HSPT Quantitative Skills Practice Test 2024 (52 Questions Answers)

Last Updated on June 26, 2024

HSPT Quantitative Skills Practice Test 2024 (52 Questions and Answers) with explanation. You can try the HSPT (High School Placement Test) Quantitative Skills Practice Test for free, with review questions and answers. In addition, you can download a printable PDF for better HSPT test prep.

Number Series (18 questions): These questions test your ability to reason nonverbally. You’ll be given a series of numbers arranged in a set pattern and asked to pick, from four choices, the number that would logically come next in the series.

Geometric Comparison (9 questions): These questions test your ability to reason nonverbally. You will be shown three geometric figures and asked quantitative questions about the figures—for example, which has more than, which has less than, or is equal to one of four choices.

Nongeometric Comparison (8 questions): Your nonverbal reasoning skills will be tested. You’ll be given three number statements and asked quantitative questions about the statements—for example, which is greater than, less than, or equal to one of four choices.

Number Manipulation (17 questions): These questions test basic math ability. You’ll be asked to perform mathematical operations to decide which of four choices is the correct answer.

HSPT Quantitative Skills Practice Test

Q61. Look at this series: 1, 4, 9, 5, 17,… What number should come next?

• (A) 6
• (B) 8
• (C) 22
• (D) 25

Explanation: This is an alternating series. In the first pattern, 8 is added (1, 9, 17); in the second pattern, 1 is added (4, 5, 6).

Q62. Examine (A), (B), and (C) and find the best answer.

• (A) (A) is more shaded than (B).
• (B) (B) is less shaded than (C).
• (C) (A) and (B) are equally shaded.
• (D) (B) and (C) are equally shaded.

Explanation: Determine how each figure is shaded by counting the number of blocks.

Q63. What number is 3 more than 20% of 100?

• (A) 17
• (B) 23
• (C) 28
• (D) 123

Explanation: 20% of 100 = 20; 20 + 3 = 23.

Q64. Examine (A), (B), and (C) and find the best answer.

• (A) (A) 3 + (2 * 1)
• (B) (B) 8 / (2 * 2)
• (C) (C) 10 divided by (1 + 1)
• (A) (A) and (B) are equal.
• (B) (C) is greater than (B).
• (C) (A) is greater than (B) but less than (C).
• (D) (C) is greater than (B) but less than (A).

Explanation: First, solve for (A), (B), and (C): 3 + (2 * 1) = 5; 8 / (2 * 2) = 2; 10 / (1 + 1) = 5. Then find out which choice is true.

Q65. Look at this series: 567, 542, 517, 492,… What number should come next?

• (A) 499
• (B) 483
• (C) 477
• (D) 467

Explanation: This is a simple subtraction series; each number is 25 less than the previous number.

Q66. Look at this series: 9, 12, 11, 14, 13, 16, 15,… What two numbers should come next?

• (A) 14, 13
• (B) 8, 21
• (C) 14, 17
• (D) 18, 17

Explanation: This is a simple alternating addition and subtraction series. First, 3 is added, then 1 is subtracted; then 3 is added, 1 is subtracted, and so on.

Q67. Examine (A), (B), and (C) and find the best answer.

• (A) The number of lines in (A) and (C) together equals the number of lines in (B).
• (B) The number of lines in (B) is five more than the number of lines in (C).
• (C) The number of lines in (A) is two more than the number of lines in (B).
• (D) The number of lines in (B) and (C) together is five more than the number of lines in (A).

Explanation: Count the number of individual lines in (A), (B), and (C) and then test each choice to find out if it is true. (A) = 4, (B) = 7, (C) = 3.

Q68. What number is 7 less than 3/4 of 20?

• (A) -2
• (B) 8
• (C) 10
• (D) 13

Explanation: 3/4 of 20 = 15; 15 – 7 = 8.

Q69. Examine (A), (B), and (C) and find the best answer.

(A) 1/3 of 12

(B) 4% of 100

(C) 1/5 of 10

• (A) (A) is less than (C).
• (B) (A) and (B) are equal.
• (C) (A) plus (B) is equal to (C).
• (D) (C) is greater than (B).

Explanation: First, solve for (A), (B), and (C): 1/3 of 12 is 4; 4% of 100 is 4; 1/5 of 10 is 2. Then find out which choice is true.

Q70. What number is 2 less than 3% of 200?

• (A) 1
• (B) 4
• (C) 22
• (D) 58

Explanation: 3% of 200 = 6; 6 – 2 = 4.

Q71. What number divided by 6 is 1/2 of 18?

• (A) 9
• (B) 24
• (C) 36
• (D) 54

Explanation: First, set up the equation: n/6 = 1/2 (18). Then solve: n/6 = 9; n = 54.

Q72. Look at this series: 1, 7/8, 3/4, 5/8,… What number should come next?

• (A) 2/3
• (B) 1/2
• (C) 3/8
• (D) 1/4

Explanation: This is a simple subtraction series. Each number decreases by 1/8.

Q73. Examine the triangle and find the best answer.

• (A) AB is equal to AC.
• (B) AB is less than AC.
• (C) BC is greater than AC.
• (D) AB is equal to BC.

Explanation: AC is the hypotenuse of this right triangle, so AC must be greater than AB.

Q74. What is 12 more than 30% of 90?

• (A) 15
• (B) 39
• (C) 42
• (D) 52

Explanation: 30% of 90 = 27; 27 + 12 = 39.

Q75. Examine (A), (B), and (C) and find the best answer.

(A) 1/2 * 1/4

(B) 1/8 * 1/2

(C) 1/4 * 1/8

• (A) (A) is greater than (B) or (C).
• (B) (A) is greater than (B) but less than (C).
• (C) (C) is greater than (A) or (B).
• (D) (B) is greater than (C) or (A).

Explanation: First, solve for (A), (B), and (C): (A) = 1/8, (B) = 1/16, (C) = 1/32. Then find out which choice is true.

Q76. Look at this series: 8, 22, 12, 16, 22, 20, 24,… What two numbers should come next?

• (A) 28, 32
• (B) 28, 22
• (C) 22, 28
• (D) 22, 26

Explanation: This is an alternating repetition series, with a random number, 22, interpolated as every third number into an otherwise simple addition series. In the addition series, 4 is added to each number to arrive at the next number.

Q77. What number multiplied by 2 equals 1/3 of 30?

• (A) 20
• (B) 15
• (C) 12
• (D) 5

Explanation: First, set up the equation: n * 2 = 1/3 * 30. Then solve: n * 2 = 10; n = 5.

Q78. Look at this series: XX, XVI, XII, VIII,… What number should come next?

• (A) IV
• (B) V
• (C) VI
• (D) III

Explanation: This is a simple subtraction series; each number is 4 less than the previous number.

Q79. Examine the graph and find the best answer.

• (A) (B) is greater than (E).
• (B) (C) minus (A) is equal to (B).
• (C) (C) minus (E) is equal to (D).
• (D) (D) plus (E) is greater than (C).

Explanation: First, determine the value of each letter: A = 5, B = 12, C = 30, D = 15, E = 22. Then test each choice to find out if it is true.

Q80. Examine (A), (B), and (C) and find the best answer where a is a positive number.

(A) 3a

(B) 2(a + a)

(C) 2a + a

• (A) (A) and (B) are equal.
• (B) (A) and (C) are equal.
• (C) (C) is greater than (B).
• (D) (A) and (C) are equal to (B).

Explanation: First, solve for (A), (B), and (C): (A) = 3a, (B) = 4a, (C) = 3a. Then find out which choice is true.

Q81. What number is 7 times 3 divided by 13\frac{1}{3}?

• (A) 23\frac{2}{3}
• (B) 7
• (C) 63
• (D) 84

Explanation: 7×3=217 \times 3 = 21; 21÷13=21×3=6321 \div \frac{1}{3} = 21 \times 3 = 63.

Q82. Look at this series: 2, 1, 12\frac{1}{2}, 14\frac{1}{4},…. What number should come next?

• (A) 13\frac{1}{3}
• (B) 18\frac{1}{8}
• (C) 28\frac{2}{8}
• (D) 116\frac{1}{16}

Explanation: This is a simple division series; each number is one-half the previous number.

Q83. Look at this series: 21, 24, 30, 21, 36, 42,… What number should come next?

• (A) 21
• (B) 27
• (C) 42
• (D) 46

Explanation: This is a simple addition series with a random number, 21, interpolated as every third number. In the series, 6 is added to each number except 21, to arrive at the next number.

Q84. What number subtracted from 50 leaves 13 more than \frac14 of 8?

• (A) 15
• (B) 25
• (C) 27
• (D) 35

Explanation: First, set up the equation: 50−n=13+14×850 – n = 13 + \frac{1}{4} \times 8. Then solve: 50−n=13+250 – n = 13 + 2; 50−n=1550 – n = 15; n=50−15n = 50 – 15; n=35n = 35.

Q85. Examine (A), (B), and (C) and find the best answer.

• (A) (A) plus (C) is greater than (B).
• (B) (A) plus (C) is less than (B).
• (C) (C) minus (B) equals (A).
• (D) (B) minus (C) equals (A).

Explanation: First, determine the amounts shown in (A), (B), and (C), and then test each statement to find out if it is true.

Q86. Look at this series: 53, 53, __, 40, 27, 27,… What number should fill the blank?

• (A) 14
• (B) 38
• (C) 40
• (D) 51

Explanation: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.

Q87. Examine (A), (B), and (C) and find the best answer.

(A) 120% of 10

(B) 90% of 15

(C) 70% of 20

• (A) (A) and (C) are equal.
• (B) (B) is less than (A).
• (C) (A) and (B) are equal to (C).
• (D) (B) is greater than (A) but less than (C).

Explanation: First, solve for (A), (B), and (C): (A) = 12, (B) = 13.5, (C) = 14. Then find out which choice is true.

Q88. What number is 17 less than 140% of 5?

• (A) -10
• (B) -7
• (C) 7
• (D) 53

Explanation: 140% of 5 = 7; 7 – 17 = -10.

Q89. Look at this series: 1.5, 2.3, 3.1, 3.9,… What number should come next?

• (A) 4.2
• (B) 4.4
• (C) 4.7
• (D) 5.1

Explanation: In this simple addition series, each number increases by 0.8.

Q90. Look at this series: 29, 27, 28, 26, 27, 25,… What number should come next?

• (A) 23
• (B) 24
• (C) 26
• (D) 27

Explanation: In this simple alternating addition and subtraction series, 2 is subtracted, then 1 is added, and so on.

Q91. Examine (A), (B), and (C) and find the best answer.

• (A) 23
• (B) 32
• (C) 7
• (A) (A) is greater than (B) or (C).
• (B) (A) is less than (B) or (C).
• (C) (B) is greater than (A) or (C).
• (D) (A) and (B) are equal to (C).

Explanation: First, solve for (A), (B), and (C): (A) = 23, (B) = 32, (C) = 7. Then find out which choice is true.

Q92. Examine (A), (B), and (C) and find the best answer.

• (A) The area of (A) is equal to the area of (B).
• (B) The area of (A) is equal to the area of (C).
• (C) The area of (B) is equal to the area of (C).
• (D) The area of (A) is less than the area of (B).

Explanation: The formula is: area = length * width. Using this formula, determine the area of each rectangle: (A) is 4 square inches, (B) is 3 square inches, and (C) is 4 square inches. Then test each choice to find out which answer is true.

Q93. What number added to 16 more than the same number equals 136?

• (A) 152
• (B) 120
• (C) 72
• (D) 60

Explanation: First, set up the equation: n + (16 + n) = 136. Then solve: 16 + 2n = 136; 2n = 120; n = 60.

Q94. Look at this series: 10, 34, 12, 31, __, 28, 16, . . . What number should fill the blank?

• (A) 14
• (B) 18
• (C) 30
• (D) 34

Explanation: This is a simple alternating addition and subtraction series. The first series begins with 10 and adds 2; the second begins with 34 and subtracts 3.

Q95. What number times 8 less than 20% of 60 equals 24?

• (A) -6
• (B) 6
• (C) 18
• (D) 34

Explanation: First, set up the equation: n (0.2\*60)−8(0.2 \* 60) – 8 = 24. Then solve: n 12−812 – 8 = 24; 4n = 24; n = 6.

Q96. Examine (A), (B), and (C) and find the best answer.

• (A) (A) is more shaded than (C).
• (B) (A) and (C) are equally shaded.
• (C) (B) and (C) are equally shaded.
• (D) (B) is less shaded than (A).

Explanation: Determine how each figure is shaded by counting the number of blocks.

Q97. What number is 5 less than 2 times the same number?

• (A) 3
• (B) 5
• (C) 10
• (D) 20

Explanation: First, set up the equation: n = 2n – 5. Then solve: n = 5.

Q98. What number divided by 3 is \frac35  of 50?

• (A) 150
• (B) 130
• (C) 90
• (D) 10

Explanation: First, set up the equation: n3=35×50\frac{n}{3} = \frac{3}{5} \times 50. Then solve: n3=30\frac{n}{3} = 30; n = 90.

Q99. Examine (A), (B), and (C) and find the best answer.

(A) (1 + 5)2

(B) 3(13 – 2)

(C) (4 + 2) + (12 + 12)

• (A) (A) is greater than (C) but less than (B).
• (B) (B) and (C) are equal.
• (C) (C) is less than (A) or (B).
• (D) (B) is less than (C).

Explanation: First, solve for (A), (B), and (C): (A) = 36, (B) = 33, (C) = 30. Then find out which choice is true.

Q100. Look at this series: 3, 4, 7, 8, 11, 12,… What number should come next?

• (A) 7
• (B) 10
• (C) 14
• (D) 15

Explanation: This alternating addition series begins with 3. One is added to give 4; then 3 is added to give 7; then 1 is added, and so on.

Q101. What number times 7 is 12\frac{1}{2} of 28?

• (A) 2
• (B) 4
• (C) 21
• (D) 56

Explanation: First, set up the equation: 7n = 12×28\frac{1}{2} \times 28. Then solve: 7n = 14; n = 2.

Q102. Examine (A), (B), and (C) and find the best answer.

• (A) The area of (A), the area of (B), and the area of (C) are all equal.
• (B) The area of (A) is equal to the area of (B).
• (C) The area of (C) is less than the area of (B).
• (D) The area of (A) is greater than the area of (C).

Explanation: Use this formula to determine the area of a triangle: area = 12\frac{1}{2} of base * height. The area of (A) is 2.5 square inches, (B) is 2.5 square inches, and (C) is 3 inches. Test each choice to find out which answer is true.

Q103. Look at this series: J14, L11, N8, P5,… What number should come next?

• (A) Q2
• (B) Q3
• (C) R2
• (D) S2

Explanation: In this series, the letters progress by 2, and the numbers decrease by 3.

Q104. Look at this series: 31, 29, 24, 22, 17, . . . What number should come next?

• (A) 15
• (B) 14
• (C) 13
• (D) 12

Explanation: This is a simple alternating subtraction series, which subtracts 2, then 5.

Q105. Examine (A), (B), (C), and (D) and find the best answer.

• (A) (A) is longer than (B) but shorter than (C).
• (B) (C) is longer than (B) but shorter than (A).
• (C) (B) and (C) are equal to (A).
• (D) (D) minus (B) is equal to (C).

Explanation: Note the length of each line and test each statement.

Q106. What number times 4 is equal to 72 minus 20?

• (A) 208
• (B) 48
• (C) 13
• (D) 7.5

Explanation: First, set up the equation: 4n = 72 – 20. Then solve: 4n = 52; n = 13.

Q107. Look at this series: VI, 10, V, 11, IV, 12,… What number should come next?

• (A) VII
• (B) III
• (C) IX
• (D) 13

Explanation: This is an alternating addition and subtraction series. Roman numbers alternate with Arabic numbers. In the Roman numeral pattern, each number decreases by 1. In the Arabic numeral pattern, each number increases by 1.

Q108. Three times what number plus 50 equals 74?

• (A) 8
• (B) 24
• (C) 41.3
• (D) 48

Explanation: First, set up the equation: 3n + 50 = 74. Then solve: 3n = 24; n = 8.

Q109. Look at this series: 14, 28, 20, 40, 32, 64,… What number should come next?

• (A) 52
• (B) 56
• (C) 96
• (D) 128

Explanation: This is an alternating multiplication and subtracting series: First, multiply by 2, and then subtract 8.

Q110. Look at this series: 0.2, 15\frac{1}{5}, 0.4, 25\frac{2}{5}, 0.8, 45\frac{4}{5},… What number should come next?

• (A) 18\frac{1}{8}
• (B) 13\frac{1}{3}
• (C) 1.6
• (D) 0.16

Explanation: This is a multiplication series with repetition. The decimal is repeated by a fraction with the same value and is then multiplied by 2.

Q111. What number is 16 times 12\frac{1}{2} of 10% of 40?

• (A) 3.2
• (B) 12
• (C) 28
• (D) 32

Explanation: First, set up the equation: n = 16(12\frac{1}{2} * 4). Then solve: n = 16 * 2; n = 32.

Q112. Examine (A), (B), and (C) and find the best answer.

• (A) 95\frac{9}{5}
• (B) 1.6
• (C) 1130\frac{11}{30}
• (A) (B) is greater than (C) but less than (A).
• (B) (A) is less than (B).
• (C) (A) and (C) are equal to (B).
• (D) (B) minus (A) is equal to (C).