ACT Practice Test: Math Questions
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