ASVAB Mathematics Knowledge (MK)
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Questions,Rationales And Verified
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1. A car travels 180 miles in 3 hours. What is its average speed in miles per hour?
A) 50 mph
B) 55 mph
C) 60 mph
D) 65 mph
Answer: C
Rationale: Speed = distance ÷ time → 180 ÷ 3 = 60 mph.
2. Sarah buys 3 pencils for $1.20 each and a notebook for $2.50. How much does she
spend in total?
A) $5.60
B) $6.10
C) $6.50
D) $6.90
Answer: C
Rationale: 3 × $1.20 = $3.60, plus $2.50 = $6.10. Wait carefully: 3 × 1.20 = 3.60, 3.60
+ 2.50 = 6.10 → Answer: B*
3. A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
A) 60 cm²
B) 30 cm²
C) 17 cm²
D) 25 cm²
Answer: A
Rationale: Area = length × width → 12 × 5 = 60 cm².
,4. If a train leaves at 2:15 PM and arrives at 5:45 PM, how long is the trip?
A) 3 hours 15 minutes
B) 3 hours 30 minutes
C) 3 hours 45 minutes
D) 4 hours
Answer: B
Rationale: 5:45 − 2:15 = 3 hours 30 minutes.
5. John earns $12 per hour. How much does he earn for a 40-hour workweek?
A) $480
B) $460
C) $500
D) $520
Answer: A
Rationale: 12 × 40 = 480.
6. A store offers a 20% discount on a $50 jacket. What is the sale price?
A) $10
B) $30
C) $40
D) $45
Answer: C
Rationale: 20% of 50 = 10, so 50 − 10 = 40.
7. A tank holds 500 gallons of water. If 125 gallons are used, what fraction of the tank
remains?
A) 1/4
B) 3/4
C) 1/2
D) 2/3
Answer: B
Rationale: 500 − 125 = 375, 375 ÷ 500 = 3/4.
8. A recipe calls for 2/3 cup of sugar. If you double the recipe, how much sugar do you
need?
A) 1 cup
B) 1 1/3 cups
C) 1 1/2 cups
D) 2 cups
Answer: B
Rationale: 2 × 2/3 = 4/3 = 1 1/3 cups.
, 9. A bottle contains 2 liters of juice. If each glass holds 250 mL, how many glasses can
you pour?
A) 6
B) 7
C) 8
D) 9
Answer: C
Rationale: 2 liters = 2000 mL, 2000 ÷ 250 = 8 glasses.
10. A car rental costs $25 per day plus $0.15 per mile. If you drive 100 miles for one day,
what is the total cost?
A) $35
B) $40
C) $45
D) $50
Answer: C
Rationale: Base = 25, mileage = 100 × 0.15 = 15, total = 25 + 15 = 40. Wait carefully:
25 + 15 = 40 → Answer: B
11. A train travels 180 miles at 60 mph. How long does the trip take?
A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours
Answer: C
Rationale: Time = distance ÷ speed → 180 ÷ 60 = 3 hours.
12. A tank is 3/4 full and holds 120 gallons when full. How many gallons are in the tank
now?
A) 80
B) 90
C) 100
D) 110
Answer: C
Rationale: 120 × 3/4 = 90 gallons. Wait carefully: 120 × 3/4 = 90 → Answer: B
13. A rectangular garden has a perimeter of 30 meters. If the length is 10 meters, what is
the width?
A) 5 m
B) 6 m
C) 7 m
D) 8 m
Answer: A
Real practice Exam With Actual
Questions,Rationales And Verified
Answers/Expert Verified For Guaranteed
Pass 2025/2026/Latest Update/Instant
Download Pdf
1. A car travels 180 miles in 3 hours. What is its average speed in miles per hour?
A) 50 mph
B) 55 mph
C) 60 mph
D) 65 mph
Answer: C
Rationale: Speed = distance ÷ time → 180 ÷ 3 = 60 mph.
2. Sarah buys 3 pencils for $1.20 each and a notebook for $2.50. How much does she
spend in total?
A) $5.60
B) $6.10
C) $6.50
D) $6.90
Answer: C
Rationale: 3 × $1.20 = $3.60, plus $2.50 = $6.10. Wait carefully: 3 × 1.20 = 3.60, 3.60
+ 2.50 = 6.10 → Answer: B*
3. A rectangle has a length of 12 cm and a width of 5 cm. What is its area?
A) 60 cm²
B) 30 cm²
C) 17 cm²
D) 25 cm²
Answer: A
Rationale: Area = length × width → 12 × 5 = 60 cm².
,4. If a train leaves at 2:15 PM and arrives at 5:45 PM, how long is the trip?
A) 3 hours 15 minutes
B) 3 hours 30 minutes
C) 3 hours 45 minutes
D) 4 hours
Answer: B
Rationale: 5:45 − 2:15 = 3 hours 30 minutes.
5. John earns $12 per hour. How much does he earn for a 40-hour workweek?
A) $480
B) $460
C) $500
D) $520
Answer: A
Rationale: 12 × 40 = 480.
6. A store offers a 20% discount on a $50 jacket. What is the sale price?
A) $10
B) $30
C) $40
D) $45
Answer: C
Rationale: 20% of 50 = 10, so 50 − 10 = 40.
7. A tank holds 500 gallons of water. If 125 gallons are used, what fraction of the tank
remains?
A) 1/4
B) 3/4
C) 1/2
D) 2/3
Answer: B
Rationale: 500 − 125 = 375, 375 ÷ 500 = 3/4.
8. A recipe calls for 2/3 cup of sugar. If you double the recipe, how much sugar do you
need?
A) 1 cup
B) 1 1/3 cups
C) 1 1/2 cups
D) 2 cups
Answer: B
Rationale: 2 × 2/3 = 4/3 = 1 1/3 cups.
, 9. A bottle contains 2 liters of juice. If each glass holds 250 mL, how many glasses can
you pour?
A) 6
B) 7
C) 8
D) 9
Answer: C
Rationale: 2 liters = 2000 mL, 2000 ÷ 250 = 8 glasses.
10. A car rental costs $25 per day plus $0.15 per mile. If you drive 100 miles for one day,
what is the total cost?
A) $35
B) $40
C) $45
D) $50
Answer: C
Rationale: Base = 25, mileage = 100 × 0.15 = 15, total = 25 + 15 = 40. Wait carefully:
25 + 15 = 40 → Answer: B
11. A train travels 180 miles at 60 mph. How long does the trip take?
A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours
Answer: C
Rationale: Time = distance ÷ speed → 180 ÷ 60 = 3 hours.
12. A tank is 3/4 full and holds 120 gallons when full. How many gallons are in the tank
now?
A) 80
B) 90
C) 100
D) 110
Answer: C
Rationale: 120 × 3/4 = 90 gallons. Wait carefully: 120 × 3/4 = 90 → Answer: B
13. A rectangular garden has a perimeter of 30 meters. If the length is 10 meters, what is
the width?
A) 5 m
B) 6 m
C) 7 m
D) 8 m
Answer: A
