ASVAB: Arithmetic Reasoning Test 1 questions &
answers all correct.
Arithmetic Reasoning
Section: ASVAB Practice Test 1
1: If a car is towed 12 miles to the repair shop, and the tow charge is
$3.50 per mile, how much did the tow cost?
• A. $12.00
• B. $3.50
• C. $42.00
• D. $100.00
Multiply 12 miles by $3.50 per mile to get $42.00.
2: The sum of two numbers is 70. One number is 8 more than the
other. What’s the smaller number?
• A. 31
• B. 33
• C. 35
• D. 36
Let x = the smaller number and x + 8 equal the larger number. Because the sum of the
two numbers equals 70, you can express this mathematically as x + (x + 8) = 70. Now
all you have to do is solve for x. Combine the like terms: 2x + 8 = 70. Then subtract 8
from both sides of the equation: 2x + 8 − 8 = 70 − 8, or 2x = 62. Divide both sides of
the equation by two, and you find that x is equal to 31.
3: A sales manager buys antacid in bottles by the gross. If he goes through 3
bottles of antacid every day, how long will the gross last?
, • A. 144 days
• B. 3 days
• C. 20 days
• D. 48 days
144 bottles are in a gross. 144 ÷ 3 (bottles per day) = 48 days.
4: Jenny’s test grades are 93, 89, 96, and 98. If she wishes to raise her
average to 95, what does she need to score on her next test?
• A. 100
• B. 99
• C. 97
• D. 95
To determine Jenny’s average, add the test scores and divide the sum by the number
of tests taken. You want to know what she would need to make on the next test in order
to achieve an average of 95, so let x equal the unknown score. Set up the equation as
(93
+ 89 + 96 + 98 + x) ÷ 5 = 95. Combine the like terms: (376 + x) ÷ 5 = 95.
Multiplying both sides by 5 results in 376 + x = 475, so, x = 99.
5: A waitress earns an average tip of 12% of the cost of the food she serves. If
she serves $375 worth of food in one evening, how much money in tips will
she earn on average?
• A. $37
• B. $45
• C. $42
• D. $420
Multiply the total amount spent on drinks, $375, by 12% (or 0.12) to determine the
amount of tips: $375 × 0.12 = $45.
answers all correct.
Arithmetic Reasoning
Section: ASVAB Practice Test 1
1: If a car is towed 12 miles to the repair shop, and the tow charge is
$3.50 per mile, how much did the tow cost?
• A. $12.00
• B. $3.50
• C. $42.00
• D. $100.00
Multiply 12 miles by $3.50 per mile to get $42.00.
2: The sum of two numbers is 70. One number is 8 more than the
other. What’s the smaller number?
• A. 31
• B. 33
• C. 35
• D. 36
Let x = the smaller number and x + 8 equal the larger number. Because the sum of the
two numbers equals 70, you can express this mathematically as x + (x + 8) = 70. Now
all you have to do is solve for x. Combine the like terms: 2x + 8 = 70. Then subtract 8
from both sides of the equation: 2x + 8 − 8 = 70 − 8, or 2x = 62. Divide both sides of
the equation by two, and you find that x is equal to 31.
3: A sales manager buys antacid in bottles by the gross. If he goes through 3
bottles of antacid every day, how long will the gross last?
, • A. 144 days
• B. 3 days
• C. 20 days
• D. 48 days
144 bottles are in a gross. 144 ÷ 3 (bottles per day) = 48 days.
4: Jenny’s test grades are 93, 89, 96, and 98. If she wishes to raise her
average to 95, what does she need to score on her next test?
• A. 100
• B. 99
• C. 97
• D. 95
To determine Jenny’s average, add the test scores and divide the sum by the number
of tests taken. You want to know what she would need to make on the next test in order
to achieve an average of 95, so let x equal the unknown score. Set up the equation as
(93
+ 89 + 96 + 98 + x) ÷ 5 = 95. Combine the like terms: (376 + x) ÷ 5 = 95.
Multiplying both sides by 5 results in 376 + x = 475, so, x = 99.
5: A waitress earns an average tip of 12% of the cost of the food she serves. If
she serves $375 worth of food in one evening, how much money in tips will
she earn on average?
• A. $37
• B. $45
• C. $42
• D. $420
Multiply the total amount spent on drinks, $375, by 12% (or 0.12) to determine the
amount of tips: $375 × 0.12 = $45.
