Arithmetic Reasoning

Question 1

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

Answer 1

103

Question 2

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?

Answer 2

5

Question 3

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

Answer 3

32

Question 4

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?

Answer 4

968

Question 5

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 miles per hour downhill, how long will it take to travel 45 miles on flat land?

Answer 5

1/2 hour

Question 6

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 index for this August was 3.7%. What is the new rent per month?

Answer 6

1607.35

Question 7

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?

Answer 7

40%

Question 8

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?

Answer 8

13:3

Question 9

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?

Answer 9

16 units

Question 10

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

Answer 10

4:1

Question 11

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

Answer 11

441

Question 12

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?

Answer 12

$3.60

Question 13

A printing press will print 6,000 copies in 20 minutes. 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?

Answer 13

50 more per minute
or 3,000 more in an hour

Question 14

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

Answer 14

125%

Question 15

Debra and Ian shared in a $1,000,000 estate. If lan received $125.000, and Debra the rest, what fraction of the estate did Debra receive?

Answer 15

7/8

Question 16

An artist once wrote, “I draw material from the history of the past, wherein we see how nations have risen from savage state to that of power and glory, and then have fallen and become extinct.”

Answer 16

A perpetual of unresolved turmoil

Question 17

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

Answer 17

25%

Question 18

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

Answer 18

100

Question 18

Five people working 8-hour days assemble 400 toys in a 5-day work week. What is the average number of toys assembled per hour, per person?

Answer 18

2

Question 19

A homeowner plans to hang wallpaper on one wall of a bedroom that is 10 feet long. If a strip of wallpaper is 20 inches wide and strips are hung vertically, how many strips of wallpaper will the homeowner require?

Answer 19

6

Question 19

A sweater originally priced at 80 was marked down by 25%. what was the sale price?

Answer 19

60

Question 20

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?

Answer 20

50

Question 21

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

Answer 21

13,000

Question 22

A student bought a sandwich for 80 cents, milk for 20 cents, and pie for 30 cents. How much does the Meal cost?

Answer 22

1.30

Question 23

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?

Answer 23

5

Question 23

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 were eaten what portion of the pie remains?

Answer 23

1/16

Question 24

A certain bag of potting soil is 1/4 Peat Moss, and the rest is dirt what part is dirt?

Answer 24

3/4 or 75% or .75

Question 25

An airplane is at 32,000 feet above sea level and descends at an average rate of 1,000 feet per minute. How many minutes will it take for the airplane to land at an airport 3,000 feet above sea level?

Answer 25

29

Question 26

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?

Answer 26

30

Question 27

A company announced that 40% of those enrolled in its training program will be sent to a new plant. If there are 60 people enrolled in the training program how many will be sent to the new plant?

Answer 27

24

Question 28

Before being painted a concrete play area was marked off into squares and then into triangles for the square shown what the area of the triangle part label?

Answer 28

32 ft one half base times height