ASVAB MATH /ARITHMETIC REASONING
EXAM 2026-2027 QUESTIONS AND CORRECT
ANSWERS GRADED A+
John bought a camera on sale that normally costs $160. If the price was reduced
20% during the sale, what was the sale price of the camera?
(a) $120
(b) $124
(c) $128
(d) $140
(c) $128
This question asks you to determine the sale price of a camera that normally sells
at $160 and is discounted 20%. To solve, determine what 20% of $160 equals.
Rewrite 20% as a decimal.
20% = 0.20. So 20% of $160 = 0.20 x $160 = $32.
The sale price of the camera would be $160 - $32 = $128, choice (c)
A subway car passes 3 stations every 10 minutes. At this rate, how many stations
will it pass in one hour?
,(a) 15
(b) 18
(c) 20
(d) 30
(b) 18
First, set up the rate as a proportion, where (x) is the number of stations.
3 stations/10 minutes = (x) stations/1 hour
Then, convert the units.
3 stations/10 minutes = (x) stations/60 minutes
Cross multiply and solve for (x).
180 = 10(x)
18 = (x)
On a certain map, 3/4 inch represents one mile. What distance, in miles, is
presented by 1 3/4 inches?
(a) 1 1/2
(b) 2 1/3
,(c) 2 1/2
(d) 5 1/4
(b) 2 1/3
In this question, the ratio is implied: for every 3/4 inch of map there is 1 real mile,
so the ratio of inches to the miles they represent is always 3/4 to 1. Therefore, you
can set up the proportion:
number of inches/ number of miles = 3/ = 3/4
Now 1 3/4 inches = 7/4 inches.
Set up a proportion:
7/4 inches
7/4 inches / number of miles = 3/4
Cross-multiply:
7/4(4) = 3 (number of miles)
7= 3(number of miles)
7/3 = number of miles or 2 1/3 = number of miles
, A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls
is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box?
(a) 18
(b) 20
(c) 36
(d) 45
(d) 45
You can express the ratio of baseballs to golf balls as 2/3. Since you know the
number of baseballs, you can set up a proportion: 2/3 = 30/ (x) where (x) is the
number of golf balls. To solve, cross-multiply to get 2(x) = 90, or x = 45.
Four people shared a taxi to the airport. The fare was $36.00, and they gave the
driver a tip equal to 25% of the fare. If they equally shared the cost of the fare and
tip, how much did each person pay?
(a) $9.75
(b) $10.25
(c) $10.75
(d) $11.25
(d) $11.25
The total cost of the taxi ride equals $36 + (25% of $36), or $36 + (.25 x $36) =
$36 + $9 = $45. If four people split the cost equally, then each person paid $45/4,
or $11.25 each.
EXAM 2026-2027 QUESTIONS AND CORRECT
ANSWERS GRADED A+
John bought a camera on sale that normally costs $160. If the price was reduced
20% during the sale, what was the sale price of the camera?
(a) $120
(b) $124
(c) $128
(d) $140
(c) $128
This question asks you to determine the sale price of a camera that normally sells
at $160 and is discounted 20%. To solve, determine what 20% of $160 equals.
Rewrite 20% as a decimal.
20% = 0.20. So 20% of $160 = 0.20 x $160 = $32.
The sale price of the camera would be $160 - $32 = $128, choice (c)
A subway car passes 3 stations every 10 minutes. At this rate, how many stations
will it pass in one hour?
,(a) 15
(b) 18
(c) 20
(d) 30
(b) 18
First, set up the rate as a proportion, where (x) is the number of stations.
3 stations/10 minutes = (x) stations/1 hour
Then, convert the units.
3 stations/10 minutes = (x) stations/60 minutes
Cross multiply and solve for (x).
180 = 10(x)
18 = (x)
On a certain map, 3/4 inch represents one mile. What distance, in miles, is
presented by 1 3/4 inches?
(a) 1 1/2
(b) 2 1/3
,(c) 2 1/2
(d) 5 1/4
(b) 2 1/3
In this question, the ratio is implied: for every 3/4 inch of map there is 1 real mile,
so the ratio of inches to the miles they represent is always 3/4 to 1. Therefore, you
can set up the proportion:
number of inches/ number of miles = 3/ = 3/4
Now 1 3/4 inches = 7/4 inches.
Set up a proportion:
7/4 inches
7/4 inches / number of miles = 3/4
Cross-multiply:
7/4(4) = 3 (number of miles)
7= 3(number of miles)
7/3 = number of miles or 2 1/3 = number of miles
, A certain box contains baseballs and golf balls. If the ratio of baseballs to golf balls
is 2:3 and there are 30 baseballs in the box, how many golf balls are in the box?
(a) 18
(b) 20
(c) 36
(d) 45
(d) 45
You can express the ratio of baseballs to golf balls as 2/3. Since you know the
number of baseballs, you can set up a proportion: 2/3 = 30/ (x) where (x) is the
number of golf balls. To solve, cross-multiply to get 2(x) = 90, or x = 45.
Four people shared a taxi to the airport. The fare was $36.00, and they gave the
driver a tip equal to 25% of the fare. If they equally shared the cost of the fare and
tip, how much did each person pay?
(a) $9.75
(b) $10.25
(c) $10.75
(d) $11.25
(d) $11.25
The total cost of the taxi ride equals $36 + (25% of $36), or $36 + (.25 x $36) =
$36 + $9 = $45. If four people split the cost equally, then each person paid $45/4,
or $11.25 each.
