ASVAB (ARITHMETIC REASONING
PRACTICE QUESTIONS) WITH A+
GRADED ANSWERS
This question asks you to determine the sale price of a camera that normally sells at $160 and is discount
ed 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) - correct answer-
John bought a camera on sale that normally costs $160. If the price was reduced 20% during the sale, wh
at was the sale price of the camera?
(a) $120
(b) $124
(c) $128
(d) $140
(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) - correct answer-
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) 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 t
o 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:
7/4Tinches
7/4Tinches / 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 - correct answer-
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
(d) 45
You can express the ratio of baseballs to golf balls as 2/3. Since you know the number of baseballs, you c
an 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. - correct answer-
A certain box contains baseballs and golf balls. If the ratio of baseballs to golf ballsTis 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) $11.25
The total cost of the taxi ride equals $36 + (25%Tof $36), or $36 + (.25 x $36) = $36 + $9 = $45. If four peo
ple split the cost equally, then each person paid $45/4, or $11.25 each. - correct answer-
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
PRACTICE QUESTIONS) WITH A+
GRADED ANSWERS
This question asks you to determine the sale price of a camera that normally sells at $160 and is discount
ed 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) - correct answer-
John bought a camera on sale that normally costs $160. If the price was reduced 20% during the sale, wh
at was the sale price of the camera?
(a) $120
(b) $124
(c) $128
(d) $140
(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) - correct answer-
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) 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 t
o 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:
7/4Tinches
7/4Tinches / 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 - correct answer-
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
(d) 45
You can express the ratio of baseballs to golf balls as 2/3. Since you know the number of baseballs, you c
an 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. - correct answer-
A certain box contains baseballs and golf balls. If the ratio of baseballs to golf ballsTis 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) $11.25
The total cost of the taxi ride equals $36 + (25%Tof $36), or $36 + (.25 x $36) = $36 + $9 = $45. If four peo
ple split the cost equally, then each person paid $45/4, or $11.25 each. - correct answer-
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
