Data and charts · Ages 11–12
Drawing pie charts and surveys worksheet
Part of: Line graphs, the mean (average) and pie charts
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Drawing pie charts and surveys worksheet
Data and charts · Ages 11–12
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.A survey asks 72 people, and 6 of them choose “swimming”. On a pie chart, how many degrees is the swimming sector?
Answer:
2.A survey asks 30 people. On a pie chart all of them make the whole 360°. How many degrees is each person?
Answer:
3.A survey asks 24 people. On a pie chart all of them make the whole 360°. How many degrees is each person?
Answer:
4.The results of a survey of 120 people are drawn as a pie chart, and the running sector is 9°. How many people chose running?
Answer:
5.The results of a survey of 40 people are drawn as a pie chart, and the running sector is 108°. How many people chose running?
Answer:
Part B: Choose, or true or false (2 marks each)
6.The results of a vote: A 8 votes, B 2, C 5. Which pie chart matches the results?
- A
- B
- C
- D
Choose the right picture
Answer:
7.Survey results: A 4 people, B 6, C 5. The pie chart matches the results.
True or false?
Answer:
8.Ka-lok wants to know which sport the 120 members of a community centre like best. Which survey question is best?
- A. Which sport do you like best? (football / basketball / swimming / other)
- B. Do you like sport?
- C. Football is the most exciting sport, so it is your favourite too, isn't it?
- D. Do you like football or basketball best?
Choose the right answer
Answer:
9.The results of a vote: A 4 votes, B 9, C 8. Which pie chart matches the results?
- A
- B
- C
- D
Choose the right picture
Answer:
10.Ka-lok wants to know which sport the 70 members of a community centre like best. Which survey question is best?
- A. Do you like sport?
- B. Which sport do you like best? (football / basketball / swimming / other)
- C. Do you like football or basketball best?
- D. Football is the most exciting sport, so it is your favourite too, isn't it?
Choose the right answer
Answer:
11.Survey results: A 3 people, B 9, C 2. The pie chart matches the results.
True or false?
Answer:
12.Tsz-hin wants to ask friends “How many hours of TV do you watch a week?” (whole hours only). Which set of answer choices is best?
- A. 0–2 / 4–6 / 7 or more
- B. 0–2 / 3–6 / 7 or more
- C. 0–2 / 3–6
- D. 0–2 / 2–6 / 6 or more
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.May wants to find out which sport people in Hong Kong like best. Which way of doing the survey is best?
- A. Ask 20 people at random on the streets of each of 6 different districts
- B. Ask just the 3 people at home
- C. Ask 50 fans in the stands at a football ground
- D. Ask 50 swimmers by a swimming pool
Choose the right answer
Working:
Answer:
14.Ming asks 30 friends their favourite fruit: 10 choose mango and 8 choose watermelon. On a pie chart, the mango sector is ° and the watermelon sector is °.
Fill in each blank
Working:
Answer:
15.90 residents vote on a plan, and the results are drawn as a pie chart: “for” is 136°, “against” is 8°, and the rest are “not sure”. How many are not sure?
Working:
Answer:
16.A cha chaan teng counts the drinks with 72 breakfasts and draws a pie chart; the milk tea sector is 40°. How many breakfasts came with milk tea?
Working:
Answer:
17.A community centre asks 120 residents how they usually get about: 19 take the MTR, 20 take the bus and the rest walk. On a pie chart of the results, how many degrees is the walking sector?
Working:
Answer:
18.A community centre asks 90 residents how they usually get about: 23 take the MTR, 15 take the bus and the rest walk. On a pie chart of the results, how many degrees is the walking sector?
Working:
Answer:
Show the answers and working
Drawing pie charts and surveys worksheet: Answers and working
Part A: Working out and filling in
1. 30°
All 72 people make the whole 360°. Find one person's share first: 360 ÷ 72.
All 72 people are 360°, so each is 360 ÷ 72 = 5°; 6 people are 6 × 5 = 30°.
2. 12°
All 30 people make the whole 360°: share 360 equally into 30.
Share 360° equally among 30 people: 360 ÷ 30 = 12, so each person is 12°.
3. 15°
All 24 people make the whole 360°: share 360 equally into 24.
Share 360° equally among 24 people: 360 ÷ 24 = 15, so each person is 15°.
4. 3 people
All 120 people make 360°. Find one person's share first, then see how many shares fit in 9°.
Each person is 360 ÷ 120 = 3°; 9 ÷ 3 = 3 people.
5. 12 people
All 40 people make 360°. Find one person's share first, then see how many shares fit in 108°.
Each person is 360 ÷ 40 = 9°; 108 ÷ 9 = 12 people.
Part B: Choose, or true or false
6. A
See who has the most votes and who the fewest, then find the chart whose sectors go in the same order and check each.
A is 815, B 215, C 515: the most votes, the biggest sector; then check each in turn.
7. True
A has 4 and B has 6: which is more? Whose sector should be bigger? Check each one.
A should be 415 and B 615. In the chart, A's sector is 415, B's 615 and C's 515: it matches only if these agree.
8. A. Which sport do you like best? (football / basketball / swimming / other)
A good question doesn't push people towards one answer, gives every choice, and asks just what you want to know.
A good question doesn't lead, has every choice (with “other”), and asks exactly what you want to know.
9. D
See who has the most votes and who the fewest, then find the chart whose sectors go in the same order and check each.
A is 421, B 921, C 821: the most votes, the biggest sector; then check each in turn.
10. B. Which sport do you like best? (football / basketball / swimming / other)
A good question doesn't push people towards one answer, gives every choice, and asks just what you want to know.
A good question doesn't lead, has every choice (with “other”), and asks exactly what you want to know.
11. True
A has 3 and B has 9: which is more? Whose sector should be bigger? Check each one.
A should be 314 and B 914. In the chart, A's sector is 314, B's 914 and C's 214: it matches only if these agree.
12. B. 0–2 / 3–6 / 7 or more
Every whole number of hours must fit exactly one choice: check for overlaps and gaps.
Every possible number of hours must fit exactly one choice: no overlaps, no gaps, and “or more” at the end.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. A. Ask 20 people at random on the streets of each of 6 different districts
The results must stand for everyone in Hong Kong: enough people, from different places, picked at random.
Ask enough people, from different places and picked at random, so the results stand for everyone.
14. 120, 96
All 30 friends make 360°. Find one friend's share first: 360 ÷ 30.
Each friend is 360° ÷ 30; 10 for mango make 120°, and 8 for watermelon make 96°.
15. 54 people
First find the “not sure” angle: 360° minus 136° and 8°.
“Not sure” is 360° − 136° − 8° = 216°, which is 216360 × 90 = 54 people.
16. 8 breakfasts
All 72 breakfasts make 360°. Find one breakfast's share first, then how many fit in 40°.
Each breakfast is 360 ÷ 72 = 5°; 40 ÷ 5 = 8.
17. 243°
First find how many walk, 120 − 19 − 20, then what fraction of everyone that is.
120 − 19 − 20 = 81 walk; 81120 × 360° = 243°.
18. 208°
First find how many walk, 90 − 23 − 15, then what fraction of everyone that is.
90 − 23 − 15 = 52 walk; 5290 × 360° = 208°.
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