ASVAB - Practice math problems fully
solved
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 - answer (c) $128
$160 (1-.20) = 160(.8) = 128
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 - answer (b) 18
3 stations/10 minutes = (x) stations/60 minutes
Cross multiply and solve for (x).
180 = 10(x) so 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 - answer (b) 2 1/3
(3/4 )/1 = 7/4 inches / x number of miles
Cross-multiply: 7/4(1) = 3/4 (x number of miles)
Multiply both sides by 4 : 7 = 3x
x = 7/3 = 2 1/3
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 - answer (d) 45
Express the ratio of baseballs to golf balls as 2/3.
2/3 = 30/ (x number of golf balls)
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 - answer (d) $11.25
Total cost of the taxi ride equals $36(1 + .25)= $45. If four people split the cost equally, then
each person paid $45/4, or $11.25 each.
If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
(a) 36
(b) 60
(c) 72
(d) 100 - answer (a) 36
There are 60 seconds in a minute and 60 minute in one hour; therefore, there are 60 x 60, or
3,600, seconds in an hour. In one second the car travels 1/100 kilometers; in one hour the car
will travel 3,600 x 1/100 or 36 kilometers.
Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon of
gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the
trip?
(a) $20.00
(b) $ 24.00
solved
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 - answer (c) $128
$160 (1-.20) = 160(.8) = 128
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 - answer (b) 18
3 stations/10 minutes = (x) stations/60 minutes
Cross multiply and solve for (x).
180 = 10(x) so 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 - answer (b) 2 1/3
(3/4 )/1 = 7/4 inches / x number of miles
Cross-multiply: 7/4(1) = 3/4 (x number of miles)
Multiply both sides by 4 : 7 = 3x
x = 7/3 = 2 1/3
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 - answer (d) 45
Express the ratio of baseballs to golf balls as 2/3.
2/3 = 30/ (x number of golf balls)
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 - answer (d) $11.25
Total cost of the taxi ride equals $36(1 + .25)= $45. If four people split the cost equally, then
each person paid $45/4, or $11.25 each.
If a car travels 1/100 of a kilometer each second, how many kilometers does it travel in an hour?
(a) 36
(b) 60
(c) 72
(d) 100 - answer (a) 36
There are 60 seconds in a minute and 60 minute in one hour; therefore, there are 60 x 60, or
3,600, seconds in an hour. In one second the car travels 1/100 kilometers; in one hour the car
will travel 3,600 x 1/100 or 36 kilometers.
Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35 miles per gallon of
gasoline and gasoline cost $1.25 per gallon, what was the cost in dollars of the gasoline for the
trip?
(a) $20.00
(b) $ 24.00
