WORD PROBLEMS ON FRACTIONS OF QUANTITIES WORKSHEET

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Problem 1 :

2/3 of the birds in my aviary are finches. If there are 24 birds in my aviary, how many finches are there?

Solution

Problem 2 :

One morning two fifths of the passengers on my bus were school children. If there were 45 passengers, how many were school children?

Solution

Problem 3 :

Richard spent three quarters of his working day installing computers, and the remainder of the time travelling between jobs. If his working day was 8 hours, how much time did he spend travelling?

Solution

Problem 4 :

When Sasha played netball, she scored a goal with seven eighths of her shots for goal. If she shot for goal 16 times in a match, how many goals did she score?

Solution

Problem 5 :

A business hired a truck to transport boxes of equipment. The total weight of the equipment was 3000 kg, but the truck could only carry 5/8 of the boxes in one load.

a.   What weight did the truck carry in the first load?

b.   If there were 80 boxes, how many did the truck carry in the first load?

Solution

Problem 6 :

In an aquarium, 2/5 of the fish are surgeon fish. Of these, 3/4 are yellow tangs. What fraction of all fish in the aquarium are yellow tangs?

Solution

Problem 7 :

Sameer has 465 toffees that he wants to distribute on his birthday. He distributes 1/5 of these in the class. Out of the remaining toffees, he contributes 2/3 of his teachers. What is the number of toffees remaining with him ?

Solution

Problem 8 :

Mr. Ben got a job at the age of 23 years and he got retired from the job a the age of 60 years. What fraction of his till retirement was he in the job ?

Solution

Problem 9 :

There are 12 dozen egg crates. 7/24 of them are rotten and 1/3 of them are to be sent back. How many crates can be used ?

Solution

Problem 10 :

Kabir exercised for 3/6 of an hour, while Rohit exercised 3/4 of an hour. Who exercised longer time ?

Solution

Problem 11 :

A rectangle is divided in to certain number of equal parts. If 20 of the parts so formed represent the fraction 1/5, find the number of parts in which rectangle has been divided ?

Solution

Answer Key

1)  16 finches

2)  18 children

3)  2 hours

4)  14 goals

5)  a) 1875 kg

b) 50 boxes

6) 3/10 are yellow tangs.

7) remaining of toffees = 124

8) Fraction part he is in the job = 37/60

9) number of eggs used = 108

10) Rohit took longer time for exercise.

11)  the required number of certain parts is 100.

Problem 1 :

Gordon spent $3 on a drink and $4 on chocolates. What fraction of $10 did he spend?

Solution

Problem 2 :

Jenny scored 27 correct answers in her test of 40 questions. What fractions of her answers were incorrect?

Solution

Problem 3 :

Linda had a bag of 9 apples. She ate 3 and she fed 2 others to her horse. What fractions of her apples remain?

Solution

Problem 4 :

James was travelling a journey of 420 km. his car broke down after 280 km. what fraction of his journey did he still have to travel?

Solution

Problem 5 :

Tran started his homework at 8.15 pm and completed it at 9.08 pm. If he had allowed one hour to do his homework, what fraction of that time did he use?

Solution

Problem 6 :

Vijay had 95 cm of rope. He cut 3 pieces from it, each 30 cm long. What fraction of the rope remained?

Solution

Problem 7 :

Viktor only won one third of the games of tennis that he played for his school team. If he played 15 games, how many did he win?

Solution

Problem 8 :

One fifth of the students at a school were absent because of chicken pox. If there were 245 students in the school, how many were absent?

Solution

Problem 9 :

One sixth of the cars from an assembly line were painted white. If 222 cars came from the assembly line, how many were painted white?

Solution

Problem 10 :

Ling spent one third of her money on a new badminton racket. If she had 936 RMB before she bought the racket, how much did the racket cost?

Solution

Problem 11 :

While Evan was on holidays, one eighth of the tomato plants in his greenhouse died. If he had 96 plants alive when he went away, how many were still alive when he came home?

Solution

Problem 12 :

A pair of jeans normally costs $48. In the sales there is 1/4 off. Work out how much the jeans are in the sales?

Solution

Problem 13 :

A shop has 24 bottles of lemonade. 2/3 of bottles contain 500 ml. The rest of the bottles contain 2 liters. How much lemonade does the shop have in total ?

Solution

Problem 14 :

In January a baby elephant weighs 180 kg. By March the weight of baby elephant had increased by 3/8. Workout the weight of the baby elephant in March.

Solution

Answer Key

1)  7/10

2)  13/40

3)  4/9

4)  1/3

5)  53/60

6) 1/19

7)  5 games

8)  49 students

9)  37 cars

10)  312 RMB

11)  84 plants

12) $36

13) 24 liters

14) 247.54 kg

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