ASVAB - Arithmetic Reasoning/Mathematics
Knowledge Exam Questions and Answers
100% Pass
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)
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,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)
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,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
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, 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?
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Knowledge Exam Questions and Answers
100% Pass
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)
COPYRIGHT © 2025 BY KATELYN WHITMAN, ALL RIGHTS RESERVED 1
,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)
COPYRIGHT © 2025 BY KATELYN WHITMAN, ALL RIGHTS RESERVED 2
,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
COPYRIGHT © 2025 BY KATELYN WHITMAN, ALL RIGHTS RESERVED 3
, 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?
COPYRIGHT © 2025 BY KATELYN WHITMAN, ALL RIGHTS RESERVED 4
