Data and probability · Ages 12–13
Combined charts, pie charts and line graphs worksheet
Part of: Organising data & statistical charts
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Combined charts, pie charts and line graphs worksheet
Data and probability · Ages 12–13
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.The combined chart shows a place's mean temperature (bars, left axis, °C) and rainfall (line, right axis, mm) for each month from January to May. What is the rainfall in month 1, in mm?
Answer:
2.A pie chart shows the favourite sports of 72 club members, 12 of whom like swimming best. What is the angle at the centre of the swimming sector, in degrees?
Answer:
3.A pie chart shows the favourite sports of 60 club members, 19 of whom like swimming best. What is the angle at the centre of the swimming sector, in degrees?
Answer:
4.The combined chart shows a place's mean temperature (bars, left axis, °C) and rainfall (line, right axis, mm) for each month from January to May. What is the rainfall in month 4, in mm?
Answer:
5.A pie chart shows the favourite sports of 45 club members, 20 of whom like swimming best. What is the angle at the centre of the swimming sector, in degrees?
Answer:
6.A pie chart shows how a group of people most often travel. The 'bus' sector has an angle of 36° at the centre and stands for 9 people. How many people does the whole chart stand for?
Answer:
7.A pie chart shows how a group of people most often travel. The 'bus' sector has an angle of 345° at the centre and stands for 23 people. How many people does the whole chart stand for?
Answer:
8.A pie chart shows how a group of people most often travel. The 'bus' sector has an angle of 24° at the centre and stands for 3 people. How many people does the whole chart stand for?
Answer:
9.The combined chart shows a place's mean temperature (bars, left axis, °C) and rainfall (line, right axis, mm) for each month from January to May. In the month with the highest mean temperature, what is the rainfall, in mm?
Answer:
10.The line graph shows a small shop's takings each month from January to June (thousands of dollars). From one month to the next, what is the biggest rise, in thousands of dollars?
Answer:
Part B: Choose, or true or false (2 marks each)
11.Ka-lok wants to show how their weight changes month by month over a year. Which statistical chart suits it best?
- A. A pie chart
- B. A line graph
- C. A stem-and-leaf diagram
- D. A compound bar chart
Choose the right answer
Answer:
12.Ming wants to show how their weight changes month by month over a year. Which statistical chart suits it best?
- A. A compound bar chart
- B. A pie chart
- C. A stem-and-leaf diagram
- D. A line graph
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.The line graph shows how much Ming saved each month from January to June ($). From one month to the next, what is the biggest fall, in dollars?
Working:
Answer:
14.The combined chart shows an ice-cream shop's mean temperature (bars, left axis, °C) and cups sold (line, right axis) for each month, January to May. Chi-keung says: 'A month with a higher mean temperature always sells more ice cream.' This holds for all five months in the chart.
True or false?
Working:
Answer:
15.Ka-yan wants to show the family how the monthly spending splits into food, transport, fun and other things, each as a share of the whole. Which statistical chart suits it best?
- A. A stem-and-leaf diagram
- B. A pie chart
- C. A line graph
- D. A back-to-back stem-and-leaf diagram
Choose the right answer
Working:
Answer:
16.Chi-keung asks 60 friends their favourite drink: 7 say juice, 23 milk, and the rest water. Drawn as a pie chart, the juice sector's angle at the centre is ° and the water sector's °.
Fill in each blank
Working:
Answer:
17.The combined chart shows an ice-cream shop's mean temperature (bars, left axis, °C) and cups of ice cream sold (line, right axis) for each month, January to May. In the month it sold the fewest cups, what was the mean temperature, in °C?
Working:
Answer:
18.The line graph shows how much Ka-yan saved each month from January to June ($). From one month to the next, what is the biggest fall, in dollars?
Working:
Answer:
Show the answers and working
Combined charts, pie charts and line graphs worksheet: Answers and working
Part A: Working out and filling in
1. 100 mm
Rainfall is the line's point, read on the right axis: month 1's point is level with 100.
2. 60°
Angle = its count ÷ the total × 360° = 12 ÷ 72 × 360° = 60°.
3. 114°
Angle = its count ÷ the total × 360° = 19 ÷ 60 × 360° = 114°.
4. 0 mm
Rainfall is the line's point, read on the right axis: month 4's point is level with 0.
5. 160°
Angle = its count ÷ the total × 360° = 20 ÷ 45 × 360° = 160°.
6. 90
36° is 36 ÷ 360 of the full 360°, so the total = 9 ÷ (36 ÷ 360) = 90. Or find how many 1° stands for first.
7. 24
345° is 345 ÷ 360 of the full 360°, so the total = 23 ÷ (345 ÷ 360) = 24. Or find how many 1° stands for first.
8. 45
24° is 24 ÷ 360 of the full 360°, so the total = 3 ÷ (24 ÷ 360) = 45. Or find how many 1° stands for first.
9. 100 mm
Find the tallest bar first (25°C on the left axis), then that month's point on the line, read on the right axis: 100 mm.
10. 60 thousand dollars
Take each point from the next: the steepest rising piece is the biggest rise, 60 thousand dollars.
Part B: Choose, or true or false
11. B. A line graph
To see one quantity change over time, rising and falling, a line graph shows it most clearly.
12. D. A line graph
To see one quantity change over time, rising and falling, a line graph shows it most clearly.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 60 dollars
Take each point from the one before: the steepest falling piece is the biggest fall, $60.
14. True
Compare every two months: is the warmer month's point on the line higher too? One pair that isn't, and the statement fails.
15. B. A pie chart
For each part's share of the whole, use a pie chart: each sector's size is its share.
16. 42, 180
Juice: 7 ÷ 60 × 360° = 42°. Water: 60 − 7 − 23 = 30 people, 30 ÷ 60 × 360° = 180°.
17. 30°C
The line's lowest point is the month with the fewest cups (150 on the right axis); that month's bar, read on the left axis, is 30°C.
18. 40 dollars
Take each point from the one before: the steepest falling piece is the biggest fall, $40.
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