Free PSAT Math Practice Test 2026 (With Answers & Solutions)
6 Full-Length PSAT / NMSQT Math Practice Tests: Extra Test Prep to Help Ace the PSAT Math Test Original price was: $18.99.$12.99Current price is: $12.99.Download
PSAT Subject Test Mathematics: Student Practice Workbook + Two Full-Length PSAT Math Tests Original price was: $18.99.$12.99Current price is: $12.99.Download
PSAT Math Practice Book 2020: Extra Exercises and Two Full Length PSAT Math Tests to Ace the Exam Original price was: $18.99.$12.99Current price is: $12.99.Download
How to Prepare for the PSAT/NMSQT Math
MCAP Math Prep Tips for Maryland StudentsFree PSAT Math Practice Test (With Answers & Step-by-Step Solutions)
Test your skills with 10 PSAT/NMSQT-style math questions — each with a worked solution — then keep practicing with free worksheets and study books.
What’s on the PSAT Math Test?
The PSAT/NMSQT is the practice SAT run by the College Board. Taken mainly by sophomores and juniors, it previews the SAT and (for juniors) qualifies students for the National Merit Scholarship Program.
Like the SAT, the PSAT is now fully digital and adaptive. The Math section has 44 questions across two modules with a 70-minute limit, and a built-in Desmos calculator is allowed on every question.
The content matches the SAT: Algebra (linear equations and systems), Advanced Math (quadratics, exponentials, functions), Problem-Solving & Data Analysis (ratios, percentages, statistics), and Geometry & Trigonometry.
Scoring: PSAT Math is scored from 160 to 760 (slightly below the SAT’s 200–800), and the total PSAT score ranges 320–1520. Strong PSAT scores preview a strong SAT.
A Simple 4-Week PSAT Math Study Plan
Free PSAT Math Practice Test
Work through 10 PSAT-style questions one at a time. Answer, tap Show answer, then press Next.
Solve: 3x + 4 = 19.
- A) 3
- B) 5
- C) 7
- D) 15
Show answer
A $50 item is 20% off. What is the sale price?
- A) $30
- B) $40
- C) $45
- D) $48
Show answer
If x + 2y = 12 and x = 4, what is y?
- A) 2
- B) 4
- C) 6
- D) 8
Show answer
Solve: x² − 6x + 8 = 0.
- A) 1, 8
- B) 2, 4
- C) −2, −4
- D) 3, 5
Show answer
Simplify: x⁵ ÷ x².
- A) x²
- B) x³
- C) x⁷
- D) x¹⁰
Show answer
If f(x) = 2x − 5, what is f(6)?
- A) 5
- B) 7
- C) 12
- D) 17
Show answer
In a 2 : 7 ratio, if the first quantity is 6, what is the second?
- A) 14
- B) 18
- C) 21
- D) 28
Show answer
What is the mean of 4, 8, 12, and 16?
- A) 8
- B) 10
- C) 12
- D) 40
Show answer
What is the circumference of a circle with radius 3?
- A) 3π
- B) 6π
- C) 9π
- D) 12π
Show answer
Slope of the line through (1, 2) and (4, 11)?
- A) 2
- B) 3
- C) 4
- D) 9
Show answer
Nice work — you finished all 10!
Keep practicing with free PSAT math worksheets.
Practice by Topic
Find your weak spots, then drill each with our free math worksheets:
Free PSAT Math Resources
Related PSAT Math Books
Browse our PSAT Math library — scroll for more, or see all books.
PSAT Math Formulas You Should Know
- Slope: m = (y₂ − y₁) ÷ (x₂ − x₁).
- Slope-intercept: y = mx + b.
- Quadratic formula: x = (−b ± √(b² − 4ac)) ÷ 2a.
- Area of a circle: A = πr²; circumference C = 2πr.
- Pythagorean theorem: a² + b² = c².
- Percent change: (new − old) ÷ old × 100.
Tips to Boost Your PSAT Math Score
- Treat it as SAT practice — the skills transfer directly.
- Learn the built-in Desmos calculator before test day.
- Answer every question — there’s no penalty for guessing.
- Do module one carefully — it sets the difficulty of module two.