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Introduction to Percentages

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Introduction to Percentages

Show your working for calculations. Include the % symbol where needed.

Understanding percentages

1.What does 18% mean?

18 parts out of 10
18 parts out of 100
18 parts out of 1,000
100 parts out of 18

2.A complete amount is represented by which percentage?

10%
80%
100%
150%

3.The bar is divided into four equal parts, and one part is shaded. What percentage of the bar is shaded?

4.Write 42% as a number of parts out of 100.

5.A whole tray of muffins has 100 muffins. What number of muffins is 35% of the tray?

Converting between fractions, decimals and percentages

6.Convert 3/5 to a percentage.

7.Convert 7/20 to a percentage.

8.Convert 0.32 to a percentage.

9.Convert 1.08 to a percentage.

10.Convert 9% to a decimal.

11.Convert 125% to a decimal.

12.Match each percentage with its equivalent value.

40%
12.5%
75%
0.6%
60%

0.125
3/5
0.006
0.4
3/4

Percentages in everyday situations

13.A jacket is marked at $80 and is reduced by 15%. How much money is taken off the original price?

14.A group of 24 students includes 18 who travel to school by bus. What percentage of the group travels by bus?

15.In a survey of 200 people, 68% said they usually bring a reusable drink bottle. How many people gave this response?

16.A council survey found that 68% of 200 people usually bring a reusable drink bottle. How many people did not give this response, and what percentage of the group is that?

17.A phone has a normal price of $250. Its sale price is 80% of the normal price. Calculate the sale price.

18.Describe one way percentages can help someone make a decision in everyday life. Give a specific example.