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 both modules at 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 4x + 9 = 33, what is the value of x?
A) 24 B) 4 C) 8 D) 6
2. A line passes through (0, −2) with slope 3. What is its equation?
A) y = 3x − 2 B) y = −2x + 3 C) y = 2x − 3 D) y = 3x + 2
3. What is 30% of 250?
A) 60 B) 90 C) 75 D) 80
4. If f(x) = 2x² − 1, what is f(3)?
A) 17 B) 18 C) 11 D) 35
5. The mean of 5, 9, 13, and x is 10. What is x?
A) 13 B) 15 C) 11 D) 8
6. Solve: 5(x − 3) = 2x + 6.
A) 9 B) 7 C) 5 D) 3
7. A triangle has base 12 and height 5. What is its area?
A) 30 B) 60 C) 17 D) 34
8. Simplify (x⁴)(x³).
A) x¹² B) 2x⁷ C) x⁷ D) x¹
9. If 2/5 of a number is 18, what is the number?
A) 90 B) 36 C) 40 D) 45
10. A car travels 240 miles in 4 hours. What is its average speed (mph)?
A) 60 B) 64 C) 50 D) 55
11. The solutions to x² − 7x + 12 = 0 are:
A) 1 and 12 B) −3 and −4 C) 2 and 6 D) 3 and 4
12. A right triangle has legs 6 and 8. What is the hypotenuse?
A) 10 B) 12 C) 48 D) 14
13. If a shirt is marked down 20% from $45, what is the sale price?
A) $25 B) $36 C) $40 D) $38
14. The line y = mx + 4 passes through (2, 10). What is m?
A) 5 B) 3 C) 2 D) 7
15. What is the value of 3² + 4 × 2?
A) 20 B) 26 C) 17 D) 14
16. A circle has radius 4. What is its area? (Use πr²)
A) 64π B) 16π C) 8π D) 12π
17. If x : y = 2 : 3 and y = 12, what is x?
A) 18 B) 9 C) 8 D) 6
18. The expression (x + 5)(x − 3) equals:
A) x² + 2x − 15 B) x² + 8x − 15 C) x² + 2x + 15 D) x² − 2x − 15
19. A bag has 4 green and 6 yellow marbles. P(green) = ?
A) 1/4 B) 2/5 C) 4/6 D) 3/5
20. Two angles are supplementary; one is 125°. The other is:
A) 45° B) 65° C) 55° D) 75°
21. If 2^x = 32, what is x?
A) 5 B) 6 C) 16 D) 4
22. A worker earns $16/hour plus a $40 bonus. Which equation gives pay p for h hours?
A) p = 56h B) p = 16h + 40 C) p = 16 + 40h D) p = 40h + 16
Module 2 (22 questions · 35 minutes)
23. If 3(x + 2) − 4 = 2x + 7, what is x?
A) 5 B) 7 C) 9 D) 3
24. The vertex of y = (x − 3)² − 5 is at:
A) (3, 5) B) (5, −3) C) (−3, 5) D) (3, −5)
25. A population of 800 grows 5% per year. After 1 year, the population is:
A) 880 B) 1200 C) 805 D) 840
26. If g(x) = x² − 4x, for what positive x is g(x) = 0?
A) 4 B) 8 C) 2 D) 6
27. A map scale is 1 cm = 15 km. A distance of 6 cm represents:
A) 75 km B) 21 km C) 60 km D) 90 km
28. The median of 4, 6, 9, 11, 13, 20 is:
A) 10 B) 11.5 C) 11 D) 9
29. If √x = 7, what is x?
A) 343 B) 14 C) 28 D) 49
30. A cylinder has radius 3 and height 10. Its volume (πr²h) is:
A) 60π B) 30π C) 90π D) 300π
31. Solve the system: y = x + 1 and 2x + y = 7. What is x?
A) 4 B) 3 C) 5 D) 2
32. The price of a stock rose from $80 to $100. The percent increase is:
A) 20% B) 25% C) 80% D) 30%
33. If f(x) = 5x − 2 and f(x) = 13, what is x?
A) 4 B) 5 C) 3 D) 2
34. A rectangle's length is twice its width. If the perimeter is 36, the width is:
A) 12 B) 9 C) 6 D) 8
35. The discriminant of x² + 6x + 9 = 0 is:
A) 36 B) 6 C) 0 D) 9
36. In a right triangle, sin(θ) = 3/5. What is cos(θ)?
A) 5/3 B) 4/5 C) 3/4 D) 5/4
37. A recipe needs 3 cups flour per 12 cookies. For 20 cookies, how many cups?
A) 6 B) 7 C) 5 D) 4
38. If x² = 2x + 8, the positive solution is:
A) 8 B) 6 C) 4 D) 2
39. A regular pentagon's interior angles sum to:
A) 720° B) 540° C) 360° D) 900°
40. Data set: 2, 4, 4, 4, 6, 10. The mode is:
A) 6 B) 4 C) 10 D) 5
41. The line through (1, 4) and (3, 10) has slope:
A) 2 B) 3 C) 4 D) 6
42. If 40% of a class of 30 students play sports, how many do NOT?
A) 15 B) 12 C) 20 D) 18
43. Simplify: (2x³)².
A) 4x⁹ B) 2x⁶ C) 4x⁵ D) 4x⁶
44. A 13-foot ladder leans so its base is 5 feet from the wall. How high up the wall does it reach?
A) 17 ft B) 11 ft C) 13 ft D) 12 ft