# EXPRESSING A QUANTITY AS A PERCENTAGE OF ANOTHER WORKSHEET

Write the first quantity as percentage of the second.

Problem 1 :

36 out of 72

Solution

Problem 2 :

77 out of 440

Solution

Problem 3 :

180 out of 900

Solution

Problem 4 :

A school football team plays 25 games in a season. They win 17, draw 2 and lose the rest. Express the numbers won, draw and lost as percentage of the total number of games played.

Solution

Problem 5 :

An airline has a fleet of 80 planes. Of these, 10 are being serviced at any one time. What percentage of the fleet is available for flights ?

Solution

Problem 6 :

A car manufacturer produces 175000 sports cars a year. They are only available in white, black and red. 52500 are white, 78750 are black and the rest are red.

a)  What percentage of the cars are black ?

b) What percentage are white ?

c) What percentage are red ?

Solution

Problem 7 :

Sylvia answered 62% of the students on a math test correctly.

They were 30 questions on the test.

How many questions did Sylvia answer correctly ?

Solution

Problem 8 :

In a class of 28, 16 pupils are girls. What percentage of the class are boys ?

Solution

Problem 9 :

A car journey took 7 hours to complete. What percentage of the day was spent on the journey ?

Solution

Problem 10 :

The number of trees in the forest increased from 80 to 125 from 2001 to 2006. What percentage had the number of trees increased ?

Solution

1)  50%

2) 175%

3) 20%

4)  Percentage of games they won = 68%

Percentage of games they met draw = 8%

Percentage of games they lost = 24%

5)  87.5%

6)  a) 45%   b)  30%     c)  25%

7)  Number of questions she has answered correctly is 19.

8)   percentage of boys is 50%.

9)  Approximately 29%.

10)  the percentage of increase is approximately 56%.

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