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Math Concepts Practice for the SSAT Middle Level
Table of Contents
Even & Odd Numbers
4
Bar Graphs
24
Factors | Multiples
5
Circle Graphs
25
Basic Operations
6
Pictographs
26
Order of Operations | Square Roots
7
Line Graphs
27
Fractions
8
Advanced Aptitude Problems
28
Comparing Fractions
9
Converting Decimals, Fractions & Percent 29
Adding & Subtracting Fractions
10
Math Definitions
30
Multiplying Fractions
11
Proportion & Percent Review
31
Fraction Challenge Problems 1
12
Variables
32
Fraction Challenge Problems 2
13
Perimeter
33
Ratio
14
Area
34
Proportion
15
Volume
35
Percent
16
Angle Measurement
36
Averages
17
Decimals
18
Inequalities
19
Practice Test #1
37
Negative Numbers
20
Practice Test #2
47
Sequences & Patterns
21
Practice Test #3
57
Time Problems
22
Practice Test #4
67
Solving Equations
23
Answer Keys
77
Conversion Guide
79
Copyright © 2007 by Kevin Ninomiya
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-1-
SSAT Middle Level MATH Concepts
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Inequalities
1. Which of the following values of makes this statement false?
(A)
(B)
(C)
(D)
(E)
–2 < < 4
–3
2
0
3
–1
1 < 2 means “one is less than two”
2 > 1 means “two is greater than one”
=2
2. Using the chart, which of the following is NOT true?
(A) ÷ is greater than (D) – is less than =3
=5
is less than (B)
+
(C)
+
(E) is less than
+
= 10
is greater than 3. If 14 < x + 7 < 16, then x could be
(A)
(B)
(C)
(D)
(E)
15
11
8
7
6
4. If A > B and B > C and D > A, which of the following CANNOT be true?
(A) C = 4 and A = 5
(D) D = 2 and C = 1
(B) B = 7 and D = 6
(E) C = 3 and B = 9
(C) A = 8 and B = 7
5. Eight times a number is greater than 50, but less than 60. The number could be
(A)
(B)
(C)
(D)
(E)
10
9
8
7
6
(Advanced Problem)
6. If Φ of a number is less than 8, the number must be
(A)
(B)
(C)
(D)
(E)
less than 4
greater than 8
less than 8
greater than 16
less than 16
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SSAT Middle Level MATH Concepts
Bar Graphs
Questions 1-3 refer to the graph.
1. Betty borrowed the same number of books as
(A)
(B)
(C)
(D)
(E)
Alan and Carl
Carl
Alan and Dora
Dora
Carl and Dora
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%RRNV%RUURZHGDWD/LEUDU\
$ODQ%HWW\&DUO'RUD
2. Alan borrowed what percent of the total number of books borrowed?
(A)
(B)
(C)
(D)
(E)
10%
20%
30%
40%
50%
3. Betty, Carl and Dora combined borrowed how many times the number of books Alan borrowed?
(A)
(B)
(C)
(D)
(E)
2
3
4
5
6
Questions 4-6 refer to the graph.
1XPEHURI&'V2ZQHG
4. What is the average number of CDs owned by the five students?
(A)
(B)
(C)
(D)
(E)
)ORUD *HRUJH 1
2
3
4
5
+HOHQ -LP 5. Which student owns one-fifth of the number of CDs accounted
for in the graph?
(A)
(B)
(C)
(D)
(E)
.LQD Flora
George
Helen
Jim
Kina
6. Flora and George combined own what fraction of the number of CDs accounted for in the graph?
(A)
1
5
(B)
2
5
(D)
4
5
(E)
5
5
(C)
3
5
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The three angles of a triangle
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addwww.
up to testtutorhawaii
180 degrees.
SSAT Middle Level MATH Concepts
Angle Measurement
1. What is the measure of angle M in degrees?
(A)
(B)
(C)
(D)
(E)
30
A right angle is equal to
90 degrees.
30
45
60
75
90
M
2. What is the degree measure of x ?
(A)
(B)
(C)
(D)
(E)
35
40
45
50
55
x
7
7
A
3. The measure of angle A is
(A)
(B)
(C)
(D)
(E)
40 degrees
80 degrees
100 degrees
70 degrees
30 degrees
70
30
B
C
4. If the measure of angle x is 50 degrees, then the measure of angle y is
(A)
(B)
(C)
(D)
(E)
45 degrees
35 degrees
50 degrees
30 degrees
40 degrees
x
x + y = 180
y
x
The sum of the angles that
make up a straight angle is
180 degrees.
5. What is the value of x, in degrees?
x
(A)
(B)
(C)
(D)
(E)
50
80
140
60
40
140{
6. In the figure, what is the value of x, in degrees?
(A)
(B)
(C)
(D)
(E)
y
20
25
30
40
50
x
x
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100{
SSAT MATH – Practice Test #2
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16. If x represents the greatest odd multiple of 7 less than 60, and y represents the least even multiple of 9
greater than 20, what is x + y ?
(A)
(B)
(C)
(D)
(E)
71
75
81
85
93
Question 17 refer to the following definition.
For all real numbers F,
ΩF=(F±4)+7
17. If Ω P = 39 , then P =
(A)
(B)
(C)
(D)
(E)
7
8
9
16
28
18. Nineteen years ago, the sum of the ages of Katie and her twin sister was 54. How old is Katie now?
(A)
(B)
(C)
(D)
(E)
46
44
48
45
47
19. The table shows a pattern between the number of squares made
and the number of toothpicks used. How many toothpicks are needed
to make 10 squares?
!
"! (A)
(B)
(C)
(D)
(E)
29
30
31
32
33
20. Of the following, 25 percent of $16.95 is closest to
(A)
(B)
(C)
(D)
(E)
$4.50
$4.00
$4.75
$3.75
$4.25
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