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Free Grade 3 Working with Scatter Graphs Lessons

Free Grade 3 lessons for Working with Scatter Graphs: 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

Higher

Estimated time

35 min

Total marks

24

Learning objectives

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

  • RememberIdentify working with scatter graphs

    Identify working with scatter graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with scatter graphs

    Explain working with scatter graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with scatter graphs

    Calculate working with scatter graphs accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with scatter graphs

    Compare working with scatter graphs 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 Scatter Graphs 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 3, Blue 15, Green 10, Yellow 2. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 4, Blue 8, Green 6, Yellow 13. In a pie chart, what angle does Yellow get?[1]
  3. 3.In a survey: Red 8, Blue 13, Green 5, Yellow 14. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 9, Blue 9, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[1]
  5. 5.In a survey: Red 11, Blue 4, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[2]
  6. 6.In a survey: Red 3, Blue 8, Green 8, Yellow 15. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 2, Blue 15, Green 15, Yellow 2. In a pie chart, what angle does Red get?[2]
  8. 8.In a survey: Red 2, Blue 2, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 9, Blue 9, Green 10, Yellow 15. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 10, Blue 15, Green 7, Yellow 9. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 11, Blue 14, Green 10, Yellow 4. In a pie chart, what angle does Red get?[3]
  12. 12.In a survey: Red 14, Blue 6, Green 10, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 120°

    Total = 30. Green fraction = 10/30. 10/30 × 360° = 120°.

  2. 2. 151°

    Total = 31. Yellow fraction = 13/31. 13/31 × 360° = 151°.

  3. 3. 126°

    Total = 40. Yellow fraction = 14/40. 14/40 × 360° = 126°.

  4. 4. 108°

    Total = 30. Yellow fraction = 9/30. 9/30 × 360° = 108°.

  5. 5. 65.5°

    Total = 22. Blue fraction = 4/22. 4/22 × 360° = 65.5°.

  6. 6. 158.8°

    Total = 34. Yellow fraction = 15/34. 15/34 × 360° = 158.8°.

  7. 7. 21.2°

    Total = 34. Red fraction = 2/34. 2/34 × 360° = 21.2°.

  8. 8. 180°

    Total = 24. Yellow fraction = 12/24. 12/24 × 360° = 180°.

  9. 9. 75.3°

    Total = 43. Red fraction = 9/43. 9/43 × 360° = 75.3°.

  10. 10. 87.8°

    Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.

  11. 11. 101.5°

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

  12. 12. 102.9°

    Total = 35. Green fraction = 10/35. 10/35 × 360° = 102.9°.

Worked examples

Easy example

In a survey: Red 4, Blue 6, Green 7, Yellow 6. In a pie chart, what angle does Blue get?

  1. Total = 23.
  2. Blue fraction = 6/23.
  3. 6/23 × 360° = 93.9°.
  4. Answer: 93.9°
Medium example

In a survey: Red 12, Blue 8, Green 4, Yellow 2. In a pie chart, what angle does Green get?

  1. Total = 26.
  2. Green fraction = 4/26.
  3. 4/26 × 360° = 55.4°.
  4. Answer: 55.4°
Hard example

In a survey: Red 6, Blue 12, Green 11, Yellow 6. In a pie chart, what angle does Green get?

  1. Total = 35.
  2. Green fraction = 11/35.
  3. 11/35 × 360° = 113.1°.
  4. Answer: 113.1°

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.

IB IB-137.1 — Mapped statement covering Working with Scatter Graphs.EDEXCEL EDE-626.2 — Mapped statement covering Working with Scatter Graphs.

Every free resource for Working with Scatter Graphs

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Frequently asked

Is this Grade 3 Working with Scatter Graphs lesson really free?
Yes. Every lessons 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 Scatter Graphs, Line Graphs. Each one has its own free lesson, worksheet and quiz.
How is the lesson 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 Scatter Graphs?
Move on to Scatter Graphs in Context, Bar Charts, Pie Charts, Line Graphs, which build directly on this idea.

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