Preparing for the ASVAB Arithmetic Reasoning section can feel overwhelming—but with the right practice, you’ll build both confidence and skill. This comprehensive guide provides 25 expertly crafted questions with detailed explanations and math-friendly formatting that works perfectly in Blogger.
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| Top 25 Arithmetic Reasoning Questions for the ASVAB 2025 (with Explanations and Tips) |
Whether you're aiming for a high-tech military career or simply want to qualify, this article will help boost your ASVAB score.
In this three-part series, you’ll
get:
- 25 practice questions broken into beginner,
intermediate, and advanced levels.
- Step-by-step explanations.
- Study tips for tackling arithmetic questions.
Let’s dive into Part 1:
Beginner-Level Questions (1–8).
🔢 Beginner-Level Questions (1–8)
✅ Question 1:
What is the value of 6 × 7 + 5?
A. 47
B. 42
C. 38
D. 39
✅ Correct Answer: A
Explanation: 6 × 7 = 42 → 42 + 5 = 47
✅ Question 2:
If a jacket originally costs $80 and
is discounted by 25%, what is the new price?
A. $60
B. $65
C. $70
D. $75
✅ Correct Answer: A
Explanation: 25% of 80 = 0.25 × 80 = 20 → 80 - 20 = 60
✅ Question 3:
What is the average of 12, 15, and
21?
A. 18
B. 16
C. 20
D. 15
✅ Correct Answer: B
Explanation: (12 + 15 + 21) ÷ 3 = 48 ÷ 3 = 16
✅ Question 4:
If a car travels 180 miles in 3
hours, what is its average speed?
A. 50 mph
B. 55 mph
C. 60 mph
D. 65 mph
✅ Correct Answer: C
Explanation: Speed = Distance ÷ Time → 180 ÷ 3 = 60 mph
✅ Question 5:
Solve: 5² - 3 × 2 = ?
A. 19
B. 23
C. 25
D. 31
✅ Correct Answer: A
Explanation: 5² = 25, 3 × 2 = 6 → 25 - 6 = 19
✅ Question 6:
A worker earns $12/hour and works 8
hours/day. How much does he earn in 5 days?
A. $400
B. $480
C. $500
D. $520
✅ Correct Answer: B
Explanation: 12 × 8 = 96/day → 96 × 5 = $480
✅ Question 7:
If 3 pencils cost $1.50, what is the
cost of 10 pencils?
A. $4.50
B. $5.00
C. $5.50
D. $6.00
✅ Correct Answer: B
Explanation: 1 pencil = 1.50 ÷ 3 = $0.50 → 10 × 0.50 = $5.00
✅ Question 8:
What is the next number in the
sequence: 2, 4, 8, 16, ...?
A. 18
B. 20
C. 32
D. 24
✅ Correct Answer: C
Explanation: Each number is multiplied by 2 → 16 × 2 = 32
Part 2: Intermediate and Advanced Questions (9–16)
These questions focus on ratios,
percentages, distance-time problems, and practical math reasoning—key areas
tested in the ASVAB Arithmetic Reasoning section.
✅ Question 9:
If a car travels 180 miles in 3
hours, what is its average speed?
A.
60 mphB. 90 mphC. 30 mphD. 45 mph
✅ Correct Answer: A
Explanation:
Average Speed = Distance ÷ Time
= 180 ÷ 3 = 60 mph
✅ Question 10:
A store offers a 25% discount on a
$200 item. What is the sale price?
A.
$150 B. $175 C. $180 D. $160
✅ Correct Answer: A
Explanation:
Discount = 25% of $200 = 0.25 × 200 = $50
Sale Price = $200 − $50 = $150
✅ Question 11:
A train travels 120 miles at a
constant speed. If it takes 2.5 hours, what is the speed?
A.
40 mph B. 48 mph C. 50 mph D. 60 mph
✅ Correct Answer: C
Explanation:
Speed = Distance ÷ Time
= 120 ÷ 2.5 = 48 mph
Correction: ✅ Correct Answer: B
✅ Question 12:
A recipe calls for 4 cups of flour
to make 8 cookies. How many cups of flour are needed for 20 cookies?
A.
10 B.
8 C. 5 D. 6
✅ Correct Answer: C
Explanation:
Ratio = 4 cups / 8 cookies = 0.5 cup per cookie
Required = 0.5 × 20 = 10 cups
Correction: ✅ Correct Answer: A
✅ Question 13:
What percent of 80 is 20?
A.
20% B. 25%
C. 40% D. 50%
✅ Correct Answer: B
Explanation:
Percentage = (20 ÷ 80) × 100 = 25%
✅ Question 14:
If 3 pencils cost $1.50, what is the
cost of 10 pencils?
A.
$4.00 B. $5.00 C. $5.50 D. $3.00
✅ Correct Answer: B
Explanation:
Unit cost = 1.50 ÷ 3 = $0.50 per pencil
Cost of 10 pencils = 0.50 × 10 = $5.00
✅ Question 15:
A student scores 18 out of 24 on a
practice test. What is their percentage score?
A.
85% B.
70% C.
75% D. 65%
✅ Correct Answer: C
Explanation:
(18 ÷ 24) × 100 = 75%
✅ Question 16:
A machine produces 120 units in 8
hours. How many units will it produce in 10 hours at the same rate?
A.
130 B. 140 C. 150 D. 160
✅ Correct Answer: C
Explanation:
Units per hour = 120 ÷ 8 = 15
Total in 10 hours = 15 × 10 = 150 units
Part 3: Challenging Questions (17–25) — Multi-Step, Proportions, and Practical Scenarios
Question 17: Distance, Rate, and Time
A car travels at a constant speed of
60 miles per hour. How long will it take to travel 180 miles?
A. 2 hours
B. 2.5 hours
C. 3 hours
D. 3.5 hours
✅ Correct Answer: C
Explanation: time = distance / rate = 180/60 = 3 hours
Question 18: Ratio Application
The ratio of men to women in a unit
is 3:4. If there are 60 women, how many men are there?
A. 40
B. 45
C. 50
D. 55
✅ Correct Answer: B
Explanation: ¾ = x/60 => 60 * 3 => 4x => 180/4 = 45
Question 19: Percentage Decrease
A tool originally costs $80. It is
now on sale for $60. What is the percentage decrease?
A. 20%
B. 25%
C. 30%
D. 35%
✅ Correct Answer: B
Explanation: Decrease = 80 - 60 =
20 → (20 / 80) × 100 = 25%
Question 20: Proportions
If 5 machines can complete a task in
6 hours, how long would it take 10 machines to do the same job?
A. 2 hours
B. 3 hours
C. 6 hours
D. 12 hours
✅ Correct Answer: B
Explanation: Double the machines means half the time: Time = (5
÷ 10) × 6 = 3 hours
Question 21: Area Problem
What is the area of a triangle with
base 10 inches and height 8 inches?
A. 40 in²
B. 80 in²
C. 18 in²
D. 20 in²
✅ Correct Answer: A
Explanation: area = ½ * base *
height = ½ * 10 *8 = 40 in²
Question 22: Practical Money Word Problem
You bought 3 shirts at $15 each and
a jacket for $60. If the sales tax is 8%, what is the total cost?
A. $99.20
B. $108.00
C. $106.20
D. $111.24
✅ Correct Answer: D
Explanation: Subtotal = (3*15) + 60 = 45 +60 = 105tax = 105 * 0.08 =>
Total= 105 + 8.40 = 113.40$
Oops! The correct answer should be
$113.40, not listed. Let's adjust options accordingly.
✳️
Correction Suggestion: Change D to: D. $113.40 ✅
Question 23: Volume of a Rectangular Prism
What is the volume of a box that is
4 ft long, 3 ft wide, and 2 ft high?
A. 24 ft³
B. 12 ft³
C. 30 ft³
D. 20 ft³
✅ Correct Answer: A
Explanation: Volume = length × width × height = 4 × 3 × 2 = 24 ft³
Question 24: Simple Interest
What is the interest on a loan of
$1,000 at 5% annual interest for 3 years?
A. $150
B. $50
C. $300
D. $100
✅ Correct Answer: A
Explanation: Simple Interest = Principal × Rate × Time = 1000 ×
0.05 × 3 = 150
Question 25: Final Word Problem
A military truck consumes 8 gallons
of fuel per 100 miles. How much fuel is needed to travel 350 miles?
A. 20 gallons
B. 25 gallons
C. 28 gallons
D. 35 gallons
✅ Correct Answer: C
Explanation:
8/100 * 350 = 28 gallons
Final Tips:
- Practice daily and review every mistake.
- Memorize common formulas and conversions.
- Understand the logic behind each solution.
🎯 You've now completed the
full set of 25 Arithmetic Reasoning questions for the ASVAB 2025. Keep
practicing and stay confident!