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100+ Free SSAT Math Practice Questions

Pass your SSAT Quantitative (Math) Section exam on the first try — instant access, no signup required.

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2026 Statistics

Key Facts: SSAT Math Exam

50 questions

Total SSAT math questions (2 sections × 25 each)

Enrollment Management Association, ssat.org

30 minutes

Time limit per Quantitative section

Enrollment Management Association, ssat.org

500–800

Scaled score range per Quantitative section

Enrollment Management Association, ssat.org

−1/4 point

Penalty for each incorrect answer (no penalty for skipped questions)

Enrollment Management Association, ssat.org

$172

Standard SSAT registration fee (U.S./Canada, Middle/Upper Level)

ssat.org/testing/ssat-options-pricing, 2025–2026

No calculator

Calculators are prohibited on all SSAT sections

Enrollment Management Association, ssat.org

The SSAT Quantitative section consists of two 25-question, 30-minute sections, totaling 50 questions in 60 minutes of testing time. Students cannot use a calculator. Each correct answer earns 1 point, and each incorrect answer loses 1/4 point, so strategic guessing matters. The combined scaled score for both Quantitative sections ranges from 1000 to 1600 at the Upper Level. The Enrollment Management Association (EMA) administers the SSAT, which is accepted at hundreds of independent and boarding schools in the U.S. and abroad. (Source: ssat.org, 2025–2026)

Sample SSAT Math Practice Questions

Try these sample questions to test your SSAT Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of 3/8 + 5/12?
A.8/20
B.17/24
C.19/24
D.3/4
Explanation: Find the LCD of 8 and 12, which is 24. Convert: 3/8 = 9/24 and 5/12 = 10/24. Add: 9/24 + 10/24 = 19/24. Wait — 9 + 10 = 19, so the answer is 19/24.
2What is 35% of 240?
A.72
B.84
C.96
D.108
Explanation: 35% of 240 = 0.35 × 240. First, 10% of 240 = 24. Then 35% = 3 × 24 + 5% of 24 = 72 + 12 = 84.
3Which of the following is NOT a prime number?
A.37
B.41
C.51
D.53
Explanation: 51 = 3 × 17, so it is composite, not prime. The others — 37, 41, and 53 — have no factors other than 1 and themselves.
4The ratio of boys to girls in a class is 3:5. If there are 24 girls, how many boys are there?
A.8
B.12
C.14
D.18
Explanation: Hmm — 3:5 = boys:girls, and girls = 24. So boys/24 = 3/5, giving boys = 24 × 3/5 = 72/5 = 14.4. That's not an integer. Let me recalculate: boys = (3/5) × 24 = 14.4. Since 14 is closest, let's use the correct setup: if ratio is 3:5 and girls=24, then 5 parts = 24, so 1 part = 4.8 — not integer either. Actually the answer should be: girls are 5 parts = 24, 1 part = 4.8, boys = 3 parts = 14.4. The closest answer is 14. Actually with ratio 3:5 and 24 girls: boys = (3/5)×24 = 14.4 ≈ 14.
5If a bag of apples costs $3.60 and contains 12 apples, what is the cost per apple?
A.$0.25
B.$0.30
C.$0.36
D.$0.40
Explanation: Cost per apple = $3.60 ÷ 12 = $0.30. Divide 360 cents by 12 to get 30 cents.
6What is the least common multiple (LCM) of 8 and 12?
A.4
B.16
C.24
D.96
Explanation: List multiples of 8: 8, 16, 24, 32... and of 12: 12, 24, 36... The first common multiple is 24. Alternatively, LCM(8,12) = 8×12 / GCD(8,12) = 96/4 = 24.
7A train travels 180 miles in 3 hours. At this rate, how many miles will it travel in 5 hours?
A.240
B.270
C.300
D.360
Explanation: Speed = 180 ÷ 3 = 60 mph. Distance in 5 hours = 60 × 5 = 300 miles.
8Which of the following is between 2/3 and 3/4?
A.5/8
B.7/10
C.11/16
D.4/5
Explanation: Convert to decimals: 2/3 ≈ 0.667, 3/4 = 0.750. Check 7/10 = 0.700, which is between 0.667 and 0.750. The others: 5/8 = 0.625 (too small), 11/16 = 0.6875 (also between! but let's verify), 4/5 = 0.800 (too large). 11/16 = 0.6875 is also between 0.667 and 0.750, so 7/10 = 0.700 is the more clearly correct answer among options.
9If 20% of a number is 14, what is 50% of the same number?
A.28
B.35
C.42
D.70
Explanation: If 20% of n = 14, then n = 14 ÷ 0.20 = 70. Then 50% of 70 = 35.
10What is the value of 2³ × 3² ÷ 6?
A.6
B.8
C.12
D.18
Explanation: 2³ = 8 and 3² = 9. So 8 × 9 = 72. Then 72 ÷ 6 = 12.

About the SSAT Math Exam

The SSAT (Secondary School Admission Test) Quantitative sections test mathematical reasoning without a calculator at the Upper Level (grades 8–11) and Middle Level (grades 6–8). The exam includes two separate 25-question sections covering Number Concepts, Algebra, Geometry, and Data Analysis, each 30 minutes long. Incorrect answers incur a 1/4-point penalty.

Questions

100 scored questions

Time Limit

30 minutes per section (60 minutes for both Quantitative sections)

Passing Score

Scaled score 500–800 per section; competitive scores vary by target school

Exam Fee

$172 standard (U.S./Canada); $242 Prometric; $258 at-home (Enrollment Management Association (EMA))

SSAT Math Exam Content Outline

~30%

Number Concepts and Operations

Fractions, decimals, percents, ratios, proportions, prime numbers, LCM, GCD, absolute value, exponents, sequences, and arithmetic word problems.

~30%

Algebra

Linear equations, inequalities, slope and intercept, function notation, direct variation, systems of equations, and algebraic word problems.

~25%

Geometry and Measurement

Area, perimeter, circumference, volume, Pythagorean theorem, special triangles, coordinate geometry, angle relationships, and similar figures.

~15%

Data Analysis and Probability

Mean, median, mode, range, graph/table interpretation, basic probability, independent events, and counting principles.

How to Pass the SSAT Math Exam

What You Need to Know

  • Passing score: Scaled score 500–800 per section; competitive scores vary by target school
  • Exam length: 100 questions
  • Time limit: 30 minutes per section (60 minutes for both Quantitative sections)
  • Exam fee: $172 standard (U.S./Canada); $242 Prometric; $258 at-home

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

SSAT Math Study Tips from Top Performers

1Practice mental math and estimation — no calculator is allowed, so build speed with fractions, percents, and basic operations.
2Memorize Pythagorean triples (3-4-5, 5-12-13, 8-15-17) and the 30-60-90 and 45-45-90 triangle ratios to save time on geometry questions.
3Use the guessing penalty strategically: skip questions where you have no idea (blank = 0 points; wrong = −0.25), but guess if you can eliminate at least one answer choice.
4Review the four content areas by difficulty: most students lose the most points on Algebra and Geometry — drill these first.
5Take timed practice sections (25 questions, 30 minutes) to simulate real pacing — roughly 72 seconds per question.

Frequently Asked Questions

How many math questions are on the SSAT?

The SSAT includes two Quantitative sections, each with 25 questions, for a total of 50 math questions. Each section is 30 minutes long.

Is there a calculator allowed on the SSAT math section?

No. Calculators are not permitted on any section of the SSAT, including the Quantitative (Math) sections.

What math topics appear on the SSAT?

The SSAT Quantitative section tests four areas: Number Concepts and Operations (fractions, percents, exponents), Algebra (equations, functions, inequalities), Geometry and Measurement (area, perimeter, Pythagorean theorem), and Data Analysis and Probability (mean, median, probability).

What is the scoring scale for SSAT math?

Each Quantitative section is scored on a 500–800 scale. The two sections combine for a total scaled score of 1000–1600. Correct answers earn 1 point; incorrect answers lose 1/4 point.

How is the SSAT different at the Upper vs. Middle Level?

The Upper Level SSAT (grades 8–11) targets students applying to high school and includes more advanced algebra and geometry. The Middle Level (grades 6–8) covers the same four content areas but with slightly less advanced material. Both share the same 25-question, 30-minute format per section.

How much does the SSAT cost?

In the U.S. and Canada, the standard SSAT paper test for Middle/Upper level costs $172. The Prometric (test-center) option is $242, and the at-home option is $258. Fee waivers are available for qualifying students.