ASVAB Arithmetic Reasoning 2027 | 200 Practice
Questions, Formulas & Correct Answers | Complete
Math Exam Prep
1. What is the formula for finding the average?
A) Average = Sum of terms × Number of terms
B) *Average = Sum of terms / Number of terms
C) Average = Number of terms / Sum of terms
D) Average = Sum of terms + Number of terms
Answer: B
Rationale: To find the average, divide the sum of all terms by the number of terms.
2. A student scored 85, 90, 92, and 88 on four tests. What is the average score?
A) 86
B) *88.75
C) 90
D) 92
Answer: B
Rationale: (85 + 90 + 92 + 88) / 4 = = 88.75.
3. What is the formula for percent change?
A) *100% = (new − old) / old
B) 100% = (old − new) / new
C) 100% = (new + old) / old
D) 100% = (new − old) / new
Answer: A
Rationale: Percent change = (new value − old value) / old value × 100%.
,4. A stock price increased from $50 to $60. What is the percent increase?
A) 10%
B) *20%
C) 25%
D) 30%
Answer: B
Rationale: (60 − 50) / 50 × 100% = 10/50 × 100% = 20%.
5. A stock price decreased from $80 to $60. What is the percent decrease?
A) 20%
B) *25%
C) 30%
D) 33%
Answer: B
Rationale: (80 − 60) / 80 × 100% = 20/80 × 100% = 25%.
6. What is the formula for probability?
A) *Probability = number of desired outcomes / number of possible outcomes
B) Probability = number of possible outcomes / number of desired outcomes
C) Probability = number of desired outcomes × number of possible outcomes
D) Probability = number of desired outcomes + number of possible outcomes
Answer: A
Rationale: Probability is the ratio of favorable outcomes to total outcomes.
7. A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue
marble?
A) 1/5
,B) *3/10
C) 3/5
D) 1/2
Answer: B
Rationale: Total marbles = 10. Blue = 3. Probability = 3/10.
8. What is the formula for travel (distance)?
A) *Distance = Rate × Time
B) Distance = Rate / Time
C) Distance = Time / Rate
D) Distance = Rate + Time
Answer: A
Rationale: Distance equals speed (rate) multiplied by time.
9. A car travels at 60 mph for 3 hours. How far does it travel?
A) 120 miles
B) *180 miles
C) 200 miles
D) 240 miles
Answer: B
Rationale: Distance = 60 mph × 3 hours = 180 miles.
10. What is the formula for the radius of a circle?
A) *R = 1/2 d
B) R = 2d
C) R = d + 2
D) R = d − 2
Answer: A
, Rationale: Radius is half the diameter.
11. A circle has a diameter of 14 cm. What is the radius?
A) 5 cm
B) *7 cm
C) 14 cm
D) 28 cm
Answer: B
Rationale: Radius = 14/2 = 7 cm.
12. What is the formula for the area of a circle?
A) A = πd
B) *A = πr²
C) A = 2πr
D) A = πr
Answer: B
Rationale: Area of a circle = π × radius².
13. A circle has a radius of 5 cm. What is its area? (Use π = 3.14)
A) 15.7 cm²
B) 31.4 cm²
C) *78.5 cm²
D) 157 cm²
Answer: C
Rationale: A = 3.14 × 5² = 3.14 × 25 = 78.5 cm².
14. What is the formula for the circumference of a circle?
Questions, Formulas & Correct Answers | Complete
Math Exam Prep
1. What is the formula for finding the average?
A) Average = Sum of terms × Number of terms
B) *Average = Sum of terms / Number of terms
C) Average = Number of terms / Sum of terms
D) Average = Sum of terms + Number of terms
Answer: B
Rationale: To find the average, divide the sum of all terms by the number of terms.
2. A student scored 85, 90, 92, and 88 on four tests. What is the average score?
A) 86
B) *88.75
C) 90
D) 92
Answer: B
Rationale: (85 + 90 + 92 + 88) / 4 = = 88.75.
3. What is the formula for percent change?
A) *100% = (new − old) / old
B) 100% = (old − new) / new
C) 100% = (new + old) / old
D) 100% = (new − old) / new
Answer: A
Rationale: Percent change = (new value − old value) / old value × 100%.
,4. A stock price increased from $50 to $60. What is the percent increase?
A) 10%
B) *20%
C) 25%
D) 30%
Answer: B
Rationale: (60 − 50) / 50 × 100% = 10/50 × 100% = 20%.
5. A stock price decreased from $80 to $60. What is the percent decrease?
A) 20%
B) *25%
C) 30%
D) 33%
Answer: B
Rationale: (80 − 60) / 80 × 100% = 20/80 × 100% = 25%.
6. What is the formula for probability?
A) *Probability = number of desired outcomes / number of possible outcomes
B) Probability = number of possible outcomes / number of desired outcomes
C) Probability = number of desired outcomes × number of possible outcomes
D) Probability = number of desired outcomes + number of possible outcomes
Answer: A
Rationale: Probability is the ratio of favorable outcomes to total outcomes.
7. A bag contains 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue
marble?
A) 1/5
,B) *3/10
C) 3/5
D) 1/2
Answer: B
Rationale: Total marbles = 10. Blue = 3. Probability = 3/10.
8. What is the formula for travel (distance)?
A) *Distance = Rate × Time
B) Distance = Rate / Time
C) Distance = Time / Rate
D) Distance = Rate + Time
Answer: A
Rationale: Distance equals speed (rate) multiplied by time.
9. A car travels at 60 mph for 3 hours. How far does it travel?
A) 120 miles
B) *180 miles
C) 200 miles
D) 240 miles
Answer: B
Rationale: Distance = 60 mph × 3 hours = 180 miles.
10. What is the formula for the radius of a circle?
A) *R = 1/2 d
B) R = 2d
C) R = d + 2
D) R = d − 2
Answer: A
, Rationale: Radius is half the diameter.
11. A circle has a diameter of 14 cm. What is the radius?
A) 5 cm
B) *7 cm
C) 14 cm
D) 28 cm
Answer: B
Rationale: Radius = 14/2 = 7 cm.
12. What is the formula for the area of a circle?
A) A = πd
B) *A = πr²
C) A = 2πr
D) A = πr
Answer: B
Rationale: Area of a circle = π × radius².
13. A circle has a radius of 5 cm. What is its area? (Use π = 3.14)
A) 15.7 cm²
B) 31.4 cm²
C) *78.5 cm²
D) 157 cm²
Answer: C
Rationale: A = 3.14 × 5² = 3.14 × 25 = 78.5 cm².
14. What is the formula for the circumference of a circle?
