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Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Pie Charts (Questions)

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In math, a pie chart is a good way to illustrate how a data set is distributed over its different categories. Each category is represented by a 'slice' of the pie and the bigger the 'slice' the more important that category is.

1. Each 'slice' of a pie chart is what part of a circle?
[ ] Sector
[ ] Segment
[ ] Sequence
[ ] Series
2. The size of each 'slice' of pie is measured by its .......
[ ] accuracy
[ ] amplitude
[ ] angle
[ ] arc
3. The total of the pie chart angles should be .......
[ ] 90°
[ ] 180°
[ ] 270°
[ ] 360°
4. In a percentage pie chart, what angle represents 10% of the data?
[ ] 15°
[ ] 30°
[ ] 36°
[ ] 72°
5. What fraction of a pie chart showing the favorite TV soaps of 400 people, represents the 80 people who chose Eastenders?
[ ] 1/8
[ ] 1/5
[ ] 1/4
[ ] 1/2
6. In the TV soaps survey 150 people chose Coronation Street. What pie chart angle represents this group?
[ ] 120°
[ ] 125°
[ ] 130°
[ ] 135°
7. In a pie chart showing the sports played by 1,000 boys, a 45° sector is labeled 'no regular sport'. How many boys does this represent?
[ ] 45
[ ] 125
[ ] 200
[ ] 720
8. What percentage of the boys said they took part in no regular sport?
[ ] 10%
[ ] 1212%
[ ] 25%
[ ] 3313%
9. The sector labeled 'football' is more than half the pie chart so the number of boys who play football is more than .......
[ ] 180
[ ] 360
[ ] 500
[ ] 750
10. Ten boys said they played tennis. To the nearest degree, what pie chart angle represents tennis?
[ ]
[ ]
[ ] 14°
[ ] 15°
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Math: Middle School: Grades 6, 7 and 8 Quiz - Data Handling - Pie Charts (Answers)
1. Each 'slice' of a pie chart is what part of a circle?
[x] Sector
[ ] Segment
[ ] Sequence
[ ] Series
2. The size of each 'slice' of pie is measured by its .......
[ ] accuracy
[ ] amplitude
[x] angle
[ ] arc
3. The total of the pie chart angles should be .......
[ ] 90°
[ ] 180°
[ ] 270°
[x] 360°
4. In a percentage pie chart, what angle represents 10% of the data?
[ ] 15°
[ ] 30°
[x] 36°
[ ] 72°
10% is 1/10. One tenth of the pie chart is 360 / 10 = 36
5. What fraction of a pie chart showing the favorite TV soaps of 400 people, represents the 80 people who chose Eastenders?
[ ] 1/8
[x] 1/5
[ ] 1/4
[ ] 1/2
80 / 400 = 1/5
6. In the TV soaps survey 150 people chose Coronation Street. What pie chart angle represents this group?
[ ] 120°
[ ] 125°
[ ] 130°
[x] 135°
150 / 400 = 3/8. To find 3/8 of 360° divide by 8 then multiply by 3. (360 / 8) x 3 = 45 x 3
7. In a pie chart showing the sports played by 1,000 boys, a 45° sector is labeled 'no regular sport'. How many boys does this represent?
[ ] 45
[x] 125
[ ] 200
[ ] 720
45° is 1/8 of the pie chart so represents 1/8 of the 1,000 boys. 1000 / 8 = 125
8. What percentage of the boys said they took part in no regular sport?
[ ] 10%
[x] 1212%
[ ] 25%
[ ] 3313%
It's helpful to remember some common percentages and their fraction equivalents, e.g. 1/8 = 1212%
9. The sector labeled 'football' is more than half the pie chart so the number of boys who play football is more than .......
[ ] 180
[ ] 360
[x] 500
[ ] 750
Half of 1,000 is 500. You cannot say how much more than 500 unless you know the size of the pie chart angle
10. Ten boys said they played tennis. To the nearest degree, what pie chart angle represents tennis?
[x]
[ ]
[ ] 14°
[ ] 15°
10 is 1% of the total. To find 1% you divide by 100. 360 / 100 = 3.6