• 80 questions

HSPT Math Practice Test

Fractions, percents, geometry, equations and probability for the Mathematics subtest, plus number series and comparisons from Quantitative Skills.

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Unofficial practice questions, not affiliated with Scholastic Testing Service, the publisher of the HSPT. Bank checked October 12, 2026.

The real subtests: HSPT Mathematics and Quantitative Skills

Retakes
The publisher recommends taking the HSPT once. A school or diocese may allow a retest, case by case.
Mathematics
64 questions on computation, problem solving and concepts.
On the sample score profile
29 numbers and numeration, 7 measurements, 12 geometry, 7 algebra, 9 statistics and probability.
Quantitative Skills
52 questions: number series, number manipulations, geometric and nongeometric comparisons.
Calculator
Not to be used on either subtest under standardized conditions.
Scores they count in
Mathematics in Total Basic Skills, Quantitative Skills in Total Cognitive Skills, both in the Composite.

Checked October 12, 2026 against HSPT Interpretive Manual (Scholastic Testing Service, 2021) and the publisher's HSPT pages for parents. Rules change, so confirm with the agency itself before your test.

HSPT pages for parents, on the publisher's website

Next step More number work: pre-algebraAll five subtests: HSPT practice

All 80 questions with answers

Mathematics: numbers and numeration 29

  • A $60 game is marked down 25%. Then the sale price is marked down another 10%. What is the final price? Answer: $40.50. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.RP.A.3. Answer recomputed
  • A baker packs 12 muffins in a box. How many boxes are needed for 150 muffins if every muffin must go in a box? Answer: 13. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 4.OA.A.3. Answer recomputed
  • A bus leaves at 8:00 a.m. and travels at 50 miles per hour. How far has it gone by 10:30 a.m.? Answer: 125 miles. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.RP.A.3.b. Answer recomputed
  • A phone plan costs $18 a month plus $0.05 for each text. What is the bill for a month with 140 texts? Answer: $25.00. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.EE.B.3. Answer recomputed
Show all 80 questions (76 more)

Mathematics: numbers and numeration, continued

  • A printer makes 45 copies a minute. How many minutes does it take to make 1,260 copies? Answer: 28. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.NS.B.2. Answer recomputed
  • A rope 14 meters long is cut into pieces 3/4 meter long. How many full pieces can be cut? Answer: 18. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.NS.A.1. Answer recomputed
  • A shirt that costs $25 is taxed at 8%. What is the total cost? Answer: $27.00. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.RP.A.3. Answer recomputed
  • A store buys a lamp for $40 and sells it for $52. By what percent is the price raised? Answer: 30%. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.RP.A.3. Answer recomputed
  • A tank holds 60 gallons and is 3/4 full. How many more gallons will fill it? Answer: 15. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NF.B.6. Answer recomputed
  • Ana has $40 and saves $15 each week. In how many weeks will she have $175? Answer: 9. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.EE.B.4.a. Answer recomputed
  • In the number 5,283.746, which digit is in the hundredths place? Answer: 4. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NBT.A.3.a. Answer recomputed
  • Lunch costs $12.80. Three friends add a $2.20 tip and split the total equally. How much does each pay? Answer: $5.00. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.EE.B.3. Answer recomputed
  • Of the 240 students in a school, 35% ride the bus. How many do not ride the bus? Answer: 156. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.RP.A.3.c. Answer recomputed
  • On a map, 3 centimeters stand for 45 kilometers. How many kilometers do 7 centimeters stand for? Answer: 105. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.RP.A.3. Answer recomputed
  • The ratio of cats to dogs at a shelter is 4 to 5. The shelter has 36 animals, all of them cats or dogs. How many are dogs? Answer: 20. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.RP.A.3. Answer recomputed
  • Sam reads 24 pages in 40 minutes. At that rate, how many pages does he read in 1 hour 40 minutes? Answer: 60. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.RP.A.3.b. Answer recomputed
  • The temperature was −6°F at dawn and rose 19 degrees by noon. What was the temperature at noon? Answer: 13°F. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.NS.A.1. Answer recomputed
  • Two numbers add up to 50, and one is 14 more than the other. What is the larger number? Answer: 32. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.EE.B.4.a. Answer recomputed
  • What is 2 2/3 × 2 1/4? Answer: 6. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NF.B.4. Answer recomputed
  • What is 3.6 × 10⁴ written as an ordinary number? Answer: 36,000. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NBT.A.2. Answer recomputed
  • What is 5.6 ÷ 0.07? Answer: 80. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.NS.B.3. Answer recomputed
  • What is 5/9 ÷ 5/18? Answer: 2. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.NS.A.1. Answer recomputed
  • What is 8/9 − 5/12? Answer: 17/36. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NF.A.1. Answer recomputed
  • What is 12 − 3 × (2 + 1)? Answer: 3. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.OA.A.1. Answer recomputed
  • What is 36 × 125? Answer: 4,500. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 5.NBT.B.5. Answer recomputed
  • What is the greatest common factor of 66 and 110? Answer: 22. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 6.NS.B.4. Answer recomputed
  • What is the value of √144 + 4³? Answer: 76. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 8.EE.A.2. Answer recomputed
  • What is −8 + 15 − (−4)? Answer: 11. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 7.NS.A.1.c. Answer recomputed
  • Which of these numbers is prime: 51, 57, 59 or 63? Answer: 59. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, numbers and numeration. Common Core standard 4.OA.B.4. Answer recomputed

Mathematics: measurements 7

  • A bag of flour weighs 2,400 grams. How many kilograms is that? Answer: 2.4. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "kilo-" read in Wiktionary. Common Core standard 5.MD.A.1. Answer recomputed
  • A hallway is 15 feet long. How many yards is that? Answer: 5. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "yard" read in Wiktionary. Common Core standard 5.MD.A.1. Answer recomputed
  • A movie starts at 6:45 p.m. and runs 1 hour 50 minutes. When does it end? Answer: 8:35 p.m. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. Common Core standard 4.MD.A.2. Answer recomputed
  • How many meters are in 3.25 kilometers? Answer: 3,250. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "kilometre" read in Wiktionary. Common Core standard 5.MD.A.1. Answer recomputed
  • How many ounces are in 3 1/2 pounds? Answer: 56. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "pound" read in Wiktionary. Common Core standard 5.MD.A.1. Answer recomputed
  • How many quarters make $7.50? Answer: 30. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "quarter" read in Wiktionary. Common Core standard 4.MD.A.2. Answer recomputed
  • How many quarts are in 5 gallons? Answer: 20. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, measurements. "quart" read in Wiktionary. Common Core standard 5.MD.A.1. Answer recomputed

Mathematics: geometry 12

  • A box is 8 inches long, 3 inches wide and 5 inches tall. What is its volume? Answer: 120 cubic inches. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 5.MD.C.5.b. Answer recomputed
  • A cube has six square faces. Each edge is 4 cm long. What is the total area of the six faces? Answer: 96 square cm. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. "cube" read in Wiktionary. Common Core standard 6.G.A.4. Answer recomputed
  • A garden is a rectangle 12 meters by 7 meters. A path 1 meter wide runs all the way around it. What is the area of the garden and path together? Answer: 126 square meters. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 7.G.B.6. Answer recomputed
  • A ladder 13 feet long leans against a wall. Its foot is 5 feet from the wall. How high up the wall does it reach? Answer: 12 feet. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 8.G.B.7. Answer recomputed
  • A square has a perimeter of 36. What is its area? Answer: 81. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 4.MD.A.3. Answer recomputed
  • A triangle has a base of 16 and a height of 11. What is its area? Answer: 88. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 6.G.A.1. Answer recomputed
  • A wheel has a diameter of 30 inches. Using 3.14 for π, what is its circumference? Answer: 94.2 inches. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 7.G.B.4. Answer recomputed
  • Three angles lie side by side along one side of a straight line and fill it exactly. Two measure 48° and 75°. What does the third measure? Answer: 57°. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 7.G.B.5. Answer recomputed
  • Three angles of a four-sided figure measure 90°, 85° and 110°. What does the fourth angle measure? Answer: 75°. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 8.G.A.5. Answer recomputed
  • Two angles are supplementary. One measures 133°. What does the other measure? Answer: 47°. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 7.G.B.5. Answer recomputed
  • Two straight lines cross. One of the four angles they form measures 35°. What is the measure of an angle next to it? Answer: 145°. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 7.G.B.5. Answer recomputed
  • Two triangles are similar. The sides of the first are 3, 4 and 5. The shortest side of the second is 12. How long is its longest side? Answer: 20. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, geometry. Common Core standard 8.G.A.4. Answer recomputed

Mathematics: algebra 7

  • A rule gives y = 3x − 2. What is y when x = 6? Answer: 16. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 8.F.A.1. Answer recomputed
  • If 3(x + 4) = 27, what is the value of x? Answer: 5. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 7.EE.B.4.a. Answer recomputed
  • If x/4 + 6 = 10, what is the value of x? Answer: 16. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 7.EE.B.4.a. Answer recomputed
  • What is the slope of the line through (2, 1) and (6, 13)? Answer: 3. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 8.F.B.4. Answer recomputed
  • What is the value of 3a² − 2b when a = 3 and b = 5? Answer: 17. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 6.EE.A.2.c. Answer recomputed
  • Which expression is equal to 4(2n − 3) + n? Answer: 9n − 12. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 7.EE.A.1. Answer recomputed
  • Which of these describes every solution of 5 − 2x > 11? Answer: x < −3. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, algebra. Common Core standard 7.EE.B.4.b. Answer recomputed

Mathematics: statistics and probability 9

  • A bar graph shows books read: Ali 14, Bea 9, Cal 17, Dee 12. What is the range of the four numbers? Answer: 8. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.SP.B.5.c. Answer recomputed
  • A class voted for a mascot: Owls 9, Foxes 12, Bears 6, Hawks 3. What fraction of the votes went to Foxes? Answer: 2/5. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.SP.B.5. Answer recomputed
  • A coin is tossed twice. What is the probability of getting heads both times? Answer: 1/4. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 7.SP.C.8.a. Answer recomputed
  • A line graph shows the height of a plant: week 1, 3 cm; week 2, 7 cm; week 3, 12 cm; week 4, 18 cm. Between which two weeks did it grow the most? Answer: Between weeks 3 and 4. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.SP.B.5. Answer recomputed
  • A number cube with faces numbered 1 to 6 is rolled once. What is the probability of rolling a number greater than 4? Answer: 1/3. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 7.SP.C.7.a. Answer recomputed
  • A pictograph uses one star for every 4 goals. A team has six and a half stars. How many goals did it score? Answer: 26. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.SP.B.5. Answer recomputed
  • A spinner has 8 equal sections: 3 red, 4 yellow and 1 white. What is the probability that it does not land on yellow? Answer: 1/2. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 7.SP.C.7.a. Answer recomputed
  • A table shows rainfall in inches: April 5, May 8, June 4, July 3. What percent of the four-month total fell in May? Answer: 40%. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.RP.A.3.c. Answer recomputed
  • What is the median of 14, 6, 19, 10, 23 and 11? Answer: 12.5. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 2: Mathematics, statistics. Common Core standard 6.SP.B.5.c. Answer recomputed

Quantitative Skills 16

  • Compare three areas. (A) is a circle with a radius of 2. (B) is a square with sides of 4. (C) is a right triangle with legs of 4 and 6. Which is true? Answer: (C) is less than (A), and (A) is less than (B). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, geometric quantitative comparison. Answer recomputed
  • Compare three sums of angles. (A) is the three angles of a triangle. (B) is two right angles. (C) is the four angles of a rectangle. Which is true? Answer: (A) and (B) are equal and less than (C). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, geometric quantitative comparison. Answer recomputed
  • Compare three volumes. (A) is a cube with edges of 3. (B) is a box 2 by 3 by 4. (C) is a box 1 by 5 by 5. Which is true? Answer: (B) is less than (C), and (C) is less than (A). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, geometric quantitative comparison. Answer recomputed
  • Examine (A) 3/4, (B) 0.7 and (C) 4/5. Which is true? Answer: (B) is less than (A), and (A) is less than (C). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, nongeometric quantitative comparison. Answer recomputed
  • Examine (A) 5², (B) 2⁵ and (C) 3³. Which is true? Answer: (A) is less than (C), and (C) is less than (B). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, nongeometric quantitative comparison. Answer recomputed
  • Examine (A) 30% of 60, (B) 60% of 30 and (C) 20% of 80. Which is true? Answer: (A) and (B) are equal and greater than (C). Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, nongeometric quantitative comparison. Answer recomputed
  • Look at this series: 1, 4, 9, 16, 25, ... What number comes next? Answer: 36. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number series. Answer recomputed
  • Look at this series: 3, 4, 8, 9, 18, 19, ... What number comes next? Answer: 38. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number series. Answer recomputed
  • Look at this series: 7, 14, 28, 56, ... What number comes next? Answer: 112. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number series. Answer recomputed
  • Look at this series: 64, 60, 30, 26, 13, ... What number comes next? Answer: 9. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number series. Answer recomputed
  • Look at this series: 100, 91, 83, 76, 70, ... What number comes next? Answer: 65. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number series. Answer recomputed
  • The product of 6 and what number is 8 more than 40? Answer: 8. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number manipulations. Answer recomputed
  • What number is 4 less than 2/3 of 36? Answer: 20. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number manipulations. Answer recomputed
  • What number is 25% of 3 times 28? Answer: 21. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number manipulations. Answer recomputed
  • What number is twice the sum of 9 and 1/5 of 30? Answer: 30. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number manipulations. Answer recomputed
  • What number subtracted from 50 leaves 1/2 of 64? Answer: 18. Source: HSPT Interpretive Manual (Scholastic Testing Service, 2021), "Description of the Subtests", page 1: Quantitative Skills, number manipulations. Answer recomputed

How this list was compiled: Outline: the HSPT Interpretive Manual (Scholastic Testing Service, 2021), pages 1 to 3 and 23, https://www.ststesting.com/hp_int_sts.pdf, and the publisher's HSPT pages for parents, https://www.ststesting.com/hspt/. Mathematics standards: the Common Core State Standards, https://www.thecorestandards.org/Math/. Units of measure: Wiktionary, https://en.wiktionary.org/. All read 2026-10-12. Every answer was worked out a second time. Licence: Own work. Every question, answer choice and explanation was written for this page from the manual's description of the subtest. None is taken or reworded from an HSPT, a Pre-HSPT or another practice test. The publisher's public pages carry no sample questions.

How it works

Unofficial HSPT math practice, on screen or printed: 80 questions of our own, 64 for Mathematics, as on the real subtest, and 16 for Quantitative Skills. Not affiliated with or endorsed by Scholastic Testing Service, the publisher of the High School Placement Test.

Read the full guide

Split the way the score profile splits it

The manual's sample score profile counts 29 Mathematics questions on numbers and numeration, 7 on measurements, 12 on geometry, 7 on algebra and 9 on statistics and probability. The 64 here are split the same way.

Two reasoning questions a round

Each round of ten ends with two from Quantitative Skills: a number series, a number manipulation or a comparison of three quantities.

Our own questions

None comes from an HSPT, which the publisher calls a secure test. Every answer was worked out a second time, and each Mathematics question names the school standard its skill falls under.

  • Print the question sheet puts 20 of these on paper. Save as PDF in the print window keeps the file.

Questions and answers

What math is on the HSPT?

The manual says the Mathematics subtest tests computation and problem solving, along with knowledge of concepts in numbers and numeration, measurements, geometry, algebra and statistics. It calls these "elements of a high school curriculum."

How many math questions are on the HSPT?

The Mathematics subtest has 64 questions and the Quantitative Skills subtest has 52, according to the publisher's manual. Together that is 116 of the 298 questions on the test.

Can you use a calculator on the HSPT math section?

No. The manual says that calculators may not be used under standardized conditions on Mathematics or on Quantitative Skills. The publisher's advice is to work problems out on scratch paper or in the test booklet.

What is the difference between quantitative skills and mathematics on the HSPT?

Mathematics is a basic skills subtest: it tests what has been learned. Quantitative Skills is a cognitive skills subtest: it tests reasoning with numbers, and it joins Verbal Skills in the Total Cognitive Skills score.

Is there algebra on the HSPT?

Yes, a little. The manual lists algebra among the areas of the Mathematics subtest, and its sample score profile shows 7 of the 64 questions under algebra: 5 on equality and inequality, 2 on functions and coordinates.

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