High School Placement Test: Quantitative Skills

High School
Placement Test:
Quantitative Skills

Example A
Look at this series: 1,3,5,7,9, .... What numeral should come next?
a) 7
b) 8
c) 11
d) 13

Example A Solution
Look at this series: 1,3,5,7,9, .... What numeral should come next?
d) 11
This is d because the series increases by +2, so 9+2=11!

Example B
Examine (A), (B), and (C) and find the best answer
a) (B) has more than (A), which has the same as (C).
b) (A), (B), and (C) are equal.
c) (A) has less than (C), which is equal to (B).
d) (B) and (C) have the same

Example B Solution
a) (B) has more than (A), which has the same as (C)
• When in doubt, count
 A: 5 -B:6 -C:5

Example C
What number added to 7 equals 6 times 3?
a) 11
b) 2
c) 18
d) 10

Example C Solution
a) 11
• Write a simple equation!

Example C Solution
a) 11
 𝑥 + 7 = 6 × 3 which would simplify down to 𝑥 + 7 = 18
 Now solve for 𝑥!

Example C Solution
a) 11
 𝑥 + 7 = 6 × 3 which would simplify down to 𝑥 + 7 = 18
 Now solve for 𝑥!
 𝑥 + 7 − 7 = 18 − 7 which simplifies down to 𝑥 = 11
 So the number you are looking for is 11!

Example D
a) (A) is greater than (C).
c) (B) is greater than (C).
d) (A) and (B) are equal
(A) 7 − 2 − 3
(B) 7 − 3 − 2
(C) 7 − 3 − 2

Example D Solution
• Examine (A), (B), and (C) and find the best answer
d) (A) and (B) are equal
Quickly evaluate!
a) 7 − 2 − 3 = 5 − 3 = 2
b) 7 − 3 − 2 = 4 − 2 = 2
c) 7 − 3 − 2 = 7 − 1 = 6
(A) 7 − 2 − 3
(B) 7 − 3 − 2
(C) 7 − 3 − 2

Question 61
What number is 3 more than 20% of 40?
a) 11
b) 8
c) 5
d) 9

Question 61 Solution
a) 11
• First, note that 20% is equivalent to 0.2
• Now write the question as an equation!

a) 11
• First, note that 20% is equivalent to 0.2
• Now write the question as an equation!
 20% of 40 can be written as 40 × 0.2, so the equation would be:
 40 × 0.2 + 3 which can be simplified to:
 40 × 0.2 + 3 = 8 + 3 = 11

Question 62
Look at the series: 32, 39, 46, 53, …
What number should come next?
a) 68
b) 61
c) 59
d) 60

d) 60
• Fill in the blank:
The series ____________ (increases/decreases) by _______.

d) 60
The series increases (increases/decreases) by _______.

d) 60
The series increases (increases/decreases) by 7.
• So you would do:

d) 60
The series increases (increases/decreases) by 7.
 53 + 7 = 60

Question 63
Look at this series: 48, 39, 30, 21, …
a) 17
b) 20
c) 29
d) 12

d) 60
The series ____________ (increases/decreases) by _______.

d) 60
Fill in the blank:
The series decreases (increases/decreases) by _______.

d) 60
The series decreases (increases/decreases) by 9.

d) 60
The series decreases (increases/decreases) by 9.
 21 − 9 = 12

Question 64
Examine (A), (B), and (C) and find the best answer.
a) (A) plus (C) is less than (B)
b) (C) is equal to (A)
c) (A) is greater than (C)
d) (C) is less than (B) and greater than (A)
(A)
(B)
(C)

• First, count the coins!
 A:
 B:
 C:
(A)
(B)
(C)

• First, count the coins!
 A: 2 10¢ = 20¢
 B: 1 25¢ = 25¢
 C: 1 5¢ + 1 10¢ + 1 1¢ = 5¢ + 10¢ + 1¢ = 21¢
(A)
(B)
(C)

Question 65
(A) . 625
(B)
4
7
(C) . 297 × 2.1
a) (B) is less than (A) but greater than (C)
b) (A) and (C) are equal and greater than (B)
c) (C) is greater than (A) and (B)
d) (B) is less than (A) and (C)

(A) . 625
(B)
4
7
(C) . 297 × 2.1
• First, simplify and convert to decimal (since decimals are easier to compare)
(A) .625-No Work Needed
(B) 4
7
(C) .297 × 2.1

(A) . 625
(B)
4
7
(C) . 297 × 2.1
• First, simplify and convert to decimal (since decimals are easier to compare)
• Now, can you figure out which answer is right?
(A) .625-No Work Needed 0.625
(B) 4
7
0. 571428
(C) .297 × 2.1 0.6237

Question 66
What number is the cube of 5 divided by 5?
a) 15
b) 25
c) 75
d) 125

What number is the cube of 5 divided by 5?
b) 25
• This question can sound confusing. But all it is asking you to find is to cube
5 and divide that number by 5.
• It would look like: 53
÷ 5 or
53
5
• The solution:
 53
÷ 5 = 125 ÷ 5 = 25 or
53
5
=
5×5×5
5
= 25

Question 67
What number is
1
2
of the average of 7, 18, 5, 39, 11?
a) 40
b) 5
c) 8
d) 20

What number is
1
2
c) 8
• How do you find the average?

What number is
1
2
c) 8
• How do you find the average?

the sum of all of the numbers
the number of numbers
• So lets get the various parts!
 The sum of all of the numbers: 7 + 18 + 5 + 39 + 11 = 25 + 5 + 50 = 80
 The number of numbers: 5
 The average: 80 ÷ 5 = 16

1
2
of the average: 8

Question 68
a) (A) is more shaded than (B)
b) (B) and (C) are equalily shaded
c) (C) is less shaded than either (A) or (B)
d) (A) and (C) are both less shaded than (B)

• Examine (A), (B), and (C) and find the best answer.
• Count the blocks!
 A:
 B:
 C:

• Examine (A), (B), and (C) and find the best answer.
• Count the blocks!
 A: 2
 B: 4
 C: 3

Question 69
Look at this series: 1, 4, 11, __ , 21, 24, 31, .... What number should fill the
blank in the middle of the series?
a) 3
b) 14
c) 20
d) 22

b) 14
• Draw a chart to help you see the pattern!
1 4 11 ________ 21 24 31

b) 14
+3 +7 ? ? +3 +7
1 4 11 ________ 21 24 31

b) 14
+3 +7 +3 +7 +3 +7
1 4 11 ________ 21 24 31

b) 14
+3 +7 +𝟑 +𝟕 +3 +7
1 4 11 𝟏𝟒 21 24 31

Question 70
(A) 10% of 80
(B) 80% of 10
(C) 10% of 80%
a) (B) is greater than (A) or (C)
b) (A), (B), and (C) are equal
c) (A) is equal to (B) and smaller than (C)
d) (A) is greater than (C)

(A) 10% of 80
(B) 80% of 10
(C) 10% of 80%
d) (A) is greater than (C).
• As we did earlier, let’s convert these into decimals!
• So (A) and (B) equal the same
(A) 10% of 80 0.1 × 80 = 8
(B) 80% of 10 0.8 × 10 = 8
(C) 10% of 80
%
0.1 × 0.8 = 0.08

Question 71
Look at this series: 1, 2, 4, 5, 10, 11, ....
a) 22
b) 12
c) 15
d) 21

a) 22
1 2 4 5 10 11

a) 22
+1 +2 or × 2 +1 × 2 +1
1 2 4 5 10 11

a) 22
+1 × 2 +1 × 2 +1
1 2 4 5 10 11

a) 22
• So the next number will be _________ (+1 or × 2).
+1 × 2 +1 × 2 +1
1 2 4 5 10 11

a) 22
• So the next number will be × 2(+1 or × 2).
• So, 11 × 2 = 22
+1 × 2 +1 × 2 +1
1 2 4 5 10 11

Question 72
Look at this series: 34, 40, 37, 36, 42, 39, 38, .... What three numbers should
come next?
a) 44, 42, 41
b) 43, 40, 39
c) 44, 41, 40
d) 45, 42, 41

come next?
c) 44, 41, 40
34 40 37 36 42 39 38

come next?
c) 44, 41, 40
+6 -3 -1 +6 -3 -1 ? ? ?
34 40 37 36 42 39 38 ? ? ?

come next?
c) 44, 41, 40
+6 -3 -1 +6 -3 -1 +6 -3 -1
34 40 37 36 42 39 38 ? ? ?

come next?
c) 44, 41, 40
+6 -3 -1 +6 -3 -1 +6 -3 -1
34 40 37 36 42 39 38 44 41 40

Question 73
What number subtracted from 30 leaves 7 more than
3
5
of 25?
a) 8
b) 15
c) 22
d) 23

• What number subtracted from 30 leaves 7 more than
3
5
of 25?
a) 8
• Write an equation!
 30−? = 7 +
3
5
× 25
 30−? = 7 + 15
 30−? = 22
 So the mystery number is 8!

Question 74
What number is 5 more than
1
3
of 18?
a) 6
b) 11
c) 1
d) 14

1
3
of 18?
b) 11
 ? = 5 +
1
3
× 18
 ? = 5 + 6
 ? = 11
 The mystery number is 11!

a) (C) is greater than (A) and (B).
b) (A) is greater than (B) and equal to (C).
c) (A), (B), and (C) are equal.
d) (B) is greater than (A) and less than (C).
(A) 8 × 3 − 10
(B) 5 × 2 + 4
(C) 4 × 4 − 2

c) (A), (B), and (C) are equal.
• Evaluate the expressions!
(A) 8 × 3 − 10 = 24 − 10 = 14
(B) 5 × 2 + 4 = 10 + 4 = 14
(C) 4 × 4 − 2 = 16 − 2 = 14
(A) 8 × 3 − 10
(B) 5 × 2 + 4
(C) 4 × 4 − 2

Question 76
a) 791
b) 788
c) 787
d) 790

a) 791
• Create a table!
821 812 804 797 ?

a) 791
• Create a table!
-9 -8 -7 -6
821 812 804 797 ?

a) 791
• Create a table!
-9 -8 -7 -6
821 812 804 797 791

Question 77
a) (A) has more circles than (B).
b) (B) and (C) have the same number of circles.
c) (B) and (C) each have more circles than (A).
d) (A) and (C) each have fewer circles than (B).

• Count the circles!
Letter # of Circles
(A)
(B)
(C)

• Count the circles!
Letter # of Circles
(A) 10
(B) 12
(C) 13

Question 78
a) (C) is more shaded than (B).
b) (A) and (C) are equally shaded, and both are more shaded than (B).
c) (B) is more shaded than (A) and less shaded than (C).
d) (A), (B), and (C) are equally shaded.

• Each hexagon has been broken into 6 parts. Now count the shaded parts!
Letter # Segments Shaded
(A)
(B)
(C)

• Each hexagon has been broken into 6 parts. Now count the shaded parts!
Letter # Segments Shaded
(A) 3
(B) 3
(C) 3

Question 79
Look at this series: 95, 99, __ , 107, 111.
What number should fill the blank in the middle of the series?
a) 104
b) 98
c) 106
d) 103

d) 103
• So, once again, we are going to make a chart!
95 99 ____________ 107 111

Question 79
d) 103
+4 +4
95 99 ____________ 107 111

d) 103
+4 +4 +4 +4
95 99 ____________ 107 111

d) 103
+4 +4 +4 +4
95 99 103 107 111

Question 80
What number divided by 4 is
1
5
of 100?
a) 400
b) 20
c) 80
d) 200

1
5
of 100?
c) 80
• First, what is
1
5
of 100?

1
5
of 100?
c) 80
• First, what is
1
5
of 100?

1
5
× 100 = 20
• Now, write an equation!

Question 80
1
5
of 100?
c) 80
• First, what is
1
5
of 100?

1
5
× 100 = 20
• Now, write an equation!
 ?÷ 4 = 20
 ? = 20 × 4
 ? = 80
• So 80 is the mystery number!

Question 81
Look at this .series: 1, V, 6, X, .... What number should come next?
a) XV
b) 11
c) 10
d) IX

b) 11
• First, make a table!
1 V 6 X ____________
1 5 6 10 ____________

Question 81
b) 11
+4 +1 +4
1 V 6 X ____________
1 5 6 10 ____________

b) 11
+4 +1 +4 +1
1 V 6 X ____________
1 5 6 10 ____________

b) 11
• Now, will we need to write 11 as a roman numeral?
+4 +1 +4 +1
1 V 6 X ____________
1 5 6 10 11

b) 11
• Now, will we need to write 11 as a roman numeral?
 No, we will not!
+4 +1 +4 +1
1 V 6 X 11
1 5 6 10 11

Question 82
Examine (A). (B). and (C) and find the best answer.
a) (A) and (B) are each greater than (C).
c) (C) is greater than (A).
d) (B) and (C) are equal.
(A) 1
3
of 15
(B) 1
4
of 16
(C) 1
5
of 20

Examine (A). (B). and (C) and find the best answer.
d) (B) and (C) are equal.
• Make a chart and get rid of the fractions!
(A) 1
3
of 15
(B) 1
4
of 16
(C) 1
5
of 20
Letter Original Equation Numerical Value
(A) 1
3
of 15 5
(B) 1
4
of 16 4
(C) 1
5
of 20 4

Question 83
1
2
of what number is 7 times 3?
a) 21
b) 42
c) 20
d) 5

1
2
b) 42
• We will write another equation!

1
2
b) 42
•
1
2
×? = 7 × 3

1
2
b) 42
•
1
2
×? = 7 × 3
•
1
2
×? = 21

1
2
b) 42
•
1
2
×? = 7 × 3
•
1
2
×? = 21
• ? = 21 × 2

1
2
b) 42
•
1
2
×? = 7 × 3
•
1
2
×? = 21
• ? = 21 × 2
• ? = 42
• Our mystery number is 42!

Question 84
a) (A), (B), and (C) are equally shaded.
b) (B) is less shaded than (C) and more shaded than (A).
c) (A) is more shaded than (B) or (C).
d) (C) is more shaded than (A).

a) (A), (B), and (C) are equally shaded.
• On this question, we cannot count shaded segments, but you don’t need to!
• You can see that each square has half shaded!

Question 85
What number added to 6 is 3 times the product of 5 and 2?
a) 16
b) 4
c) 30
d) 24

Question 85
d) 24

d) 24
• ? +6 = 3 × 5 × 2

d) 24
• ? +6 = 3 × 5 × 2
• ? +6 = 3 × 10
• ? +6 = 30
• ? = 24

Question 86
Look at this series: 50. 48, 52. 50. 54. 52 .....
a) 50
b) 56
c) 54
d) 58

Look at this series: 50, 48, 52, 50, 54, 52 , ...
b) 56
• Create a chart!
-2 +4 -2 +4 -2 +4
50 48 52 50 54 52 ?

Look at this series: 50, 48, 52, 50, 54, 52 , ...
b) 56
• Create a chart!
-2 +4 -2 +4 -2 +4
50 48 52 50 54 52 56

Question 87
Examine (A), (B). and (C) and find the best answer.
a) (A) is greater than (C), which is greater than (B).
b) (A) is equal to (C) and greater than (B).
c) (A) is equal to (B) and greater than (C).
d) (A) is less than (B) and equal to (C).
(A) .4
(B) 4%
(C) 2
5

Examine (A), (B). and (C) and find the best answer.
b) (A) is equal to (C) and greater than (B).
• Convert to a decimal!
(A) .4
(B) 4%
(C) 2
5
Letter Original Value Decimal Value
(A) .4 0.40
(B) 4% 0.04
(C) 2
5
0.40

Question 88
3
4
a) 18
b) 24
c) 32
d) 8

3
4
c) 32
• We will write an equation!

3
4
c) 32
•
3
4
×? = 6 × 4

3
4
c) 32
•
3
4
×? = 6 × 4
•
3
4
×? = 24
• ? = 24 ×
4
3
• ? = 32
• Our mystery value is 32!

Question 89
Look at this series: 12, 14, 28,_, 60, ...
What number should fill the blank in this series?
a) 19
b) 16
c) 40
d) 30

d) 30
• Again, we will go to our trusty chart method!
• But this time, we need to use some logic!
+2 × 2 or + 14 ? ?
12 14 28 ____________ 60

d) 30
• But this time, we need to use some logic! Let us try +2 +14:
• However, the rule we set does NOT work.
+2 +14 or × 2 ? ?
12 14 28 ____________ 60
+2 +14 +2 +14
12 14 28 30 60

d) 30
• But this time, we need to use some logic! Let us try +2 × 2:
• YES! The rule we picked worked!
+2 +14 or × 2 ? ?
12 14 28 ____________ 60
+2 × 2 +2 × 2
12 14 28 30 60

Question 90
Look at this series: 4, 5, 8, 11, 12, 15. 18, 19,. ... What number should come
next?
a) 20
b) 22
c) 23
d) 21

next?
b) 22
• Make a chart!
+1 +3 +3 +1 +3 +3 +1 +3
4 5 8 11 12 15 18 19 ______

next?
b) 22
• Make a chart!
• The rule is: +1 +3 +3, so the mystery number is 22!
+1 +3 +3 +1 +3 +3 +1 +3
4 5 8 11 12 15 18 19 22

Question 91
Examine the triangle and find the best answer.
a) AD is greater than CD.
b) BA and AD are each less than BC.
c) AB is equal to BC.
d) AB is equal to AC plus BC.

Examine the triangle and find the best answer.
a) AD is greater than CD.
• The line drawn from point A to the base of triangle ABO divides this triangle
into two right triangles, one of which is ∆𝐴𝐶𝐷.
• AD is the hypotenuse of this right triangle whose length must be greater
than the length 𝐶𝐷. the base of ∆𝐴𝐶𝐷

Question 92
What number multiplied by 3 is 5 less than 29?
a) 6
b) 24
c) 8
d) 21

c) 8

c) 8
• ?× 3 = 29 − 5

c) 8
• ?× 3 = 29 − 5
• ?× 3 = 24
• ? = 8

Question 93
Look at this series: 23, 29, 32, 38, 41, _, 50, .... What number should fill the
blank in this series?
a) 42
b) 47
c) 44
d) 51

b) 47
• You know what to do! Make a chart!
+6 +3 +6 +3 +6 +3
23 29 32 38 41 ________ 50

b) 47
• You know what to do! Make a chart!
+6 +3 +6 +3 +6 +3
23 29 32 38 41 47 50

Question 94
a) (A) is equal to (B), which is equal to (C).
b) (A) is equal to (B) and less than (C).
c) (B) is equal to (C) and less than (A).
d) (C) is greater than (A) and (B).
(A) 10 ÷ 5 × 10
(B) 5 ÷ 1 × 4
(C) 20 ÷ 5 × 5

a) (A) is equal to (B), which is equal to (C).
• Make a chart! We will evaluate the equations
(A) 10 ÷ 5 × 10
(B) 5 ÷ 1 × 4
(C) 20 ÷ 5 × 5
Letter Original Simplified
(A) 10 ÷ 5 × 10 20
(B) 5 ÷ 1 × 4 20
(C) 20 ÷ 5 × 5 20

Question 95
Look at this series: 100, 101, 91, 92, 82, ....
What two numbers should come next?
a) 72, 74
b) 72, 73
c) 83, 73
d) 84, 74

c) 83, 73
• Make a chart!
+1 -10 +1 -10 +1 -10
100 101 91 92 82 ________ ________

c) 83, 73
• Make a chart!
+1 -10 +1 -10 +1 -10
100 101 91 92 82 83 73

Question 96
Examine the cube and find the best answer.
a) CF is greater than CB.
b) EF is less than AB.
c) CB is equal to CE.
d) CF is greater than AB.

Examine the cube and find the best answer.
d) CF is greater than AB.
• Because the figure is a cube, all edges and sides are equal.
• When a diagonal line is drawn across one side, like CF, it forms a hypotenuse of
a right triangle whose length is longer than the length of either of its sides (CE
and EF). Because the sides of the cube are all equal. CF must also be longer than
AB.

Question 97
What number divided by 2 leaves 4 more than 6?
a) 5
b) 10
c) 20
d) 4

c) 20
• Time to write an equation!

c) 20
• ?÷ 2 = 4 + 6

c) 20
• ?÷ 2 = 4 + 6
• ?÷ 2 = 10
• ? = 10 × 2
• ? = 20
• The mystery number is 20!

Question 98
Examine (A), (B), and (C) and find the best answer if both x and y are greater
than zero.
a) (A), (B), and (C) are equal.
b) (B) is less than (A). which is less than (C).
c) (C) is greater than (A) and less than (B).
d) (A) and (B) are equal.
(A) 5 𝑥 + 𝑦
(B) 5𝑥 + 𝑦
(C) 5 𝑥 + 𝑦 + 𝑥

Examine (A), (B), and (C) and find the best answer if both x and y are greater
than zero.
b) (B) is less than (A). which is less than (C).
• Lets make a chart
(A) 5 𝑥 + 𝑦
(B) 5𝑥 + 𝑦
(C) 5 𝑥 + 𝑦 + 𝑥
Letters Original Expanded
(A) 5 𝑥 + 𝑦 5𝑥 + 5𝑦
(B) 5𝑥 + 𝑦 5𝑥 + 𝑦
(C) 5 𝑥 + 𝑦 + 𝑥 6𝑥 + 5𝑦

Question 99
a) 136
b) 138
c) 72
d) 76

a) 136
• Make a chart!
× 2 +4 × 2 +4 × 2
14 28 32 64 68 __________

a) 136
• Make a chart!
× 2 +4 × 2 +4 × 2
14 28 32 64 68 136

Question 100
What number subtracted from 7 leaves
1
4
of 20?
a) 13
b) 5
c) 12
d) 2

1
4
of 20?
d) 2
• What is the equation?

1
4
of 20?
d) 2
• What is the equation?
• 7−? =
1
4
× 20
• 7−? = 5
• ? = 2

Question 101
Look at this series: A24, C28, El8, G22, ....
What comes next?
a) H26
b) J14
c) I12
d) F20

Look at this series: A24, C28, E18, G22, ....
What comes next?
c) I12
• What is the pattern?
 The pattern for the letters in this series is made by using every other letter starting
with A.
 The pattern for the numbers is + 4, -10, + 4,- 10, and so on.
• With that in mind, make a chart!
A24 C28 E18 G22 ____________

What comes next?
c) I12
with A.
+2 letter
+4
+2 letter
+4
+2 letter
+4
+2 letter
+4
A24 C28 E18 G22 ____________

What comes next?
c) I12
with A.
+2 letter
+4
+2 letter
+4
+2 letter
+4
+2 letter
+4
A24 C28 E18 G22 I12

Question 102
Examine the graph and find the best answer.
a) B plus C minus A equals D.
b) C minus A minus B equals D.
c) C plus D equals A plus B.
d) D minus B equals A plus C.

Examine the graph and find the best answer.
a) B plus C minus A equals D.
• Make a chart of values!
• Then test the choices!
Letter Value
A 4
B 2
C 10
D 8

Question 103
What number is 2 less than
3
5
of 10?
a) 4
b) 8
c) 6
d) 2

3
5
of 10?
a) 4

3
5
of 10?
a) 4
• ? +2 =
3
5
× 10
• ? +2 = 6
• ? =4
• The mystery number is 4

Question 104
Look at this series: 4, 16, 5, 25, 6, .... What number should come next?
a) 36
b) 30
c) 6
d) 20

a) 36
• Make a chart!
squared squared squared
4 16 5 25 6 __________

a) 36
• Make a chart!
squared squared squared
4 16 5 25 6 36

Question 105
a) A>B>C
b) B>A>C
c) A=B=C
d) B>A=C
(A) 52
(B) 43
(C) 24

b) B>A>C
• Get rid of the powers and see what is right!
(A) 52
(B) 43
(C) 24
Letters Original Numerical
(A) 52
25
(B) 43
64
(C) 24
16

Question 106
Look at this series: 10, 7
1
2
, 5, 2
1
2
,… What number should come next?
a) 1
b) 1
1
2
c)
1
2
d) 0

1
2
, 5, 2
1
2
d) 0
• Make a chart!
−2
1
2
−2
1
2
−2
1
2
−2
1
2
10
7
1
2
5
2
1
2
?

1
2
, 5, 2
1
2
d) 0
• Make a chart!
−2
1
2
−2
1
2
−2
1
2
−2
1
2
10
7
1
2
5
2
1
2
0

Question 107
What number is 8 times
1
2
of 20?
a) 10
b) 80
c) 24
d) 28

1
2
of 20?
b) 80

1
2
of 20?
b) 80
• ? = 8 ×
1
2
× 20
• ? = 8 × 10
• ? = 80
• 80 is our mystery number!

Question 108
Look at this series: 26, 30, 28, 27, 31, 29, 28,.. .. What three numbers should
come next?
a) 32, 38, 34
b) 30, 28, 27
c) 32, 30, 29
d) 24, 26, 27

come next?
c) 32, 30, 29
• Make a chart!
+4 -2 -1 +4 -2 -1 +4 -2 -1
26 30 28 27 31 29 28 ? ? ?

come next?
c) 32, 30, 29
• Make a chart!
+4 -2 -1 +4 -2 -1 +4 -2 -1
26 30 28 27 31 29 28 32 30 29

Question 109
1
3
of what number added to 6 is 2 times 9?
a) 12
b) 36
c) 18
d) 3

1
3
b) 36

1
3
b) 36
•
1
3
×? + 6 = 2 × 9
•
1
3
×? + 6 = 18
•
1
3
×? = 12
• ? = 12 × 3 = 36
• The mystery number is 36!

Question 110
Examine the parallelogram and find the best answer.
a) The perimeter of the parallelogram is 10 inches
b) . The area of the parallelogram is 5 square inches.
c) The area of triangle ABO is greater than the area
of triangle ACD.
d) The perimeter of triangle BAC is equal to the perimeter of the
parallelogram.

Examine the parallelogram and find the best answer.
a) The perimeter of the parallelogram is 10 inches.
• Test each of the alternatives to find the true one.
• To find the perimeter, add the length of all four sides:
 2+3+2+3=10

Question 111
4
9
of 27?
a) 37
b) 12
c) 2
d) 22

4
9
of 27?
d) 22

4
9
of 27?
d) 22
• ? = 10 +
4
9
× 27
• ? = 10 + 12
• ? = 22
• The mystery number was 22!

Question 112
What number is 7 less than 4 squared?
a) 9
b) 25
c) 16
d) 11

Question 112
a) 9
• Write out an equation!

Question 112
a) 9
• Write out an equation!
• ? +7 = 42
• ? +7 =16
• ? = 16 − 7
• ? = 9
• The number 9 is the mystery number!

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Quantitative Skills Section!
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High School Placement Test: Quantitative Skills

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