ACT Practice Test: Math Questions
Disclaimer: This practice test is designed to provide practice with the types of questions, passages, data displays, and time-management challenges often seen on the ACT. It is independently developed for educational purposes and is not affiliated with, endorsed by, or associated with ACT, Inc. The ACT name is used solely for reference. This test is intended as a study aid for students preparing for college admission assessments.
Directions: Solve each question and select the best answer from the given options. You may use a calculator unless otherwise stated. All figures are not necessarily drawn to scale.
1. If x = 5, what is 3x + 4?
A. 19
B. 20
C. 15
D. 25
2. Solve: 2x − 7 = 9
A. 8
B. 6
C. 5
D. 7
3. What is the value of (4² − 3²)?
A. 7
B. 16
C. 9
D. 25
4. If a triangle has angles 50° and 60°, what is the third angle?
A. 80°
B. 70°
C. 90°
D. 60°
5. Simplify: 6x + 3x − 2x
A. 7x
B. 9x
C. 11x
D. 8x
6. A rectangle has length 10 and width 4. What is its area?
A. 40
B. 14
C. 20
D. 24
7. If x² = 49, what are possible values of x?
A. 7 only
B. −7 only
C. 7 and −7
D. 14 and −14
8. What is the slope of the line passing through (0,0) and (2,6)?
A. 2
B. 3
C. 4
D. 6
9. Find the mean of 2, 4, 6, 8.
A. 4
B. 5
C. 6
D. 3
10. Solve: 5x = 35
A. 5
B. 6
C. 7
D. 8
11. What is 15% of 200?
A. 20
B. 25
C. 30
D. 35
12. If x = 3, evaluate x³
A. 6
B. 9
C. 27
D. 12
13. Simplify: (x + 5) + (x − 3)
A. 2x + 2
B. x + 2
C. 2x − 8
D. x + 8
14. What is the perimeter of a square with side 6?
A. 18
B. 24
C. 36
D. 30
15. Solve: x/4 = 9
A. 36
B. 32
C. 28
D. 40
16. Which number is prime?
A. 21
B. 27
C. 29
D. 33
17. If 3x + 2 = 11, what is x?
A. 2
B. 3
C. 4
D. 5
18. Evaluate: 2(3 + 4)²
A. 98
B. 72
C. 100
D. 49
19. A circle has radius 3. What is its area? (π = 3.14)
A. 18.84
B. 28.26
C. 31.4
D. 9.42
20. If x increases from 10 to 15, what is the percent increase?
A. 20%
B. 30%
C. 40%
D. 50%
21. Solve: x − 3 > 5
A. x > 8
B. x < 8
C. x > 2
D. x < 2
22. If f(x) = x², find f(4)
A. 8
B. 12
C. 16
D. 20
23. Simplify: √81
A. 7
B. 8
C. 9
D. 10
24. A car travels 60 miles in 1.5 hours. Speed?
A. 30 mph
B. 40 mph
C. 45 mph
D. 50 mph
25. Solve: 2x + 3x = 25
A. 4
B. 5
C. 6
D. 7
26. Solve: 7x − 4 = 31
A. 4
B. 5
C. 6
D. 7
27. Find the midpoint of (2,4) and (6,8)
A. (3,5)
B. (4,6)
C. (5,7)
D. (6,8)
28. Area of a triangle with base 10 and height 5
A. 15
B. 20
C. 25
D. 30
29. Solve: x² − 9 = 0
A. 9 only
B. −9 only
C. 3 only
D. ±3
30. Simplify: 3(x + 2)
A. 3x + 2
B. 3x + 5
C. 3x + 6
D. x + 6
31. Probability of heads in a fair coin toss
A. 0
B. 1/4
C. 1/3
D. 1/2
32. Solve: 2x ≤ 10
A. x ≤ 2
B. x ≤ 3
C. x ≤ 4
D. x ≤ 5
33. Find the slope between (1,2) and (3,6)
A. 1
B. 2
C. 3
D. 4
34. Evaluate: 5⁰
A. 0
B. 1
C. 5
D. 10
35. Convert 90° to radians
A. π/6
B. π/4
C. π/2
D. π
36. If y = 2x + 1, find y when x = 5
A. 9
B. 10
C. 11
D. 12
37. Simplify: x² · x³
A. x⁵
B. x⁶
C. x⁸
D. x⁹
38. Volume of a cube with side 3
A. 6
B. 9
C. 18
D. 27
39. Solve: x/2 + 3 = 7
A. 6
B. 7
C. 8
D. 9
40. Average of 10, 20, 30
A. 10
B. 15
C. 20
D. 25
41. If 2x = 18, x = ?
A. 6
B. 7
C. 8
D. 9
42. Circumference of a circle (r = 7, π = 3.14)
A. 40.84
B. 42.84
C. 43.96
D. 45.12
43. Solve: x² = 16
A. 2
B. 3
C. ±4
D. ±6
44. Ratio 2:3 = 10:x
A. 12
B. 13
C. 14
D. 15
45. Simplify: 8x − 3x + x
A. 4x
B. 5x
C. 6x
D. 7x
46. Solve: x + 7 = 2x − 5
A. 10
B. 11
C. 12
D. 13
47. Area of a square with side 9
A. 72
B. 73
C. 80
D. 81
48. Probability of rolling a 6 on a die
A. 1/2
B. 1/4
C. 1/5
D. 1/6
49. Simplify: 12/4 + 3 × 2
A. 6
B. 7
C. 8
D. 9
50. Solve: 3x = 2x + 9
A. 6
B. 7
C. 8
D. 9
51. x-intercept of y = 2x
A. −1
B. 0
C. 1
D. 2
52. Simplify: x² + 4x + 4
A. (x + 1)²
B. (x + 2)²
C. (x + 3)²
D. (x + 4)²
53. Evaluate: 10² − 5²
A. 50
B. 60
C. 65
D. 75
54. Perimeter of a rectangle 8 × 3
A. 18
B. 20
C. 22
D. 24
55. Solve: 6x + 2 = 20
A. 2
B. 3
C. 4
D. 5
56. Mean of 1, 2, 3, 4, 5
A. 2
B. 2.5
C. 3
D. 3.5
57. Simplify: (x + 1)(x + 1)
A. x² + 1
B. x² + 2x + 1
C. x² + x + 1
D. x² + 2
58. If speed = distance/time, time = ?
A. d × s
B. s/d
C. d/s
D. d + s
59. Solve: x/5 = 3
A. 10
B. 12
C. 13
D. 15
60. If x = 2, evaluate 3x² + 4x
A. 12
B. 14
C. 16
D. 20