Arithmetic Reasoning (PiCAT)

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 month?

$1,607.35

Together, two people earn $28,000. One earns $2,000 more than the other. How much is the smaller income?

$13,000

What is the cost of mailing a package that weighs 2 pounds 3 ounces, if the cost is $1.50 plus 0.05 for each ounce over 6 ounces?

$2.95

Shawn purchased for $22.05 if this shirt includes a 5% sales tax, what was the actual price of the shirt?

$20.96

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?

$3.60

Jerry walked a dog from 6:40 am to 7:30 am one day. If he was paid at the rate of $6 an hour, how much did he earn that day?

$5

A pizza is cut into 8 equal pieces. A person who eats 1/2 of one piece eats what fraction of the pizza?

1/16

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?

1/2 hour

A plumber has a car payment of $250 per month, $225 of which goes to paying off the principal, and the rest goes toward the interest. What percentage is being paid for interest?

10%

An electronics store had a 20%-off sale. If a stereo originally cost $125, how much did the stereo cost during the sale?

100

Terry earns a $250 salary plus $5 per sale. How many sales must terry make to earn $765 altogether?

103

There are 400 silver dollars in two bags. If 275 are in one bag, how many are in the other?

125

If the population of a certain city increased 25% in two years, the new population was what percent of the old?

125%

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?

13:3

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?

16 units

Five people each working 8hrs a day can assemble 400 toys in a 5-day work week. What is the average number of toys per person?

2

How many 5-pound bags of apples can be made from 400 apples, each weighing 1/4 pound?

20

A box of nails weighs 1-5/6 pounds. What is the weight of 12 boxes?

22lbs

If a cyclist travels at an average rate of 24 miles per day, how many days will it take the cyclist to travel 600 miles?

25

If 35 of the 140 cars delivered to a dealer were blue, what percent of the cars were blue?

25%

A gas can is filled at the rate of 320 cubic inches per minute. The can is 10 inches long, 8 inches wide, and 12 inches high. How many minutes will it take to fill the can?

3 min

If a 5-foot post casts an 8-foot shadow at the same time that a nearby tree casts a 48-foot shadow, how tall is the tree?

30ft

How many feet of chain fence are necessary to enclose a dog pen that is square and has an area of 64 square feet?

32

If the ratio of the sides of two squares is 3:1, what is the ratio of their perimeters?

3:1

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?

40%

The shaded region of the design shown is to be painted red. What is the area in square units of the shaded region?

43.0

If the perimeter of a square garden is 84 feet, what is the area of the garden?

441

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?

50

A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in one minute, what percentage of the time did the radar track the aircraft?

50%

Debra and Ian shared in a $1,000,000 estate. If Ian received $125,000, and Debra the rest, what fraction of the estate did Debra receive?

7/8

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?

968

A certain bag of potting soil is ¼ peat moss, and the rest is dirt. What part is dirt?

¾

A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was cut into two equal pieces. If two of the pieces of the pie are eaten, what portion of the pie remains?

¾

Before being painted, a concrete play area was marked off into squares and then into triangles. For the square shown, what is the area of the triangular part labeled XYZ?

¾