ASVAB Arithmetic Reasoning & Mathematics
Knowledge 2027 | 200 Practice Questions & Correct
Answers | Complete Math Study Guide
21. A worker earns $22 per hour and works 38 hours. What is the worker's gross pay?
A. $816
B. $826
C. $836
D. $846
Correct Answer: C. $836
Rationale:
$22 × 38 = $836.
22. Solve: 4x + 9 = 37.
A. 5
B. 6
C. 7
D. 8
Correct Answer: B. 7
Rationale:
4x = 37 − 9 = 28.
x = 28 ÷ 4 = 7.
23. A truck travels 360 miles using 12 gallons of fuel. What is its fuel efficiency?
A. 25 mpg
B. 30 mpg
C. 35 mpg
D. 40 mpg
Correct Answer: B. 30 mpg
,Rationale:
360 ÷ 12 = 30 miles per gallon.
24. Simplify: 7x − 3x + 5.
A. 4x + 5
B. 10x + 5
C. 4x − 5
D. 10x − 5
Correct Answer: A. 4x + 5
Rationale:
7x − 3x = 4x, so the expression becomes 4x + 5.
25. A $800 item is discounted by 20%. What is the sale price?
A. $620
B. $640
C. $660
D. $680
Correct Answer: B. $640
Rationale:
20% of $800 = $160.
$800 − $160 = $640.
26. What is 35% of 240?
A. 72
B. 80
C. 84
D. 96
Correct Answer: C. 84
Rationale:
240 × 0.35 = 84.
,27. Solve: 3(x + 4) = 27.
A. 4
B. 5
C. 6
D. 7
Correct Answer: B. 5
Rationale:
x + 4 = 9.
x = 5.
28. A rectangle has an area of 96 square feet and a width of 8 feet. What is its length?
A. 10 ft
B. 12 ft
C. 14 ft
D. 16 ft
Correct Answer: B. 12 ft
Rationale:
Area = length × width.
Length = 96 ÷ 8 = 12 feet.
29. What is the value of 6² − 4²?
A. 12
B. 16
C. 20
D. 24
Correct Answer: C. 20
Rationale:
6² = 36 and 4² = 16.
36 − 16 = 20.
, 30. A machine produces 45 parts in 5 hours. At the same rate, how many parts will it produce
in 12 hours?
A. 90
B. 96
C. 108
D. 120
Correct Answer: C. 108
Rationale:
45 ÷ 5 = 9 parts/hour.
9 × 12 = 108 parts.
31. Simplify: 2(3x − 5) + 4.
A. 6x − 6
B. 6x − 10
C. 6x + 6
D. 3x − 6
Correct Answer: A. 6x − 6
Rationale:
2(3x − 5) = 6x − 10.
6x − 10 + 4 = 6x − 6.
32. A worker spends $420 from a $1,200 budget. What percentage of the budget remains?
A. 55%
B. 60%
C. 65%
D. 70%
Correct Answer: C. 65%
Rationale:
Remaining = $1,200 − $420 = $780.
780 ÷ 1,200 × 100 = 65%.
Knowledge 2027 | 200 Practice Questions & Correct
Answers | Complete Math Study Guide
21. A worker earns $22 per hour and works 38 hours. What is the worker's gross pay?
A. $816
B. $826
C. $836
D. $846
Correct Answer: C. $836
Rationale:
$22 × 38 = $836.
22. Solve: 4x + 9 = 37.
A. 5
B. 6
C. 7
D. 8
Correct Answer: B. 7
Rationale:
4x = 37 − 9 = 28.
x = 28 ÷ 4 = 7.
23. A truck travels 360 miles using 12 gallons of fuel. What is its fuel efficiency?
A. 25 mpg
B. 30 mpg
C. 35 mpg
D. 40 mpg
Correct Answer: B. 30 mpg
,Rationale:
360 ÷ 12 = 30 miles per gallon.
24. Simplify: 7x − 3x + 5.
A. 4x + 5
B. 10x + 5
C. 4x − 5
D. 10x − 5
Correct Answer: A. 4x + 5
Rationale:
7x − 3x = 4x, so the expression becomes 4x + 5.
25. A $800 item is discounted by 20%. What is the sale price?
A. $620
B. $640
C. $660
D. $680
Correct Answer: B. $640
Rationale:
20% of $800 = $160.
$800 − $160 = $640.
26. What is 35% of 240?
A. 72
B. 80
C. 84
D. 96
Correct Answer: C. 84
Rationale:
240 × 0.35 = 84.
,27. Solve: 3(x + 4) = 27.
A. 4
B. 5
C. 6
D. 7
Correct Answer: B. 5
Rationale:
x + 4 = 9.
x = 5.
28. A rectangle has an area of 96 square feet and a width of 8 feet. What is its length?
A. 10 ft
B. 12 ft
C. 14 ft
D. 16 ft
Correct Answer: B. 12 ft
Rationale:
Area = length × width.
Length = 96 ÷ 8 = 12 feet.
29. What is the value of 6² − 4²?
A. 12
B. 16
C. 20
D. 24
Correct Answer: C. 20
Rationale:
6² = 36 and 4² = 16.
36 − 16 = 20.
, 30. A machine produces 45 parts in 5 hours. At the same rate, how many parts will it produce
in 12 hours?
A. 90
B. 96
C. 108
D. 120
Correct Answer: C. 108
Rationale:
45 ÷ 5 = 9 parts/hour.
9 × 12 = 108 parts.
31. Simplify: 2(3x − 5) + 4.
A. 6x − 6
B. 6x − 10
C. 6x + 6
D. 3x − 6
Correct Answer: A. 6x − 6
Rationale:
2(3x − 5) = 6x − 10.
6x − 10 + 4 = 6x − 6.
32. A worker spends $420 from a $1,200 budget. What percentage of the budget remains?
A. 55%
B. 60%
C. 65%
D. 70%
Correct Answer: C. 65%
Rationale:
Remaining = $1,200 − $420 = $780.
780 ÷ 1,200 × 100 = 65%.
