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Free Grade 3 Working with Pie Charts Flashcards

Free Grade 3 flashcards for Working with Pie Charts: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

Price

Free

Difficulty

Core

Estimated time

30 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with pie charts

    Identify working with pie charts accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with pie charts

    Explain working with pie charts accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with pie charts

    Calculate working with pie charts accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with pie charts

    Compare working with pie charts accurately in a familiar context.

    Assessed by: Exit ticket of four short items

Prerequisites

Close these gaps first — each has its own free lesson, worksheet and quiz.

How Working with Pie Charts works

Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

Key wordsbar chartpie chartfrequencytotalsector

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.In a survey: Red 8, Blue 6, Green 12, Yellow 6. In a pie chart, what angle does Red get?[1]
  2. 2.In a survey: Red 12, Blue 5, Green 10, Yellow 13. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 3, Blue 7, Green 11, Yellow 3. In a pie chart, what angle does Red get?[1]
  4. 4.In a survey: Red 2, Blue 14, Green 12, Yellow 11. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 2, Blue 13, Green 7, Yellow 6. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 8, Blue 6, Green 8, Yellow 11. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 3, Blue 3, Green 12, Yellow 14. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 9, Blue 2, Green 4, Yellow 3. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 10, Blue 13, Green 5, Yellow 8. In a pie chart, what angle does Yellow get?[3]
  10. 10.In a survey: Red 9, Blue 10, Green 4, Yellow 3. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 8, Blue 10, Green 10, Yellow 11. In a pie chart, what angle does Yellow get?[3]
  12. 12.In a survey: Red 14, Blue 3, Green 14, Yellow 13. In a pie chart, what angle does Yellow get?[3]
Show answers and working
  1. 1. 90°

    Total = 32. Red fraction = 8/32. 8/32 × 360° = 90°.

  2. 2. 108°

    Total = 40. Red fraction = 12/40. 12/40 × 360° = 108°.

  3. 3. 45°

    Total = 24. Red fraction = 3/24. 3/24 × 360° = 45°.

  4. 4. 18.5°

    Total = 39. Red fraction = 2/39. 2/39 × 360° = 18.5°.

  5. 5. 90°

    Total = 28. Green fraction = 7/28. 7/28 × 360° = 90°.

  6. 6. 120°

    Total = 33. Yellow fraction = 11/33. 11/33 × 360° = 120°.

  7. 7. 33.8°

    Total = 32. Red fraction = 3/32. 3/32 × 360° = 33.8°.

  8. 8. 40°

    Total = 18. Blue fraction = 2/18. 2/18 × 360° = 40°.

  9. 9. 80°

    Total = 36. Yellow fraction = 8/36. 8/36 × 360° = 80°.

  10. 10. 55.4°

    Total = 26. Green fraction = 4/26. 4/26 × 360° = 55.4°.

  11. 11. 101.5°

    Total = 39. Yellow fraction = 11/39. 11/39 × 360° = 101.5°.

  12. 12. 106.4°

    Total = 44. Yellow fraction = 13/44. 13/44 × 360° = 106.4°.

Worked examples

Easy example

In a survey: Red 11, Blue 9, Green 6, Yellow 13. In a pie chart, what angle does Red get?

  1. Total = 39.
  2. Red fraction = 11/39.
  3. 11/39 × 360° = 101.5°.
  4. Answer: 101.5°
Medium example

In a survey: Red 12, Blue 2, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?

  1. Total = 27.
  2. Yellow fraction = 3/27.
  3. 3/27 × 360° = 40°.
  4. Answer: 40°
Hard example

In a survey: Red 13, Blue 10, Green 10, Yellow 10. In a pie chart, what angle does Green get?

  1. Total = 43.
  2. Green fraction = 10/43.
  3. 10/43 × 360° = 83.7°.
  4. Answer: 83.7°

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Uses 100 instead of 360 for pie-chart angles.

    Correction: A full circle is 360°.

  • Forgets to find the total first.

    Correction: Add all frequencies before working out fractions.

Teacher tips

  • · Have pupils check that all angles add to 360°.

Parent tips

  • · Look at charts in the news and ask what they show.

Real-life applications

  • · News infographics, survey results.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

CAMBRIDGE CAM-844.1 — Mapped statement covering Working with Pie Charts.NATIONAL-CURRICULUM NAT-128.2 — Mapped statement covering Working with Pie Charts.

Every free resource for Working with Pie Charts

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Frequently asked

Is this Grade 3 Working with Pie Charts flashcards really free?
Yes. Every flashcards on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
What should a learner already know before this?
Start with Introducing Pie Charts, Bar Charts. Each one has its own free lesson, worksheet and quiz.
How is the flashcards sequenced?
Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
What comes next after Working with Pie Charts?
Move on to Pie Charts in Context, Bar Charts, Line Graphs, Scatter Graphs, which build directly on this idea.

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