ASVAB Arithmetic Reasoning 2027 | 200+ Practice
Questions & Correct Answers | Complete Math Exam |
A+ Graded
1. John bought a camera on sale that normally costs $160. If the price was reduced 20% during the
sale, what was the sale price of the camera?
A) $120
B) $124
C) *$128
D) $140
Answer: C
Rationale: 20% of $160 = $32. Sale price = $160 − $32 = $128.
2. A subway car passes 3 stations every 10 minutes. At this rate, how many stations will it pass in
one hour?
A) 15
B) *18
C) 20
D) 30
Answer: B
Rationale: 3 stations/10 min = x stations/60 min. Cross multiply: 180 = 10x, x = 18.
3. On a certain map, 3/4 inch represents one mile. What distance, in miles, is represented by 1 3/4
inches?
A) 1 1/2
B) *2 1/3
C) 2 1/2
,D) 5 1/4
Answer: B
Rationale: 7/4 inches ÷ 3/4 inch per mile = 7/4 × 4/3 = 7/3 = 2 1/3 miles.
4. A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls is 2:3 and
there are 30 baseballs in the box, how many golf balls are in the box?
A) 18
B) 20
C) 36
D) *45
Answer: D
Rationale: 2/3 = 30/x → 2x = 90 → x = 45.
5. Four people shared a taxi to the airport. The fare was $36.00, and they gave the driver a tip
equal to 25% of the fare. If they equally shared the cost of the fare and tip, how much did each
person pay?
A) $9.75
B) $10.25
C) $10.75
D) *$11.25
Answer: D
Rationale: Tip = 0.25 × $36 = $9. Total = $45. Each pays $45/4 = $11.25.
6. If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
A) *36
B) 60
C) 72
D) 100
, Answer: A
Rationale: 3,600 seconds in an hour. 3,600 × 1/100 = 36 km.
7. 20 − (−5) = ?
A) −25
B) *25
C) 15
D) −15
Answer: B
Rationale: Subtracting a negative is the same as addition: 20 + 5 = 25.
8. Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon
of gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the
trip?
A) $20.00
B) $24.00
C) *$25.00
D) $40.00
Answer: C
Rationale: 700/35 = 20 gallons. 20 × $1.25 = $25.00.
9. After eating 25% of the jelly beans, Brett had 72 left. How many jelly beans did Brett have
originally?
A) 90
B) 94
C) 95
D) *96
Answer: D
Questions & Correct Answers | Complete Math Exam |
A+ Graded
1. John bought a camera on sale that normally costs $160. If the price was reduced 20% during the
sale, what was the sale price of the camera?
A) $120
B) $124
C) *$128
D) $140
Answer: C
Rationale: 20% of $160 = $32. Sale price = $160 − $32 = $128.
2. A subway car passes 3 stations every 10 minutes. At this rate, how many stations will it pass in
one hour?
A) 15
B) *18
C) 20
D) 30
Answer: B
Rationale: 3 stations/10 min = x stations/60 min. Cross multiply: 180 = 10x, x = 18.
3. On a certain map, 3/4 inch represents one mile. What distance, in miles, is represented by 1 3/4
inches?
A) 1 1/2
B) *2 1/3
C) 2 1/2
,D) 5 1/4
Answer: B
Rationale: 7/4 inches ÷ 3/4 inch per mile = 7/4 × 4/3 = 7/3 = 2 1/3 miles.
4. A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls is 2:3 and
there are 30 baseballs in the box, how many golf balls are in the box?
A) 18
B) 20
C) 36
D) *45
Answer: D
Rationale: 2/3 = 30/x → 2x = 90 → x = 45.
5. Four people shared a taxi to the airport. The fare was $36.00, and they gave the driver a tip
equal to 25% of the fare. If they equally shared the cost of the fare and tip, how much did each
person pay?
A) $9.75
B) $10.25
C) $10.75
D) *$11.25
Answer: D
Rationale: Tip = 0.25 × $36 = $9. Total = $45. Each pays $45/4 = $11.25.
6. If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
A) *36
B) 60
C) 72
D) 100
, Answer: A
Rationale: 3,600 seconds in an hour. 3,600 × 1/100 = 36 km.
7. 20 − (−5) = ?
A) −25
B) *25
C) 15
D) −15
Answer: B
Rationale: Subtracting a negative is the same as addition: 20 + 5 = 25.
8. Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon
of gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the
trip?
A) $20.00
B) $24.00
C) *$25.00
D) $40.00
Answer: C
Rationale: 700/35 = 20 gallons. 20 × $1.25 = $25.00.
9. After eating 25% of the jelly beans, Brett had 72 left. How many jelly beans did Brett have
originally?
A) 90
B) 94
C) 95
D) *96
Answer: D
