Word Problems

Use your knowledge of fractions and percentages to solve the following word problems:


1. Anna borrowed £350 from Sam in the month of May. She paid £100 back to him in June and £150 back in July. What fraction of the borrowed amount did Anna have left to pay back?

2. In a football club of 40 pupils, 4 were absent. What fraction of the pupils were present?

3. Following are the results of a survey conducted among 36 pupils about their favourite sandwich:

     Type of sandwich                     No: of votes

        Peanut Butter                            6
        Grilled Cheese                          9
        Chocolate spread                      9
        Jam and Butter                         12

What fraction of the pupils like 
a) Jam and Butter
b) Chocolate spread
c) Grilled Cheese
d) Peanut Butter?

4. If 4 apples were shared equally among 6 children, how much apple would each receive?

5. If you had to share 6 pizzas equally among 15 children, how many slices should you cut one pizza into? What fraction of a pizza would 1 child receive?

6. The following table shows the result of a survey conducted among children about their favourite after school activities:

         Type of activity                 Number
            Swimming                         16
            Football                            32
            Martial arts                       12
            Hockey                             10
            Gymnastics                       10

a) What fraction of children liked hockey?
b) What percentage of children liked football?
c) What percentage of children liked swimming?
d) What fraction of children liked gymnastics?
e) What percentage of children liked football?

7. The capacity of a water bottle is 2 litres. How much water will be in the bottle if it's 4/5 full?

8. If 360 ml of oil is left in a half litre oil can, what percentage of it is full?

9. The following table shows the amount of rainfall received by a town from September to December.

          Month                              Rainfall in cm
       September                               50
       October                                   75
       November                               100
       December                                 25
a) What percentage of total rainfall is received in the month of September?
b) What percentage of total rainfall is received in the month of November?
c) What fraction of total rainfall is received in the month of October?
d) What percentage of total rainfall is received in the month of December?

10) What fraction of an hour is 5 minutes?