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The ACT® Math Section: A Complete Guide

Math is the section that intimidates parents most and rewards focused work most consistently. Most students already know the math. The work is learning how the ACT® asks about it.

Forty-five questions. Fifty minutes. Second section of the test, right after English. Scored 1 to 36. This guide covers what is on it, what changed in 2025, what to study, and how to study it.

What changed in 2025

The Enhanced ACT® cut Math from 60 questions to 45 and from 60 minutes to 50. That works out to about 67 seconds per question — roughly 25 percent more time than before.

Three changes worth knowing:

Every question now has four answer choices instead of five. Better guessing odds, less decision fatigue, no real downside.
The content did not change. Same topics, same skills, same difficulty curve.
The order-of-difficulty curve is still real. The first 15 questions are noticeably easier than the last 15. The early questions are where most students leave points on the table.

Same 1-to-36 scale. Same scoring. The test is shorter, not easier.

How the section works

One long section. Forty-five problems, ordered roughly from easy to hard. Calculator allowed on every question.

The big mental shift: this is not a high school math test. The ACT® wraps each problem in a paragraph of text. A lot of the difficulty is just reading the question carefully enough to know what to solve for. Students who breeze through math class often lose points here because they are not used to reading word problems back-to-back for fifty minutes.

You will not run out of math you can do. You will run out of time if you get stuck. Skip the questions that are not moving. Come back to them.

What is actually tested

The Math section pulls from middle school through Algebra II, with a few topics from Pre-Calc that appear once or twice per test. Most of it is review. Each topic below links to a full guide.

1. Fundamentals

These appear on every test, mostly in the first 25 questions. If you miss points here, you are missing the most catchable points on the section.

PEMDAS — order of operations on every problem
Number definitions — integers, rationals, primes, factors
Positive and negative signs — where most students lose the easiest points
Fractions
Percent
Absolute value
Exponents — nine rules, high frequency on the test
Scientific notation
LCM and GCF

2. Algebra

The core of the test. Most students have seen all of this in Algebra I and II.

Functions
Functions without equations — translating word problems into formulas
Systems of equations
Inequalities
Quadratics
Piecewise functions
Rate and ratio
Remainder problems
Arithmetic and geometric sequences

3. Geometry and coordinate geometry

Plane geometry and coordinate geometry. No proofs, no constructions. If you can find a length or an angle, you can answer the question.

4. Trigonometry

Far less than students fear. The trig on the ACT® is basic. SOH-CAH-TOA covers most of it. Students who have not had trig yet can still pick up these points with a few hours of focused study.

Trigonometric functions — SOH-CAH-TOA and the unit circle basics
Advanced trig — identities and the few questions that go past the basics

5. Statistics, probability, and data

The math here is rarely hard. The reading is what catches students. Reading charts and tables under time pressure is an underrated skill on this section.

Average — mean, median, mode
Statistics terms
Advanced statistics terms
Probability and expected value
Factorials, permutations, and combinations
Tables, diagrams, and charts

6. Advanced topics

These rotate. Each one shows up roughly once per test, sometimes not at all. You either know them or you do not. If your target score is below 28, do not spend time here — the points are easier to find in the fundamentals. If your target is 32 or higher, learn them.

Strategy on test day

The full guide is here: the best ACT® Math strategies. The short version:

Read the question. The number-one error on this section is solving the wrong problem because the student missed a detail in the setup.
Plug in the answer choices when the problem has variables and the answers are real numbers. One of them is right. Test them.
Plug in your own numbers when both the question and the answers have variables. Use easy numbers — not 0, not 1, not negatives.
Eliminate visibly wrong answers before solving. Sometimes you do not need to do the math at all.
Skip and come back. If a problem is not moving in 90 seconds, mark it and move on. Every question is worth the same.

How to study

Math improvement is incremental and steady. The work is identifying which specific topics are costing points and fixing them one at a time.

Take a real ACT® Math section under timed conditions.
Mark every missed question. Group them by topic.
Read the article above for each topic and redo the missed questions cold.
Take a fresh section under timed conditions. Repeat.

Most students who do this honestly pick up three to five points on the Math section over a focused month. Some pick up more. The cap depends mostly on baseline arithmetic and how willing the student is to slow down and read the question.

Frequently asked questions

How many questions are on the ACT® Math section?

Forty-five multiple-choice questions, each with four answer choices.

How long is the ACT® Math section?

Fifty minutes. It is the second section, right after English.

Can students use a calculator on the ACT® Math?

Yes, on every question. Approved graphing calculators — including most TI-83 and TI-84 models — are allowed. Bring fresh batteries. The ACT® website publishes the full approved list.

What math do students need to know?

Pre-Algebra through Algebra II covers the large majority of the test, plus a small amount of basic trigonometry. A handful of advanced topics — logarithms, matrices, vectors — appear once per test. Most students finish the required coursework by the end of junior year.

Is the ACT® Math harder than it used to be?

No. The Enhanced ACT® has fewer questions and more time per question. The content and the difficulty curve are unchanged. The fifth answer choice was removed, which slightly improves guessing odds.

What is the most-missed topic on the Math section?

Sign errors. The math itself is rarely the problem. Students lose points to negatives in front of parentheses, dropped negatives in exponents, and arithmetic mistakes under time pressure. Slowing down on the early questions saves more points than grinding the hard ones.

Do students need to memorize formulas?

A few. Distance, midpoint, slope, area of common shapes, basic trig ratios, and the quadratic formula come up often enough to be worth memorizing. Beyond those, the test either gives the formula in the question or does not ask anything that requires one.

Should students take advanced math classes to prepare?

Algebra II is the most important prerequisite. Pre-Calc helps. Calculus is not required and does not appear on the test. Students without Pre-Calc can still score in the high 30s with focused work on the topics that actually show up.

How much can a student improve on the Math section?

With targeted study, a three-to-five-point jump in a month is realistic for most students. Improvement on Math is slower than on English but more predictable. The work is finite: there is a fixed list of topics, and each one can be learned.