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Free Grade 3 Scatter Graphs in Context Lessons

Free Grade 3 lessons for Scatter Graphs in Context: 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

Stretch

Estimated time

15 min

Total marks

24

Learning objectives

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

  • UnderstandExplain scatter graphs in context

    Explain scatter graphs in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate scatter graphs in context

    Calculate scatter graphs in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare scatter graphs in context

    Compare scatter graphs in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify scatter graphs in context

    Justify scatter graphs in context 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 Scatter Graphs in Context 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 13, Blue 12, Green 13, Yellow 11. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 15, Blue 10, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 7, Blue 5, Green 15, Yellow 3. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 11, Blue 9, Green 4, Yellow 7. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 11, Blue 12, Green 3, Yellow 6. In a pie chart, what angle does Red get?[2]
  6. 6.In a survey: Red 3, Blue 6, Green 2, Yellow 8. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 2, Blue 12, Green 7, Yellow 10. In a pie chart, what angle does Yellow get?[2]
  8. 8.In a survey: Red 5, Blue 10, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[2]
  9. 9.In a survey: Red 6, Blue 3, Green 14, Yellow 10. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 6, Blue 12, Green 9, Yellow 9. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 10, Blue 9, Green 14, Yellow 3. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 13, Blue 5, Green 15, Yellow 15. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 95.5°

    Total = 49. Green fraction = 13/49. 13/49 × 360° = 95.5°.

  2. 2. 76.6°

    Total = 47. Blue fraction = 10/47. 10/47 × 360° = 76.6°.

  3. 3. 36°

    Total = 30. Yellow fraction = 3/30. 3/30 × 360° = 36°.

  4. 4. 46.5°

    Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.

  5. 5. 123.8°

    Total = 32. Red fraction = 11/32. 11/32 × 360° = 123.8°.

  6. 6. 37.9°

    Total = 19. Green fraction = 2/19. 2/19 × 360° = 37.9°.

  7. 7. 116.1°

    Total = 31. Yellow fraction = 10/31. 10/31 × 360° = 116.1°.

  8. 8. 83.7°

    Total = 43. Blue fraction = 10/43. 10/43 × 360° = 83.7°.

  9. 9. 65.5°

    Total = 33. Red fraction = 6/33. 6/33 × 360° = 65.5°.

  10. 10. 90°

    Total = 36. Green fraction = 9/36. 9/36 × 360° = 90°.

  11. 11. 90°

    Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.

  12. 12. 37.5°

    Total = 48. Blue fraction = 5/48. 5/48 × 360° = 37.5°.

Worked examples

Easy example

In a survey: Red 5, Blue 8, Green 14, Yellow 15. In a pie chart, what angle does Green get?

  1. Total = 42.
  2. Green fraction = 14/42.
  3. 14/42 × 360° = 120°.
  4. Answer: 120°
Medium example

In a survey: Red 2, Blue 14, Green 2, Yellow 14. In a pie chart, what angle does Green get?

  1. Total = 32.
  2. Green fraction = 2/32.
  3. 2/32 × 360° = 22.5°.
  4. Answer: 22.5°
Hard example

In a survey: Red 14, Blue 6, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?

  1. Total = 46.
  2. Yellow fraction = 13/46.
  3. 13/46 × 360° = 101.7°.
  4. Answer: 101.7°

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.

NATIONAL-CURRICULUM NAT-215.1 — Mapped statement covering Scatter Graphs in Context.IB IB-470.2 — Mapped statement covering Scatter Graphs in Context.

Every free resource for Scatter Graphs in Context

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Frequently asked

Is this Grade 3 Scatter Graphs in Context 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 Working with Scatter Graphs, 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 Scatter Graphs in Context?
Move on to Bar Charts, Pie Charts, Line Graphs, Histograms, which build directly on this idea.

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