ACT Official Style · 20 Questions
Hard-Level
ACT Math Exam
Covering all tested domains — from Pre-Algebra to Advanced Algebra & Trigonometry. Authentic difficulty, full explanations.
📐 Key Formulas to Memorize
- Quadratic Formula: x = (−b ± √(b²−4ac)) / 2a
- Distance: d = √((x₂−x₁)²+(y₂−y₁)²)
- Circle: (x−h)²+(y−k)²=r²
- Law of Sines: a/sinA = b/sinB = c/sinC
- Arc Length: s = rθ (θ in radians)
- Log: log_b(x·y)=log_b(x)+log_b(y)
💡 ACT Strategy Tips
- Eliminate obviously wrong answers first — saves ~30 sec per question
- Plug answer choices back into the original equation when stuck
- Draw diagrams for geometry — even rough sketches help
- On time problems: mark & skip; return before the clock runs out
- Check units — ACT often hides unit mismatches as traps