The hardest ACT Math topics for most students are advanced functions, trigonometry, complex word problems, and the occasional matrix, logarithm, or imaginary-number question. These tend to cluster near the end of the section, where questions get tougher.
Functions and their transformations
Composite functions, transformations (shifts and stretches), and interpreting function notation trip up many students. Practice reading what a function is doing rather than just plugging in numbers.
Trigonometry
Beyond SOHCAHTOA, the ACT can ask about the unit circle, graphs of trig functions, and identities. It's a small share of questions but a common weak spot, so don't skip it if you want a high score.
Multi-step word problems
The toughest questions hide simple math inside dense wording. The skill is translation: turning sentences into equations. Slow down on setup; the calculation is usually easy once you've modeled it correctly.
Rare topics: matrices, logs, imaginary numbers
A few questions per test cover matrices, logarithms, or complex numbers. Learn the basics so they're not automatic misses; they become predictable once you've seen a few.
Geometry with multiple steps
Combined-shape area, 3D volume, and coordinate-geometry proofs require chaining several formulas. Make sure your formulas are automatic so you can focus on the logic.
Attack your hardest topics directly
Identify which of these hurt you most and drill them on thirty-six's concept quizzes. Then fold them into a full plan with how to improve your ACT Math score and improving from 30 to 36.
Start practicing
Start with a free diagnostic, then drill your weak spots with 15-question quizzes and track how you're doing across Reading, English, and Math. Compare plans whenever you're ready to go further.
This article offers general ACT prep guidance. The ACT can change from year to year, including its format, scoring, policies, test dates, and fees, so always confirm the latest details on the official ACT website at act.org before you make decisions. ACT® is a registered trademark of ACT, Inc. thirty-six is not affiliated with, endorsed by, or sponsored by ACT.