Total questions: 44 · Total marks: 44 · Duration: 70 minutes (two 35-minute modules)
Instructions to candidates
- This section has two modules of 22 questions each. On the real Digital SAT, Module 2's difficulty adapts to your Module 1 performance; this practice test presents a representative mix.
- A calculator is allowed on all Math questions.
- Each question is worth ONE raw mark. There is no penalty for wrong answers — answer every question.
- Choose the single best answer. (The real Digital SAT also includes some questions where you write in your own answer; this practice test is all multiple choice.)
Module 1 (22 questions · 35 minutes)
1. If 6x − 5 = 19, what is x?
A) 4 B) 6 C) 5 D) 3
2. What is 40% of 90?
A) 27 B) 45 C) 36 D) 50
3. A line passes through (0, 4) with slope −2. Its equation is:
A) y = −2x + 4 B) y = 4x − 2 C) y = −2x − 4 D) y = 2x + 4
4. If f(x) = 3x + 7, what is f(4)?
A) 17 B) 21 C) 12 D) 19
5. The average of 6, 10, and 14 is:
A) 12 B) 10 C) 30 D) 8
6. Solve: 4x + 3 = 2x + 15.
A) 8 B) 6 C) 9 D) 4
7. A rectangle is 7 by 9. Its area is:
A) 16 B) 79 C) 32 D) 63
8. Simplify x⁵ · x².
A) x¹⁰ B) 2x⁷ C) x⁷ D) x³
9. If 3/4 of a number is 27, the number is:
A) 40 B) 28 C) 20 D) 36
10. A runner covers 12 km in 1.5 hours. Speed (km/h)?
A) 18 B) 8 C) 9 D) 6
11. Factor x² − 6x + 8.
A) (x − 2)(x + 4) B) (x − 1)(x − 8) C) (x + 2)(x + 4) D) (x − 2)(x − 4)
12. A right triangle has legs 9 and 12. Hypotenuse?
A) 15 B) 18 C) 13 D) 21
13. A $60 item is discounted 25%. Sale price?
A) $40 B) $48 C) $45 D) $50
14. The line y = mx − 1 passes through (3, 8). What is m?
A) 4 B) 2 C) 5 D) 3
15. Evaluate 4² − 2 × 5.
A) 6 B) 16 C) 10 D) 26
16. A circle has radius 6. Circumference (2πr)?
A) 6π B) 12π C) 36π D) 18π
17. If a : b = 3 : 4 and a = 9, then b = ?
A) 13 B) 10 C) 12 D) 16
18. Expand (x − 4)(x + 2).
A) x² + 2x − 8 B) x² − 2x − 8 C) x² − 6x − 8 D) x² − 2x + 8
19. A bag has 5 red and 5 blue marbles. P(red)?
A) 1/10 B) 2/5 C) 1/2 D) 1/5
20. Two angles are complementary; one is 28°. The other?
A) 62° B) 72° C) 152° D) 52°
21. If 3^x = 81, what is x?
A) 5 B) 4 C) 3 D) 27
22. A plumber charges $50 plus $25/hour. Equation for cost c over h hours?
A) c = 25 + 50h B) c = 75h C) c = 50h + 25 D) c = 25h + 50
Module 2 (22 questions · 35 minutes)
23. If 2(x − 4) = x + 1, what is x?
A) 9 B) 7 C) 10 D) 8
24. The vertex of y = (x + 2)² + 1 is:
A) (2, 1) B) (−2, −1) C) (−2, 1) D) (1, −2)
25. A quantity grows 10% on 200. New value?
A) 240 B) 220 C) 210 D) 260
26. If g(x) = x² − 9x, for what positive x is g(x) = 0?
A) 3 B) 6 C) 18 D) 9
27. A scale is 1 inch = 8 miles. 5 inches = ?
A) 40 B) 32 C) 45 D) 48
28. Median of 3, 8, 8, 10, 15, 18?
A) 11 B) 9 C) 8 D) 10
29. If √x = 9, then x = ?
A) 81 B) 90 C) 18 D) 27
30. A cube has edge 4. Its volume?
A) 16 B) 12 C) 48 D) 64
31. Solve: y = 2x − 3 and x + y = 9. What is x?
A) 6 B) 3 C) 4 D) 5
32. A price falls from $120 to $90. Percent decrease?
A) 20% B) 25% C) 33% D) 30%
33. If f(x) = 4x + 1 and f(x) = 21, what is x?
A) 4 B) 80 C) 5 D) 6
34. A rectangle's length is 3 more than its width. If perimeter is 26, width = ?
A) 8 B) 7 C) 6 D) 5
35. The discriminant of x² + 2x + 5 = 0 is:
A) −16 B) 4 C) 24 D) 16
36. In a right triangle, cos(θ) = 8/17. What is the opposite side if hypotenuse is 17?
A) 17 B) 12 C) 8 D) 15
37. A recipe uses 4 eggs for 16 muffins. For 24 muffins, eggs needed?
A) 7 B) 6 C) 8 D) 5
38. Solve x² = 3x + 10 (positive solution).
A) 5 B) 6 C) 10 D) 2
39. Sum of interior angles of a hexagon?
A) 1080° B) 720° C) 900° D) 540°
40. The mode of 5, 7, 7, 9, 9, 9, 12 is:
A) 7 B) 12 C) 8 D) 9
41. The slope of the line through (−1, 2) and (2, 11) is:
A) 2 B) 4 C) 3 D) 9
42. 35% of a class of 40 wear glasses. How many do?
A) 12 B) 18 C) 14 D) 16
43. Simplify (3x²)³.
A) 9x⁶ B) 3x⁶ C) 27x⁶ D) 27x⁵
44. A ladder 17 ft long has its base 8 ft from a wall. How high does it reach?
A) 15 ft B) 13 ft C) 16 ft D) 9 ft