Grade 7 Circle Graphs worksheet
from Gradelings · Name: ______________________
How to explain it
- A circle graph shows parts of a whole.
- The whole circle is 100% and 360°.
- Find a part's angle by taking that percent of 360°.
Example: A part of a circle graph is 25%. What angle is it? 25% = 0.25. 0.25 × 360° = 90°. Answer: 90°
Question 1
A circle graph shows these survey results. How many of the 220 students chose Swimming?
Favourite sport (220 students) Choice Percent Soccer 20% Hockey 10% Basketball 5% Swimming 65% answer box
143
Hint: 65% of 220 = 0.65 × 220 = 143 students.
Question 2
In a circle graph, all the sectors together add up to…
- The number of categories
- 100%, or 180°
- 50%, or 180°
- 100%, or 360°
100%, or 360°
Hint: The whole circle is the whole data set: 100% of the data and a full 360° turn.
Question 3
The table lists the sectors of a circle graph. What percent is missing?
Favourite fruit Choice Percent Apples 60% Bananas ? Grapes 10% Mangoes 5% answer box%
25 %
Hint: All the sectors add up to 100%. 60 + 10 + 5 = 75, and 100 − 75 = 25%.
Question 4
The shaded sector of this circle graph shows the students who chose Car. What percent is that?
- 5%
- 8%
- 40%
- 60%
40%
Hint: The circle is cut into 20 equal parts and 8 are shaded: 8/20 = 0.4 = 40%.
Question 5
In a circle graph, how many degrees is the sector for a category that is 60% of the data?
answer box°
216 °
Hint: A full circle is 360°. 60% of 360° = 0.6 × 360 = 216°.
Question 6
400 students answered this survey. How many more chose Bike than Car?
How students get to school Choice Percent Walk 15% Bus 50% Car 10% Bike 25% answer box
60
Hint: Bike: 25% of 400 = 100. Car: 10% of 400 = 40. Difference: 60. (Or 15% of 400.)
Question 7
In a circle graph, the "Grapes" sector has an angle of 36°. What percent of the data does that sector show?
- 20%
- 36%
- 10%
- 90%
10%
Hint: Divide by the full turn: 36 ÷ 360 = 0.1 = 10%.
Question 8
In a circle graph of survey results, the Bus sector is 25% and stands for 48 students. How many students were surveyed in all?
answer box
192
Hint: 25% of the total is 48, so the total is 48 ÷ 0.25 = 192. Check: 25% of 192 = 48.
Question 9
In a circle graph, how many degrees is the sector for a category that is 20% of the data?
answer box°
72 °
Hint: A full circle is 360°. 20% of 360° = 0.2 × 360 = 72°.
Question 10
100 students answered this survey. How many more chose Fall than Winter?
Favourite season Choice Percent Spring 40% Summer 10% Fall 30% Winter 20% answer box
10
Hint: Fall: 30% of 100 = 30. Winter: 20% of 100 = 20. Difference: 10. (Or 10% of 100.)
Answer key
- 1. 143
- 2. 100%, or 360°
- 3. 25 %
- 4. 40%
- 5. 216 °
- 6. 60
- 7. 10%
- 8. 192
- 9. 72 °
- 10. 10
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