high school placement test: quantitative skills

High School Placement Test: Quantitative Skills

Example ALook at this series: 1,3,5,7,9, .... What numeral should come next?

a) 7

b) 8

c) 11

d) 13

Example A SolutionLook 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 BExamine (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 SolutionExamine (A), (B), and (C) and find the best answer

a) (B) has more than (A), which has the same as (C)

• When in doubt, count

A: 5 -B:6 -C:5

Example CWhat number added to 7 equals 6 times 3?

a) 11

b) 2

c) 18

d) 10

Example C SolutionWhat number added to 7 equals 6 times 3?

a) 11

• Write a simple equation!


a) 11


𝑥 + 7 = 6 × 3 which would simplify down to 𝑥 + 7 = 18

Now solve for 𝑥!


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 DExamine (A), (B), and (C) and find the best answer

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 61What number is 3 more than 20% of 40?

a) 11

b) 8

c) 5

d) 9

Question 61 SolutionWhat number is 3 more than 20% of 40?

a) 11

• First, note that 20% is equivalent to 0.2

• Now write the question as an equation!

Question 61 SolutionWhat number is 3 more than 20% of 40?

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 62Look at the series: 32, 39, 46, 53, …

What number should come next?

a) 68

b) 61

c) 59

d) 60

Question 62 SolutionLook at the series: 32, 39, 46, 53, …


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 63Look at this series: 48, 39, 30, 21, …


a) 17

b) 20

c) 29

d) 12

Question 63 SolutionLook at this series: 48, 39, 30, 21, …


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 64Examine (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)

Question 64 SolutionExamine (A), (B), and (C) and find the best answer.


• 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)


(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

70. 571428

(C) .297 × 2.1 0.6237

Question 66What number is the cube of 5 divided by 5?

a) 15

b) 25

c) 75

d) 125

Question 66 SolutionWhat 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 67What number is

1

2of the average of 7, 18, 5, 39, 11?

a) 40

b) 5

c) 8

d) 20

Question 67 SolutionWhat number is

1

2of the average of 7, 18, 5, 39, 11?

c) 8

• How do you find the average?

Question 67 Solution

What number is 1

2of the average of 7, 18, 5, 39, 11?

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

2of the average: 8


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)

Question 68 Solution• Examine (A), (B), and (C) and find the best answer.


• Count the blocks!

A:

B:

C:

Question 68 Solution• Examine (A), (B), and (C) and find the best answer.


• Count the blocks!

A: 2

B: 4

C: 3

Question 69Look 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

Question 69 SolutionLook at this series: 1, 4, 11, __ , 21, 24, 31, .... What number should fill the blank in the middle of the series?

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


(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 71Look at this series: 1, 2, 4, 5, 10, 11, ....


a) 22

b) 12

c) 15

d) 21

Question 71 SolutionLook at this series: 1, 2, 4, 5, 10, 11, ....


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 72Look 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

Question 72 SolutionLook at this series: 34, 40, 37, 36, 42, 39, 38, .... What three numbers should come next?

c) 44, 41, 40


34 40 37 36 42 39 38


c) 44, 41, 40


+6 -3 -1 +6 -3 -1 ? ? ?

34 40 37 36 42 39 38 ? ? ?


c) 44, 41, 40


+6 -3 -1 +6 -3 -1 +6 -3 -1

34 40 37 36 42 39 38 ? ? ?


c) 44, 41, 40


+6 -3 -1 +6 -3 -1 +6 -3 -1

34 40 37 36 42 39 38 44 41 40

Question 73What number subtracted from 30 leaves 7 more than

3

5of 25?

a) 8

b) 15

c) 22

d) 23

Question 73 Solution• What number subtracted from 30 leaves 7 more than

3

5of 25?

a) 8

• Write an equation!

30−?= 7 +3

5× 25

30−?= 7 + 15

30−?= 22

So the mystery number is 8!

Question 74What number is 5 more than

1

3of 18?

a) 6

b) 11

c) 1

d) 14

Question 74 SolutionWhat number is 5 more than

1

3of 18?

b) 11


?= 5 +1

3× 18

?= 5 + 6

?= 11

The mystery number is 11!

Question 75 SolutionExamine (A), (B), and (C) and find the best answer

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 76Look at this series: 821, 812, 804, 797, …


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 77Examine (A), (B), and (C) and find the best answer

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 78Examine (A), (B), and (C) and find the best answer

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 79Look 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

Question 79 SolutionLook at this series: 95, 99, __ , 107, 111.


d) 103

• So, once again, we are going to make a chart!

95 99 ____________ 107 111

Question 79Look at this series: 95, 99, __ , 107, 111.


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 80What number divided by 4 is

1

5of 100?

a) 400

b) 20

c) 80

d) 200

Question 80 SolutionWhat number divided by 4 is

1

5of 100?

c) 80

• First, what is 1

5of 100?

Question 80 SolutionWhat number divided by 4 is

1

5of 100?

c) 80


5of 100?

1

5× 100 = 20

• Now, write an equation!

Question 80What number divided by 4 is

1

5of 100?

c) 80


5of 100?

1

5× 100 = 20

• Now, write an equation!

?÷ 4 = 20

?= 20 × 4

?= 80

• So 80 is the mystery number!

Question 81Look at this .series: 1, V, 6, X, .... What number should come next?

a) XV

b) 11

c) 10

d) IX

Question 81 SolutionLook at this .series: 1, V, 6, X, .... What number should come next?

b) 11

• First, make a table!

1 V 6 X ____________

1 5 6 10 ____________

Question 81Look at this .series: 1, V, 6, X, .... What number should come next?

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 82Examine (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

3of 15

(B) 1

4of 16

(C) 1

5of 20

Question 82 SolutionExamine (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

3of 15

(B) 1

4of 16

(C) 1

5of 20

Letter Original Equation Numerical Value

(A) 1

3of 15 5

(B) 1

4of 16 4

(C) 1

5of 20 4

Question 831

2of what number is 7 times 3?

a) 21

b) 42

c) 20

d) 5

Question 83 Solution1


b) 42

• We will write another equation!



b) 42


•1

2×?= 7 × 3



b) 42


•1

2×?= 7 × 3

•1

2×?= 21



b) 42


•1

2×?= 7 × 3

•1

2×?= 21

• ?= 21 × 2



b) 42


•1

2×?= 7 × 3

•1

2×?= 21

• ?= 21 × 2

• ?= 42

• Our mystery number is 42!


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 85What number added to 6 is 3 times the product of 5 and 2?

a) 16

b) 4

c) 30

d) 24

Question 85What number added to 6 is 3 times the product of 5 and 2?

d) 24


Question 85 SolutionWhat number added to 6 is 3 times the product of 5 and 2?

d) 24


• ?+6 = 3 × 5 × 2

Question 85 SolutionWhat number added to 6 is 3 times the product of 5 and 2?

d) 24


• ?+6 = 3 × 5 × 2

• ?+6 = 3 × 10

• ?+6 = 30

• ?= 24

Question 86Look at this series: 50. 48, 52. 50. 54. 52 .....


a) 50

b) 56

c) 54

d) 58

Question 86 SolutionLook 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 ?

Question 86 SolutionLook 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 87Examine (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

Question 87 SolutionExamine (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 883


a) 18

b) 24

c) 32

d) 8



c) 32

• We will write an equation!



c) 32


•3

4×?= 6 × 4



c) 32


•3

4×?= 6 × 4

•3

4×?= 24

• ?= 24 ×4

3

• ?= 32

• Our mystery value is 32!

Question 89Look at this series: 12, 14, 28,_, 60, ...

What number should fill the blank in this series?

a) 19

b) 16

c) 40

d) 30

Question 89 SolutionLook at this series: 12, 14, 28,_, 60, ...


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 90Look at this series: 4, 5, 8, 11, 12, 15. 18, 19,. ... What number should come next?

a) 20

b) 22

c) 23

d) 21

Question 90 SolutionLook at this series: 4, 5, 8, 11, 12, 15. 18, 19,. ... What number should come next?

b) 22

• Make a chart!

+1 +3 +3 +1 +3 +3 +1 +3

4 5 8 11 12 15 18 19 ______

Question 90 SolutionLook at this series: 4, 5, 8, 11, 12, 15. 18, 19,. ... What number should come 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 91Examine 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.

Question 91 SolutionExamine 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 92What number multiplied by 3 is 5 less than 29?

a) 6

b) 24

c) 8

d) 21

Question 92 SolutionWhat number multiplied by 3 is 5 less than 29?

c) 8



c) 8


• ?× 3 = 29 − 5


c) 8


• ?× 3 = 29 − 5

• ?× 3 = 24

• ?= 8


Question 93Look 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

Question 93 SolutionLook at this series: 23, 29, 32, 38, 41, _, 50, .... What number should fill the blank in this series?

b) 47

• You know what to do! Make a chart!

+6 +3 +6 +3 +6 +3

23 29 32 38 41 ________ 50

Question 93 SolutionLook at this series: 23, 29, 32, 38, 41, _, 50, .... What number should fill the blank in this series?

b) 47

• You know what to do! Make a chart!

+6 +3 +6 +3 +6 +3

23 29 32 38 41 47 50


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 95Look 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

Question 95 SolutionLook at this series: 100, 101, 91, 92, 82, ....


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 96Examine 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.

Question 96 SolutionExamine 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 97What number divided by 2 leaves 4 more than 6?

a) 5

b) 10

c) 20

d) 4

Question 97 SolutionWhat number divided by 2 leaves 4 more than 6?

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 98Examine (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

Question 98 SolutionExamine (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 99Look at this series: 14, 28, 32, 64, 68, ....


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 100What number subtracted from 7 leaves

1

4of 20?

a) 13

b) 5

c) 12

d) 2

Question 100 SolutionWhat number subtracted from 7 leaves

1

4of 20?

d) 2

• What is the equation?

Question 100 SolutionWhat number subtracted from 7 leaves

1

4of 20?

d) 2

• What is the equation?

• 7−?=1

4× 20

• 7−?= 5

• ?= 2


Question 101Look at this series: A24, C28, El8, G22, ....

What comes next?

a) H26

b) J14

c) I12

d) F20

Question 101 SolutionLook 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





+2 letter

+4

+2 letter

+4

+2 letter

+4

+2 letter

+4

A24 C28 E18 G22 ____________


What comes next?

c) I12





+2 letter

+4

+2 letter

+4

+2 letter

+4

+2 letter

+4

A24 C28 E18 G22 I12

Question 102Examine 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.

Question 102 SolutionExamine 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 103What number is 2 less than

3

5of 10?

a) 4

b) 8

c) 6

d) 2

Question 103 SolutionWhat number is 2 less than

3

5of 10?

a) 4


Question 103 SolutionWhat number is 2 less than

3

5of 10?

a) 4


• ?+2 =3

5× 10

• ?+2 = 6

• ? =4

• The mystery number is 4

Question 104Look at this series: 4, 16, 5, 25, 6, .... What number should come next?

a) 36

b) 30

c) 6

d) 20

Question 104 SolutionLook at this series: 4, 16, 5, 25, 6, .... What number should come next?

a) 36

• Make a chart!

squared squared squared

4 16 5 25 6 __________

Question 104 SolutionLook at this series: 4, 16, 5, 25, 6, .... What number should come next?

a) 36

• Make a chart!

squared squared squared

4 16 5 25 6 36


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 106Look at this series: 10, 7

1

2, 5, 2

1

2,… What number should come next?

a) 1

b) 11

2

c)1

2

d) 0

Question 106 SolutionLook at this series: 10, 7

1

2, 5, 2

1


d) 0

• Make a chart!

−21

2−2

1

2−2

1

2−2

1

2

1071

2

521

2

?

Question 106 SolutionLook at this series: 10, 7

1

2, 5, 2

1


d) 0

• Make a chart!

−21

2−2

1

2−2

1

2−2

1

2

1071

2

521

2

0

Question 107What number is 8 times

1

2of 20?

a) 10

b) 80

c) 24

d) 28

Question 107 SolutionWhat number is 8 times

1

2of 20?

b) 80


Question 107 SolutionWhat number is 8 times

1

2of 20?

b) 80


• ?= 8 ×1

2× 20

• ?= 8 × 10

• ?= 80

• 80 is our mystery number!

Question 108Look 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

Question 108 SolutionLook at this series: 26, 30, 28, 27, 31, 29, 28,.. .. What three numbers should 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 ? ? ?

Question 108 SolutionLook at this series: 26, 30, 28, 27, 31, 29, 28,.. .. What three numbers should 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 1091

3of what number added to 6 is 2 times 9?

a) 12

b) 36

c) 18

d) 3



b) 36




b) 36


•1

3×? + 6 = 2 × 9

•1

3×? + 6 = 18

•1

3×?= 12

• ?= 12 × 3 = 36

• The mystery number is 36!

Question 110Examine 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.

Question 110 SolutionExamine 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 111What number is 10 more than

4

9of 27?

a) 37

b) 12

c) 2

d) 22


4

9of 27?

d) 22



4

9of 27?

d) 22


• ?= 10 +4

9× 27

• ?= 10 + 12

• ?= 22

• The mystery number was 22!

Question 112What number is 7 less than 4 squared?

a) 9

b) 25

c) 16

d) 11


a) 9

• Write out an equation!


a) 9

• Write out an equation!

• ?+7 = 42

• ?+7 =16

• ?= 16 − 7

• ?= 9

• The number 9 is the mystery number!

We Are Done With TheQuantitative Skills Section!Do you have any questions?

high school placement test: quantitative skills

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