - Estimate customary measure
1. A _______ would be about two feet tall.
[A] two-story building
[B] basketball player
[C] fire hydrant
[D] mouse
2. The most likely customary measure for the difference between the weight of a rabbit
and the weight of a grown hippo would be about ______.
[A] 130 pounds
[B] 130 tons
[C] 2 pounds
[D] 2 tons
3. Which measure best describes the amount of water that a trashcan will hold?
[A] 30 c
[B] 300 fl oz
[C] 30 gal
[D] 100 gal
Obj. 118 - Measure customary length
4. Which arrow marks
H I
7
inches?
8
P
inch
K
1
2
[A] P
3
[B] H
4
[C] K
[D] I
5. The arrow is pointing to which value on the ruler below?
1 in.
[A] 2
1
inches
8
2 in.
[B] 2
3 in.
1
inches
4
65
[C] 2
4 in.
3
inches
8
[D] 2
1
inches
2
Topic 10 - Measurement, Time, Money, and Temperature
6. How long is this segment to the nearest sixteenth of an inch?
inch
[A] 1
1
1
in.
16
2
3
[B] 1 in.
4
[C]
13
in.
16
[D]
15
in.
16
Obj. 119 - Convert customary length
7. 2 feet = _____ inches
[A] 48
[B] 6
[C] 20
[D] 24
8. 5 yards = _____ inches
[A] 180
[B] 15
[C] 60
[D] 240
9. 21 feet = _____ yards
[A] 63
[B] 252
[C] 42
[D] 7
[A] 24
[B] 16
[C] 96
[D] 288
10. 8 yards = _____ feet
Obj. 120 - Convert customary weight
11. Convert 112 ounces to pounds.
[A] 1.75 lb
[B] 1120 lb
[C] 448 lb
[D] 7 lb
[C] 70,000 lb
[D] 14,000 lb
12. Convert 7 tons to pounds.
[A] 1,400 lb
[B] 140,000 lb
13. A book weighs about 7 pounds. How many ounces are in seven pounds?
[A] 112 ounces
[B] 128 ounces
[C] 70 ounces
[D] 84 ounces
Obj. 121 - Convert customary capacity
14. Which statement is incorrect?
[A] 24 pints = 6 quarts
[B] 36 quarts = 9 gallons
[C] 40 pints = 5 gallons
[D] 16 cups = 8 pints
66
Topic 10 - Measurement, Time, Money, and Temperature
15. A soup recipe calls for 3
3
1
pints of water. How many cups are equivalent to
4
1
pints?
4
[A] 0.615 c
[B] 13 c
[C] 6.5 c
[D] 104 c
[C] 3.5 gal
[D] 112 gal
16. Convert 56 pints to gallons.
[A] 5.6 gal
[B] 7 gal
Obj. 122 - Estimate metric measure
17. The difference in height between a building and a bicycle might be about ______.
[A] 10 meters
18.
[B] 10 centimeters
[C] 10 kilometers
[D] 10 millimeters
1,500 grams is a likely weight for a ______ .
[A] mother whale
[B] school book
[C] hamburger
[D] giraffe
Obj. 123 - Measure metric length
19. How long is the line? Use the ruler below.
mm 10
20
[A] 53 mm
30
40
50
[B] 4.3 mm
[C] 43 mm
[D] 5.3 mm
20. What is the length of the segment above the ruler below? (The ruler is not drawn to
scale.)
1 cm
[A] 3.2 cm
2 cm
3 cm
[B] 3.6 cm
4 cm
[C] 3.4 cm
67
[D] 3.4 mm
Topic 10 - Measurement, Time, Money, and Temperature
Obj. 124 - Convert metric length
21. 5 meters = _____ centimeters
[A] 5
[B] 5,000
[C] 500
[D] 50
22. 19 centimeters = _____ millimeters
[A] 19,000
[B] 1,900
[C] 10
[D] 190
[C] 240
[D] 24,000
[C] 410,000
[D] 410
[C] 50,000
[D] 500
[C] 40,000
[D] 40
[C] 200
[D] 20
[C] 39
[D] 390
[C] 300
[D] 3
[C] 633,000
[D] 63,300
23. 2,400 centimeters = _____ meters
[A] 24
[B] 240,000
24. 4,100 millimeters = _____ centimeters
[A] 4,100
[B] 41,000
25. 5 kilometers = _____ meters
[A] 5,000
26.
[B] 50
40,000 meters = _____ kilometers.
[A] 400
[B] 4,000
Obj. 125 - Convert metric weight
27. 2 kilograms = _____ grams
[A] 20,000
28.
[B] 2,000
39,000 grams = _____ kilograms
[A] 39,000
[B] 3,900
29. 3,000 milligrams = _____ grams
[A] 300,000
30.
[B] 30,000
633 grams = _____ milligrams
[A] 63,300,000
[B] 6,330,000
68
Topic 10 - Measurement, Time, Money, and Temperature
Obj. 126 - Convert metric capacity
31. 4,410 milliliters = _____ liters
[A] 44.1 liters
[B] 4.41 liters
[C] 441,000 liters
[D] 44,100 liters
32. 14 liters = _____ milliliters
[A] 14,000
[B] 1,400,000
[C] 1,400
[D] 1,000
33. A barrel contains 22 liters of apple juice. How many milliliters of apple juice does it
contain?
[A] 2,200 ml
34.
[B] 22,000 ml
[C] 2.2 ml
[D] 220 ml
[C] 5,000 liters
[D] 500 liters
Equivalent Units
1 kL = 1000 L
How many liters are in 5 kiloliters?
[A] 50 liters
[B] 5 liters
Obj. 127 - Calculate elapsed time
35. If it is evening, what time will it be in 4 hours and 25 minutes?
11
12
1
2
10
9
3
8
4
7
6
[A] 6:20 a.m.
5
[B] 12:20 p.m.
69
[C] 11:11 a.m.
[D] 11:20 p.m.
Topic 10 - Measurement, Time, Money, and Temperature
36. If it is afternoon, what time was it 2 hours and 10 minutes ago?
11
12
1
2
10
9
3
8
4
7
6
[A] 2:10 a.m.
5
[B] 4:40 a.m.
[C] 3:40 p.m.
[D] 2:40 p.m.
37. What is the time 9 hours after 9:00 p.m.?
[A] 6:00 a.m.
[B] 12:00 midnight
[C] 12:00 noon
[D] 6:00 p.m.
38. Tammy looked at her digital clock for the time. The time was 4:09:31. She checked
the clock again 10 seconds later. What time did the clock show then?
[A] 4:09:41
[B] 14:09:31
[C] 4:09:101
[D] 4:19:31
Obj. 128 - Read calendars
39. There are approximately 29 days between new moons. If the new moon appears on
January 18, when will the next new moon be?
[A] March 13
[B] February 17
[C] February 16
[D] February 19
40. If May 19 is a Tuesday, what is the date of the Tuesday before?
[A] May 26
[B] May 12
[C] April 12
70
[D] April 26
Topic 10 - Measurement, Time, Money, and Temperature
41.
OCTOBER
SUN MON TUE WED THUR FRI SAT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
29
23
30
24
31
25
26
27
28
What is the date that is 16 days after the second Tuesday of October?
[A] November 1
[B] October 27
[C] October 26
[D] October 3
Obj. 129 - Read thermometers
42. Name the temperature that the thermometer shows.
110
100
90
80
70
60
50
40
30
20
10
0
–10
°F
[A] 100° F
[B] 92° F
[C] 96° F
71
[D] 94° F
Topic 10 - Measurement, Time, Money, and Temperature
43. Name the temperature that the thermometer shows.
110
100
90
80
70
60
50
40
30
20
10
0
–10
°F
[A] 4° F
[B] 3° F
[C] –6° F
[D] 5° F
44. Which temperature is closest to the reading on the thermometer?
[A] 21 °F
[B] 12 °F
[C] 18 °F
72
[D] 3 °F
Topic 10 - Measurement, Time, Money, and Temperature
Obj. 130 - Count money
45. You bought some balloons that cost $4.81. List the bills and coins that you could
receive as change if you paid with a five-dollar bill.
[A] 1 dime, 1 nickel, 4 pennies
[B] 2 dimes, 1 nickel, 5 pennies
[C] 1 one-dollar bill, 1 dime, 2 nickels, 4 pennies
[D] 1 one-dollar bill, 2 dimes, 2 nickels, 5 pennies
46. You have seven quarters, twelve dimes and twelve nickels. You can choose 1 toy to
buy. What are the toys that you can choose from?
Yo − Yo Modeling Clay Paint Set Board Game Puzzle Jump Rope
$1.25
$2.00
$1.00
$5.75
$4.50
$1.50
[A] Board Game, Jump Rope
[B] Yo-Yo, Modeling Clay, Paint Set, Jump Rope
[C] Yo-Yo, Modeling Clay, Paint Set, Puzzle
[D] Board Game, Puzzle
47. You bought a ball that cost $2.23. List the coins that you could receive as change if
you paid with 3 one-dollar bills.
[A] 2 quarters, 2 dimes, 1 nickel, 2 pennies
[B] 3 quarters, 2 dimes, 2 nickels, 2 pennies
[C] 2 quarters, 3 dimes, 2 nickels, 3 pennies
[D] 2 quarters, 3 dimes, 1 nickel, 3 pennies
Obj. 131 - Word Problems: 2-step with money
48. Jane needs 12 “C” batteries for a science project she is working on. The batteries
come in packs of 3 and cost $3.50 for each pack. How much will it cost her to buy
the batteries?
[A] $14.00
[B] $10.50
[C] $13.00
[D] $42.00
49. While shopping for school supplies you buy 3 glue sticks for $0.78 each, 2 folders
for $0.59 each, and a zippered binder for $13.89. You give the clerk $20.00. How
much change should you get?
[A] $4.74
[B] $1.58
[C] $5.73
73
[D] $2.59
Topic 10 - Measurement, Time, Money, and Temperature
50. Esther bought 4 books at $19 each, 5 tapes at $9 each, and 2 posters at $4 each.
What was the total cost of this merchandise?
[A] $129
[B] $119
[C] $140
[D] $43
51. Listed below are the prices of the Handy Dandy Laundromat.
Wash per load
Dry per load
Soap
Bleach
$1.00
$1.05
$1.20
$0.75
Tanya washes and dries 3 loads and buys 2 boxes of soap and a box of bleach. How
much does Tanya spend?
[A] $8.55
[B] $6.30
[C] $9.30
[D] $6.15
52. Carlos wants to buy a CD player for $99. If he has $70 now and plans to save $5 per
week, how long will it take him to save enough money?
[A] 6 weeks
[B] 20 weeks
[C] 7 weeks
74
[D] 19 weeks
Topic 11 - Geometry
Obj. 132 - Points, lines, segments, rays, and angles
1. Which figure shows a segment?
[A]
[B]
A
C
B
B
A
[D]
[C]
A
B
A
2. What word best describes the figure?
C
B
A
[A] segment
[B] line
[C] angle
3. Identify the angle:
[A]
[B]
[C]
[D]
75
[D] point
Topic 11 - Geometry
Obj. 133 - Intersecting, parallel, and perpendicular lines
4. Which line segments below are intersecting?
[A]
[B]
[C]
[D]
5. Which line segments below appear to be parallel?
[A]
[B]
[C]
[D]
6. Which line segments below appear to be perpendicular?
[A]
[B]
[C]
[D]
76
Topic 11 - Geometry
7. What does the picture show?
[A] parallel lines
[B] intersecting, but not perpendicular, lines
[C] perpendicular lines
[D] none of these
Obj. 134 - Classify angles
8. Which of the following is a straight angle?
[A]
[B]
[C]
[D]
9. Classify the angle below.
[A] acute
[B] right
[C] obtuse
[D] straight
10. The measure of angle B is 42°. Classify angle B .
[A] straight
[B] right
[C] acute
77
[D] obtuse
Topic 11 - Geometry
Obj. 135 - Measure angles
11. Approximate the measure of the angle:
[A] 90°
[B] 180°
[C] 100°
[D] 200°
12. Which angle measures 109 ° ?
[A]
[B]
[C]
[D]
13. Use a protractor to find the approximate measure of the angle.
[A] about 45 °
[B] about 25 °
[C] about 180 °
78
[D] about 65 °
Topic 11 - Geometry
Obj. 136 - Identify polygons
14. Name the polygon.
[A] quadrilateral
[B] triangle
[C] pentagon
[D] hexagon
[C] octagon
[D] quadrilateral
15. Name a polygon with 3 sides.
[A] hexagon
[B] triangle
16. Which one of the statements below is false?
[A] An octagon has 8 sides.
[B] A decagon has 10 angles.
[C] A pentagon has 5 angles.
[D] A quadrilateral has 6 angles.
Obj. 137 - Classify quadrilaterals
17. Which figure is a trapezoid?
[A]
[B]
[C]
[D]
18. Which does not describe the figure correctly?
[A] quadrilateral
[B] trapezoid
[C] polygon
79
[D] parallelogram
Topic 11 - Geometry
19. Identify the true statement.
[A] Every parallelogram is a rectangle.
[B] Every rectangle is a rhombus.
[C] Every rhombus is a parallelogram.
[D] Every rhombus is a square.
Obj. 138 - Congruent and similar figures
20. Which best represents a pair of similar figures?
[A]
[B]
[C]
[D]
80
Topic 11 - Geometry
21. Which is a pair of congruent figures?
[A]
[B]
[C]
[D]
22. Which figures appear to be congruent?
1
2
4
[A] 2 and 5
3
5
[B] 1, 3, and 4
81
[C] 1, 2, and 4
[D] 1 and 4 only
Topic 11 - Geometry
Obj. 139 - Lines of symmetry
23. Which figure shows all lines of symmetry?
[A]
[B]
[C]
[D]
24. For the figure below, draw all the lines of symmetry.
How many lines of symmetry are there?
[A] 1
[B] 3
[C] 6
82
[D] none of these
Topic 11 - Geometry
25. Which figure shows a line of symmetry?
[A]
[B]
[C]
[D]
Obj. 140 - Flips, turns, and slides
26. The change in position from the solid figure to the dotted figure is best described
as a -y
10
–10
10 x
–10
[A] turn
[B] flip
83
[C] slide
Topic 11 - Geometry
27. Which of the following shows a flip?
[A]
[B]
[C]
[D] none of these
28. Which is an example of a flip of the figure?
[A]
[B]
[C]
[D] none of these
84
Topic 11 - Geometry
Obj. 141 - Solids
29. The ball has the shape of a—
[A] cylinder
[B] cone
[C] circle
[D] sphere
30. Which figure is not three-dimensional?
[A] cylinder
[B] rectangular prism
[C] pentagon
[D] cube
31. Name the geometric solid suggested by a globe.
[A] sphere
[B] cylinder
[C] pyramid
[D] rectangular prism
Obj. 142 - Count faces, edges, and vertices
32. Find the number of vertices for the figure below.
[A] 8 vertices
[B] 9 vertices
[C] 12 vertices
85
[D] 6 vertices
Topic 11 - Geometry
33. Find the number of edges for the figure below.
[A] 12 edges
[B] 6 edges
[C] 11 edges
[D] 10 edges
34. Find the number of faces for the figure below.
[A] 9 faces
[B] 8 faces
[C] 7 faces
[D] 6 faces
[C] center point
[D] chord
Obj. 143 - Parts of a circle
35. Identify the dotted line.
[A] circumference
[B] radius
86
Topic 11 - Geometry
36. Identify the dotted part of the circle.
[A] radius
[B] circumference
[C] arc
[D] chord
37. What is the name for the line segment that contains two points of a circle and its
center?
[A] arc
[B] diameter
[C] radius
[D] circumference
38. The diameter of a circle is 16 inches. What is its radius?
16 in.
[A] 32 in.
[B] 24 in.
[C] 4 in.
87
[D] 8 in.
Topic 11 - Geometry
Obj. 144 - Plot and name ordered pairs (first quadrant)
39. Plot the point M(7, 2).
[A]
[B]
y
10
9
8
7
6
5
4
3
2
1
M
1 2 3 4 5 6 7 8 9 10 x
0
[C]
y
10
9
8
7
6
5
4
3
2
1
0
M
1 2 3 4 5 6 7 8 9 10 x
[D] none of these
y
10
9
8
7
6
5
4
3
2
1
M
1 2 3 4 5 6 7 8 9 10 x
0
40. Identify the coordinates of point A.
y
10
8
6
A
4
2
0
2
[A] (2, 5)
4
6
8
10 x
[B] (5, 2)
[C] (3, 5)
88
[D] (2, 6)
Topic 11 - Geometry
41. Which point on the graph is at (3, 2)?
y
10
9
8
7
6
5
4
3
2
1
0
R
S
Q
P
1 2 3 4 5 6 7 8 9 10
x
89
[A] Q
[B] P
[C] S
[D] R
Topic 12 - Perimeter, Area, and Volume
Obj. 145 - Perimeter of rectangles
1. Find the perimeter of the rectangle.
5 mm
6 mm
[A] 22 mm
[B] 15 mm
[C] 30 mm
[D] 11 mm
2. Find the perimeter of a rectangle that is 8 meters by 12 meters.
[A] 20 meters
[B] 40 meters
[C] 48 meters
[D] 96 meters
3. Find the perimeter of a square if each side is 12 inches long.
[A] 144 inches
[B] 48 inches
[C] 24 inches
[D] 72 inches
[C] 56 yd
[D] 57 yd
Obj. 146 - Perimeter of polygons
4. Find the perimeter.
16 yd
15 yd
17 yd
9 yd
[A] 60 yd
[B] 67 yd
90
Topic 12 - Perimeter, Area, and Volume
5. Find the perimeter of the shape shown below.
1 ft
6 ft
8 ft
3 ft
2 ft
4 ft
[A] 17 ft
[B] 16 ft
[C] 24 ft
[D] 18 ft
6. Which of the following will not give the perimeter of the figure?
46
25
23
15
57
[A] 46 + 23 + 25 + 57
[B] (46 + 25) + (57 + 23)
[C] (46 + 57) + (25 + 23)
[D] 46 + 23 + 25 + 57 + 15
Obj. 147 - Word Problems: Perimeter
7. Ralph wants to put up a fence around his rectangular garden. The garden measures
4 feet by 26 feet. How much fencing material does he need?
[A] 134 feet
[B] 60 feet
[C] 30 feet
[D] 104 feet
8. Nancy wants to build a fence around her square garden. The garden measures 7 feet
on each side. How much fencing material does she need?
[A] 14 ft
[B] 28 ft
[C] 35 ft
[D] 21 ft
9. A farmer wants to build a fence to enclose an area 9 meters long by 6 meters wide.
How many meters of fencing does he need?
[A] 27 m
[B] 54 m
[C] 15 m
91
[D] 30 m
Topic 12 - Perimeter, Area, and Volume
Obj. 148 - Area by counting
10. Each box on the grid below is one square unit. Find the area of the figure drawn on
the grid. How many square units is it?
[A] 26 square units
[B] 28 square units
[C] 30 square units
[D] 27 square units
11. What is the area of the shaded region?
[A] 27 square units
[B] 9 square units
[C] 4 square units
[D] 3 square units
12. Find the area of the figure. The area of each square is 4 cm2 .
[A] 47.25 cm2
[B] 42 cm2
[C] 44 cm2
92
[D] 64 cm2
Topic 12 - Perimeter, Area, and Volume
13. What is the area of the figure drawn on the grid?
[A] 24 square units
[B] 28 square units
[C] 30 square units
[D] 13 square units
Obj. 149 - Area of rectangles
14. What is the area of this square?
7 feet
7 feet
[A] 31 square feet
[B] 49 square feet
[C] 98 square feet
[D] 14 square feet
15. What is the area of this rectangle?
3m
14 m
[A] 26 square meters
[B] 42 square meters
[C] 17 square meters
[D] 37 square meters
16. Find the area of a rectangle 5 meters by 16 meters.
[A] 80 m2
[B] 42 m2
[C] 80 m
93
[D] 42 m
Topic 12 - Perimeter, Area, and Volume
17. Find the area of a rectangle that measures 11 yards by 26 yards.
[A] 572 yd 2
[B] 74 yd 2
[C] 286 yd 2
[D] 37 yd 2
18. Find the area of a rectangle 15 meters by 2 meters.
[A] 15 m2
[B] 34 m2
[C] 17 m2
[D] 30 m2
[C] 2,975 cm 2
[D] 3,050 cm 2
Obj. 150 - Area of parallelograms
61 cm
19. Find the area.
50 cm
[A] 3,294 cm 2
[B] 3,538 cm 2
20. Find the area:
11 mm
9 mm
10.1 mm
[A] 102.01 mm 2
[B] 90.9 mm 2
[C] 40.4 mm 2
[D] 38.2 mm 2
21. Find the area of the parallelogram.
4.8 cm
1.7 cm
[A] 8.16 cm 2
[B] 24.48 cm 2
94
[C] 8.67 cm 2
[D] 4.08 cm 2
Topic 12 - Perimeter, Area, and Volume
Obj. 151 - Word Problems: Area
22. Patricia wants to carpet the rectangular floor of the den in her house. If her floor
measures 18 feet by 8 feet, how many square feet of carpeting will she have to buy in
order to cover the floor wall-to-wall?
[A] 288 ft 2
[B] 144 ft 2
[C] 164 ft 2
[D] 26 ft 2
23. As part of a community improvement project, Raul is painting a mural on a
5-by 14-foot wall. How many square feet will he have to paint?
[A] 80 square feet
[B] 70 square feet
[C] 19 square feet
[D] 38 square feet
24. Aleta is making a rain cover for a square sandbox with sides 6 feet long. How much
area does she need to cover?
[A] 36 ft 2
[C] 24 ft 2
[B] 24 ft
[D] 36 ft
Obj. 152 - Volume of rectangular prisms and cubes
25. Find the volume:
9 mm
4 mm
10 mm
[A] 340 cubic millimeters
[B] 92 cubic millimeters
[C] 360 cubic millimeters
[D] 332 cubic millimeters
26. Find the volume of a rectangular solid that is 6 inches long, 5 inches wide, and
4 inches high.
[A] 120 in 2
[B] 148 in 3
[C] 120 in 3
95
[D] 148 in 2
Topic 12 - Perimeter, Area, and Volume
27. Find the volume of the rectangular prism.
1m
3m
10 m
[A] 30 m3
[B] 14 m3
[C] 15 m3
[D] 86 m3
Obj. 153 - Word Problems: Volume of rectangular solids
28. An empty aquarium is 4 feet long, 2 feet wide, and 4 feet high. How many cubic feet
of water could this aquarium hold?
[A] 10 ft 3
[B] 17 ft 3
[C] 32 ft 3
[D] 36 ft 3
29. A rectangular fish tank has a base that is 10 inches by 10 inches. How much water
will it take to fill the tank to a depth of 5 inches?
[A] 25 in 3
[B] 500 in 3
[C] 895 in 3
[D] 400 in 3
30. A rectangular fish tank has a base that is 6 inches by 7 inches. How much water will
it take to fill the tank to a depth of 6 inches?
[A] 346 in 3
[B] 240 in 3
[C] 19 in 3
[D] 252 in 3
31. A recycling bin is provided for each household. The bin measures 19 inches by
39 inches by 17 inches. Find the volume of the recycling bin.
[A] 12,611 in 3
[B] 12,597 in 3
96
[C] 75 in 3
[D] 61 in 3
Topic 12 - Perimeter, Area, and Volume
Obj. 154 - Identify nets (patterns) of solids
32. Mr. Carter’s class made solid shapes from patterns. They cut out each of the
patterns. Then they folded them on the lines and taped them to form solids. Dawn
made a rectangular solid that was not a cube. Find the pattern that she used.
[A]
[B]
[C]
[D]
33. Which figure below is a 2-dimensional pattern for a rectangular solid?
[A]
[B]
[C]
[D]
97
Topic 13 - Graphs, Probability, and Statistics
Obj. 155 - Pictographs
1. The table shows the number of compact disc players sold by various electronics
stores. Display the data on a pictograph. Use a symbol to represent 50 units.
Sales of Compact Disc Players
Harry’s TV & Stereo
Electronic City
Audio Odyssey
The Stereo Shop
300 players
400 players
350 players
200 players
Discount Stereoland
100 players
98
Topic 13 - Graphs, Probability, and Statistics
[A]
Sales of Compact Disc Players
Harry’s TV & Stereo
⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Electronic City
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Audio Odyssey
The Stereo Shop
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
⊗ ⊗ ⊗ ⊗
Discount Stereoland
⊗ ⊗
⊗ represents 50 compact disc players.
[B]
Sales of Compact Disc Players
Harry’s TV & Stereo
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Electronic City
⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Audio Odyssey
The Stereo Shop
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
⊗ ⊗
Discount Stereoland
⊗ ⊗ ⊗ ⊗
⊗ represents 50 compact disc players.
[C]
Sales of Compact Disc Players
Harry’s TV & Stereo
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Electronic City
⊗ ⊗
Audio Odyssey
The Stereo Shop
⊗ ⊗ ⊗ ⊗ ⊗ ⊗ ⊗
⊗ ⊗ ⊗ ⊗ ⊗ ⊗
Discount Stereoland
⊗ ⊗ ⊗ ⊗
⊗ represents 50 compact disc players.
[D] none of these
99
Topic 13 - Graphs, Probability, and Statistics
2. A survey showed the number of ice cream cones sold by different ice cream carts.
What is the difference in the number of cones sold between Cart 2 and Cart 5?
Cart 1
Cart 2
Cart 3
Cart 4
Cart 5
= 20 cones
[A] 5 cones
[B]
1
cone
2
[C] 0 cone
[D] 10 cones
3. The table shows the number of sandwiches sold at school during one week. Which
pictograph matches the table?
Sandwiches Sales
Soyburger
Ginger Chicken
Roasted Veggie
Tuna Salad
120 sandwiches
180 sandwiches
200 sandwiches
240 sandwiches
Turkey Meatball 300 sandwiches
100
Topic 13 - Graphs, Probability, and Statistics
[A]
Sandwich Sales
Soyburger
Ginger Chicken
Roasted Veggie
Tuna Salad
[] [] []
[] [] [] [] []
[] [] [] [] [
[] [] [] [] [] [] [] [
Turkey Meatball
[] [] [] [] [] []
[] = 40 sandwiches sold
[B]
Sandwich Sales
Soyburger
Ginger Chicken
Roasted Veggie
Tuna Salad
[] [] []
[] [] [] [] [
[] [] [] [] []
[] [] [] [] [] []
Turkey Meatball
[] [] [] [] [] [] [] [
[] = 40 sandwiches sold
[C]
Ticket Sales
Soyburger
Ginger Chicken
Roasted Veggie
Tuna Salad
[] [] [] [] [
[] [] [] [] [] [] [] [
[] [] [] [] []
[] [] []
Turkey Meatball
[] [] [] [] [] []
[] = 40 sandwiches sold
101
[D] none of these
Topic 13 - Graphs, Probability, and Statistics
Obj. 156 - Bar graphs
4.
January
Rockets
Tigers
Team
Stars
Eagles
2
4
6
8
10
Number of Games Won
Which team won more games in January, the Rockets or the Tigers? How many
more?
[A] the Rockets, 7 games
[B] the Tigers, 6 games
[C] the Rockets, 4 games
[D] the Tigers, 3 games
5. Find the difference in rainfall for 1993 and 1994.
Rainfall for Kent County
40
I
30
n
c
20
h
e
10
s
1990
[A] 20 inches
1991
1992
1993
year
1994
1995
[B] 15 inches
[C] 10 inches
102
[D] 5 inches
Topic 13 - Graphs, Probability, and Statistics
6. As a teenager, Darcy rode in a bike-a-thon each year to raise money for more bike
lanes in her town. The graph below shows the number of miles she rode each year
for 1985-1990. Find the number of miles she rode in 1988.
Mileage of Darcy’s ride
40
30
M
i
20
l
e
10
s
1985
1986
[A] 10 miles
1987
1988
year
1989
1990
[B] 35 miles
[C] 15 miles
[D] 25 miles
Obj. 157 - Line graphs
7. How many days did Alphonso baby-sit in January?
Days Alphonso Baby-sat
24
22
20
18
16
14
Days 12
10
8
6
4
2
0
[A] 12 days
Jan
Feb
Mar
Month
Apr
[B] 7 days
May
[C] 9 days
103
[D] 8 days
Topic 13 - Graphs, Probability, and Statistics
8. This table shows the number of animals adopted from the Omberton animal shelter.
Which line graph displays the data in the table?
Month Animals Adopted from the Shelter
Jan
10
Feb
13
Mar
11
Apr
May
29
24
[A]
[B]
Animals Adopted
Animals Adopted
30
30
25
25
20
Animals
20
Animals
15
15
10
10
5
5
0
0
Jan
Feb Mar Apr May
Jan
Month
[C]
Month
[D] none of these
Animals Adopted
30
25
20
Animals
15
10
5
0
Jan
Feb Mar Apr May
Feb Mar Apr May
Month
104
Topic 13 - Graphs, Probability, and Statistics
9. The graph below shows sales (in millions of dollars) for XYZ Corporation.
50
Sales
(in millions
of dollars)
40
30
20
10
1990 1991 1992 1993 1994
How much greater were sales in 1994 than in 1992?
[A] $300,000
[B] $30,000,000
[C] $3,000,000
[D] $30
Obj. 158 - Double bar graphs
10. The graph shows the results of a survey of favorite colors at Fort Vale Middle
School.
Boys Girls
Favorite Color
Number
of
Students
50
45
40
35
30
25
20
15
10
5
Purple
Green
Red
Blue
What was the least favorite color for the boys?
[A] green
[B] purple
[C] blue
105
[D] red
Topic 13 - Graphs, Probability, and Statistics
11. The graph shows the number of books that were read by both Ms. Snow’s class and
Mr. Hank’s class.
Snow Hank
Books Read
Number
of
Books
50
45
40
35
30
25
20
15
10
5
Week 1
Week 2
Week 3
Week 4
During which week were the greatest number of books read by Mr. Hank’s class?
[A] Week 4
[B] Week 1
[C] Week 3
[D] Week 2
12. The juniors and seniors at Appleton High School made tin can ice cream for an endof-year party. The graph shows the number of students from each class who made
each type of ice cream.
Participation in Ice Cream Making by Class
number
of
students
Juniors
Seniors
50
45
40
35
30
25
20
15
10
5
Vanilla
Chocolate Chip
Strawberry
Banana
How many seniors made chocolate chip ice cream?
[A] 20
[B] 10
[C] 30
106
[D] 25
Topic 13 - Graphs, Probability, and Statistics
Obj. 159 - Double line graphs
13. At what time (in seconds) was Car A going about 5 mph faster than Car B?
Car A
60
Car B
50
40
SPEED
(mph)
30
20
10
0
2
[A] 6 seconds
4
6
8 10 12
TIME (in seconds)
[B] 4 seconds
14
[C] 2 seconds
[D] none of these
14. The double-line graph compares rainfall, in centimeters, in Sydney and Canberra in
March 1993. Determine the difference in rainfall on March 6.
March Rain
2.5
2.0
Rainfall
(cm)
Sydney
1.5
Canberra
1.0
0.5
1
2
3
4
5
6
7
8
9 10
Date
[A] 2 cm
[B] 0.5 cm
[C] 1.5 cm
107
[D] 3 cm
Topic 13 - Graphs, Probability, and Statistics
15. The double line graph below compares high temperatures in Yuma and Miami in
April. Of the days listed, which day was Yuma’s temperature less than Miami’s?
T
e
m
p
°F
92
Miami
90
Yuma
88
86
12
14 16 18
April Date
[A] April 12
20
[B] April 18
[C] April 11
[D] April 17
Obj. 160 - Circle graphs
16. The circle graph below shows the results of a favorite activity survey taken at Fort
Harbor Middle School. Use the graph to find out which activity is the most popular.
Favorite Activities
Fort Harbor Middle School
skating
23%
golf
32%
[A] skating
hiking
23%
bowling
22%
[B] golf
[C] hiking
108
[D] bowling
Topic 13 - Graphs, Probability, and Statistics
17. The circle graph below shows the main sources of water pollution. According to the
circle graph, which is the main source of water pollution?
Sources of Water Pollution
industry
25%
sewage 30%
45%
agriculture
[A] industry
[B] agriculture
[C] sewage
[D] cannot be determined
18. At her school, Erin took a survey of the type of music that students like.
Country Western
Hard Rock
Alternative
Rap
Other
Based on the survey, which two categories of music would be best to play during
lunch?
[A] Hard Rock and Alternative
[B] Hard Rock and Country Western
[C] Country Western and Rap
[D] Country Western and Alternative
109
Topic 13 - Graphs, Probability, and Statistics
Obj. 161 - Stem-and-leaf plots
19. The stem-and-leaf plot shows the number of minutes that students spent getting
ready for school. How many students spent more than 48 minutes getting ready for
school?
Stem
Leaves
3
03467
4
0256899
5
013345
[A] 9
[B] 8
[C] 7
[D] 10
20. What data are represented by the stem-and-leaf plot below?
1 2 3 6
2
3 3 5 6
4 0 3 5
[A] 21, 31, 61, 33, 53, 63, 4, 34, 54
[B] 2, 3, 6, 3, 5, 6, 0, 3, 0, 5
[C] 12, 13, 16, 20, 33, 35, 40, 45
[D] 12, 13, 16, 33, 35, 36, 40, 43, 45
110
Topic 13 - Graphs, Probability, and Statistics
21. The following stem-and-leaf plot shows the daily temperature for 20 weekdays in
June last year.
Temperatures
for June
Stem
Leaf
5
7
6
0, 1, 1, 4, 5, 5, 7, 9
7
2, 2, 3, 4, 6, 6, 9
8
1, 1, 2, 5
Which frequency distribution shows the correct number of tallies to match the
stem-and-leaf plot?
[A]
[C]
[B]
50-59
50-59
60-69
60-69
70-79
70-79
80-89
80-89
[D]
50-59
50-59
60-69
60-69
70-79
70-79
80-89
80-89
Obj. 162 - Time schedules
22.
Open
Liberty Bell Pavilion
Daily
9:00 a.m.
M – F
9:30 a.m.
Philadelphia Art Museum
Sa – Su 10:30 a.m.
M – Sa 9:00 a.m.
Betsy Ross House
Sun
10:00 a.m.
Independence Hall
Daily
9:30 a.m.
Close
5:30 p.m.
5:15 p. m.
6:15 p. m.
5:00 p.m.
5:00 p.m.
5:30 p.m.
How many more hours is the Betsy Ross House open on Monday than Sunday?
[A] thirty minutes
[B] two hours
[C] one hour and thirty minutes
[D] one hour
111
Topic 13 - Graphs, Probability, and Statistics
23. The Savoy Alps High School Track team is holding a coaching clinic for elementary
school students. During what time period could a student participate in the Discus
Throw clinic?
Clinic Times
Track
Field
Begin (a.m.) End (p.m.)
100 - meter Run Discus Throw
10:00
3:45
400 - meter Run
Shot Put
10:00
4:15
1,500 - meter Run
High Jump
10:00
4:30
Hurdles
Javelin
10:00
4:45
[A] from ten until quarter to five
[B] from ten until quarter to four
[C] from ten until quarter past four
[D] from ten until half past four
24. A college radio station charges different rates for advertising, depending on time of
day. Use the table below to answer the following question.
Time of Day
Cost of first minute Cost for each additional minute
7:00 a.m. to 4:00 p.m.
54
41
4:00 p.m. to 10:00 p.m.
37
24
10:00 p. m. to 6:00 a.m.
25
13
How much would it cost to buy 30 minutes of advertising beginning at 3:00 a.m.?
[A] $733
[B] $1,243
[C] $424
[D] $402
[C] 9
[D] 8
Obj. 163 - Means of data sets
25. What is the mean of the following data?
11, 8, 7, 10
[A] 10
[B] 11
26. What is the mean of the following data?
9, 11, 12, 9, 7, 6
27. Find the mean of 91, 65, 52, 70, and 52.
112
[A] 8
[A] 66
[B] 7
[B] 52
[C] 9
[C] 72
[D] 6
[D] 70
Topic 13 - Graphs, Probability, and Statistics
28. Bob’s scores on his first 4 math tests were 72, 84, 72, and 88. What was the mean of
these scores?
[A] 78
[B] 79
[C] 72
[D] 81
[C] 41.2
[D] 37
[C] 22.7
[D] 20.1
Obj. 164 - Medians of data sets
29. Find the median of 62, 37, 29, 49, and 29.
[A] 42.1
[B] 29
30. Find the median of the set of numbers.
17, 30, 24, 12, 25, 6, 23, 13, 31
[A] 23
[B] 25
31. The Friday attendance at a local theater is shown for the last 7 weeks. What is the
median Friday attendance for the 7-week period?
THEATER ATTENDANCE
Week Attendance
1
90
2
155
3
86
4
118
5
138
6
126
7
155
[A] 155
[B] 126
[C] 124
[D] 123
Obj. 165 - Modes of data sets
32. Name the mode or modes in the following sample.
9, 10, 1, 21, 11, 9, 7, 3, 28, 22, 9
[A] 9
[B] 11.8
[C] 28, 1
113
[D] 15
Topic 13 - Graphs, Probability, and Statistics
33. Amber raises geese. She wrote the number of goslings that each goose hatched in the
table below.
HATCHING RECORD
Goose
Number of Goslings
Bossie
8
Marmalade
9
Honker
11
Cinderella
10
Poosie
12
Glinda
11
Popcorn
11
What is the mode of these numbers?
[A] 3
[B] 12
[C] 11
[D] 8
34. Find the mode or modes of the following list of numbers.
22, 26, 28, 27, 24, 23
[A] 24
[B] 24, 26
[C] 28, 22
[D] no mode
Obj. 166 - Ranges of data sets
35. Find the range of the set of numbers.
6, 8, 20, 9, 15
[A] 9
[B] 14
[C] 13
[D] 26
36. The average number of days of thunderstorms at 16 Canadian airports are given.
7 15 22 8 24 25 27 28
17 16 2 21 5 27 4 27
Find the range.
[A] range: 26
[B] range: 22
[C] range: 20
114
[D] range: 28
Topic 13 - Graphs, Probability, and Statistics
37. The Girls’ Soccer Club sold art calendars in order to raise money. Below is a list of
the number of calendars each member sold during the first month of the sale. Find
the range of the data.
4 10 22 4 28 25 27 24
16 16 3 20 4 26 2 27
[A] range: 22
[B] range: 23
[C] range: 26
[D] range: 28
Obj. 167 - Find possible outcomes
38.
A sewing box contains 5 buttons. They are the same size and shape but have
different patterns. If 3 buttons are selected from the box at one time, which is a
possible outcome?
[A]
[B]
[C]
[D]
115
Topic 13 - Graphs, Probability, and Statistics
39. Meg wants to buy two of the toys shown below.
How many different combinations of toys can she choose?
[A] 3
[B] 7
[C] 21
[D] 14
40. Oscar has these caps and tank tops.
How many different outfits can he wear that combine one cap and one tank top?
[A] 4
[B] 9
[C] 6
116
[D] 3
Topic 13 - Graphs, Probability, and Statistics
Obj. 168 - Probability of single events
41. If you spin the spinner, what is the probability of the pointer landing on Y?
R
R
G
R
G
R
[A] 0
B
Y
[B]
1
2
[C] 1
[D]
1
8
42. If a randomly thrown dart hits the board below, what is the probability it will hit the
shaded region?
[A]
1
4
[B] 0.375
[C]
117
3
4
[D] 0.625
Topic 13 - Graphs, Probability, and Statistics
43. It is Elena’s turn to spin in a game she is playing with her friends.
Go Back
2 Spaces
Move
Ahead
3 Spaces
Go Back
1 Space
Move Ahead
1 Space
Go Back
3 Spaces
Move
Ahead
1 Space
Move Ahead
2 Spaces
Lose a
Turn
What is the probability that Elena will have to move back on this spin?
[A]
1
3
[B]
1
8
[C]
5
8
[D] none of these
44. If a randomly thrown dart hits the board below, what is the probability it will hit the
shaded region?
[A]
3
4
[B] 3
[C] 3
118
[D] none of these
Topic 14 - Fractions, Decimals, Percents, and Ratios
Obj. 169 - Fractions to decimals
1. Write
2
as a decimal.
10
[A] 0.2
[B] 12.0
[C] 0.8
[D] 0.02
2. Write
74
as a decimal.
100
[A] 74.0
[B] 7.4
[C] 0.74
[D] 0.074
3. Write
29
as a decimal.
1,000
[A] 0.029
4. Write
[B] 0.0029
8
as a decimal.
25
[C] 2.9
[A] 0.33
[D] 0.2900
[B] 0.42
[C] 0.032
[D] 0.32
Obj. 170 - Decimals to fractions
5. Write 0.7 as a reduced fraction.
[A]
7
100
[B]
7
10
[C]
7
1
[D]
6. Write 0.13 as a reduced fraction.
[A]
13
10
[B]
1
100
[C] 13
7. What is 0.6 as a fraction?
[A]
1
6
[B]
[D]
3
5
[C]
13
100
6
1
[D]
3
50
Obj. 171 - Mixed numbers to decimals
8. Write 7
3
as a decimal.
10
9. Write 3
8
as a decimal.
1,000
[A] 0.308
[A] 7.3
[B] 3.008
[B] 7.03
[C] 3.00008
119
[C] 70.03
[D] 3
[D] 3.0008
1
7
Topic 14 - Fractions, Decimals, Percents, and Ratios
10. Write 9
27
as a decimal.
1,000
[A] 9.0027
[B] .927
[C] 9.027
[D] 927.0
[C] 90%
[D] 9%
Obj. 172 - Find percents with models
11. What percent of the figure is shaded?
[A] 10%
[B] 50%
12. Which diagram shows about 80% shaded?
[A]
[B]
[C]
[D]
13. Write a percent to estimate the amount shaded.
[A] about 50%
[B] about 75%
120
[C] about 7.5%
[D] about 25%
Topic 14 - Fractions, Decimals, Percents, and Ratios
14. What percent of the circle is shaded?
[A] 65%
[B] 0.65%
[C] 75%
[D] 0.75%
Obj. 173 - Percent of a number
4
3
15. What is 40% of 30?
[A] 7
[B]
16. What is 72% of 25?
[A] 32.2
[B] 18
17. What is 50% of 276?
[A] 91
[C] 12
[D] 12%
25
72
[D] 18%
[C]
[B] 232
[C] 44
[D] 138
Obj. 174 - Word Problems: Percent of a number
18. Abner’s softball team won 25% of the 40 games they played. How many games did
they win?
[A] 8 games
[B] 10 games
[C] 30 games
[D] 12 games
19. Katie sold 640 chocolate bars; 75% had coconut. How many chocolate bars had
coconut?
[A] 480
[B] 517
[C] 160
[D] 123
20. Angel wanted to buy a new fishing rod and reel set. It cost $20. Aunt Elizabeth said
that if Angel paid 70% of the price, she would pay the rest. How much did Angel
have to pay?
[A] $14
[B] $13
[C] $6
121
[D] $15
Topic 14 - Fractions, Decimals, Percents, and Ratios
Obj. 175 - Convert decimals and percents
21. Write 57% as a decimal.
[A] 0.0057
22. Write 0.66 as a percent.
[A]
[B] 5.7
66
%
100
[C] 0.057
[B] 6.6%
[D] 0.57
[C] 660%
[D] 66%
23. Write 0.09 as a percent.
[A] 0.09%
[B] 0.0009%
[C] 9%
[D]
9
%
100
Obj. 176 - Fractions to percents
24. Write
25.
75
as a percent.
100
[A] 74%
[B] 175%
[C] 750%
[D] 75%
10
is the same thing as what percent?
9
[A] –11.1111%
26. Express
[B] 11.1111%
3
as a percent.
10
[C] 111.111%
[A] 30%
[B] 32%
[D] 101.111%
[C] 26%
[D] 28%
Obj. 177 - Identify ratios
27. What is the ratio of stars to dollar signs?
* $ $ $ * $ $ **** $ ** $ *** $
[A] 19:8
[B] 11:8
[C] 8:19
[D] 11:19
28. A geometry class consists of 11 males and 10 females. Find the ratio of males to
females.
[A]
11
10
[B]
11
21
[C]
122
10
11
[D]
10
21
Topic 14 - Fractions, Decimals, Percents, and Ratios
29. At a local shelter there were 10 cats and 6 dogs. Write the ratio of dogs to cats.
[A]
6
16
[B]
4
10
[C]
6
10
[D]
10
6
[D]
14
3
Obj. 178 - Write ratios as fractions
30. Express the ratio 15 to 70 as a fraction in lowest terms.
[A]
15
70
[B]
3
7
[C]
3
14
31. The ratio of cars to people in Australia is 425 to 1000. Write this ratio as a fraction
in simplest form.
[A]
17
20
[B]
17
80
[C]
17
40
[D]
425
1,000
32. The male to female ratio in India is 52 to 48. Write this ratio as a fraction in reduced
form.
[A]
13
6
[B]
52
48
[C]
13
24
[D]
13
12
Obj. 179 - Write ratios, all forms
33. Write the ratio 4:10 in two other forms.
[A] 4 to 10,
10
4
[B] 10 to 4,
10
4
[C] 10 to 4,
4
10
[D] 4 to 10,
4
10
34. Write the ratio 4 to 10 in two other forms.
[A] 4:10,
10
4
35. Write the ratio
[B] 4:10,
4
10
[C] 10:4,
4
10
[D] 10:4,
10
4
4
in two other forms.
28
[A] 4 to 28, 4:28
[B] 28 to 4, 4:28
123
[C] 28 to 4, 28:4
[D] 4 to 28, 28:4
Topic 14 - Fractions, Decimals, Percents, and Ratios
Obj. 180 - Equivalent ratios, same form
36. Which group contains ratios that are all equivalent to 4 to 20?
[A] 1 to 5, 2 to 10, 12 to 60
[B] 5 to 1, 10 to 2, 60 to 12
[C] 1 to 5, 2 to 10, 60 to 12
[D] 5 to 1, 2 to 10, 12 to 60
37. Which group contains ratios that are all equivalent to 4:16?
[A] 4:1, 8:2, 12:3
[B] 1:4, 2:5, 3:6
124
[C] 1:4, 2:12, 3:16
[D] 1:4, 2:8, 3:12
Topic 15 - Number Patterns
Obj. 181 - Missing terms in number patterns
1. What expression would come next in this pattern? 1♣, 3♣, 9♣, 27♣, ...
[A] 40♣
[B] 81♣
[C] 36♣
[D] 83♣
2. Look at the number pattern.
4
6
8
12
Find the number that goes in the empty box.
[A] 15
[B] 9
[C] 10
[D] 11
3. What number should come next in the number pattern? 0, 3, 6, 9, . . .
[A] 10
[B] 12
[C] 27
[D] 11
Obj. 182 - Terms described in number patterns
4. Zak is making up a banjo tune. He first played two E notes, then one A note, then
one D note, and finally, one G note. If he repeats this pattern of notes, what note will
the 13rd note be?
[A] D
[B] A
[C] E
[D] G
5. Sandy draws a sequence of circles. She starts with a row of 4 circles. The second row
has 5 more circles than the first row, the third row has 5 more circles than the second,
and so on. Find out how many circles she has in the tenth row.
[A] 48
[B] 49
[C] 44
[D] 54
6. Geoff planted daffodils in his garden. Daffodils have bulbs which divide and
reproduce under ground. The first year, Geoff’s garden produced 14 bulbs, the second
year it produced 22 bulbs, and the third year it produced 30 bulbs. If this pattern were
to continue, how many bulbs would Geoff expect in the eighth year?
[A] 66
[B] 74
[C] 70
125
[D] 62
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