Math OAR Practice Questions
A 6 foot-tall farmer wants to determine the height of his barn. He notices that his
shadow is 10 feet long and his barn casts a shadow 75 feet long. How high is the barn?
a. 30 feet
b. 35 feet
c. 40 feet
d. 45 feet - answerd. 45 feet
Assume that it takes an average of 3 man-hours to stack 1 ton of a particular item. In
order to stack 36 tons in 6 hours, the number of persons required is
a. 9
b. 12
c. 15
d. 18
e. 21 - answerd. 18
Two office workers have been assigned to address 750 envelopes. One addresses
twice as many envelopes per hour as the other. If it takes five hours for them to
complete the job, what was the rate of the slower worker ?
a. 50 envelopes per hour
b. 75 envelopes per hour
c. 100 envelopes per hour
d. 124 envelopes per hour
e. 150 envelopes per hour - answera. 50 envelopes per hour
One recruit can complete a certain assignment in 40 minutes; another recruit can
complete the same assignment in one hour. How long would it take to complete the
assignment if the two recruits worked together?
a. 12 minutes
b. 18 minutes
c. 24 minutes
d. 30 minutes - answerc. 24 minutes
A naval detachment has enough rations to feed sixteen people for 10 days. If four more
people join the detachment, for how many fewer days will the rations last?
a. 1
b. 2
c. 3
d. 4 - answerb. 2 days
, In a 3-hour examination of 320 questions, there are 40 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
a. 40 minutes
b. 45 minutes
c. 50 minutes
d. 55 minutes - answera. 40 minutes
The ratio of Democrats to Republicans in a certain state legislature is 5:7. If the
legislature has 156 members, all of whom are either Democrats or Republicans (but not
both), what is the difference between the number of Republicans and the number of
Democrats?
a. 14
b. 26
c. 35
d. 37
e. 46 - answer
One printing press can do a job in 8 hours. Another printing press can do the same job
in 12 hours. How long would it take both presses, working together, to do the job?
a. 4 hours 12 minutes
b. 4 hours 24 minutes
c. 4 hours 36 minutes
d. 4 hours 48 minutes
e. 5 hours - answerd. 4 hours 48 minutes
Successive discounts of 20% and 15% are equivalent to a single discount of
a. 32%
b. 33%
c. 34%
d. 35% - answera. 32%
The price of a one-hundred-dollar item after successive discounts of 10% and 15% is
a. $75.00
b. $75.50
c. $76.00
d. $76.50
e. $77.00 - answerd. 76.50
A Navy recruiting station enlisted 560 people. Of these, 25% were under 20 years old
and 35% were 20 to 22 years old. How many of the recruits were over 22 years old?
a. 196
b. 224
c. 244
d. 280
e. 336 - answerb. 224
A 6 foot-tall farmer wants to determine the height of his barn. He notices that his
shadow is 10 feet long and his barn casts a shadow 75 feet long. How high is the barn?
a. 30 feet
b. 35 feet
c. 40 feet
d. 45 feet - answerd. 45 feet
Assume that it takes an average of 3 man-hours to stack 1 ton of a particular item. In
order to stack 36 tons in 6 hours, the number of persons required is
a. 9
b. 12
c. 15
d. 18
e. 21 - answerd. 18
Two office workers have been assigned to address 750 envelopes. One addresses
twice as many envelopes per hour as the other. If it takes five hours for them to
complete the job, what was the rate of the slower worker ?
a. 50 envelopes per hour
b. 75 envelopes per hour
c. 100 envelopes per hour
d. 124 envelopes per hour
e. 150 envelopes per hour - answera. 50 envelopes per hour
One recruit can complete a certain assignment in 40 minutes; another recruit can
complete the same assignment in one hour. How long would it take to complete the
assignment if the two recruits worked together?
a. 12 minutes
b. 18 minutes
c. 24 minutes
d. 30 minutes - answerc. 24 minutes
A naval detachment has enough rations to feed sixteen people for 10 days. If four more
people join the detachment, for how many fewer days will the rations last?
a. 1
b. 2
c. 3
d. 4 - answerb. 2 days
, In a 3-hour examination of 320 questions, there are 40 mathematics problems. If twice
as much time should be allowed for each mathematics problem as for each of the other
questions, how many minutes should be spent on the mathematics problems?
a. 40 minutes
b. 45 minutes
c. 50 minutes
d. 55 minutes - answera. 40 minutes
The ratio of Democrats to Republicans in a certain state legislature is 5:7. If the
legislature has 156 members, all of whom are either Democrats or Republicans (but not
both), what is the difference between the number of Republicans and the number of
Democrats?
a. 14
b. 26
c. 35
d. 37
e. 46 - answer
One printing press can do a job in 8 hours. Another printing press can do the same job
in 12 hours. How long would it take both presses, working together, to do the job?
a. 4 hours 12 minutes
b. 4 hours 24 minutes
c. 4 hours 36 minutes
d. 4 hours 48 minutes
e. 5 hours - answerd. 4 hours 48 minutes
Successive discounts of 20% and 15% are equivalent to a single discount of
a. 32%
b. 33%
c. 34%
d. 35% - answera. 32%
The price of a one-hundred-dollar item after successive discounts of 10% and 15% is
a. $75.00
b. $75.50
c. $76.00
d. $76.50
e. $77.00 - answerd. 76.50
A Navy recruiting station enlisted 560 people. Of these, 25% were under 20 years old
and 35% were 20 to 22 years old. How many of the recruits were over 22 years old?
a. 196
b. 224
c. 244
d. 280
e. 336 - answerb. 224
