What Math Topics are Covered on the ACT?

Short answer: The ACT math test has 45 multiple-choice questions in 50 minutes and covers math taught through the start of 12th grade. About 80% of questions test higher math: algebra, functions, geometry, statistics and probability, and number and quantity. The other 20% test core skills like percentages, rates and proportions. A calculator is allowed.

The ACT changed in 2025, so many prep guides still describe the old 60-question test. This guide covers the current enhanced ACT, what each topic area includes, and how to prepare.

Key points

• 45 questions, 50 minutes: That is about 67 seconds per question, more time than the old test allowed.
• Two big categories: Preparing for Higher Math is 80% of the test; Integrating Essential Skills is 20%.
• Five higher-math areas: Algebra, functions and geometry are the largest, with statistics and number skills close behind.
• Calculator allowed: Bring an approved calculator; it helps, but it does not replace algebra.
• Science is optional: The Composite score now averages English, math and reading only.
• Through 11th grade math: Expect Algebra 1, Geometry, Algebra 2 and some trigonometry, not calculus.

What is the format of the ACT math test?

ACT introduced an enhanced version of the test for online national testing in April 2025 and for paper testing in September 2025. State and district school-day testing moved to the enhanced format starting in spring 2026 (ACT enhancements FAQ).

• 45 math questions
• 50 min time for the math section
• ~67 sec average time per question
• 1–36 math score scale

Because there is no science section in the Composite, math now counts for one third of your Composite score instead of one quarter. That makes math prep more valuable than it used to be.

What math topics are covered on the ACT?

ACT says the math test measures the skills students have typically learned in courses up to the beginning of grade 12. It reports results in these categories (ACT math test description):

The first five rows together make up the Preparing for Higher Math category (80%). ACT also tags Modeling questions, which ask you to turn a real situation into math. Those questions are counted inside the other categories rather than as extra questions.

Algebra

Expect to solve and rearrange equations, work with inequalities and systems, and handle quadratics by factoring or with the quadratic formula.

Example: If 3x − 7 = 2x + 5, what is x? Subtract 2x from both sides to get x − 7 = 5, so x = 12.

Functions

Questions ask you to evaluate f(x), read graphs, compare linear and exponential growth, and recognize how a graph shifts or stretches.

Example: If f(x) = x² − 4x, what is f(−2)? Substitute: (−2)² − 4(−2) = 4 + 8 = 12. Watch the negative signs, which is where most errors happen.

Geometry

Know area and volume formulas, the Pythagorean theorem, special right triangles, circle facts, congruent and similar triangles, and SOHCAHTOA. Our post on trigonometry covers the trig basics.

Example: A right triangle has legs 6 and 8. The hypotenuse is √(6² + 8²) = √100 = 10.

Statistics and Probability

Expect mean and median, how outliers change them, reading tables and charts, and simple and compound probability.

Example: A bag has 3 red and 5 blue marbles. The probability of drawing red is 3 ÷ 8 = 0.375.

Number and Quantity

This smaller area covers properties of numbers, exponents and roots, and occasionally complex numbers, vectors or matrices.

Example: i² = −1, so (2 + i)(2 − i) = 4 − i² = 4 + 1 = 5.

Integrating Essential Skills

These are the “everyday math” questions: percent change, unit rates, proportions and averages, often inside a longer word problem.

Example: A $40 shirt is marked down 25%. The sale price is 40 × 0.75 = $30.

Is a calculator allowed on ACT math?

Yes. You can use a calculator on the whole math test, as long as it meets ACT’s calculator policy, which bans certain models and features. Check your calculator against the policy well before test day.

Tutor tip: A calculator is a tool, not a strategy. Graphing a problem to find where two lines cross is often slower than three lines of algebra, so practice both and learn which is faster for each question type.

How hard is the math on the ACT?

The math stops short of calculus. A student who has finished Algebra 2 has seen nearly every topic. The challenge is speed and accuracy: about 67 seconds per question, with no penalty for wrong answers, so you should answer every question.

Many students lose points not because they do not know a topic, but because they solve it the long way. Our SAT and ACT tutor Caleb Nastasi trains students to look for the shortcut:

“A lot of it is: here’s something you’ve seen before. What’s the fastest, most efficient way to solve it? Or which approach lets you eliminate two answers right away?”

Caleb Nastasi, Alexander Tutoring SAT tutor

With four answer choices instead of five, eliminating even one wrong answer raises your odds on a guess from 25% to about 33%.

For the errors we see most often, read the most common ACT math mistakes.

How should you study for ACT math?

1. Take a full official practice test. Time it at 50 minutes for 45 questions to get an honest baseline.
2. Sort your misses by category. Use the table above. Most students find one or two areas, often functions or geometry, cost the most points.
3. Learn the method, then drill it. Practice one skill until it is fluent before mixing it back into full tests.
4. Build an error log. For every miss, write whether it was a concept gap, a careless slip, or a timing problem.
5. Retest every two to three weeks. Track your math score and your category scores over time.

Tutor tip: Pace with checkpoints. At 50 minutes for 45 questions, aim to be near question 23 by the 25-minute mark, and do not let any one question eat more than two minutes on a first pass.

For more on timing and planning, see our ACT math tips, ACT study resources, and when to start preparing for the SAT or ACT. If you are still choosing a test, read ACT vs. SAT.

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