Data and charts · Ages 11–12

Pie charts worksheet

Part of: Line graphs, the mean (average) and pie charts

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Data and charts · Ages 11–12

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

13.In a pie chart, one sector has an angle of 306° at the centre. What percentage of the whole circle is that sector?
Working:
Answer:
14.A pie chart is split into four parts. Three of them are 15%, 20% and 35%. What percentage is the fourth part?
Working:
Answer:
15.A pie chart shows how 720 people on a housing estate get to work. The bus sector has an angle of 30° at the centre. How many people go by bus?
Working:
Answer:
16.A pie chart is split into four parts. Three of them are 15%, 40% and 25%. What percentage is the fourth part?
Working:
Answer:
17.In a pie chart, one sector has an angle of 270° at the centre. What percentage of the whole circle is that sector?
Working:
Answer:
18.A pie chart shows the favourite fruit of 200 pupils in a class. Apples make up 50% of the chart. How many pupils like apples best?
Working:
Answer:

Show the answers and working

Pie charts worksheet: Answers and working

1. 200 pupils in all: Blue = 50 pupils
Find 5% first: 200 ÷ 20 = 10; 25% is 5 lots of 5%, 10 × 5 = 50
2. $200 in all: Savings = $60
Find 10% first: 200 ÷ 10 = 20; 30% is 3 lots of 10%, 20 × 3 = 60
3. Red: 15% of the whole
The parts make 100%: add the ones you know first, 15 + 25 = 40, 40 + 45 = 85, 100 − 85 = 15, so Red is 15%
4. Toys: 20% of the whole
The parts make 100%: add the ones you know first, 50 + 15 = 65, 65 + 15 = 80, 100 − 80 = 20, so Toys is 20%
5. $720 in all: Stationery = $90
What part of 360° is 45°? 360 ÷ 45 = 8, so 18; 720 ÷ 8 = 90
6. Blue: 40% of the whole
The parts make 100%: add the ones you know first, 20 + 20 = 40, 40 + 20 = 60, 100 − 60 = 40, so Blue is 40%
7. 200 pupils in all: Yellow = 40 pupils
Find 10% first: 200 ÷ 10 = 20; 20% is 2 lots of 10%, 20 × 2 = 40
8. $240 in all: Savings = $60
What part of 360° is 90°? 360 ÷ 90 = 4, so 14; 240 ÷ 4 = 60
9. Yellow: 25% of the whole
The parts make 100%: add the ones you know first, 20 + 25 = 45, 45 + 30 = 75, 100 − 75 = 25, so Yellow is 25%
10. Yellow: 40% of the whole
The parts make 100%: add the ones you know first, 15 + 25 = 40, 40 + 20 = 60, 100 − 60 = 40, so Yellow is 40%
11. $500 in all: Stationery = $150
Find 10% first: 500 ÷ 10 = 50; 30% is 3 lots of 10%, 50 × 3 = 150
12. Savings: 20% of the whole
The parts make 100%: add the ones you know first, 15 + 50 = 65, 65 + 15 = 80, 100 − 80 = 20, so Savings is 20%

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. In a pie chart, one sector has an angle of 306° at the centre. What percentage of the whole circle is that sector? (Answer: 85%)
306 ÷ 360 × 100 = 85
14. A pie chart is split into four parts. Three of them are 15%, 20% and 35%. What percentage is the fourth part? (Answer: 30%)
100 − 15 − 20 − 35 = 30
15. A pie chart shows how 720 people on a housing estate get to work. The bus sector has an angle of 30° at the centre. How many people go by bus? (Answer: 60 people)
30 ÷ 360 × 720 = 60
16. A pie chart is split into four parts. Three of them are 15%, 40% and 25%. What percentage is the fourth part? (Answer: 20%)
100 − 15 − 40 − 25 = 20
17. In a pie chart, one sector has an angle of 270° at the centre. What percentage of the whole circle is that sector? (Answer: 75%)
270 ÷ 360 × 100 = 75
18. A pie chart shows the favourite fruit of 200 pupils in a class. Apples make up 50% of the chart. How many pupils like apples best? (Answer: 100 pupils)
200 × 50 ÷ 100 = 100

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