ASVAB Arithmetic Reasoning (2025) |
Questions & Answers (Rated A+)
A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance
between Point A and X-marks-the-spot is 9 1/2 inches. How many actual miles does this
represent. - ANSWER - A. 281/2 miles
B. 141/4 miles
C. 61/3 miles
D. 19 miles
(B) If 2 inches = 3 miles, then 1 inch equals 11⁄2 miles: 3 ÷ 2 = 1.5. Multiply 11⁄2 miles ×
91⁄2 inches to determine the actual distance: 1.5 × 9.5 = 14.25 or 141⁄4 miles.
Miguel passed seven of his history-class quizzes and failed three. The fraction of
quizzes he passed is correctly expressed as: - ANSWER - A. 7⁄3
B. 3⁄7
C. 7⁄10
D. 3⁄5
(C) The total number of quizzes is 10. If he passed seven of them, the fraction would be
expressed as 7⁄10.
10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk
is supposed to reorder bolts when the bin is 1⁄6 full. How many bolts are in the bin when
it's time to reorder? - ANSWER - A. 14 bolts
B. 1 bolt
C. 84 bolts
D. 12 bolts
(A) First find how many bolts a full bin contains: 7 ×12 = 84 bolts. Then multiply the total
number of bolts in a full bin by 1⁄6 to find how many bolts are in the bin when it's 1⁄6 full:
84⁄1 × 1⁄6 = 84⁄6 = 14 bolts.
A carpenter needs to cut four sections, each 3-feet 8-inches long, from a piece of
molding. If the board is only sold by the foot, what's the shortest length of board she can
buy? - ANSWER - A. 15 feet
B. 14 feet
C. 16 feet
D. 12 feet
(A) Convert the mixed number to inches. 3 feet 8 inches equals 44 inches (12 inches
per foot × 3 feet = 36 inches + 8 inches = 44 inches). 44 inches (length each section
needs to be) × 4 (number of sections needed) = 176 inches (total molding needed). To
determine the amount of molding needed in feet, convert 176 inches into feet by
, dividing 176 inches by 12 inches. You get 142⁄3 feet, so the shortest board length is 15
feet.
Kiya had a coupon for 10% off one frozen turkey breast. The turkey breasts cost $8.50
each, and Kiya bought two. How much did she pay? - ANSWER - A. $16.15
B. $17.00
C. $15.30
D. $7.65
(A) One turkey breast costs $8.50 minus 10% of $8.50, or $8.50 − $0.85 = $7.65. The
other turkey breast is full price. $7.65 + $8.50 = $16.15.
Stan bought a monster truck for $2,000 down and payments of $450 a month for five
years. What's the total cost of the monster truck? - ANSWER - A. $4,250
B. $29,000
C. $27,000
D. $34,400
(B) Five years contain 60 months, so multiply $450 (monthly payment) × 60 = $27,000
(total payments). Then add $27,000 (total payments) + $2,000 (down payment) =
$29,000 (total cost).
Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in
March. What was the average monthly cost of Darla's groceries? - ANSWER - A.
$343.68
B. $110.45
C. $114.86
D. $114.56
(D) Add the three monthly amounts to determine the total amount Darla spent on
groceries: $120.37 + $108.45 + $114.86 = $343.68. Divide the total by 3 to determine
the average monthly cost: $114.56.
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? -
ANSWER - A. $37
B. $45
C. $42
D. $420
(B) Multiply the total amount spent on food, $375, by 12% to determine the amount of
tips. $375 × 0.12 = $45.
How many square feet of carpeting are needed to carpet a 12-foot by 12-foot room? -
ANSWER - A. 24
B. 120
Questions & Answers (Rated A+)
A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance
between Point A and X-marks-the-spot is 9 1/2 inches. How many actual miles does this
represent. - ANSWER - A. 281/2 miles
B. 141/4 miles
C. 61/3 miles
D. 19 miles
(B) If 2 inches = 3 miles, then 1 inch equals 11⁄2 miles: 3 ÷ 2 = 1.5. Multiply 11⁄2 miles ×
91⁄2 inches to determine the actual distance: 1.5 × 9.5 = 14.25 or 141⁄4 miles.
Miguel passed seven of his history-class quizzes and failed three. The fraction of
quizzes he passed is correctly expressed as: - ANSWER - A. 7⁄3
B. 3⁄7
C. 7⁄10
D. 3⁄5
(C) The total number of quizzes is 10. If he passed seven of them, the fraction would be
expressed as 7⁄10.
10: A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk
is supposed to reorder bolts when the bin is 1⁄6 full. How many bolts are in the bin when
it's time to reorder? - ANSWER - A. 14 bolts
B. 1 bolt
C. 84 bolts
D. 12 bolts
(A) First find how many bolts a full bin contains: 7 ×12 = 84 bolts. Then multiply the total
number of bolts in a full bin by 1⁄6 to find how many bolts are in the bin when it's 1⁄6 full:
84⁄1 × 1⁄6 = 84⁄6 = 14 bolts.
A carpenter needs to cut four sections, each 3-feet 8-inches long, from a piece of
molding. If the board is only sold by the foot, what's the shortest length of board she can
buy? - ANSWER - A. 15 feet
B. 14 feet
C. 16 feet
D. 12 feet
(A) Convert the mixed number to inches. 3 feet 8 inches equals 44 inches (12 inches
per foot × 3 feet = 36 inches + 8 inches = 44 inches). 44 inches (length each section
needs to be) × 4 (number of sections needed) = 176 inches (total molding needed). To
determine the amount of molding needed in feet, convert 176 inches into feet by
, dividing 176 inches by 12 inches. You get 142⁄3 feet, so the shortest board length is 15
feet.
Kiya had a coupon for 10% off one frozen turkey breast. The turkey breasts cost $8.50
each, and Kiya bought two. How much did she pay? - ANSWER - A. $16.15
B. $17.00
C. $15.30
D. $7.65
(A) One turkey breast costs $8.50 minus 10% of $8.50, or $8.50 − $0.85 = $7.65. The
other turkey breast is full price. $7.65 + $8.50 = $16.15.
Stan bought a monster truck for $2,000 down and payments of $450 a month for five
years. What's the total cost of the monster truck? - ANSWER - A. $4,250
B. $29,000
C. $27,000
D. $34,400
(B) Five years contain 60 months, so multiply $450 (monthly payment) × 60 = $27,000
(total payments). Then add $27,000 (total payments) + $2,000 (down payment) =
$29,000 (total cost).
Darla spent $120.37 on groceries in January, $108.45 in February, and $114.86 in
March. What was the average monthly cost of Darla's groceries? - ANSWER - A.
$343.68
B. $110.45
C. $114.86
D. $114.56
(D) Add the three monthly amounts to determine the total amount Darla spent on
groceries: $120.37 + $108.45 + $114.86 = $343.68. Divide the total by 3 to determine
the average monthly cost: $114.56.
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? -
ANSWER - A. $37
B. $45
C. $42
D. $420
(B) Multiply the total amount spent on food, $375, by 12% to determine the amount of
tips. $375 × 0.12 = $45.
How many square feet of carpeting are needed to carpet a 12-foot by 12-foot room? -
ANSWER - A. 24
B. 120
