A Proper Guideline of HSPT Practice Test
HSPT Math Practice Book: Complete Content Review Plus 2 Full-length HSPT Math Tests Original price was: $18.99.$12.99Current price is: $12.99.Download
HSPT Math Exercise Book: Review of Essential Skills and Concepts With 2 HSPT Math Practice Tests Original price was: $18.99.$12.99Current price is: $12.99.Download
Algebra 1: Student Practice Workbook + Two Full-Length Algebra 1 Exams Original price was: $18.99.$12.99Current price is: $12.99.Download
MCAP Math Prep Tips for Maryland Students
7 AK STAR Middle School Prep Tips (Alaska)Free HSPT Math Practice Test (With Answers & Step-by-Step Solutions)
Test your skills with 10 HSPT-style math questions covering the Mathematics and Quantitative Skills subtests — each with a full worked solution.
What’s on the HSPT Math Test?
The HSPT (High School Placement Test) is used for admission to many Catholic and private high schools. It is usually taken by 8th-graders and includes five subtests; two of them — Mathematics and Quantitative Skills — measure your math ability.
Mathematics — 64 questions in 45 minutes. This subtest covers arithmetic, elementary algebra, mathematical concepts and problem-solving, and basic geometry.
Quantitative Skills — 52 questions in 30 minutes. This subtest focuses on number series, number manipulation, and geometric and non-geometric comparisons — it rewards logical reasoning and pattern recognition.
Scoring: a calculator is not allowed on either subtest, so practice quick mental math. The HSPT reports standard scores, national percentiles, and a Cognitive Skills Quotient; your math performance feeds the Total Basic Skills and Total Cognitive Skills scores.
A Simple 4-Week HSPT Math Study Plan
Free HSPT Math Practice Test
Work through 10 HSPT-style questions one at a time. Tap Show answer for a full worked solution, then use Next to continue.
Q1 · Mathematics
A car travels 150 miles in 3 hours. What is its average speed?
- A) 45 mph
- B) 50 mph
- C) 55 mph
- D) 60 mph
Show answer
Q2 · Mathematics
Solve for x: 4x + 5 = 25.
- A) 4
- B) 5
- C) 6
- D) 7
Show answer
Q3 · Mathematics
What is 25% of 80?
- A) 15
- B) 20
- C) 25
- D) 40
Show answer
Q4 · Quantitative Skills
What number comes next: 3, 6, 12, 24, ___ ?
- A) 30
- B) 36
- C) 48
- D) 28
Show answer
Q5 · Mathematics
What is 3/5 of 60?
- A) 24
- B) 30
- C) 36
- D) 40
Show answer
Q6 · Mathematics
A rectangle has length 8 and width 5. What is its area?
- A) 13
- B) 26
- C) 40
- D) 45
Show answer
Q7 · Quantitative Skills
Which is the greatest value?
- A) ½ of 20
- B) 30% of 40
- C) 4²
- D) They are equal
Show answer
Q8 · Mathematics
If x² = 49 and x is positive, what is x?
- A) 6
- B) 7
- C) 8
- D) 24.5
Show answer
Q9 · Mathematics
A $20 shirt is marked down 15%. What is the sale price?
- A) $15
- B) $17
- C) $18
- D) $19
Show answer
Q10 · Quantitative Skills
What number is missing: 2, 5, 11, 23, ___ ?
- A) 35
- B) 46
- C) 47
- D) 48
Show answer
Nice work — you finished all 10!
Keep practicing with free HSPT math worksheets.
Practice by Topic
Find your weak spots, then drill each with our free HSPT math worksheets:
Free HSPT Math Resources
Related HSPT Math Books
Browse our HSPT Math library — full content review and practice tests.
HSPT Math Formulas You Should Know
- Percent: part = percent × whole.
- Distance: distance = speed × time.
- Average: average = sum ÷ number of items.
- Rectangle: area = l × w; perimeter = 2(l + w).
- Triangle: area = ½ × base × height.
- Circle: area = πr²; circumference = 2πr.
- Pythagorean theorem: a² + b² = c².
Tips to Boost Your HSPT Math Score
- No calculator — sharpen mental math and estimation by hand.
- Watch the clock — Quantitative Skills gives only about 35 seconds per question.
- Translate word problems into equations before solving.
- Memorize the core formulas — none are provided on the test.
- For number series, find the rule (add, multiply, or alternate) between terms.