[discia] GCSE Maths › Statistics › Pie Charts

Pie Charts

discia.org 10 questions · 32 marks
Name Date
  1. Calculator 3 marks
    30 students were asked about their way of travelling to school. The table shows the results.
    TravelFrequency
    Walk2
    Bus8
    Car11
    Cycle9
    A pie chart is drawn to show this information. Find the angle of the sector for Walk.
    Show answer
    \(24\ \text{°}\)
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  2. Calculator 3 marks

    90 students were asked about their favourite way to spend a Saturday. The pie chart shows the results.

    Sport120°Reading40°Gaming200°
    (a)

    Calculate how many students chose Reading.

    (b)

    What fraction of the students chose Sport?

    Give your answer in its simplest form.

    Show answer
    (a) \(10\)
    (b) \(\frac{1}{3}\)
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  3. Calculator 4 marks

    The pie chart shows the colours of the counters in a bag.

    12341Red2Blue3Green4Yellow

    The angle of the Red sector is \(128^\circ\), the angle of the Blue sector is \(48^\circ\) and the angle of the Green sector is \(96^\circ\).

    (a)

    Find the angle of the Yellow sector.

    (b)

    There are \(45\) counters altogether.

    Find the number of counters in the Yellow sector.

    Show answer
    (a) \(88^\circ\)
    (b) \(11\ \text{counters}\)
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  4. Calculator 3 marks

    The pie chart shows the drinks ordered at a cafe one morning.

    1231Coffee2Tea3Juice

    The angle of the Coffee sector is \(144^\circ\).

    (a)

    Work out the fraction of the drinks in the Coffee sector.

    Give your answer in its simplest form.

    (b)

    Work out the percentage of the drinks in the Coffee sector.

    Show answer
    (a) \(\frac{2}{5}\)
    (b) \(40\%\)
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  5. Calculator 3 marks
    72 students were asked about their favourite subject. The table shows the results.
    SubjectFrequency
    Maths18
    English14
    Science12
    Art28
    Draw and label a pie chart to show this information. The marks round the circle are \(10^\circ\) apart.
    Show answer
    Sectors of \(90^\circ\) for Maths, \(70^\circ\) for English, \(60^\circ\) for Science and \(140^\circ\) for Art, in any order round the chart
    MathsEnglishScienceArt
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  6. Calculator 3 marks

    The pie chart shows how the pupils in a school travel to school.

    1231Walk2Bus3Car

    The angle of the Bus sector is \(60^\circ\).

    The angle of the Car sector is \(120^\circ\).

    144 pupils walk to school.

    Work out how many pupils come by car.

    Show answer
    \(96\ \text{pupils}\)
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  7. Calculator 4 marks

    72 children were asked about their favourite fruit.

    - \(\frac{ 5 }{ 18 }\) of the children chose an apple - 14 children chose a banana - \(\frac{ 1 }{ 12 }\) of the children chose a pear - the rest chose an orange

    Draw and label a pie chart to show this information.

    The marks round the circle are \(10^\circ\) apart.

    Show answer
    Sectors of \(100^\circ\) for Apple, \(70^\circ\) for Banana, \(30^\circ\) for Pear and \(160^\circ\) for Orange, in any order round the chart
    AppleBananaPearOrange
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  8. Calculator 2 marks

    In an online vote for player of the season, there were 600 votes.

    Tom received 240 votes.

    Hana draws a pie chart to show the results. This is her method to work out the angle for Tom.

    - 240 ÷ 600 = 0.4 - 0.4 × 180 = 72 - So the angle for Tom is 72°

    Is Hana's method correct? Give a reason for your answer.

    Show answer
    No. The fraction is multiplied by 180, which is half a turn. The fraction has to be multiplied by 360, a full turn. The angle for Tom should be \(\frac{ 240 }{ 600 } \times 360 = 144^\circ\).
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  9. Calculator 3 marks

    The two pie charts show the favourite drink for Café Roma and for Café Blue.

    There are 30 customers in Café Roma.

    TeaCoffeeJuice

    There are 60 customers in Café Blue.

    TeaCoffeeJuice

    The Tea sector is the same size on both pie charts.

    (a)

    Ravi says that more customers chose Tea in Café Roma than in Café Blue.

    Is Ravi right? Give a reason for your answer.

    (b)

    Work out the difference between the number of customers who chose Tea in Café Roma and in Café Blue.

    Show answer
    (a) No — the sectors show the same fraction of each group, and Café Roma has 30 customers against 60 in Café Blue, so fewer of them chose Tea in Café Roma
    (b) \(6\)
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  10. Calculator 4 marks

    In an election there were four candidates. Fran is drawing a pie chart to show the results.

    The sectors for Jay and Kim have been drawn. The marks round the circle are \(10^\circ\) apart.

    Twice as many people voted for Lee as voted for Mo.

    JayKim
    (a)

    Complete the pie chart.

    (b)

    Altogether, \(1116\) people voted for one of the four.

    Work out how many voted for Jay.

    Show answer
    (a) A sector of \(60^\circ\) for Lee and one of \(30^\circ\) for Mo, either way round
    (b) \(217\)
    (a)JayKimLeeMo
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discia.org Pie Charts · sheet 1
Answers Pie Charts · sheet 1
  1. \(24\ \text{°}\)
  2. (a) \(10\)
    (b) \(\frac{1}{3}\)
  3. (a) \(88^\circ\)
    (b) \(11\ \text{counters}\)
  4. (a) \(\frac{2}{5}\)
    (b) \(40\%\)
  5. Sectors of \(90^\circ\) for Maths, \(70^\circ\) for English, \(60^\circ\) for Science and \(140^\circ\) for Art, in any order round the chart
    MathsEnglishScienceArt
  6. \(96\ \text{pupils}\)
  7. Sectors of \(100^\circ\) for Apple, \(70^\circ\) for Banana, \(30^\circ\) for Pear and \(160^\circ\) for Orange, in any order round the chart
    AppleBananaPearOrange
  8. No. The fraction is multiplied by 180, which is half a turn. The fraction has to be multiplied by 360, a full turn. The angle for Tom should be \(\frac{ 240 }{ 600 } \times 360 = 144^\circ\).
  9. (a) No — the sectors show the same fraction of each group, and Café Roma has 30 customers against 60 in Café Blue, so fewer of them chose Tea in Café Roma
    (b) \(6\)
  10. (a) A sector of \(60^\circ\) for Lee and one of \(30^\circ\) for Mo, either way round
    (b) \(217\)
    (a)JayKimLeeMo
discia.org Pie Charts · sheet 1