SPECIALISTS EXAM
ASVAB - ARITHMETIC
REASONING/MATHEMATICS KNOWLEDGE
ACTUAL EXAM WITH PRACTISE QUESTIONS AND
CORRECT ANSWERS, DISTINCTION GRADE
Email us at for any
revisions Exams and Academics assistance.
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
SPECIALISTS EXAM
, SPECIALISTS EXAM
(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.
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
(a) 36
Find the number of seconds in an hour and then multiply this by the distance the
car is traveling each second. 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.
20 - (-5) = .
(a) -25
(b) 25
(c) 15
(d) -15
(b) 25
Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 =
25.
Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35
SPECIALISTS EXAM
, SPECIALISTS EXAM
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
(c) $ 25.00
(d) $40.00
(c) $25.00
If Ms. Smith's car average 35 miles per gallon, she can go 35 miles on 1 gallon. To
go 700 miles she will need 700/35, or 20 gallons of gasoline. The price of gasoline
was $1.25 per gallon, so she spent 20 x
$1.25, or $25, for her trip.
SPECIALISTS EXAM
, SPECIALISTS EXAM
After eating 25% of the jelly beans, Brett had 72 left. How many jelly beans did Brett
have originally?
(a) 90
(b) 94
(c) 95
(d) 96
(d) 96
Be careful with a question like this one. You're given the percent decrease (25%)
and the new number (72), and you're asked to reconstruct the original number.
Don't just take 25% of 72 and add it on. That 25% is based not on the new
number, 72, but on the original number - the number you're looking for. The best
way to do a problem like this is to set up an equation:
(original number) - (25% of original number) = new number
(x) - 0.25(x) =
72 0.75x = 72
x = 96
Alternatively, you can use the answer choices to determine the correct answer. The
original number of
jelly beans has to be reducible by 25%, or 1/4. That means the original number of
jelly beans has to be a multiple of 4 (or else you'd be reducing by pieces of jelly
beans). Only the correct answer, 96, is a multiple of 4.
A student finishes the first half of an exam in 2/3 the time it takes him to finish
the second half. If the entire exam takes him an hour, how many minutes does he
spend on the first half of the exam?
(a) 20
(b) s4
(c) 27
(d) 36
SPECIALISTS EXAM
ASVAB - ARITHMETIC
REASONING/MATHEMATICS KNOWLEDGE
ACTUAL EXAM WITH PRACTISE QUESTIONS AND
CORRECT ANSWERS, DISTINCTION GRADE
Email us at for any
revisions Exams and Academics assistance.
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
SPECIALISTS EXAM
, SPECIALISTS EXAM
(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.
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
(a) 36
Find the number of seconds in an hour and then multiply this by the distance the
car is traveling each second. 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.
20 - (-5) = .
(a) -25
(b) 25
(c) 15
(d) -15
(b) 25
Subtracting a negative number is the same as addition, so 20 - (-5) is really 20 + 5 =
25.
Ms. Smith drove a total of 700 miles on a business trip. If her car averaged 35
SPECIALISTS EXAM
, SPECIALISTS EXAM
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
(c) $ 25.00
(d) $40.00
(c) $25.00
If Ms. Smith's car average 35 miles per gallon, she can go 35 miles on 1 gallon. To
go 700 miles she will need 700/35, or 20 gallons of gasoline. The price of gasoline
was $1.25 per gallon, so she spent 20 x
$1.25, or $25, for her trip.
SPECIALISTS EXAM
, SPECIALISTS EXAM
After eating 25% of the jelly beans, Brett had 72 left. How many jelly beans did Brett
have originally?
(a) 90
(b) 94
(c) 95
(d) 96
(d) 96
Be careful with a question like this one. You're given the percent decrease (25%)
and the new number (72), and you're asked to reconstruct the original number.
Don't just take 25% of 72 and add it on. That 25% is based not on the new
number, 72, but on the original number - the number you're looking for. The best
way to do a problem like this is to set up an equation:
(original number) - (25% of original number) = new number
(x) - 0.25(x) =
72 0.75x = 72
x = 96
Alternatively, you can use the answer choices to determine the correct answer. The
original number of
jelly beans has to be reducible by 25%, or 1/4. That means the original number of
jelly beans has to be a multiple of 4 (or else you'd be reducing by pieces of jelly
beans). Only the correct answer, 96, is a multiple of 4.
A student finishes the first half of an exam in 2/3 the time it takes him to finish
the second half. If the entire exam takes him an hour, how many minutes does he
spend on the first half of the exam?
(a) 20
(b) s4
(c) 27
(d) 36
SPECIALISTS EXAM
