ACT MATH GUIDE

ACT Math Strategies & Practice Guide

All 5 ACT Math reporting categories — with the formula sheet the ACT doesn't provide and topic-by-topic strategies.

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ACT Math Section Overview

The ACT Math section has 45 questions in 50 minutes (67 seconds per question). All questions have four answer choices (A–D). Calculator use is permitted throughout. Questions are roughly ordered by difficulty: the first 20 are foundational, questions 21–35 are moderate, and questions 36–45 are hardest.

The five reporting categories are: Pre-Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry, Plane Geometry, Trigonometry, and Integrating Essential Skills. The ACT does not provide a formula sheet — the formulas below are what you need memorized on test day.

The Formula Sheet the ACT Doesn't Give You

Triangles
  • Area = ½bh
  • Pythagorean: a² + b² = c²
  • 30-60-90: 1 : √3 : 2
  • 45-45-90: 1 : 1 : √2
Circles
  • Area = πr²
  • Circumference = 2πr
  • Arc length = (θ/360) × 2πr
  • Sector area = (θ/360) × πr²
Coordinate Geometry
  • Slope = (y₂−y₁)/(x₂−x₁)
  • Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
  • Distance = √((Δx)²+(Δy)²)
  • Circle: (x−h)²+(y−k)²=r²
Trigonometry
  • SOH: sin θ = opp/hyp
  • CAH: cos θ = adj/hyp
  • TOA: tan θ = opp/adj
  • sin²θ + cos²θ = 1

Topic Guides

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Adaptive sessions across all 5 ACT Math topics. AI tutor explains every wrong answer step by step.

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