Arithmetic Reasoning PICAT (2023)
question answered 100% correct
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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct answer 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? - correct
answer 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 - correct answer B. $1,607.35
If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters? -
correct answer B. 4:1
If the perimeter of a square garden is 84 feet, what is the area of the garden? - correct
answer 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? - correct answer
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? - correct answer C. 16 units
