Arithmetic Reasoning PICAT Exam 2023 with complete
solution
Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate
of $6 per hour, how much did he earn that day?
B. $5.00
A woman is looking for a bigger square office. She finds an office twice the area
of her current office. If the perimeter of her current office is 88 feet, how many
square feet is the new office?
C. 968 sq. ft.
How many feet of chain fence are necessary to enclose a dog pen that is square
and has an area of 64 square feet?
C. 32
A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it
can go on level ground. If it goes 120 mph downhill, how long will it take to travel
45 miles on flat land?
C. 1-1/2 hours
The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24
each. Today, only 2 puppies and 8 kittens were left. In dollar terms, what was the
ratio of sales of puppies to kittens?
A. 13 to 3
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and
randomly takes one marble. What is the probability of that child getting a green
marble?
B. .40
Each August, a restaurant's rent is adjusted to the cost-of-living index. The rent
has been $1,550 a month, and the cost-of-living for this August was 3.7%. What is
the new rent per
B. $1,607.35
If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters?
B. 4:1
If the perimeter of a square garden is 84 feet, what is the area of the garden?
D. 441 sq. ft.
The price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at
a supermarket. How much would it cost per pound at the supermarket?
B. $3.60
Jamie just bought two boxes. The first box is square, with each side measuring
10 units, and is 4 units high. The second box is rectangular and has twice the
volume of the square box. If the height of the second box is 5 units, and the width
is 10 units, what is the length of the second box?
C. 16 units
A printing press will print 6,000 copies in 20 minutes. A second press can print
15,000 copies in 60 minutes. How many more copies per minute will the faster
press print than the slower press?
A. 50
solution
Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate
of $6 per hour, how much did he earn that day?
B. $5.00
A woman is looking for a bigger square office. She finds an office twice the area
of her current office. If the perimeter of her current office is 88 feet, how many
square feet is the new office?
C. 968 sq. ft.
How many feet of chain fence are necessary to enclose a dog pen that is square
and has an area of 64 square feet?
C. 32
A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it
can go on level ground. If it goes 120 mph downhill, how long will it take to travel
45 miles on flat land?
C. 1-1/2 hours
The pet store had 6 puppies selling for $104 each and 12 kittens selling for $24
each. Today, only 2 puppies and 8 kittens were left. In dollar terms, what was the
ratio of sales of puppies to kittens?
A. 13 to 3
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and
randomly takes one marble. What is the probability of that child getting a green
marble?
B. .40
Each August, a restaurant's rent is adjusted to the cost-of-living index. The rent
has been $1,550 a month, and the cost-of-living for this August was 3.7%. What is
the new rent per
B. $1,607.35
If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters?
B. 4:1
If the perimeter of a square garden is 84 feet, what is the area of the garden?
D. 441 sq. ft.
The price of salmon at a fish market is $5.40 per pound. This is 150% of its cost at
a supermarket. How much would it cost per pound at the supermarket?
B. $3.60
Jamie just bought two boxes. The first box is square, with each side measuring
10 units, and is 4 units high. The second box is rectangular and has twice the
volume of the square box. If the height of the second box is 5 units, and the width
is 10 units, what is the length of the second box?
C. 16 units
A printing press will print 6,000 copies in 20 minutes. A second press can print
15,000 copies in 60 minutes. How many more copies per minute will the faster
press print than the slower press?
A. 50
