Math Management Software
Grade 4
Second Edition
Texas Standards - Aligned
Library Guide
Renaissance Learning
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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.
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 - Number Sense and Operations.........................................................1
Obj. 1 - Read a 6-digit whole number .....................................................1
Obj. 2 - Determine the word form of a 6-digit whole number ...............1
Obj. 3 - Determine the value of a digit in a 6-digit whole
number ....................................................................................................1
Obj. 4 - Determine which digit is in a specified place
in a 6-digit whole number .......................................................................2
Obj. 5 - Determine the whole number represented in expanded
form written in powers of ten..................................................................2
Obj. 6 - Represent a 6-digit whole number in expanded form
using powers of ten..................................................................................2
Obj. 7 - Convert between proper expanded form and improper
expanded form up to a 5-digit whole number ........................................3
Obj. 8 - Convert between standard form and improper expanded
form up to a 5-digit whole number .........................................................3
Obj. 9 - Add up to 4-digit whole numbers in expanded form.................4
Obj. 10 - Add a 5-digit or greater whole number and a 3-digit
or greater whole number .........................................................................4
Obj. 11 - Add three multi-digit whole numbers ......................................4
Obj. 12 - Subtract a smaller number from a 3- or 4-digit
whole number in expanded form ............................................................5
Obj. 13 - Subtract a 3-digit or greater whole number from
a 5-digit or greater whole number ..........................................................5
Obj. 14 - WP: Add a 5-digit or greater whole number and
a 3-digit or greater whole number ..........................................................6
Obj. 15 - WP: Add three multi-digit whole numbers ..............................6
Obj. 16 - WP: Subtract a 3-digit or greater whole number
from a 5-digit or greater whole number..................................................7
Obj. 17 - Round a 4- to 6-digit whole number to a specified
place .........................................................................................................7
Obj. 18 - WP: Estimate a sum or difference of two 3- or
4-digit whole numbers using any method ..............................................8
Obj. 19 - WP: Estimate the sum or difference of two whole
numbers, all values less than 1,000,000 ................................................8
Obj. 20 - WP: Solve a 2-step problem involving addition
and/or subtraction of multi-digit whole numbers..................................9
Obj. 21 - Use a multiplication sentence to represent an
area or an array model ............................................................................9
Obj. 22 - Know basic multiplication facts to 12 x 12 ...............................10
Obj. 23 - Multiply a number by 10 or 100...............................................10
Obj. 24 - Multiply a 1- or 2-digit whole number by a multiple
of 10, 100, or 1,000..................................................................................10
Obj. 25 - Apply the distributive property to the multiplication
of a 2-digit number by a 1- or 2-digit number ........................................10
Obj. 26 - Apply the distributive property to multiply a
multi-digit number by a 1-digit number .................................................11
Obj. 27 - Multiply a 3- or 4-digit whole number by a 1-digit
whole number..........................................................................................11
Obj. 28 - Multiply a 2-digit whole number by a 2-digit
whole number..........................................................................................11
Obj. 29 - WP: Multiply using basic facts to 12 x 12.................................12
Obj. 30 - WP: Multiply a multi-digit whole number by a
1-digit whole number ..............................................................................12
Obj. 31 - WP: Multiply a 2-digit whole number by a 2-digit
whole number..........................................................................................12
Obj. 32 - Estimate a product of whole numbers by rounding ................13
Obj. 33 - Estimate a product of whole numbers using any
method.....................................................................................................13
Obj. 34 - WP: Estimate a product of two whole numbers using
any method ..............................................................................................13
Obj. 35 - Complete a multiplication and division fact family.................13
Obj. 36 - Divide a multi-digit whole number by 10 or 100
with no remainder ...................................................................................14
Obj. 37 - Divide a 2-digit whole number by a 1-digit whole
number with no remainder in the quotient ............................................14
Obj. 38 - Divide a 3-digit whole number by a 1-digit whole
number with no remainder in the quotient ............................................14
Obj. 39 - Divide a 2-digit whole number by a 1-digit whole
number with a remainder in the quotient ..............................................14
Obj. 40 - Divide a 3-digit whole number by a 1-digit whole
number with a remainder in the quotient ..............................................15
Obj. 41 - WP: Divide a 2-digit whole number by a 1-digit
whole number with no remainder in the quotient..................................15
Obj. 42 - WP: Divide a 3-digit whole number by a 1-digit
whole number with no remainder in the quotient..................................15
Obj. 43 - WP: Divide a 2-digit whole number by a 1-digit
whole number with a remainder in the quotient ....................................15
Obj. 44 - WP: Divide a 3-digit whole number by a 1-digit
whole number with a remainder in the quotient ....................................16
Obj. 45 - WP: Solve a 2-step whole number problem using
more than 1 operation .............................................................................16
Obj. 46 - Relate a fraction model to an equivalent fraction ...................17
Obj. 47 - Determine a set of equivalent fractions ...................................17
Obj. 48 - Simplify a fraction ....................................................................18
Obj. 49 - Compare fractions on a number line .......................................18
Obj. 50 - Order fractions on a number line ............................................19
Obj. 51 - Add fractions with like denominators no greater
than 10 using models...............................................................................19
Obj. 52 - Add fractions with like denominators no greater
than 10 .....................................................................................................20
Obj. 53 - Add fractions with like denominators no greater
than 10 and simplify the sum ..................................................................20
Obj. 54 - WP: Add fractions with like denominators no greater
than 10 and simplify the sum ..................................................................21
Obj. 55 - Subtract fractions with like denominators no
greater than 10 using models ..................................................................21
Obj. 56 - Subtract fractions with like denominators no
greater than 10.........................................................................................22
Obj. 57 - Subtract fractions with like denominators no
greater than 10 and simplify the difference ............................................22
Obj. 58 - WP: Subtract fractions with like denominators
no greater than 10 and simplify the difference .......................................22
Obj. 59 - Identify a mixed number represented by a model...................23
Obj. 60 - Identify a mixed number represented by a point
on a number line......................................................................................24
Obj. 61 - Locate a mixed number on a number line................................24
Obj. 62 - WP: Use a mixed number to represent an amount
in a sharing situation...............................................................................25
Obj. 63 - Identify an improper fraction represented by
a model of a mixed number.....................................................................26
Obj. 64 - Identify an improper fraction represented by
a point on a number line .........................................................................26
Obj. 65 - Locate an improper fraction on a number line ........................27
Obj. 66 - Read a decimal number through the hundredths
place .........................................................................................................28
Obj. 67 - Determine the word form of a decimal number through
the hundredths place...............................................................................28
Obj. 68 - Determine the decimal number from a pictorial
model of tenths or hundredths................................................................29
Obj. 69 - Identify a pictorial model of tenths or hundredths
of a decimal number................................................................................30
Obj. 70 - Identify a decimal number to tenths represented
by a point on a number line ....................................................................31
Obj. 71 - Locate a decimal number to tenths on a number
line ...........................................................................................................31
Obj. 72 - Determine the decimal number equivalent to a
fraction with a denominator of 10 or 100 ...............................................32
Obj. 73 - Determine a fraction equivalent to a decimal,
using a denominator of 10 or 100 ...........................................................32
Obj. 74 - Determine the decimal number equivalent to a
fraction model .........................................................................................33
Obj. 75 - Compare decimal numbers through the hundredths
place .........................................................................................................33
Obj. 76 - Order decimal numbers through the hundredths
place .........................................................................................................34
Obj. 77 - Use a model to add or subtract decimals .................................34
Obj. 78 - Determine decimal number pairs that total 1 or 10.................34
Obj. 79 - Add two decimal numbers through hundredths......................35
Obj. 80 - Subtract two decimal numbers through hundredths ..............35
Obj. 81 - WP: Add or subtract money amounts greater than $1.............35
Obj. 82 - WP: Solve a money problem involving 2 steps........................36
Obj. 83 - WP: Add or subtract decimal numbers of the same
place through hundredths .......................................................................36
Obj. 84 - Round a decimal number to a specified place through
hundredths ..............................................................................................36
Obj. 85 - Estimate a decimal number sum or difference by
rounding to whole numbers ....................................................................37
Obj. 86 - WP: Multiply a money amount by a 1-digit number ...............37
Obj. 87 - WP: Divide a money amount by a 1-digit number...................37
Obj. 88 - Evaluate a numeric expression involving two operations.......37
Topic 2 - Algebra..............................................................................................38
Obj. 89 - Solve a 1-step addition or subtraction equation
using a model...........................................................................................38
Obj. 90 - Identify a missing term in a multiplication or
a division number pattern.......................................................................38
Obj. 91 - Generate a table of paired numbers based on a
rule...........................................................................................................38
Obj. 92 - Determine a rule that relates two variables .............................39
Obj. 93 - Extend a number pattern in a table of related
pairs .........................................................................................................40
Topic 3 - Geometry and Measurement............................................................41
Obj. 94 - Measure length to the nearest eighth of an inch .....................41
Obj. 95 - Measure length to the nearest millimeter................................41
Obj. 96 - Measure weight in customary units.........................................42
Obj. 97 - Measure weight in metric units................................................44
Obj. 98 - Convert between inches, feet, and yards .................................45
Obj. 99 - Convert between customary units of capacity using
whole numbers ........................................................................................45
Obj. 100 - Convert between customary units of weight using
whole numbers ........................................................................................45
Obj. 101 - WP: Add or subtract compound units of length
requiring customary unit conversion using whole numbers..................46
Obj. 102 - WP: Calculate elapsed time within an hour given
two clocks.................................................................................................46
Obj. 103 - WP: Determine the start time given the end time
on a clock and the elapsed time within an hour .....................................47
Obj. 104 - Calculate elapsed time exceeding an hour without
regrouping ...............................................................................................48
Obj. 105 - Calculate elapsed time exceeding an hour with
regrouping ...............................................................................................48
Obj. 106 - WP: Calculate elapsed time exceeding an hour
without regrouping hours .......................................................................49
Obj. 107 - WP: Calculate elapsed time exceeding an hour
with regrouping hours.............................................................................49
Obj. 108 - WP: Determine the end time given the start time
and the elapsed time exceeding an hour.................................................50
Obj. 109 - WP: Determine the start time given the end time
and the elapsed time exceeding an hour.................................................50
Obj. 110 - Read a timetable to answer questions ....................................50
Obj. 111 - WP: Add time intervals involving hours and minutes............51
Obj. 112 - Solve an elapsed-time problem using a calendar ...................52
Obj. 113 - WP: Determine temperature change given a picture
of thermometers ......................................................................................53
Obj. 114 - Determine the perimeter of a rectangle given
a picture showing length and width ........................................................54
Obj. 115 - WP: Determine the perimeter of a rectangle given
a picture showing length and width ........................................................55
Obj. 116 - WP: Determine the perimeter of a square or rectangle..........55
Obj. 117 - Determine the missing side length of a rectangle
given a side length and the perimeter.....................................................56
Obj. 118 - Determine the area of a rectangle given a picture
showing the length and width .................................................................56
Obj. 119 - Determine the area of a rectangle given the
length and width......................................................................................57
Obj. 120 - WP: Determine the area of a rectangle ..................................57
Obj. 121 - Determine the missing side length of a rectangle
given a side length and the area ..............................................................58
Obj. 122 - Estimate the area of an irregular polygon on
a grid ........................................................................................................58
Obj. 123 - Determine the volume of an object composed of
rectangular prisms by counting units .....................................................59
Obj. 124 - Classify an angle given a picture ............................................60
Obj. 125 - Associate degrees with a turn on a circle................................60
Obj. 126 - Identify parallel, perpendicular, and intersecting
lines..........................................................................................................61
Obj. 127 - Identify a shape that has parallel or perpendicular
sides .........................................................................................................62
Obj. 128 - Classify a triangle by its sides.................................................63
Obj. 129 - Classify a quadrilateral ...........................................................64
Obj. 130 - Identify congruent translated, reflected, or
rotated shapes..........................................................................................65
Obj. 131 - Identify similar shapes............................................................66
Obj. 132 - Identify a figure that has reflectional or rotational
symmetry .................................................................................................67
Obj. 133 - Determine the result of a flip, a turn, or a
slide..........................................................................................................68
Obj. 134 - Determine the result of a quarter or a half
turn ..........................................................................................................68
Obj. 135 - Determine a path or location on a grid using
compass directions ..................................................................................69
Obj. 136 - Identify the location of an ordered pair in
the first quadrant using compass directions...........................................70
Obj. 137 - Determine the ordered pair of a point in the
first quadrant using compass directions.................................................72
Topic 4 - Data Analysis, Statistics, and Probability ........................................73
Obj. 138 - Answer a question using information from a circle
graph........................................................................................................73
Obj. 139 - Read a double-bar graph ........................................................74
Obj. 140 - Use a double-bar graph to represent data .............................75
Obj. 141 - Answer a question using information from a double-bar
graph........................................................................................................78
Obj. 142 - Answer a question using information from a table................79
Obj. 143 - List possible outcomes of a simple event ...............................79
Topic 1 - Number Sense and Operations
Obj. 1 - Read a 6-digit whole number
1. What is the standard form of six hundred thirty-six thousand, two hundred fifty-three?
[A] 63,623
[B] 636,253
[C] 6,360,253
[D] 636,523
2. What is the standard form of one hundred fourteen thousand, eighty?
[A] 1,140,080
[B] 114,080
[C] 11,400
[D] 114,800
Obj. 2 - Determine the word form of a 6-digit whole number
3. What is the word form of 292,338?
[A] twenty-nine thousand, three hundred thirty-eight
[B] two hundred ninety-two thousand, three hundred eighty-three
[C] two hundred ninety-two and three hundred thirty-eight thousand
[D] two hundred ninety-two thousand, three hundred thirty-eight
4. What is the word form of 535,304?
[A] five hundred thirty-five thousand, three hundred four
[B] five hundred thirty-five and three hundred four thousand
[C] five hundred thirty-five thousand, three hundred forty
[D] fifty-three thousand, three hundred four
Obj. 3 - Determine the value of a digit in a 6-digit whole number
5. What is the value of the digit 2 in 267,549?
[A] 2 thousands
[B] 2 hundred thousands
[C] 2 hundreds
[D] 2 ten thousands
6. What is the value of the digit 9 in 936,825?
[A] 900,000
[B] 9,000
[C] 900
1
[D] 90,000
Topic 1 - Number Sense and Operations
Obj. 4 - Determine which digit is in a specified place in a 6-digit whole number
7. Which digit is in the hundreds place in the number 539,486?
[A] 5
[B] 9
[C] 8
[D] 4
8. What digit is in the hundred thousands place in the number 739,512?
[A] 9
[B] 3
[C] 7
[D] 2
Obj. 5 - Determine the whole number represented in expanded form written in powers of
ten
b
g b
g b
g b
g b g
9. What is the standard form of 2 × 10,000 + 1 × 1,000 + 6 × 100 + 2 × 10 + 3 × 1 ?
[A] 21,263
[B] 21,623
[C] 26,123
[D] 21,326
10. What is the standard form of
3 × 100,000 + 1 × 10,000 + 3 × 1,000 + 9 × 100 + 0 × 10 + 5 × 1 ?
b
g b
[A] 313,509
g b
g b
[B] 313,950
g b
[C] 313,905
g b g
[D] 313,095
Obj. 6 - Represent a 6-digit whole number in expanded form using powers of ten
11. What is the expanded form of 257,392?
[A]
[B]
[C]
[D]
b2 × 100,000g + b5 × 10,000g + b7 × 1,000g + b9 × 100g + b3 × 10g + b2 × 1g
b2 × 100,000g + b5 × 10,000g + b3 × 1,000g + b7 × 100g + b9 × 10g + b2 × 1g
b2 × 100,000g + b5 × 10,000g + b7 × 1,000g + b3 × 100g + b9 × 10g + b2 × 1g
b2 × 100,000g + b5 × 10,000g + b7 × 1,000g + b3 × 100g + b2 × 10g + b9 × 1g
2
Topic 1 - Number Sense and Operations
12. What is the expanded form of 742,012?
[A]
[B]
[C]
[D]
b7 × 10,000g + b4 × 1,000g + b2 × 100g + b0 × 10g + b1 × 1g + b2 × 0g
b7 × 100,000g + b4 × 10,000g + b2 × 1,000g + b0 × 100g + b1 × 10g + b2 × 1g
b7 × 10,000g + b4 × 1,000g + b2 × 100g + b1 × 10g + b0 × 1g + b2 × 0g
b7 × 100,000g + b4 × 10,000g + b2 × 1,000g + b1 × 100g + b0 × 10g + b2 × 1g
Obj. 7 - Convert between proper expanded form and improper expanded form up to a 5digit whole number
13.
14.
b1 × 1,000g + b4 × 100g + b13 × 10g + b5 × 1g =
[A] b1 × 1,000g + b5 × 100g + b3 × 10g + b5 × 1g
[B] b1 × 1,000g + b4 × 100g + b3 × 10g + b15 × 1g
[C] b1 × 1,000g + b4 × 100g + b3 × 10g + b6 × 1g
[D] b2 × 1,000g + b4 × 100g + b3 × 10g + b5 × 1g
b1 × 10,000g + b6 × 1,000g + b15 × 100g + b1 × 10g + b3 × 1g =
[A] b1 × 10,000g + b6 × 1,000g + b5 × 100g + b2 × 10g + b3 × 1g
[B] b1 × 10,000g + b6 × 1,000g + b5 × 100g + b11 × 10g + b3 × 1g
[C] b1 × 10,000g + b7 × 1,000g + b5 × 100g + b1 × 10g + b3 × 1g
[D] b1 × 10,000g + b16 × 1,000g + b5 × 100g + b1 × 10g + b3 × 1g
Obj. 8 - Convert between standard form and improper expanded form up to a 5-digit
whole number
b
g b
g b
g b g
15. Which number is equal to 3 × 1,000 + 11 × 100 + 8 × 10 + 3 × 1 ?
[A] 4,183
[B] 32,183
b
[C] 4,283
g b
g b
[D] 31,183
g b
g b g
16. Which number is equal to 1 × 10,000 + 12 × 1,000 + 6 × 100 + 2 × 10 + 7 × 1 ?
[A] 112,627
[B] 22,627
[C] 22,727
3
[D] 122,627
Topic 1 - Number Sense and Operations
Obj. 9 - Add up to 4-digit whole numbers in expanded form
17. What is the expanded form of the sum?
b9 × 1,000g + b2 × 100g + b9 × 10g + b1 × 1g
+ b2 × 1,000g + b5 × 100g + b0 × 10g + b3 × 1g
[A] b1 × 10,000g + b2 × 1,000g + b7 × 100g + b9 × 10g + b4 × 1g
[B] b1 × 10,000g + b1 × 1,000g + b7 × 100g + b8 × 10g + b4 × 1g
[C] b1 × 10,000g + b1 × 1,000g + b8 × 100g + b9 × 10g + b4 × 1g
[D] b1 × 10,000g + b1 × 1,000g + b7 × 100g + b9 × 10g + b4 × 1g
18. What is the expanded form of the sum?
b2 × 100g + b5 × 10g + b0 × 1g
+ b1 × 100g + b9 × 10g + b3 × 1g
[A] b4 × 100g + b4 × 10g + b2 × 1g
[C] b4 × 100g + b4 × 10g + b3 × 1g
[B]
[D]
b3 × 100g + b8 × 10g + b9 × 1g
b4 × 100g + b5 × 10g + b3 × 1g
Obj. 10 - Add a 5-digit or greater whole number and a 3-digit or greater whole number
19. Add: 83,871 + 3,957
[A] 87,728
[B] 87,828
20.
580,758
+ 27,625
[A] 608,383
[B] 609,383
21.
9,489,147
+ 470,351
[A] 9,959,398
[B] 9,959,498
[C] 87,838
[C] 608,283
[C] 9,959,508
[D] 88,828
[D] 608,373
[D] 9,958,498
Obj. 11 - Add three multi-digit whole numbers
22. Add: 755 + 536 + 865
[A] 2,166
[B] 2,056
4
[C] 2,156
[D] 2,356
Topic 1 - Number Sense and Operations
23.
860
[A] 15,412
[B] 15,522
[C] 15,502
[D] 15,512
[A] 24,377
[B] 24,478
[C] 24,477
[D] 24,487
7,480
+ 7,172
24.
7,828
7,330
+ 9,319
Obj. 12 - Subtract a smaller number from a 3- or 4-digit whole number in expanded form
25.
26.
b4 × 100g + b3 × 10g + b5 × 1g
− b2 × 100g + b5 × 10g + b2 × 1g
[A] b2 × 100g + b8 × 10g + b3 × 1g
[B] b1 × 100g + b8 × 10g + b3 × 1g
[C] b2 × 100g + b8 × 10g + b2 × 1g
[D] b2 × 100g + b2 × 10g + b3 × 1g
b5 × 1,000g + b3 × 100g + b9 × 10g + b1 × 1g
− b1 × 1,000g + b6 × 100g + b1 × 10g + b4 × 1g
[A] b4 × 1,000g + b3 × 100g + b8 × 10g + b7 × 1g
[B] b3 × 1,000g + b3 × 100g + b8 × 10g + b3 × 1g
[C] b3 × 1,000g + b7 × 100g + b7 × 10g + b7 × 1g
[D] b4 × 1,000g + b7 × 100g + b8 × 10g + b3 × 1g
Obj. 13 - Subtract a 3-digit or greater whole number from a 5-digit or greater whole
number
27. Subtract: 41121
,
− 5,543
28.
150,810
− 90,541
[A] 35,578
[A] 60,169
[B] 36,578
[B] 60,269
5
[C] 35,588
[C] 59,269
[D] 35,678
[D] 60,279
Topic 1 - Number Sense and Operations
29.
3,290,256
− 976,835
[A] 2,313,421
[B] 2,313,321
[C] 2,314,421
[D] 2,323,421
Obj. 14 - WP: Add a 5-digit or greater whole number and a 3-digit or greater whole
number
30. On the last day of summer, 7,627 people visit a museum. Up to that day of the summer,
535,840 people visited the museum. How many people visited during the summer?
[A] 1,298,540 people
[B] 542,467 people
[C] 1,297,540 people
[D] 543,467 people
31. Dejohn’s last score on a computer game was 724 points higher than his score yesterday. He
scored 33,426 points yesterday. What was his last score?
[A] 34,150 points
[B] 106,826 points
[C] 35,150 points
[D] 105,826 points
32. A library keeps an Internet log. In January, the library’s computers visited
48,547 Web sites. In February, 69,632 Web sites were visited. How many Web sites were
visited in January and February?
[A] 108,179 Web sites
[B] 118,179 Web sites
[C] 119,179 Web sites
[D] 118,169 Web sites
Obj. 15 - WP: Add three multi-digit whole numbers
33. An airplane made stops in three cities. The air distance to the first city was 250 miles. The
air distance to the next city was 292 miles. Then the airplane flew 1,916 miles to the third
city. How many total miles did the airplane fly?
[A] 2,448 miles
[B] 2,208 miles
[C] 2,558 miles
[D] 2,458 miles
34. A bakery owner sells plain, onion, and honey wheat bagels. This week he sells
257 onion bagels and 247 honey wheat bagels. He also sells 312 plain bagels. How many
bagels did he sell in all?
[A] 192 bagels
[B] 716 bagels
[C] 816 bagels
6
[D] 796 bagels
Topic 1 - Number Sense and Operations
35. Mattie, Ryan, and Lindsey work at an apple farm. In one month, Mattie picked
1,388 bushels of apples. In the same month, Ryan picked 1,017 bushels and Lindsey
picked 1,158 bushels. How many bushels in all did the three people pick?
[A] 3,553 bushels
[B] 3,563 bushels
[C] 1,247 bushels
[D] 3,664 bushels
Obj. 16 - WP: Subtract a 3-digit or greater whole number from a 5-digit or greater whole
number
36. A bowler had a score of 12,901 points for her season. She scored 754 points in her last
three games. How many points did she have before the last three games?
[A] 12,137 points
[B] 12,147 points
[C] 12,047 points
[D] 12,237 points
37. In June, a zoo had 1,158,389 visitors. Of those, 5,972 people came for a special show.
How many visitors did not see the special show?
[A] 1,097,669 visitors
[B] 1,098,669 visitors
[C] 1,153,417 visitors
[D] 1,152,417 visitors
38. At the latest baseball game, 47,271 people attended. The season total is now
2,968,045 people. What was the season total before the game?
[A] 2,920,774 people
[B] 2,920,764 people
[C] 2,920,773 people
[D] 2,920,874 people
Obj. 17 - Round a 4- to 6-digit whole number to a specified place
39. What is 98,632 rounded to the thousands place?
[A] 98,000
[B] 99,000
[C] 98,600
[D] 98,700
40. What is 455,259 rounded to the ten-thousands place?
[A] 460,000
[B] 455,300
[C] 455,000
[D] 450,000
[C] 30,000
[D] 34,000
41. What is 34,237 rounded to its greatest place?
[A] 40,000
[B] 34,200
7
Topic 1 - Number Sense and Operations
Obj. 18 - WP: Estimate a sum or difference of two 3- or 4-digit whole numbers using any
method
42. There are 679 children at Cindy’s school and 381 children at Deon’s school. Which
number is a reasonable estimate of how many more children go to Cindy’s school than go
to Deon’s school?
[A] 100 children
[B] 300 children
[C] 450 children
[D] 1,100 children
43. An airplane flew 2,754 miles in one day. The next day it flew 7,174 miles. Which distance
is a reasonable estimate of how far the airplane flew on both days together?
[A] 6,500 miles
[B] 10,000 miles
[C] 11,500 miles
[D] 8,000 miles
44. A basketball player scored 827 points in one season. A second player scored 1,129 points
more than the first player. Which number is a reasonable estimate of the number of points
the second player scored?
[A] 2,100 points
[B] 1,800 points
[C] 1,900 points
[D] 2,000 points
Obj. 19 - WP: Estimate the sum or difference of two whole numbers, all values less than
1,000,000
45. Mrs. Suzuki’s car has been driven 136,402 miles. Ms. Webb’s car has been driven
80,753 miles. About how many more miles has Mrs. Suzuki’s car been driven than
Ms. Webb’s car?
[A] 30,000 to 40,000 miles
[B] 90,000 to 100,000 miles
[C] 70,000 to 80,000 miles
[D] 50,000 to 60,000 miles
46. In July, a water park sold 164,065 tickets. In August, the water park sold 237,917 tickets.
About how many tickets were sold in both months?
[A] 700,000 tickets
[B] 400,000 tickets
[C] 100,000 tickets
[D] 200,000 tickets
47. A band went on a concert tour in the spring. They sold 25,923 tickets in their spring
concert tour. The band went on tour again in the fall and sold 69,236 tickets. About how
many tickets did they sell in both spring and fall?
[A] 100,000 tickets
[B] 130,000 tickets
8
[C] 60,000 tickets
[D] 40,000 tickets
Topic 1 - Number Sense and Operations
Obj. 20 - WP: Solve a 2-step problem involving addition and/or subtraction of multi-digit
whole numbers
48. In February a bookstore owner purchased 973 books for her new store. In March she
purchased 714 fewer books than she did in February. How many books did she purchase in
those two months?
[A] 1,946 books
[B] 2,401 books
[C] 259 books
[D] 1,232 books
49. A company made 5,621 coats this month. The company made 2,582 fewer coats last month
than this month. How many coats did the company make in both months?
[A] 10,785 coats
[B] 5,164 coats
[C] 8,660 coats
[D] 13,824 coats
Obj. 21 - Use a multiplication sentence to represent an area or an array model
50. Which multiplication sentence matches the picture?
[A] 2 × 2 =
[B] 2 × 4 =
[C] 1 × 3 =
[D] 2 × 3 =
51. Which multiplication sentence shows how to find the total number of squares in the shape?
[A] 3 × 7 =
[B] 4 × 9 =
[C] 4 × 8 =
9
[D] 4 × 4 =
Topic 1 - Number Sense and Operations
Obj. 22 - Know basic multiplication facts to 12 x 12
52. Multiply: 11 × 5
[A] 16
[B] 44
[C] 50
[D] 55
53. Multiply: 12 × 11
[A] 120
[B] 132
[C] 23
[D] 143
54. Multiply: 3 × 2
[A] 6
[B] 4
[C] 5
[D] 3
55.
9
×5
[A] 36
[B] 40
[C] 45
[D] 14
Obj. 23 - Multiply a number by 10 or 100
56. Multiply: 93 × 10
[A] 930
[B] 9,300
[C] 103
[D] 9,030
57. Multiply: 41 × 100
[A] 41,000
[B] 4,100
[C] 410
[D] 141
58. Multiply: 213 × 100
[A] 313
[B] 2,130
[C] 21,300
[D] 223
Obj. 24 - Multiply a 1- or 2-digit whole number by a multiple of 10, 100, or 1,000
59. Multiply: 76 × 80
[A] 5,680
[B] 568
[C] 6,080
[D] 608
60. Multiply: 89 × 200
[A] 1,680
[B] 17,800
[C] 16,800
[D] 1,780
61. Multiply: 28 × 6,000
[A] 128,000
[B] 16,800
[C] 168,000
[D] 12,800
Obj. 25 - Apply the distributive property to the multiplication of a 2-digit number by a 1or 2-digit number
62. Which expression has the same value as 74 × 8?
[A]
[C]
b70 + 4g × b70 + 8g
b70 × 4g + b70 × 8g
[B]
[D]
10
b70 + 8g × b4 + 8g
b70 × 8g + b4 × 8g
Topic 1 - Number Sense and Operations
63. Which expression has the same value as 89 × 85?
[A]
[C]
b80 × 85g + b9 × 85g
b80 × 80g + b9 × 5g
b80 × 8g + b9 × 5g
b80 + 85g × b9 + 85g
[B]
[D]
Obj. 26 - Apply the distributive property to multiply a multi-digit number by a 1-digit
number
64. Which expression has the same value as 634 × 9?
[A]
[C]
b 6 × 9g + b 3 × 9g + b 4 × 9g
b600 × 9g + b3 × 9g + b4 × 9g
b600 × 9g + b30 × 9g + b4 × 9g
b6 × 9g + b30 × 9g + b4 × 9g
[B]
[D]
65. Which expression has the same value as 5,718 × 3?
[A]
[C]
b5,000 × 3g + b700 × 3g + b10 × 3g + b8 × 3g
b5,000 × 3g + b700 × 3g + b1 × 3g + b8 × 3g
[B]
[D]
b5 × 3g + b7 × 3g + b1 × 3g + b8 × 3g
b5 × 3g + b700 × 3g + b10 × 3g + b8 × 3g
Obj. 27 - Multiply a 3- or 4-digit whole number by a 1-digit whole number
66. Multiply: 6,411 × 3
67.
129
× 7
[A] 19,133
[A] 903
[B] 18,233
[B] 973
[C] 19,233
[C] 803
[D] 19,243
[D] 893
Obj. 28 - Multiply a 2-digit whole number by a 2-digit whole number
68. Multiply: 28 × 94
69.
73
× 98
[A] 2,602
[A] 7,164
[B] 2,732
[B] 8,154
11
[C] 2,632
[C] 7,054
[D] 2,622
[D] 7,154
Topic 1 - Number Sense and Operations
Obj. 29 - WP: Multiply using basic facts to 12 x 12
70. There will be a 2-day fair to celebrate Black History Month in February.
Mrs. Jenkins wants to plan 3 events for each day of the fair. What is the total number of
events she needs to plan?
[A] 8 events
[B] 3 events
[C] 5 events
[D] 6 events
71. Dr. Jackson visits patients at a nearby nursing home 12 times a month. He sees an average
of 6 patients during each visit. What is the average number of patients he sees in a month?
[A] 18 patients
[B] 78 patients
[C] 84 patients
[D] 72 patients
Obj. 30 - WP: Multiply a multi-digit whole number by a 1-digit whole number
72. A cook is preparing vegetable trays for a party. There will be 127 people at the party. The
cook wants to have 5 ounces of vegetables for each person. How many ounces of
vegetables does the cook need to prepare?
[A] 645 ounces
[B] 635 ounces
[C] 254 ounces
[D] 132 ounces
73. A salesperson flies 4,143 miles each week to visit customers in different cities. How many
miles does he fly in 6 weeks?
[A] 25,058 miles
[B] 29,001 miles
[C] 24,848 miles
[D] 24,858 miles
74. A worker loads steel bridge supports that weigh 8,307 pounds each onto trucks. How much
do 7 of those bridge supports weigh?
[A] 58,149 pounds
[B] 49,842 pounds
[C] 58,049 pounds
[D] 58,109 pounds
Obj. 31 - WP: Multiply a 2-digit whole number by a 2-digit whole number
75. An office worker can type 64 words in one minute. How many words can she type in
19 minutes?
[A] 1,280 words
[B] 1,216 words
[C] 1,316 words
[D] 190 words
76. During the summer, an average of 19 people visit a park each day. Using that average, how
many people would visit the park in 41 days?
[A] 779 people
[B] 879 people
[C] 798 people
12
[D] 410 people
Topic 1 - Number Sense and Operations
Obj. 32 - Estimate a product of whole numbers by rounding
77. Estimate the answer by rounding each number to its greatest place: 24 × 77
[A] 1,400
[B] 2,400
[C] 1,600
[D] 2,100
78. Estimate the answer by rounding each number to its greatest place: 276 × 44
[A] 12,000
[B] 8,000
[C] 15,000
[D] 10,000
Obj. 33 - Estimate a product of whole numbers using any method
79. Which number is a reasonable estimate for 406 × 49?
[A] 26,000
[B] 21,000
[C] 260,000
[D] 210,000
80. Which number is a reasonable estimate for 91 × 83?
[A] 7,200
[B] 72,000
[C] 70,000
[D] 7,000
Obj. 34 - WP: Estimate a product of two whole numbers using any method
81. A pottery shop makes an average of 947 pots each month. About how many pots will the
shop make in 42 months?
[A] 360,000 pots
[B] 33,000 pots
[C] 330,000 pots
[D] 36,000 pots
82. A knitting pattern for a potholder calls for 51 rows of stitches. Each row in the pattern has
34 stitches. About how many total stitches will Alma need to make to complete one
potholder?
[A] 150 stitches
[B] 1,500 stitches
[C] 2,500 stitches
[D] 15,000 stitches
Obj. 35 - Complete a multiplication and division fact family
83. Which number sentence completes the fact family?
15 ÷ 3 = 5 5 × 3 = 15 3 × 5 = 15
[A] 15 ÷ 5 = 3
[B] 15 ÷ 1 = 15
[C] 18 ÷ 3 = 6
13
[D] 15 × 1 = 15
Topic 1 - Number Sense and Operations
84. Which number sentence completes the fact family?
6 × 10 = 60
60 ÷ 6 = 10
60 ÷ 10 = 6
[A] 60 ÷ 5 = 12
[B] 5 × 12 = 60
[C] 10 × 6 = 60
[D] 7 × 10 = 70
Obj. 36 - Divide a multi-digit whole number by 10 or 100 with no remainder
85. Divide: 2,050 ÷ 10
[A] 2,060
86. Divide: 179,000 ÷ 100
[B] 2,040
[A] 1,690
[C] 195
[B] 1,790
[C] 17,900
[D] 205
[D] 16,900
Obj. 37 - Divide a 2-digit whole number by a 1-digit whole number with no remainder in
the quotient
87. Divide: 91 ÷ 7
88. 2 78
[A] 13
[A] 40
[B] 98
[B] 41
[C] 14
[C] 37
[D] 84
[D] 39
Obj. 38 - Divide a 3-digit whole number by a 1-digit whole number with no remainder in
the quotient
89. Divide: 756 ÷ 3
90. 7 504
[A] 254
[A] 62
[B] 252
[B] 71
[C] 218
[C] 70
[D] 253
[D] 72
Obj. 39 - Divide a 2-digit whole number by a 1-digit whole number with a remainder in the
quotient
91. Divide: 31 ÷ 4
92. 6 44
[A] 6 R7
[A] 7
[B] 7
[B] 6 R8
14
[C] 7 R3
[C] 7 R2
[D] 8
[D] 6
Topic 1 - Number Sense and Operations
Obj. 40 - Divide a 3-digit whole number by a 1-digit whole number with a remainder in the
quotient
93. Divide: 785 ÷ 2
94. 7 855
[A] 391 R3
[A] 122 R1
[B] 392 R1
[B] 121 R8
[C] 391 R1
[C] 122 R6
[D] 393
[D] 123 R1
Obj. 41 - WP: Divide a 2-digit whole number by a 1-digit whole number with no remainder
in the quotient
95. Betty did 6 sets of push-ups, for a total of 78 push-ups. She did the same number of pushups in each set. How many push-ups did Betty do in each set?
[A] 84 push-ups
[B] 83 push-ups
[C] 12 push-ups
[D] 13 push-ups
96. Damon raises 3 different breeds of chickens. He has the same number of chickens in each
breed and has 39 chickens in all. How many chickens does Damon have in each breed?
[A] 13 chickens
[B] 14 chickens
[C] 42 chickens
[D] 43 chickens
Obj. 42 - WP: Divide a 3-digit whole number by a 1-digit whole number with no remainder
in the quotient
97. In a recycling drive, 5 classes each collected the same amount of newspaper. The classes
collected 395 pounds in all. How many pounds of newspaper did each class collect?
[A] 78 pounds
[B] 79 pounds
[C] 709 pounds
[D] 708 pounds
98. Each table in a library can seat up to 6 people. There are enough tables for 84 people in all.
How many tables are in the library?
[A] 105 tables
[B] 104 tables
[C] 13 tables
[D] 14 tables
Obj. 43 - WP: Divide a 2-digit whole number by a 1-digit whole number with a remainder
in the quotient
99. Mrs. Cruz has 81 pens. She wants to give 6 students the same number of pens. What is the
greatest number of pens she can give each student?
[A] 12 pens
[B] 10 pens
[C] 13 pens
15
[D] 11 pens
Topic 1 - Number Sense and Operations
100. Chi owns a flower shop. She needs 16 bunches of flowers for a large order. The flowers
come in boxes that hold 5 bunches each. How many boxes of flowers will she need to fill
the order?
[A] 11 boxes
[B] 4 boxes
[C] 1 box
[D] 3 boxes
101. Ms. Little has 71 erasers. She puts the same number of erasers into each of the 6 boxes
sitting on the classroom tables. What is the fewest number of erasers she can have left
over?
[A] 4 erasers
[B] 7 erasers
[C] 5 erasers
[D] 11 erasers
Obj. 44 - WP: Divide a 3-digit whole number by a 1-digit whole number with a remainder
in the quotient
102. For a bake sale, Benjamin makes 493 cookies and places them into small bags. Each bag
will hold 4 cookies. How many full bags of cookies can Benjamin make?
[A] 143 bags
[B] 144 bags
[C] 124 bags
[D] 123 bags
103. A museum offers small tours of 4 people each. There are 170 people who signed up to go
on a tour. How many tours are needed so that everyone who signed up gets to go?
[A] 43 tours
[B] 42 tours
[C] 44 tours
[D] 45 tours
104. For a bake sale, Henry makes 380 cookies and places them into small bags. Each bag will
hold 6 cookies. Henry fills as many bags as he can and freezes the remaining cookies. How
many cookies does he freeze?
[A] 4 cookies
[B] 2 cookies
[C] 1 cookie
[D] 8 cookies
Obj. 45 - WP: Solve a 2-step whole number problem using more than 1 operation
105. Karl is making flowers from sheets of tissue paper. He is making 40 flowers, and each
flower uses 2 sheets of tissue paper. Karl has 113 sheets of tissue paper. How many extra
sheets of tissue paper does Karl have?
[A] 33 sheets
[B] 1 sheet
[C] 3 sheets
16
[D] 71 sheets
Topic 1 - Number Sense and Operations
106. Ingrid is packing her paperback books into boxes. She can fit 28 books into each box. She
has just enough paperback books to fill 20 boxes. In addition, Ingrid also has
172 hardcover books. How many books does Ingrid have in all?
[A] 192 books
[B] 742 books
[C] 732 books
[D] 220 books
107. Gail has 160 marbles to give away. She divides them equally among 10 friends. Then Gail
finds 8 more marbles and gives them to her best friend. What is the total number of
marbles Gail’s best friend gets?
[A] 192 marbles
[B] 24 marbles
[C] 9 marbles
[D] 16 marbles
Obj. 46 - Relate a fraction model to an equivalent fraction
108. Which fraction is equivalent to the part of the rectangle that is shaded?
[A]
22
27
[B]
11
36
[C]
29
36
109. Which model is shaded to show a fraction equivalent to
[A]
[B]
[C]
[D]
[D]
21
27
[D]
2 4 8
, ,
4 8 12
4
?
5
Obj. 47 - Determine a set of equivalent fractions
110. Which group shows only equivalent fractions?
[A]
2 5 8
, ,
3 6 9
[B]
3 6 9
, ,
6 9 12
[C]
17
2 6 8
, ,
3 9 12
Topic 1 - Number Sense and Operations
111. Which group of fractions are all equivalent to
12 18 24
,
,
14 21 28
[A]
[B]
12 18 24
,
,
21 14 28
6
?
7
[C]
12 18 24
,
,
14 28 21
[D]
12 18 25
,
,
14 21 29
Obj. 48 - Simplify a fraction
112. What is
4
written in simplest form?
8
[A]
1
4
[B]
8
16
[C]
1
2
113. What is
18
written in simplest form?
20
[A]
4
5
[B]
9
10
[C]
1
20
[D]
[D]
2
3
1
2
Obj. 49 - Compare fractions on a number line
114. The fractions
7 1
2
, , and can be found on the number line. Which statement is true?
12 2
3
0
[A]
1
1 2
<
2 3
115. The fractions
[B]
5 1
<
8 2
[C]
7 2
>
12 3
5 3
1
, , and can be found on the number line. Which statement is true?
8 4
2
0
[A]
7 1
<
12 2
1
[B]
1 3
>
2 4
18
[C]
3 5
>
4 8
Topic 1 - Number Sense and Operations
Obj. 50 - Order fractions on a number line
5 2
3
, , and can be found on the number line. Which list is in order from
6 3
4
least to greatest?
116. The fractions
0
1
5 3 2
, ,
6 4 3
[A]
[B]
2 3 5
, ,
3 4 6
[C]
5 2 3
, ,
6 3 4
[D]
2 5 3
, ,
3 6 4
1 1
1
, , and can be found on the number line. Which list is in order from
8 4
2
greatest to least?
117. The fractions
0
[A]
1 1 1
, ,
8 2 4
1
[B]
1 1 1
, ,
8 4 2
[C]
1 1 1
, ,
2 8 4
[D]
1 1 1
, ,
2 4 8
Obj. 51 - Add fractions with like denominators no greater than 10 using models
118. Add:
1 2
+
4 4
[A]
3
4
[B]
19
2
4
[C]
2
8
[D]
3
8
Topic 1 - Number Sense and Operations
3 1
+
9 9
119. Add:
[A]
4
14
[B]
6
8
[C]
4
9
[D]
4
18
Obj. 52 - Add fractions with like denominators no greater than 10
120. Add:
121.
1
2
+
10 10
5
7
1
+
7
[A]
[A]
4
20
3
10
[B]
6
14
[B]
[C]
4
7
[C]
4
10
[D]
5
14
[D]
3
20
6
7
Obj. 53 - Add fractions with like denominators no greater than 10 and simplify the sum
2 4
+
8 8
122. Add:
[A]
123.
5
8
2
10
3
+
10
[A]
1
2
(Simplify the answer if possible.)
[B]
3
4
[C]
3
8
[D]
5
16
[C]
1
4
[D]
3
5
(Simplify the answer if possible.)
[B]
3
10
20
Topic 1 - Number Sense and Operations
Obj. 54 - WP: Add fractions with like denominators no greater than 10 and simplify the
sum
2
2
of the morning setting up her tent. She spent of the morning finding
5
5
firewood. What fraction of the morning did Hidi spend setting up her tent and finding
firewood? Simplify the answer if possible.
124. Hidi spent
[A]
4
25
[B]
2
5
[C]
3
5
[D]
4
5
2
7
of the day climbing trees and
of the day
10
10
packing to go home. How much of the day did Pam spend on these two things? Simplify
the answer if possible.
125. On the last day of camp, Pam spent
[A]
9
of the day
10
[B]
4
of the day
5
[C]
7
of the day
50
[D]
9
of the day
20
Obj. 55 - Subtract fractions with like denominators no greater than 10 using models
126. Subtract:
4 3
−
6 6
[A]
1
5
[B]
1
6
[C]
2
3
[D]
1
12
127. Subtract:
5 4
−
8 8
[A]
1
8
[B]
1
7
[C]
1
16
[D]
3
4
21
Topic 1 - Number Sense and Operations
Obj. 56 - Subtract fractions with like denominators no greater than 10
128. Subtract:
129.
6
8
5
−
8
3 2
−
8 8
[A]
[A]
3
16
1
16
[B]
[B]
3
16
[C]
1
8
[C]
1
8
[D]
2
8
[D]
2
8
1
16
Obj. 57 - Subtract fractions with like denominators no greater than 10 and simplify the
difference
130. Subtract:
[A]
131.
5
8
3
−
8
7 4
−
9 9
(Simplify the answer if possible.)
1
3
[B]
1
6
[C]
(Simplify the answer if possible.)
2
9
[A]
[D]
3
8
[B]
1
8
4
9
[C]
1
16
[D]
Obj. 58 - WP: Subtract fractions with like denominators no greater than 10 and simplify
the difference
3
2
of the herd of giraffes. Dr. Fischer examined of the herd of
6
6
giraffes. What fraction more of the herd did Dr. Acosta examine than Dr. Fischer?
Simplify the answer if possible.
132. Dr. Acosta examined
[A]
1
of the herd
6
[B]
3
of the herd
4
[C]
22
1
of the herd
12
[D]
1
of the herd
7
1
4
Topic 1 - Number Sense and Operations
5
4
of the morning putting in doors. Putting in windows took
8
8
of the morning. What fraction more of the morning did the carpenter spend putting in
doors? Simplify the answer if possible.
133. One day a carpenter spent
[A]
1
of the morning
7
[B]
1
of the morning
8
[C]
3
of the morning
4
[D]
1
of the morning
16
Obj. 59 - Identify a mixed number represented by a model
134. In the picture, each large rectangle represents 1. What mixed number is shown by the
shaded parts of the picture?
[A] 4
1
3
[B] 4
39
9
[C] 4
9
39
[D] 4
9
3
135. In the picture, each large rectangle represents 1. What mixed number is represented by the
shaded parts of the picture?
[A] 2
3
8
[B] 2
8
21
[C] 2
23
5
8
[D] 2
21
8
Topic 1 - Number Sense and Operations
Obj. 60 - Identify a mixed number represented by a point on a number line
136. Which mixed number is represented by letter R?
R S
9
10
[A] 10
T
11
1
3
U
12
[B] 10
13
2
3
[C] 9
2
3
[D] 10
137. Which mixed number is represented by the letter R?
S
R
10
[A] 10
U
T
11
1
6
12
[B] 9
13
5
6
[C] 10
Obj. 61 - Locate a mixed number on a number line
2
138. Which number line shows a dot at 4 ?
3
[A]
4
5
6
7
8
4
5
6
7
8
4
5
6
7
8
4
5
6
7
8
[B]
[C]
[D]
24
5
6
[D] 11
1
6
Topic 1 - Number Sense and Operations
1
139. Which number line shows a dot at 3 ?
6
[A]
2
3
4
5
2
3
4
5
2
3
4
5
2
3
4
5
[B]
[C]
[D]
Obj. 62 - WP: Use a mixed number to represent an amount in a sharing situation
140. Seven students want to use 11 yards of yarn for an art project. The yarn is shared evenly
among them. How much yarn will each student get?
[A]
7
yard
11
[B] 1
4
yards
7
[C] 1
2
yards
7
[D] 2
4
yards
7
141. Hakim uses 7 cups of flour to make 3 loaves of bread. He uses the same amount of flour to
make each loaf. How many cups of flour does he use in each loaf of bread?
[A]
3
cup
7
[B] 1
3
cups
7
[C] 1
25
1
cups
3
[D] 2
1
cups
3
Topic 1 - Number Sense and Operations
Obj. 63 - Identify an improper fraction represented by a model of a mixed number
142. The model shows the mixed number 2
Which improper fraction is equal to 2
[A]
30
3
[B]
6
.
10
6
?
10
26
3
[C]
26
10
[D]
27
10
[C]
29
4
[D]
36
9
2
143. The model shows the mixed number 3 .
9
2
Which improper fraction is equal to 3 ?
9
[A]
29
9
[B]
28
9
Obj. 64 - Identify an improper fraction represented by a point on a number line
144. Which number is represented by Q on the number line?
Q
3
[A] 6
4
5
[B]
6
17
4
7
[C]
26
53
4
[D]
23
4
Topic 1 - Number Sense and Operations
145. Which number is represented by P on the number line?
P
2
[A]
3
4
23
10
[B]
5
37
10
[C]
6
43
10
[D]
Obj. 65 - Locate an improper fraction on a number line
146. Which number line shows a dot at
11
?
3
[A]
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
[B]
[C]
[D]
27
21
5
Topic 1 - Number Sense and Operations
147. Which number line shows a dot at
31
?
8
[A]
2
3
4
5
6
2
3
4
5
6
2
3
4
5
6
2
3
4
5
6
[B]
[C]
[D]
Obj. 66 - Read a decimal number through the hundredths place
148. Which decimal number shows five and five tenths in standard form?
[A] 5.05
[B] 0.55
[C] 50.5
[D] 5.5
149. Which decimal number shows seven and nineteen hundredths in standard form?
[A] 0.719
[B] 70.19
[C] 7.19
[D] 7.019
Obj. 67 - Determine the word form of a decimal number through the hundredths place
150. What is the word form of 8.3?
[A] eight and three tenths
[B] eight and three ones
[C] eighty and three
151. What is the word form of 9.29?
[A] nine hundred and twenty-nine hundredths
[B] nine and twenty-nine hundredths
[C] nine and twenty-nine tenths
28
Topic 1 - Number Sense and Operations
Obj. 68 - Determine the decimal number from a pictorial model of tenths or hundredths
152. Which decimal is represented by the shaded parts of the square?
[A] 0.2
[B] 0.02
[C] 0.8
[D] 0.08
153. Which decimal is represented by the shaded parts of the square?
[A] 0.77
[B] 0.87
[C] 0.22
29
[D] 0.78
Topic 1 - Number Sense and Operations
Obj. 69 - Identify a pictorial model of tenths or hundredths of a decimal number
154. Which model shows 0.4 shaded?
[A]
[B]
[C]
[D]
155. Which model shows 0.91 shaded?
[A]
[B]
[C]
[D]
30
Topic 1 - Number Sense and Operations
Obj. 70 - Identify a decimal number to tenths represented by a point on a number line
156. What decimal number is represented by the dot on the number line?
0
1
[A] 0.7
[B] 0.5
[C] 0.3
[D] 0.4
157. What decimal number is represented by the dot on the number line?
4
5
[A] 6.3
6
7
[B] 6.2
[C] 5.8
Obj. 71 - Locate a decimal number to tenths on a number line
158. Which number line shows a dot at 0.6?
[A]
0
1
0
1
0
1
0
1
[B]
[C]
[D]
31
[D] 7.2
Topic 1 - Number Sense and Operations
159. Which number line shows a dot at 7.8?
[A]
5
6
7
8
5
6
7
8
5
6
7
8
5
6
7
8
[B]
[C]
[D]
Obj. 72 - Determine the decimal number equivalent to a fraction with a denominator of 10
or 100
160. Which number is equal to
161.
Which number is equal to
3
?
10
83
?
100
[A] 0.003
[A] 0.83
[B] 0.03
[B] 8.3
[C] 0.3
[C] 0.083
[D] 3.0
[D] 83.0
Obj. 73 - Determine a fraction equivalent to a decimal, using a denominator of 10 or 100
162. Which fraction is equal to 0.5?
[A]
50
10
163. Which fraction is equal to 0.18?
[A]
180
10
32
[B]
[B]
500
100
[C]
5
100
[D]
5
10
18
10
[C]
180
100
[D]
18
100
Topic 1 - Number Sense and Operations
Obj. 74 - Determine the decimal number equivalent to a fraction model
1
164. Which decimal number is equal to ?
5
[A] 0.1
[B] 0.2
165. Which decimal number is equal to
[A] 0.05
[C] 0.8
[D] 0.02
[C] 0.025
[D] 0.25
10
?
20
[B] 0.5
Obj. 75 - Compare decimal numbers through the hundredths place
166. Which number sentence is true?
[A] 5.64 < 7.9
[B] 5.64 > 7.9
[C] 5.64 = 7.9
167. Which number sentence is true?
[A] 9.9 < 9.90
[B] 9.9 > 9.90
33
[C] 9.9 = 9.90
Topic 1 - Number Sense and Operations
Obj. 76 - Order decimal numbers through the hundredths place
168. Which list shows the decimals in order from least to greatest?
[A] 4.55, 5.44, 5.45, 5.54
[B] 4.55, 5.44, 5.54, 5.45
[C] 5.44, 5.45, 5.44, 5.54
[D] 5.44, 4.55, 5.45, 5.54
169. Which list shows the decimals in order from greatest to least?
[A] 4.44, 4.54, 0.4, 0.04
[B] 4.54, 4.44, 0.04, 0.4
[C] 4.54, 4.44, 0.4, 0.04
[D] 4.44, 0.4, 4.54, 0.04
Obj. 77 - Use a model to add or subtract decimals
170. 0.57 + 1.33 =
[A] 1.9
[B] 1.91
[C] 1.8
[D] 2.9
[B] 2.02
[C] 2.8
[D] 1.8
171. 2.7 − 0.9 =
[A] 1.98
Obj. 78 - Determine decimal number pairs that total 1 or 10
172. Which pair of decimal numbers has a sum of 1?
[A] 0.36, 0.64
[B] 0.36, 0.54
[C] 0.16, 0.54
34
[D] 0.26, 0.64
Topic 1 - Number Sense and Operations
173. What decimal number should be added to 4.98 to make 10?
?
4.98
10
[A] 4.92
[B] 6.02
[C] 5.02
[D] 5.03
Obj. 79 - Add two decimal numbers through hundredths
174. Add: 2.5 + 6.0
[A] 7.5
[B] 8.4
[C] 9.6
[D] 8.5
175.
6.09
+ 3.05
[A] 9.04
[B] 9.24
[C] 8.14
[D] 9.14
176.
2.9
+ 8.08
[A] 10.98
[B] 11.98
[C] 11.88
[D] 10.88
Obj. 80 - Subtract two decimal numbers through hundredths
177. Subtract: 6.04 − 2.72
[A] 3.12
178. Subtract: 9.7 − 6.23
179.
1312
.
− 6.8
[A] 3.53
[A] 6.32
[B] 3.22
[B] 3.37
[B] 7.72
[C] 3.32
[C] 3.47
[C] 6.42
[D] 2.32
[D] 3.57
[D] 5.32
Obj. 81 - WP: Add or subtract money amounts greater than $1
180. Steve was buying lunch. He bought a small milkshake for $1.10 and a meatball sandwich
for $4.25. How much did Steve spend on lunch?
[A] $5.25
[B] $5.35
[C] $5.46
35
[D] $5.34
Topic 1 - Number Sense and Operations
181. Hadi had $12.55 to spend for his grandfather’s party. He spent $9.05 on a present. How
much did Hadi have left to buy a card?
[A] $3.50
[B] $3.40
[C] $4.60
[D] $2.50
Obj. 82 - WP: Solve a money problem involving 2 steps
182. Moki bought 2 folders. Each folder cost $2.04. He gave the cashier $5.00. How much
change should Moki get?
[A] $7.04
[B] $4.08
[C] $0.92
[D] $2.96
183. Dot bought two boxes of golf balls. She gave the cashier $20.00 and got $1.70 change.
How much was each box of golf balls?
[A] $9.15
[B] $18.30
[C] $14.57
[D] $16.60
Obj. 83 - WP: Add or subtract decimal numbers of the same place through hundredths
184. The record time for the 100-meter race at Aba’s school is 14.45 seconds. Aba ran the 100meter race in 12.13 seconds. How many seconds did Aba beat the school record by?
[A] 2.42 seconds
[B] 2.22 seconds
[C] 2.33 seconds
[D] 2.32 seconds
185. Jamil’s class was studying plant growth. They measured the length of a plant stem. After
one week, the stem was 4.3 centimeters long. The stem grew 0.6 centimeters in the second
week. How long was the stem at the end of the second week?
[A] 3.9 cm
[B] 4.0 cm
[C] 4.9 cm
[D] 4.8 cm
Obj. 84 - Round a decimal number to a specified place through hundredths
186. Round 38.53 to the nearest tenth.
[A] 38.6
[B] 38.5
[C] 40
[D] 39
187. Round 278.886 to the nearest tenth.
[A] 278.8
[B] 278.9
[C] 278.89
36
[D] 280
Topic 1 - Number Sense and Operations
Obj. 85 - Estimate a decimal number sum or difference by rounding to whole numbers
188. Estimate by rounding each decimal number to the nearest whole number: 6.27 + 5.70
[A] 13
[B] 11
[C] 12
[D] 14
189. Estimate by rounding each decimal number to the nearest whole number: 6.34 − 191
. .
[A] 5
[B] 6
[C] 3
[D] 4
Obj. 86 - WP: Multiply a money amount by a 1-digit number
190. Safa wants to call her brother in Italy. The call will cost $0.50 per minute. How much will
the call cost if Safa calls for 8 minutes?
[A] $4.00
[B] $5.00
[C] $3.20
[D] $3.60
191. Kate collects model cars. A toy shop is selling model cars for $15.80 each. Kate wants to
buy 5 cars. How much would she pay?
[A] $78.90
[B] $77.00
[C] $75.00
[D] $79.00
Obj. 87 - WP: Divide a money amount by a 1-digit number
192. Oren paid $2.20 for 5 cans of carrots. How much did each can of carrots cost?
[A] $0.44
[B] $4.40
[C] $0.34
[D] $11.00
193. Lily made scones for a school bake sale. Lily sold packets of 4 scones for $3.20. How
much did Lily sell each scone for?
[A] $0.08
[B] $8.00
[C] $0.90
[D] $0.80
Obj. 88 - Evaluate a numeric expression involving two operations
194. What is the value of 3 + 9 × 8?
[A] 20
[B] 75
[C] 33
[D] 96
195. What is the value of 35 − 5 + 2?
[A] 28
[B] 31
[C] 32
[D] 38
196. What is the value of 99 − 90 ÷ 9?
[A] 2
[B] 90
[C] 1
[D] 89
37
Topic 2 - Algebra
Obj. 89 - Solve a 1-step addition or subtraction equation using a model
1. What is the value of x?
x
700
800
x + 700 = 800
[B] x = 100
[A] x = 1,500
2. What is the value of x?
x
[C] x = 200
[A] x = 50
[B] x = 80
[D] x = 1,600
[C] x = 70
[D] x = 40
20
60
60 − x = 20
Obj. 90 - Identify a missing term in a multiplication or a division number pattern
3. What number is missing in the pattern?
7, 21, 63, _____ , 567
[A] 189
[B] 190
[C] 66
[D] 60
4. What number is missing in the pattern?
48, 24, 12, _____ , 3
[A] 14
[B] 5
[C] 6
[D] 10
Obj. 91 - Generate a table of paired numbers based on a rule
5. Which table matches the rule “add 3 to the input number”?
[A]
Input
7 11 13 14
Output 10 14 16 17
[B]
Input 10 14 16 17
Output 7 11 13 14
[C]
Input 10 16 18 19
Output 7 11 13 14
[D]
Input
7 11 13 14
Output 12 16 18 17
38
Topic 2 - Algebra
6. Which table matches the rule “multiply the input number by 10”?
[A]
Input
4 6 7 9
Output 32 48 56 72
[B]
Input 40 60 70 90
Output 4 6 7 9
[C]
Input
4 6 7 9
Output 40 60 70 90
[D]
Input 32 48 56 72
Output 4 6 7 9
Obj. 92 - Determine a rule that relates two variables
7. Which rule can be used to find the output numbers in this table?
Input
4
9
10
11
12
Output
20
45
50
55
60
[A] Multiply the input number by 3.
[B] Add 60 to the input number.
[C] Divide the input number by 5.
[D] Multiply the input number by 5.
8. Which rule can be used to find the output numbers in this table?
Input
Output
63
7
72
8
81
9
99
11
[A] Multiply the input number by 9.
[B] Divide the input number by 9.
[C] Multiply the input number by 7.
[D] Add 56 to the input number.
39
Topic 2 - Algebra
Obj. 93 - Extend a number pattern in a table of related pairs
9. What number completes this table?
[A] 39
[B] 42
[C] 45
[D] 48
[A] 43
[B] 7
[C] 46
[D] 33
Input
5 9 11 15
Output 15 27 33 ?
10. What number completes this table?
Input 31 37 40 46
Output 18 24 27 ?
40
Topic 3 - Geometry and Measurement
Obj. 94 - Measure length to the nearest eighth of an inch
1. How long is this rectangle to the nearest eighth inch?
[A] 3
1
inches
2
[B] 2
3
inches
8
[C] 2
1
inches
2
[D] 2
5
inches
8
1
inches
2
[D] 2
1
inches
2
2. How long is this rectangle to the nearest eighth inch?
[A] 2
5
inches
8
[B] 3
5
inches
8
[C] 3
Obj. 95 - Measure length to the nearest millimeter
3. How long is this bar to the nearest millimeter?
[A] 10 mm
[B] 15 mm
[C] 13 mm
41
[D] 18 mm
Topic 3 - Geometry and Measurement
4. How long is this bar to the nearest millimeter?
[A] 87 mm
[B] 83 mm
[C] 77 mm
[D] 73 mm
Obj. 96 - Measure weight in customary units
5. How much do the grapes weigh?
3
[A] 1 pounds
4
1
[B] 1 pounds
2
[C] 2
42
1
pounds
2
[D] 2 pounds
Topic 3 - Geometry and Measurement
6. How much does the bag of rice weigh?
[A] 29.5 ounces
[B] 28.5 ounces
[C] 29 ounces
[D] 30 ounces
[C] 13 pounds
[D] 130 pounds
7. How much weight does the scale show?
[A] 135 pounds
[B] 140 pounds
43
Topic 3 - Geometry and Measurement
Obj. 97 - Measure weight in metric units
8. A letter is lying in the tray of this scale. How much does the letter weigh?
[A] 13 g
[B] 16 g
[C] 14 g
[D] 12 g
9. The scale shows the weight of a miniature horse. How much does the horse weigh?
[A] 90 kg
[B] 95 kg
[C] 85 kg
44
[D] 88 kg
Topic 3 - Geometry and Measurement
10. Camilla is training a Labrador retriever puppy as a guide dog. The scale shows how much
the puppy weighs. How much does the puppy weigh?
[A] 31 kg
[B] 28 kg
[C] 29 kg
[D] 27 kg
Obj. 98 - Convert between inches, feet, and yards
11. 6 feet =
inches
12. 24 inches =
feet
[A] 72
[B] 84
[C] 18
[D] 216
[A] 288
[B] 2
[C] 1
[D] 6
Obj. 99 - Convert between customary units of capacity using whole numbers
13. 14 pints =
quarts
[A] 7
[B] 70
[C] 28
[D] 8
14. 6 quarts =
pints
[A] 24
[B] 3
[C] 12
[D] 9
Obj. 100 - Convert between customary units of weight using whole numbers
15. 3 pounds =
16. 18,000 pounds =
ounces
tons
[A] 30
[B] 48
[C] 15
[D] 12
[A] 18
[B] 36
[C] 14
[D] 9
45
Topic 3 - Geometry and Measurement
Obj. 101 - WP: Add or subtract compound units of length requiring customary unit
conversion using whole numbers
17. A tailor uses 71 yards 1 foot of thread from a spool holding 110 yards of thread. How much
thread is still on the spool?
[A] 39 yards 2 feet
[B] 29 yards 9 feet
[C] 38 yards 2 feet
[D] 48 yards 9 feet
18. The height from the ground to the second floor of a two-story house is 9 feet 10 inches. The
height from the second floor to the top of the roof is 15 feet 10 inches. What is the total
height of the house?
[A] 25 feet 8 inches
[B] 26 feet
[C] 25 feet
[D] 24 feet 8 inches
Obj. 102 - WP: Calculate elapsed time within an hour given two clocks
19. Mala played a game. The clocks show when the game started and when it ended. How long
did Mala spend playing the game?
Time the Game Started
11
12
1
10
11
2
9
3
8
4
7
6
[A] 8 minutes
Time the Game Ended
5
12
1
10
2
9
3
8
4
7
6
5
[B] 35 minutes
[C] 40 minutes
46
[D] 9 minutes
Topic 3 - Geometry and Measurement
20. Norma’s mother drove her to school. The clocks show the time she left home and the time
she arrived at school. How long did it take her mother to drive her to school?
Left Home
11
12
Arrived at School
1
10
11
2
9
3
8
4
7
6
1
10
2
9
3
8
5
4
7
[A] 15 minutes
12
6
5
[B] 2 minutes
[C] 16 minutes
[D] 3 minutes
Obj. 103 - WP: Determine the start time given the end time on a clock and the elapsed time
within an hour
21. Some children played basketball for 40 minutes. The clock shows that they finished playing
at 12:50. At what time did they start playing?
11
12
1
10
2
9
3
8
4
7
[A] 12:15
6
5
[B] 12:10
[C] 12:40
47
[D] 12:45
Topic 3 - Geometry and Measurement
22. A game of tag ended at 3:55, as shown on the clock. The game lasted for 43 minutes. What
time did it start?
11
12
1
10
2
9
3
8
4
7
6
5
[A] 3:15
[B] 3:12
[C] 3:43
[D] 4:38
Obj. 104 - Calculate elapsed time exceeding an hour without regrouping
23. How much time has passed?
Start time: 6:19 p.m.
End time: 9:39 p.m.
[A] 4 hours 20 minutes
[B] 3 hours 58 minutes
[C] 3 hours 10 minutess
[D] 3 hours 20 minutes
24. How much time has passed?
Start time: 2:36 a.m.
End time: 3:44 a.m.
[A] 2 hours 20 minutes
[B] 5 hours 8 minutes
[C] 1 hour 8 minutes
[D] 6 hours 20 minutes
Obj. 105 - Calculate elapsed time exceeding an hour with regrouping
25. How much time has passed?
Start time: 1:51 p.m.
End time: 4:06 p.m.
[A] 5 hours 57 minutes
[B] 2 hours 15 minutes
[C] 3 hours 57 minutes
[D] 1 hour 15 minutes
48
Topic 3 - Geometry and Measurement
26. How much time has passed?
Start time: 3:41 a.m.
End time: 8:03 a.m.
[A] 5 hours 22 minutes
[B] 11 hours 44 minutes
[C] 4 hours 22 minutes
[D] 5 hours 44 minutes
Obj. 106 - WP: Calculate elapsed time exceeding an hour without regrouping hours
27. Tamsyn left a dog show at 4:52 p.m. She had been there since 2:10 p.m. How much time did
she spend at the dog show?
[A] 2 hours 42 minutes
[B] 1 hour 32 minutes
[C] 2 hours 52 minutes
[D] 1 hour 42 minutes
28. Vicky worked on her coin collection. She began working at 9:25 a.m. She finished working
at 11:42 a.m. How long did she work on the collection?
[A] 2 hour 23 minutes
[B] 1 hour 23 minutes
[C] 1 hour 17 minutes
[D] 2 hours 17 minutes
Obj. 107 - WP: Calculate elapsed time exceeding an hour with regrouping hours
29. On Sunday the school held a piano recital. The recital began at 5:22 p.m. and it ended at
8:03 p.m. How long did the piano recital last?
[A] 3 hours 7 minutes
[B] 2 hours 41 minutes
[C] 2 hours 51 minutes
[D] 3 hours 3 minutes
30. Habib entered the library at 12:23 p.m. on Saturday. He left the library at 2:22 p.m. How
long was Habib at the library on Saturday?
[A] 2 hours 22 minutes
[B] 1 hour 49 minutes
[C] 2 hours 1 minute
[D] 1 hour 59 minutes
49
Topic 3 - Geometry and Measurement
Obj. 108 - WP: Determine the end time given the start time and the elapsed time exceeding
an hour
31. Tai began tennis practice at 7:30 a.m. He practiced for 4 hours 56 minutes. What time did
Tai finish tennis practice?
[A] 11:16 a.m.
[B] 11:26 a.m.
[C] 12:26 p.m.
[D] 12:36 p.m.
32. Paul started his homework at 2:30 p.m. He finished 1 hour 53 minutes later. What time did
Paul finish his homework?
[A] 4:38 p.m.
[B] 4:23 p.m.
[C] 3:53 p.m.
[D] 3:23 p.m.
Obj. 109 - WP: Determine the start time given the end time and the elapsed time exceeding
an hour
33. A plumber finished a repair job at 4:20 p.m. after working on it for 2 hours 42 minutes.
When did she start the repair?
[A] 2:22 p.m.
[B] 1:28 p.m.
[C] 2:38 p.m.
[D] 1:38 p.m.
34. Mr. Davies ran the marathon in 3 hours 42 minutes. He finished the marathon at 12:02 p.m.
What time did he start the marathon?
[A] 8:20 a.m.
[B] 9:40 a.m.
[C] 7:20 a.m.
[D] 8:10 a.m.
Obj. 110 - Read a timetable to answer questions
35. How many more hours is Brightfield Center open on Friday than on Sunday?
Location
Northgate Park
City Zoo
Brightfield Center
Crystal Lake
[A] 1 hour 30 minutes
Days
Mon - Sun
Mon - Fri
Sat - Sun
Mon -Sat
Sun
Mon - Sun
Open
9:00 a.m.
9:30 a.m.
10:30 a.m.
9:00 a.m.
10:00 a.m.
9:30 a.m.
[B] 2 hours
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.
[C] 30 minutes
50
[D] 1 hour
Topic 3 - Geometry and Measurement
36. The schedule shows the times for Saturday classes at the community center. Which class is
the longest?
Class
Begin
End
Swimming 9:30 a. m. 10:20 a.m.
Painting 10:30 a.m. 11:40 a.m.
Dancing 11:50 a.m. 12:50 p.m.
Cooking
1:15 p.m. 2:05 p.m.
[A] painting
[B] swimming
[C] dancing
[D] cooking
Obj. 111 - WP: Add time intervals involving hours and minutes
37. Roberto’s band is playing in a concert on Monday night. On Saturday, they practiced for
4 hours 50 minutes. On Sunday, they practiced for 7 hours 50 minutes. How long did
Roberto’s band practice during the two days?
[A] 12 hours 50 minutes
[B] 12 hours 55 minutes
[C] 11 hours 40 minutes
[D] 12 hours 40 minutes
38. Erika spent 45 minutes swimming and 1 hour 35 minutes playing volleyball on Sunday.
How long did Erika swim and play volleyball on Sunday?
[A] 1 hour 20 minutes
[B] 1 hour 35 minutes
[C] 2 hours 35 minutes
[D] 2 hours 20 minutes
51
Topic 3 - Geometry and Measurement
Obj. 112 - Solve an elapsed-time problem using a calendar
39. What is the date 6 weeks before February 26?
JANUARY
FEBRUARY
Sun Mon Tues Wed Thurs Fri
Sat
1
2
Sun Mon Tues Wed Thurs Fri
Sat
1
2
3
4
5
6
3
4
5
6
7
8
9
7
8
9
10
11
12
13
10
11
12
13
14
15
16
14
15
16
17
18
19
20
17
18
19
20
21
22
23
21
22
23
24
25
26
27
25
26
27
28
29
30
28
24
31
[A] January 14
[B] January 15
[C] January 22
[D] January 16
40. What is the date 9 days after October 25?
OCTOBER
NOVEMBER
Sun Mon Tues Wed Thurs Fri
Sat
1
2
3
4
5
Sun Mon Tues Wed Thurs Fri
Sat
1
2
6
7
8
9
10
11
12
3
4
5
6
7
8
9
13
14
15
16
17
18
19
10
11
12
13
14
15
16
20
21
22
23
24
25
26
17
18
19
20
21
22
23
27
28
29
30
31
24
25
26
27
28
29
30
[B] November 5
[C] November 10
[A] November 3
52
[D] November 2
Topic 3 - Geometry and Measurement
Obj. 113 - WP: Determine temperature change given a picture of thermometers
41. The first thermometer shows the temperature of a pot of soup. The second thermometer
shows the temperature at which the soup will boil. How many degrees does the temperature
of the soup have to go up for it to start boiling?
°F
220°
220°
210°
210°
200°
200°
190°
190°
180°
[A] 11 degrees
°F
180°
[B] 30 degrees
[C] 21 degrees
[D] 40 degrees
42. The first thermometer shows the temperature at which cooked chicken can be safely stored.
The second thermometer shows the temperature of a piece of cooked chicken. How many
degrees does the temperature of the cooked chicken have to drop before it can be safely
stored?
°F
90°
90°
80°
80°
70°
70°
60°
60°
50°
50°
40°
40°
30°
[A] 71 degrees
°F
30°
[B] 74 degrees
[C] 27 degrees
53
[D] 37 degrees
Topic 3 - Geometry and Measurement
Obj. 114 - Determine the perimeter of a rectangle given a picture showing length and width
43. What is the perimeter of the rectangle?
18 cm
14 cm
[A] 64 cm
[B] 32 cm
[C] 54 cm
[D] 252 cm
[C] 270 feet
[D] 4,490 feet
44. What is the perimeter of the rectangle?
75 feet
60 feet
[A] 4,500 feet
[B] 135 feet
54
Topic 3 - Geometry and Measurement
Obj. 115 - WP: Determine the perimeter of a rectangle given a picture showing length and
width
45. A fence is going to be built around this lot.
31 yards
22 yards
How long must the fence be?
[A] 106 yards
[B] 104 yards
[C] 682 yards
[D] 53 yards
46. This exercise mat is made to clip to other mats on the floor. The number of clips needed
depends on the mat’s perimeter.
146 cm
62 cm
What is the perimeter of the mat?
[A] 406 cm
[B] 416 cm
[C] 436 cm
[D] 434 cm
Obj. 116 - WP: Determine the perimeter of a square or rectangle
47. A rectangular desktop is 28 inches wide and 68 inches long. The edges of the desktop will
be trimmed with special wood. How many inches of trim are needed?
[A] 192 inches
[B] 202 inches
[C] 149 inches
55
[D] 96 inches
Topic 3 - Geometry and Measurement
48. Morgan is going to glue a piece of ribbon to the front of a square greeting card. Each side of
the card is 15 centimeters long. How long must the ribbon be if it is to go along all the sides
of the front of the card?
[A] 225 cm
[B] 30 cm
[C] 45 cm
[D] 60 cm
Obj. 117 - Determine the missing side length of a rectangle given a side length and the
perimeter
49. The perimeter of a rectangle is 38 centimeters. The length of the rectangle is 11 centimeters.
How wide is the rectangle?
11 cm
[A] 5 cm
[B] 9 cm
[C] 8 cm
[D] 27 cm
50. The perimeter of a rectangle is 70 meters. The width of the rectangle is 10 meters. How long
is the rectangle?
10 m
[A] 60 m
[B] 25 m
[C] 30 m
[D] 35 m
Obj. 118 - Determine the area of a rectangle given a picture showing the length and width
51. What is the area of the rectangle?
8 feet
21 feet
[A] 29 square feet
[B] 58 square feet
[C] 168 square feet
56
[D] 126 square feet
Topic 3 - Geometry and Measurement
52. What is the area of the rectangle?
22 inches
25 inches
[A] 94 square inches
[B] 72 square inches
[C] 500 square inches
[D] 550 square inches
Obj. 119 - Determine the area of a rectangle given the length and width
53. A rectangle is 12 feet long and 9 feet wide. Find its area.
[A] 117 square feet
[B] 108 square feet
[C] 42 square feet
[D] 21 square feet
54. A rectangle is 19 feet long and 8 feet wide. Find its area.
[A] 152 square feet
[B] 144 square feet
[C] 54 square feet
[D] 27 square feet
Obj. 120 - WP: Determine the area of a rectangle
55. The number of desks that can fit in a classroom depends partly on the size of the desktops.
The top of a desk is shown below.
17 inches
20 inches
What is the area of one desktop?
[A] 84 square inches
[B] 74 square inches
[C] 340 square inches
[D] 330 square inches
57
Topic 3 - Geometry and Measurement
56. The number of cattle that a pasture can hold depends on its area. A rectangular pasture is
88 yards by 44 yards. What is the area of the pasture?
[A] 3,872 square yards
[B] 262 square yards
[C] 264 square yards
[D] 3,871 square yards
Obj. 121 - Determine the missing side length of a rectangle given a side length and the area
57. The area of a rectangle is 63 square inches. The rectangle is 9 inches long. How wide is the
rectangle?
[A] 54 inches
[B] 7 inches
[C] 4 inches
[D] 23 inches
58. The area of a rectangle is 128 square centimeters. The rectangle is 8 centimeters wide. How
long is the rectangle?
[A] 8 cm
[B] 120 cm
[C] 16 cm
[D] 56 cm
Obj. 122 - Estimate the area of an irregular polygon on a grid
59. Which measurement is a reasonable estimate of the area of the figure below?
[A] 5 to 7 square units
[B] 14 to 16 square units
[C] 8 to 10 square units
[D] 11 to 13 square units
58
Topic 3 - Geometry and Measurement
60. Which measurement is a reasonable estimate of the area of the figure below?
[A] 20 to 22 square units
[B] 11 to 13 square units
[C] 14 to 16 square units
[D] 17 to 19 square units
Obj. 123 - Determine the volume of an object composed of rectangular prisms by counting
units
61. The solid shape below was made with blocks that each have a volume of 1 cubic inch. There
are no hidden holes in the figure. What is the volume of the shape?
[A] 18 in 3
[B] 15 in 3
[C] 12 in 3
[D] 27 in 3
62. The solid shape below was made with blocks that each have a volume of 1 cubic inch. There
are no hidden holes in the figure. What is the volume of the shape?
[A] 26 in 3
[B] 19 in 3
[C] 18 in 3
59
[D] 22 in 3
Topic 3 - Geometry and Measurement
Obj. 124 - Classify an angle given a picture
63. What type of angle is shown?
[A] right angle
64. What type of angle is shown?
[A] obtuse angle
[B] obtuse angle
[C] acute angle
[B] acute angle
[C] right angle
Obj. 125 - Associate degrees with a turn on a circle
65. How many degrees did the wheel turn?
[A] 360°
[B] 270°
[C] 180°
60
[D] 90°
Topic 3 - Geometry and Measurement
66. The circle shows a
[A] 360°
1
1
turn. How many degrees is one
turn?
2
2
[B] 180°
[C] 90°
[D] 200°
Obj. 126 - Identify parallel, perpendicular, and intersecting lines
67. Which picture shows intersecting lines?
[A]
[B]
[C]
[D]
68. Which road is parallel to Peach Road?
[A] Maple Road
[B] Fir Street
[C] Jones Avenue
61
[D] Elm Street
Topic 3 - Geometry and Measurement
Obj. 127 - Identify a shape that has parallel or perpendicular sides
69. Which shape has all sides perpendicular to another side?
[A]
[B]
[C]
[D]
70. Which shape has no perpendicular sides but some parallel sides?
[A]
[B]
[C]
[D]
62
Topic 3 - Geometry and Measurement
Obj. 128 - Classify a triangle by its sides
71. What kind of triangle is this?
11 cm
11 cm
6 cm
[A] equilateral triangle
[B] scalene triangle
[C] isosceles triangle
72. What kind of triangle is this?
15 cm
15 cm
12 cm
[A] isosceles triangle
[B] scalene triangle
63
[C] equilateral triangle
Topic 3 - Geometry and Measurement
Obj. 129 - Classify a quadrilateral
73. What type of shape is this?
[A] trapezoid
[B] square
[C] octagon
[D] pentagon
[C] trapezoid
[D] pentagon
74. What type of shape is this?
[A] parallelogram
[B] octagon
64
Topic 3 - Geometry and Measurement
Obj. 130 - Identify congruent translated, reflected, or rotated shapes
75. One of the shapes is congruent to figure A. Which shape is it?
Figure A
[A]
[B]
[C]
[D]
65
Topic 3 - Geometry and Measurement
76. One of the shapes is congruent to figure 1 below. Which shape is it?
Figure 1
[A]
[B]
[C]
[D]
Obj. 131 - Identify similar shapes
77. Which pair of figures is similar?
[A]
[B]
[C]
[D]
66
Topic 3 - Geometry and Measurement
78. Which figure appears to be similar to the one shown?
[A]
[B]
[C]
[D]
Obj. 132 - Identify a figure that has reflectional or rotational symmetry
79. One of these shapes has reflectional symmetry. Which shape can it be?
[A]
[B]
[C]
[D]
80. One of these shapes has rotational symmetry. Which shape can it be?
[A]
[B]
[C]
67
[D]
Topic 3 - Geometry and Measurement
Obj. 133 - Determine the result of a flip, a turn, or a slide
81. Which picture shows an example of a slide of the figure?
[A]
[B]
[C]
[D]
82. Which pair of shapes is an example of a flip?
[A]
[B]
[C]
[D]
83. Which pair of shapes shows an example of a turn?
[A]
[B]
[C]
[D]
Obj. 134 - Determine the result of a quarter or a half turn
84. Javier was facing south. He made a
1
turn in the direction of the arrows on the picture
2
below.
Which way was Javier facing after he turned?
[A] east
[B] south
[C] north
68
[D] west
Topic 3 - Geometry and Measurement
85. The game piece below makes a
1
turn in the direction of the arrows.
2
Which figure shows the way the game piece is pointing after the turn?
[A]
[B]
[C]
[D]
Obj. 135 - Determine a path or location on a grid using compass directions
86. Start at point A. Go 0 units east then 7 units north. The end location is at point B. Which
grid shows this path?
A
[A]
[B]
B
A
B
A
[C]
[D]
A
B
B
A
69
Topic 3 - Geometry and Measurement
87. Which words describe a path from point O to point W?
W
O
[A] Go east 5 units, then north 12 units.
[B] Go east 6 units, then north 8 units.
[C] Go east 5 units, then north 7 units.
[D] Go east 7 units, then north 5 units.
Obj. 136 - Identify the location of an ordered pair in the first quadrant using compass
directions
88. Which grid shows point B at the location 1 east and 5 north?
[A]
10
9
8
7
6
5
4
3
2
1
0
[C]
[B]
North
10
9
8
7
6
5
4
3
2
1
B
1 2 3 4 5 6 7 8 9 10
East
0
[D]
North
10
9
8
7
6
5
4
3
2
1
0
East
0
70
B
1 2 3 4 5 6 7 8 9 10
East
North
10
9
8
7
6
5
4
3
2
1
B
1 2 3 4 5 6 7 8 9 10
North
B
1 2 3 4 5 6 7 8 9 10
East
Topic 3 - Geometry and Measurement
89. Which grid shows point A at the location 3 east and 0 north?
[A]
10
9
8
7
6
5
4
3
2
1
0
[C]
[B]
North
10
9
8
7
6
5
4
3
A
2
1
A
1 2 3 4 5 6 7 8 9 10
East
0
[D]
North
10
9
8
7
6
5
4
3
2
1
0
A
1 2 3 4 5 6 7 8 9 10
North
1 2 3 4 5 6 7 8 9 10
East
North
10
9
8
7
6
5
4
A
3
2
1
East
0
71
1 2 3 4 5 6 7 8 9 10
East
Topic 3 - Geometry and Measurement
Obj. 137 - Determine the ordered pair of a point in the first quadrant using compass
directions
90. What is the location of point C?
North
10
9
8
7
6
5
4
3
2
1
0
C
1 2 3 4 5 6 7 8 9 10
East
b2 East, 8 Northg
b8 East, 1 Northg
[A]
[C]
[B]
[D]
b8 East, 2 Northg
b7 East, 2 Northg
91. What is the location of point Q?
North
10
9
8
7
6
5
4
3
2
1
0
[A]
[C]
Q
1 2 3 4 5 6 7 8 9 10
East
b1 East, 3 Northg
b3 East, 0 Northg
[B]
[D]
72
b0 East, 3 Northg
b4 East, 0 Northg
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 138 - Answer a question using information from a circle graph
1. A group of 24 people were asked to name the season with the greatest number of rainy days.
The circle graph shows the results.
Winter 4
Fall 2
Summer 12
Spring
How many people chose spring?
[A] 6 people
[B] 2 people
[C] 12 people
[D] 4 people
2. A vote was held to choose the captain of the basketball team. The graph shows the results.
Morgan
Marta
Erin
Katie
Who got about twice as many votes as Morgan?
[A] Marta
[B] Erin
[C] Katie
73
[D] no one
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 139 - Read a double-bar graph
3. Omar wrote down how long he spent studying math and how long he spent drawing each
week. He made the graph below.
Time Omar Spent on Activities
10
9
8
7
Number 6
of
5
Hours 4
3
2
1
0
Week 1
Week 2
Week 3
Week 4
studying math
drawing
In what week did Omar spend more than 7 hours studying math?
[A] week 1
[B] week 2
[C] week 3
[D] week 4
4. Kylie asked her classmates to name their favorite types of music. Kylie made the graph
below to show the results.
Favorite Music
20
18
16
14
Number 12
of
10
People 8
6
4
2
0
Jazz
Boys
Girls
Pop
Rock
Type of Music
Hip-Hop
How many girls said pop was their favorite type of music?
[A] 6 girls
[B] 8 girls
[C] 14 girls
74
[D] 16 girls
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 140 - Use a double-bar graph to represent data
5. Children in grade 3 and grade 4 held a picnic to raise money. The table shows how much
money they raised.
Money Raised
Days
Day 1
Day 2
Day 3
Grade 3 Grade 4
$20
$50
$70
$30
$80
$60
Which graph shows these results?
[A]
$100
$90
$80
$70
Amount $60
$50
of
Money $40
$30
$20
$10
$0
[C]
$100
$90
$80
$70
Amount $60
of
$50
Money $40
$30
$20
$10
$0
[B]
Money Raised
Day 1 Day 2
Grade 3
Grade 4
$100
$90
$80
$70
Amount $60
of
$50
Money $40
$30
$20
$10
$0
Day 3
[D]
Money Raised
Day 1 Day 2
Grade 3
Grade 4
$100
$90
$80
$70
Amount $60
of
$50
Money $40
$30
$20
$10
$0
Day 3
75
Money Raised
Day 1 Day 2
Grade 3
Grade 4
Day 3
Money Raised
Day 1 Day 2
Grade 3
Grade 4
Day 3
Topic 4 - Data Analysis, Statistics, and Probability
6. There was a puppet show playing for three nights. On Friday, 100 adults and 40 children
went to the puppet show. On Saturday, 140 adults and 80 children went to the puppet show.
On Sunday, 160 adults and 180 children went to the puppet show. Find the graph that
matches.
[A]
200
180
160
140
Number 120
of
100
People
80
60
40
20
0
People at the Puppet Show
Friday Saturday Sunday
Adults Day
Children
[B]
200
180
160
140
Number 120
of
100
80
People
60
40
20
0
People at the Puppet Show
Friday Saturday Sunday
Adults Day
Children
76
Topic 4 - Data Analysis, Statistics, and Probability
[C]
200
180
160
140
Number 120
of
100
People
80
60
40
20
0
People at the Puppet Show
Friday Saturday Sunday
Adults Day
Children
[D]
200
180
160
140
Number 120
of
100
People
80
60
40
20
0
People at the Puppet Show
Friday Saturday Sunday
Adults Day
Children
(6.)
77
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 141 - Answer a question using information from a double-bar graph
7. Mrs. Alam’s and Ms. Vega’s classes had a reading contest. They made a graph showing
how many books each class read.
Books Read
50
45
40
35
Number 30
of
Books 25
20
15
10
5
Week 1
Week 2
Week 3
Week 4
Mrs. Alam’s Class
Ms. Vega’s Class
In what week did Mrs. Alam’s class read 5 books fewer than Ms. Vega’s class?
[A] week 1
[B] week 2
[C] week 3
[D] week 4
8. Cindy made a graph to show how much she swam and walked in four weeks.
Cindy’s Weekly Exercise
180
160
140
Number 120
of 100
Minutes 80
60
40
20
0
Week 1
Week 2
Week 3
Week 4
Swimming
Walking
How many fewer minutes did Cindy swim in week 1 than in week 2?
[A] 140 minutes
[B] 120 minutes
[C] 100 minutes
78
[D] 80 minutes
Topic 4 - Data Analysis, Statistics, and Probability
Obj. 142 - Answer a question using information from a table
9. Mr. and Mrs. Walker took their 3 grandchildren to the fair. The admission prices are shown
below.
Admission Prices
Children
$4.50
Adults
$7.50
Adults over
65
$5.50
How much did tickets cost for 3 children and 2 adults over 65?
[A] $13.50
[B] $24.50
[C] $36.00
[D] $26.50
10. Tala wants to rent some videos. The weekly rental fees are shown below.
Weekly Rental Fees
CD
Video
DVD
Video Game
$2.00
$2.50
$350
.
$5.00
How much would Tala pay to rent 5 videos for one week?
[A] $17.50
[B] $10.50
[C] $12.50
[D] $13.00
Obj. 143 - List possible outcomes of a simple event
11. Nicolette picks a letter from the letters in the word MISSOURI. What are all the different
possible letters Nicolette can pick?
[A] M, I, Z, O, U
[B] M, I, S, S, O
[C] M, I, S, U
79
[D] M, I, S, O, U, R
Topic 4 - Data Analysis, Statistics, and Probability
12. Diego saw some numbers on a paper. He covered up one of the numbers. Which list shows
all the combinations of numbers that could be left?
[A] 2, 4, and 6
2, 6, and 6
4, 6, and 6
[B] 2, 6, and 6
4, 6, and 6
[C] 2, 4, and 6
80
[D] 2 and 6
4 and 6
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