Sample ACT Questions and Answers

Sample ACT questions—spanning Math, English, Reading, and Science—along with their
answers. These examples illustrate the types of challenges you might encounter on test day.



1. Math – Linear Equation

Question: Solve for x:
2x + 3 = 11
Answer: x = 4



2. Math – Function Evaluation

Question: Given f(x) = x² – 3x + 2, what is f(3)?
Answer: f(3) = 3² – 3×3 + 2 = 9 – 9 + 2 = 2



3. Math – Geometry

Question: What is the area of a triangle with a base of 10 units and a height of 6 units?
Answer: Area = ½ × 10 × 6 = 30 square units



4. Math – Expression Simplification

Question: Simplify the expression:
3(x – 4) + 2(2x + 1)
Answer: 3x – 12 + 4x + 2 = 7x – 10



5. Math – Rate Problem

Question: A car travels 150 miles in 3 hours. What is its average speed?
Answer: Average speed = 150 miles ÷ 3 hours = 50 mph



6. English – Grammar (Subject-Verb Agreement)