Math Practice for the ACT
The ACT Math section is 60 multiple-choice questions in 60 minutes, ordered roughly easiest-to-hardest. Topics span pre-algebra (about 14 questions), elementary algebra (10), intermediate algebra (9), coordinate geometry (9), plane geometry (14), and trigonometry (4). Each question has five answer choices (A–E or F–K).

Subtopic drills
The Math section breaks down into 6 recurring question types. Click any subtopic to see graded drill sets.
Pre-Algebra
Fractions, decimals, percents, ratios, exponents, square roots, basic statistics, sequences.
Elementary Algebra
Linear equations, inequalities, FOIL, factoring, evaluating algebraic expressions.
Intermediate Algebra
Quadratics, systems of equations, functions, exponents, logarithms, complex numbers, matrices.
Coordinate Geometry
Slope, distance, midpoint, line equations, parabolas, circles in the (x,y) plane.
Plane Geometry
Triangles, polygons, circles, area, volume, congruence, similarity, parallel lines.
Trigonometry
SOHCAHTOA, special angles, the unit circle, identities, basic trig graphing.
How the Math section is scored
Your raw score (number correct out of 60) is converted to a 1–36 scaled score. Math is the only ACT section with five answer choices instead of four — guessing odds drop from 25% to 20%, but there is still no penalty, so always bubble.
Strategy notes
Skip-and-return aggressively. Math is ordered easiest-to-hardest; if a question is taking more than 90 seconds and you do not see the path, mark it and come back. The 60th question is worth the same point as the 1st.
Plug in real numbers when variables are abstract. If a question asks "for which value of n is 3n+5 always odd?" pick n=1, n=2, n=4 and just check. This is faster and more reliable than algebra for most ACT-level problems.
Use the answer choices. If the question is "what is x?" and the choices are 2, 4, 7, 11, 13 — try the middle one in the equation. The ACT often gives you a 30-second arithmetic check instead of a 3-minute algebraic solve.
Common mistakes
- Forgetting the order of operations on intermediate-algebra problems with negative signs and exponents.
- Mixing up sine and cosine for special angles. Memorize the unit circle for 0, 30, 45, 60, 90 — those four angles are tested every time.
- Confusing area and circumference formulas under time pressure. Write them in your booklet at the start of the section.
- Misreading "least" vs "greatest" or "is not" vs "is" — about half of all math errors on practice tests are reading errors, not math errors.
What to drill first
Start with pre-algebra and elementary-algebra drills — together they are about 40% of the section and where the easiest points live. Then move into coordinate geometry and plane geometry, which together are another 38%.
Recommended Reading
- Official ACT Math outlineact.org
- Top study mistakes for ACT Mathprepscholar.com