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100+ Free ACT Math Practice Questions

Pass your ACT Mathematics Section exam on the first try — instant access, no signup required.

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An angle measures 5π/6 radians. What is its measure in degrees?

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Key Facts: ACT Math Exam

45 questions, 50 minutes

ACT Math section length (enhanced 2025 format)

ACT Inc.

41 scored + 4 unscored field-test questions

ACT Math scored vs. unscored breakdown

ACT Inc. Design Framework, February 2026

1–36 scale; benchmark 22; median ~19

ACT Math scoring scale and benchmarks

ACT Inc.

80% Preparing for Higher Math; 20% Integrating Essential Skills

ACT Math content distribution (enhanced format)

ACT Inc. official test description

4 answer choices per question (reduced from 5 in 2025)

ACT Math answer choice format change

ACT Inc. enhanced ACT launch, April 2025

34+ score required for top 1% nationally

ACT Math percentile benchmark

ACT Inc. national score data

The enhanced ACT Math section (April 2025) contains 45 questions — 41 scored and 4 embedded field-test items — to be completed in 50 minutes with a calculator permitted. Scores range from 1 to 36; the ACT college-readiness benchmark for math is 22, and the national median is approximately 19. The section is divided into two primary reporting categories: Preparing for Higher Math (80% of scored questions, covering Number & Quantity, Algebra, Functions, Geometry, and Statistics & Probability) and Integrating Essential Skills (20%, covering rates, percentages, area, and proportional reasoning). A secondary Modeling classification applies to at least 20% of questions. (Sources: ACT Inc. official test description; ACT Design Framework February 2026.)

Sample ACT Math Practice Questions

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

1If 3x + 7 = 22, what is the value of x?
A.3
B.5
C.7
D.9
Explanation: Subtract 7 from both sides: 3x = 15. Divide both sides by 3: x = 5. Always isolate the variable by performing inverse operations.
2What is the slope of the line passing through the points (2, 5) and (6, 13)?
A.1
B.2
C.3
D.4
Explanation: Slope = (y₂ - y₁)/(x₂ - x₁) = (13 - 5)/(6 - 2) = 8/4 = 2. The slope measures the rate of change in y per unit change in x.
3Simplify: (2x³y²)(3x²y⁴)
A.5x⁵y⁶
B.6x⁵y⁶
C.6x⁶y⁸
D.5x⁶y⁸
Explanation: Multiply coefficients: 2 × 3 = 6. Add exponents of like bases: x³ · x² = x⁵ and y² · y⁴ = y⁶. Result: 6x⁵y⁶.
4A store is offering a 30% discount on a jacket originally priced at $80. What is the sale price?
A.$24
B.$50
C.$56
D.$64
Explanation: Discount amount = 30% × $80 = 0.30 × 80 = $24. Sale price = $80 − $24 = $56. Alternatively, the sale price is 70% of the original: 0.70 × $80 = $56.
5Which of the following is equivalent to √72?
A.6√2
B.8√2
C.6√3
D.4√3
Explanation: Factor 72 into perfect square times remaining: 72 = 36 × 2. So √72 = √36 · √2 = 6√2. Always look for the largest perfect-square factor.
6For what value of x is the equation 2(x − 3) = 4x − 10 true?
A.−4
B.−2
C.2
D.4
Explanation: Expand: 2x − 6 = 4x − 10. Subtract 2x from both sides: −6 = 2x − 10. Add 10: 4 = 2x. Divide by 2: x = 2.
7A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
A.9
B.10
C.11
D.14
Explanation: By the Pythagorean theorem: c² = 6² + 8² = 36 + 64 = 100. Therefore c = √100 = 10. The 6-8-10 triple is a multiple of the 3-4-5 Pythagorean triple.
8If f(x) = 3x² − 2x + 1, what is f(−1)?
A.0
B.2
C.6
D.8
Explanation: Substitute x = −1: f(−1) = 3(−1)² − 2(−1) + 1 = 3(1) + 2 + 1 = 3 + 2 + 1 = 6. Be careful with signs when squaring negatives.
9A data set has the values: 4, 7, 9, 9, 11, 13, 15. What is the mean of this data set?
A.8
B.9
C.9.71
D.10
Explanation: Sum = 4 + 7 + 9 + 9 + 11 + 13 + 15 = 68. Mean = 68 ÷ 7 ≈ 9.71. The mean is the sum of all values divided by the count of values.
10What is the area of a circle with a radius of 5?
A.10π
B.25π
C.50π
D.100π
Explanation: Area of a circle = πr². With r = 5: A = π(5²) = 25π. Note that circumference = 2πr = 10π, which is a common distractor.

About the ACT Math Exam

The ACT Mathematics section is a 45-question, 50-minute multiple-choice test that is the second required section of the enhanced ACT (launched April 2025). All questions are 4-option multiple-choice, arranged in increasing order of difficulty, and calculators are fully permitted. The section measures mathematical skills taught through junior year of high school, from pre-algebra fundamentals to trigonometry and statistics.

Questions

45 scored questions

Time Limit

50 minutes

Passing Score

Scored 1–36; college-readiness benchmark: 22; median: ~19

Exam Fee

$67–$93 (full ACT registration fee) (ACT Inc.)

ACT Math Exam Content Outline

12–15%

Algebra

Linear and quadratic equations, systems, inequalities, polynomials, rational and radical expressions.

12–15%

Functions

Function notation, evaluation, composition, inverse, and transformations; exponential and logarithmic functions.

12–15%

Geometry

Plane and coordinate geometry, similarity, congruence, area, volume, circles, distance/midpoint formula, conic sections.

8–12%

Statistics and Probability

Measures of center and spread, scatter plots, correlation, regression, counting, and probability.

10–12%

Number and Quantity

Rational and irrational numbers, exponents, radicals, complex numbers, vectors, matrices, sequences.

~20%

Integrating Essential Skills

Multi-step problems requiring rates, percentages, proportional reasoning, area/surface area/volume, and averages.

How to Pass the ACT Math Exam

What You Need to Know

  • Passing score: Scored 1–36; college-readiness benchmark: 22; median: ~19
  • Exam length: 45 questions
  • Time limit: 50 minutes
  • Exam fee: $67–$93 (full ACT registration fee)

Keys to Passing

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

ACT Math Study Tips from Top Performers

1Memorize the 30-60-90 and 45-45-90 triangle ratios, the unit circle values for 0°, 30°, 45°, 60°, and 90°, and key formulas like the quadratic formula and the distance/midpoint formulas.
2Practice working problems from the end of the section first in timed sessions — ACT Math increases in difficulty, so the last 10 questions take the most time.
3For Integrating Essential Skills questions, set up a proportion or equation before calculating; these multi-step problems reward organized work.
4Use the answer choices strategically: if the algebra gets complex, substitute answer choices back into the equation to verify (back-solving).
5Review logarithm and exponential rules, function transformations, and the Law of Sines/Cosines if targeting a score of 28+, as these appear in the harder final questions.

Frequently Asked Questions

How many questions are on the ACT Math section?

The enhanced ACT Math section (2025 format) has 45 multiple-choice questions, of which 41 are scored and 4 are embedded field-test questions that don't count toward your score.

How long is the ACT Math section?

You have 50 minutes for the ACT Math section, giving you approximately 1 minute 7 seconds per question on average.

Is a calculator allowed on ACT Math?

Yes. Calculators are permitted for the entire ACT Math section as long as they comply with the ACT calculator policy. If taking the digital ACT, a built-in calculator is available on the testing platform.

What is a good ACT Math score?

The ACT college-readiness benchmark for math is 22. The national median is approximately 19. A score of 30 is roughly the 95th percentile, and 34+ places you in the top 1% of test-takers.

What topics does ACT Math cover?

ACT Math covers Algebra (12–15%), Functions (12–15%), Geometry (12–15%), Statistics & Probability (8–12%), and Number & Quantity (10–12%) under the Preparing for Higher Math category, plus Integrating Essential Skills (~20%) covering rates, proportions, and basic geometry applications.

How is the enhanced ACT Math different from the old version?

The enhanced ACT (April 2025) reduced Math from 60 questions in 60 minutes to 45 questions in 50 minutes, cut answer choices from 5 to 4, and shifted the content distribution so that 80% of questions now cover higher-level (high school) math and only 20% cover pre-high-school content (down from 40%).