ACT® · Math: Pacing, Four Choices, and Question Strategy
No Formula Sheet: What You Have to Carry In
The math section gives you no formula sheet, so you need about a dozen core geometry and algebra formulas memorized cold. Anything rarer gets written right into the question that needs it.
Other tests print a page of formulas up front. This one doesn't. That single fact shapes how you should prepare: you need a small, fixed toolkit sitting in memory before the clock starts, because you will not get a reminder mid-section. The good news is that toolkit is short. Area and perimeter of triangles, rectangles, and circles, the Pythagorean theorem, volume of a box, cylinder, cone, and sphere, the distance and midpoint formulas, slope, and basic trig ratios cover nearly every geometry item that shows up on a given form. That's a dozen facts, not a textbook.
Here's the part that saves you from panic: you do not need to memorize obscure formulas like the law of sines or the law of cosines. When a question needs one of those, the question itself hands it to you, usually as a diagram label or a line of given information right inside the problem. The test expects fluency with the common stuff and scaffolds the rare stuff. That split is deliberate, so don't burn study time chasing every formula you've ever seen in a textbook index.
This connects directly to pacing. With sixty-seven seconds per item on average, every second spent reconstructing a formula from scratch is a second stolen from reading the question carefully or checking your arithmetic. Walking in with the core list automatic means geometry items become quick wins instead of time sinks, which is exactly what a no-reference-sheet, four-choice format rewards.
Key terms
- Scaffolded formula
- An unusual formula the test writes directly into a question instead of expecting it from memory.
- Core toolkit
- The small set of common algebra and geometry formulas, roughly a dozen, expected to be memorized before the test.
- Law of sines
- A trig relationship between a triangle's side lengths and the sines of its angles, supplied in-question rather than memorized.
- Volume of a sphere
- The formula V = (4/3)·π·r3, giving the space enclosed by a sphere of radius r.
Watch it explained
- How it worksHow do a dozen memorized formulas cover nearly every geometry item on an ACT math form?
- Worked exampleFind the volume of a sphere of radius 3 from memory, with no formula sheet to look at.
- Common mistakeWhy isn't memorizing every formula necessary when unusual ones are scaffolded inside the item?
Check yourself
End of topic.