iLEAP Prep
Grade 6 Mathematics
by Jonathan D. Kantrowitz
Edited by Ralph R. Kantrowitz
Item Code RAS3401 • Copyright © 2008 Queue, Inc.
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Table of Contents
Louisiana Mathematics Grade Level Expectations – Grade 6
Number and Number Relations
Pages/
Problem #’s
Pages 1–33
Problems
1–20
GLE 1.
Factor whole numbers into primes.
GLE 2.
Determine common factors and common multiples for pairs of
whole numbers.
GLE 3.
Find the greatest common factor (GCF) and least common
multiple (LCM) for whole numbers in the context of problemsolving.
Problems
29–60
GLE 4.
Recognize and compute equivalent representations of fractions
and decimals.
Problems
61–80
GLE 5.
Decide which representation (i.e., fraction or decimal) of a
positive number is appropriate in a real-life situation.
Problems
81–85
GLE 6.
Compare positive fractions, decimals, and positive and negative
integers using symbols (i.e., <, =, >) and number lines.
Problems
86–128
GLE 7.
Read and write numerals and words for decimals through
ten-thousandths.
Problems
129–136
GLE 8.
Demonstrate the meaning of positive and negative numbers and
their opposites in real-life situations.
Problems
137–144
GLE 9.
Add and subtract fractions and decimals in real-life situations.
Problems
145–173
GLE 10.
Use and explain estimation strategies to predict computational
results with positive fractions and decimals.
Problems
174–178
GLE 11.
Mentally multiply and divide by powers of 10.
Problems
179–186
GLE 12.
Divide 4-digit numbers by 2-digit numbers with the quotient
written as a mixed number or a decimal.
Problems
187–202
GLE 13.
Use models and pictures to explain concepts or solve problems
involving ratio, proportion, and percent with whole numbers.
Problems
203–208
Problems
21–28
Algebra
Pages 34–51
GLE 14.
Model and identify perfect squares up to 144.
Problems
209–217
GLE 15.
Match algebraic equations and expressions with verbal
statements and vice versa.
Problems
218–246
GLE 16.
Evaluate simple algebraic expressions using substitution.
GLE 17.
Find solutions to 2-step equations with positive integer
solutions.
Measurement
Problems
247–272
Problems
273–320
Pages 52–58
GLE 18.
Measure length and read linear measurements to the nearest
sixteenth-inch and mm.
GLE 19.
Calculate perimeter and area of triangles, parallelograms, and
trapezoids.
Problems
321–336
GLE 20.
Calculate, interpret, and compare rates such as $/lb., mpg, and
mph.
Problems
337–342
GLE 21.
Demonstrate an intuitive sense of relative sizes of common units
for length and area of familiar objects in real-life problems.
GLE 22.
Estimate perimeter and area of any 2-dimensional figure
(regular and irregular) using standard units.
GLE 23.
Identify and select appropriate units to measure area.
Geometry
N/A
N/A
Pages 59–77
GLE 24.
Use mathematical terms to describe the basic properties of
3-dimensional objects (edges, vertices, faces, base, etc.).
Problems
343–363
GLE 25.
Relate polyhedra to their 2-dimensional shapes by drawing or
sketching their faces.
Problems
364–367
GLE 26.
Apply concepts, properties, and relationships of points, lines, line
segments, rays, diagonals, circles, and right, acute, and obtuse
angles and triangles in real-life situations, including estimating
sizes of angles.
Problems
368–388
GLE 27.
Make and test predictions regarding tessellations with geometric
shapes.
Problems
389–398
GLE 28.
Use a rectangular grid and ordered pairs to plot simple shapes
and find horizontal and vertical lengths and area.
Problems
399–423
Data Analysis, Probability, and Discrete Math
GLE 29.
Collect, organize, label, display, and interpret data in frequency
tables, stem-and-leaf plots, and scatter plots and discuss
patterns in the data verbally and in writing.
Pages 78–112
Problems
424–452
GLE 30.
Describe and analyze trends and patterns observed in graphic
displays.
GLE 31.
Demonstrate an understanding of precision, accuracy, and error
in measurement.
Problems
453–464
GLE 32.
Calculate and discuss mean, median, mode, and range of a set of
discrete data to solve real-life problems.
Problems
465–496
GLE 33.
Create and use Venn diagrams with two overlapping categories
to solve counting logic problems.
Problems
497–498
GLE 34.
Use lists, tree diagrams, and tables to determine the possible
combinations from two disjoint sets when choosing one item from
each set.
Problems
499–502
GLE 35.
Illustrate and apply the concept of complementary event.
GLE 36.
Apply the meaning of equally likely and equally probable to
real-life situations.
Patterns, Relations, and Functions
Problems
503–506
Pages 113–120
GLE 37.
Describe, complete, and apply a pattern of differences found in
an input-output table.
Problems
507–511
GLE 38.
Describe patterns in sequences of arithmetic and geometric
growth and now-next relationships (i.e., growth patterns where
the next term is dependent on the present term) with numbers
and figures.
Problems
512–527
Number and Number Relations – GLE 1
Determine the prime factors of the following numbers, and write the numbers as the
product of their prime factors. Use exponents to show multiples of a factor.
2
(Example: 28 = 2 x 2 x 7 = 2 x 7)
1.
34 =
6.
372 =
2.
110 =
7.
423 =
3.
144 =
8.
507 =
4.
212 =
9.
584 =
5.
275 =
10.
300 =
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Number and Number Relations – GLE 3
37.
Martha wants to subtract seveneighths and two-thirds. Which of
the following numbers is the least
common denominator?
39.
A. 32
B. 16
C. 48
D. 24
38.
A. 64
B. 45
C. 35
D. 60
Determine the greatest common
factor of 34 and 187.
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Felipe wants to add two fractions.
The fractions are three-fifths and
seven-ninths. Which of the
following numbers should be the
common denominator for these
two fractions?
40.
5
Determine the greatest common
factor of 27 and 153.
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Number and Number Relations – GLE 8
139. On the coldest day of the year last year, the temperature was 10°F at 3:00 p.m.
At 9:00 that evening, the temperature was 20° colder than it was at 3:00 p.m.
Which of the following thermometers shows the temperature at 9:00 p.m.?
A.
C.
B.
D.
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20
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A l g e b r a – G L E 16
y = 25 - 4x
261.
y = 3x ( 7x - 8)
In the above equation, what
would be the value of y if x
has a value of 6?
263.
The formula for converting Fahrenheit
degrees to Celsius degrees is shown
below.
6(3y - 5z)
262. What is the value of the above
expression if y = 6.2 and z = 3.1?
C = 5/9(F - 32)
A. 34.1
B. 18.6
C. 23.7
D. 10.8
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In the above equation, what
would be the value of y if x
has a value of 10?
264. What would be the Celsius
equivalent of 86°F?
45
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Geometry – GLE 28
412. On the above grid, draw a figure with the coordinates of the vertices as follows:
(3, 3), (9, 3), and (6, 9)
413. What is the horizontal length?
_____________________
414. What is the vertical length?
_____________________
415. What is the area?
_____________________
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D a t a A n a l y s i s , P r o b a b i l i t y, a n d D i s c r e t e M a t h – G L E 2 9 - 3 0
426. Which of the following tables BEST reflects the information in the above
double-bar graph?
A.
C.
M i d - Te r m E x a m S c o r e s
Subject
Heidi
Amanda
English
89
85
Math
88
Social Studies
90
Science
83
M i d - Te r m E x a m S c o r e s
95
English
95
88
Social Studies
Science
85
90
84
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87
89
90
94
88
85
83
D.
M i d - Te r m E x a m S c o r e s
Math
English
90
Science
B.
Amanda
Amanda
Social Studies
90
Heidi
Heidi
Math
84
Subject
Subject
M i d - Te r m E x a m S c o r e s
83
Subject
Heidi
Amanda
English
85
89
Math
83
Social Studies
90
Science
80
95
84
90
88
90
83
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Patterns, Relations, and Functions – GLE 37
Use the picture below to answer question 507.
507. Mary has a magic number box that follows a rule. When she puts a number
in the box, a new number comes out. What is the rule for Mary’s magic
number box?
A. Add 5.
B. Add 7.
C. Subtract 5.
D. Subtract 7.
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