[discia] GCSE Maths › Statistics › Pictograms

Pictograms

discia.org 10 questions · 35 marks
Name Date
  1. Either paper 3 marks

    The pictogram shows how many books some children collected.

    MondayTuesdayWednesdayThursdayrepresents 2 books
    (a)

    How many books were collected on Tuesday?

    (b)

    Which had the most books?

    (c)

    Calculate the total number of books collected.

    Show answer
    (a) \(4\)
    (b) Thursday
    (c) \(31\)
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  2. Either paper 2 marks

    The pictogram shows how many apples a fruit shop sold on three days.

    MondayTuesdayWednesdayrepresents 4 apples
    (a)

    On Thursday, 19 apples were sold.

    How many whole symbols would be drawn in the Thursday row?

    (b)

    What else would be drawn in that row?

    Show answer
    (a) \(4\)
    (b) three quarters of a symbol
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  3. Either paper 4 marks

    The pictogram shows how many parcels a courier delivered on four days.

    MondayTuesdayWednesdayThursdayrepresents 12 parcels
    (a)

    State the number of parcels that half a symbol stands for.

    (b)

    Find the total number of parcels.

    (c)

    Work out how many more parcels are shown for Monday than for Tuesday.

    Show answer
    (a) \(6\ \text{parcels}\)
    (b) \(195\ \text{parcels}\)
    (c) \(18\ \text{parcels}\)
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  4. Either paper 4 marks
    The table shows the number of books Owen has in each of four groups.
    ShelfNumber of books
    Crime40
    Travel30
    Cookery65
    Sport35
    (a)

    Which group is the mode?

    (b)

    Owen wants a pictogram to show the information, and has drawn the first two rows.

    CrimeTravelCookerySportrepresentsbooks

    Complete the pictogram. Remember to complete the key.

    Show answer
    (a) Cookery
    (b) Key: one symbol represents \(10\) books. Cookery: \(6.5\) symbols; Sport: \(3.5\) symbols
    (b)CrimeTravelCookerySportrepresents 10 books
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  5. Either paper 4 marks

    The pictogram shows information about the number of plain flapjacks, raisin flapjacks and cherry flapjacks sold by Year 7 at a school fair.

    PlainRaisinCherryApplerepresents 6 flapjacks
    (a)

    Year 7 sold \(21\) apple flapjacks.

    Use this information to complete the pictogram.

    (b)

    At the fair, Year 8 sold a total of \(71\) flapjacks.

    Which year sold more flapjacks at the fair, Year 7 or Year 8?

    You must show how you get your answer.

    Show answer
    (a) Apple: \(3.5\) symbols
    (b) Year 7: Year 7 sold \(51 + 21 = 72\) flapjacks and Year 8 sold \(71\)
    (a)PlainRaisinCherryApplerepresents 6 flapjacks
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  6. Either paper 5 marks

    A library recorded how many visitors came on four days.

    The pictogram shows the results, but the key has been left off.

    ThursdayFridaySaturdaySunday

    The row for Thursday stands for \(80\) visitors.

    (a)

    Calculate how many visitors one symbol stands for.

    (b)

    Find the number of visitors for Saturday.

    (c)

    Find the total number of visitors over the four rows.

    Show answer
    (a) \(20\ \text{visitors}\)
    (b) \(120\ \text{visitors}\)
    (c) \(360\ \text{visitors}\)
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  7. Either paper 4 marks

    Four scouts sold raffle tickets at a fair.

    The pictogram shows the results for the first three only.

    RaviSofiaJackrepresents 4 tickets

    Altogether there were \(47\) tickets.

    (a)

    Work out the number of tickets shown on the pictogram.

    (b)

    Work out the number of tickets for Mina.

    (c)

    Work out how many symbols the row for Mina would have.

    Show answer
    (a) \(39\ \text{tickets}\)
    (b) \(8\ \text{tickets}\)
    (c) \(2\)
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  8. Either paper 3 marks

    Misha recorded the main type of weather each day. The total is \(275\) days.

    The pictogram shows the results for Rain, Snow and Cloud. The rows for Sun and Fog are missing.

    RainSnowCloudSunFogrepresents 10 days

    The number for Sun was \(30\) more than the number for Fog.

    Work out the two missing numbers and complete the pictogram.

    Show answer
    Sun: \(7.5\) symbols; Fog: \(4.5\) symbols
    RainSnowCloudSunFogrepresents 10 days
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  9. Either paper 2 marks
    Ben asked 36 pupils to choose their favourite fruit. The table shows the results.
    FruitNumber of pupils
    Apple7
    Banana8
    Grapes10
    Orange11
    Ben drew this pictogram to show the results. AppleBananaGrapesrepresents 2 pupils Ben has made two mistakes. What are they? Mistake 1 Mistake 2
    Show answer
    Mistake 1: the Apple row has 3 symbols and should have 3.5 (half a symbol too few). Mistake 2: one row has no label (or: the pictogram has no title).
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  10. Either paper 4 marks

    Groups A and B of learner drivers took driving tests. The pictogram shows the number of people in group A who passed after one, two and three tests.

    Group A

    One testTwo testsThree testsrepresents 6 people
    (a) The table gives the number of people in each row for group B.
    Tests takenGroup B
    One test3 fewer than the number in group A
    Two testshalf the number in group A
    Three testsdouble the number in group A
    Complete the pictogram for group B. Group B One testTwo testsThree testsrepresents 6 people
    (b)

    Calculate the total number of people in group B.

    Show answer
    (a) One test: \(0.5\) symbol; Two tests: \(2.5\) symbols; Three tests: \(5\) symbols
    (b) \(48\)
    (a)One testTwo testsThree testsrepresents 6 people
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discia.org Pictograms · sheet 1
Answers Pictograms · sheet 1
  1. (a) \(4\)
    (b) Thursday
    (c) \(31\)
  2. (a) \(4\)
    (b) three quarters of a symbol
  3. (a) \(6\ \text{parcels}\)
    (b) \(195\ \text{parcels}\)
    (c) \(18\ \text{parcels}\)
  4. (a) Cookery
    (b) Key: one symbol represents \(10\) books. Cookery: \(6.5\) symbols; Sport: \(3.5\) symbols
    (b)CrimeTravelCookerySportrepresents 10 books
  5. (a) Apple: \(3.5\) symbols
    (b) Year 7: Year 7 sold \(51 + 21 = 72\) flapjacks and Year 8 sold \(71\)
    (a)PlainRaisinCherryApplerepresents 6 flapjacks
  6. (a) \(20\ \text{visitors}\)
    (b) \(120\ \text{visitors}\)
    (c) \(360\ \text{visitors}\)
  7. (a) \(39\ \text{tickets}\)
    (b) \(8\ \text{tickets}\)
    (c) \(2\)
  8. Sun: \(7.5\) symbols; Fog: \(4.5\) symbols
    RainSnowCloudSunFogrepresents 10 days
  9. Mistake 1: the Apple row has 3 symbols and should have 3.5 (half a symbol too few). Mistake 2: one row has no label (or: the pictogram has no title).
  10. (a) One test: \(0.5\) symbol; Two tests: \(2.5\) symbols; Three tests: \(5\) symbols
    (b) \(48\)
    (a)One testTwo testsThree testsrepresents 6 people
discia.org Pictograms · sheet 1