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Free Grade 3 Bias in Context Worksheets

Free Grade 3 worksheets for Bias 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

Core

Estimated time

30 min

Total marks

24

Learning objectives

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

  • UnderstandExplain bias in context

    Explain bias in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate bias in context

    Calculate bias in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare bias in context

    Compare bias in context accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • EvaluateJustify bias in context

    Justify bias 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 Bias 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 12, Blue 14, Green 4, Yellow 2. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 6, Blue 6, Green 2, Yellow 15. In a pie chart, what angle does Red get?[1]
  3. 3.In a survey: Red 13, Blue 2, Green 8, Yellow 7. In a pie chart, what angle does Red get?[1]
  4. 4.In a survey: Red 6, Blue 12, Green 13, Yellow 8. In a pie chart, what angle does Red get?[1]
  5. 5.In a survey: Red 8, Blue 13, Green 5, Yellow 10. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 10, Blue 14, Green 14, Yellow 11. In a pie chart, what angle does Green get?[2]
  7. 7.In a survey: Red 3, Blue 14, Green 8, Yellow 2. In a pie chart, what angle does Green get?[2]
  8. 8.In a survey: Red 8, Blue 6, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 2, Blue 13, Green 15, Yellow 2. In a pie chart, what angle does Red get?[3]
  10. 10.In a survey: Red 7, Blue 9, Green 5, Yellow 9. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 9, Blue 8, Green 7, Yellow 15. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 15, Blue 10, Green 11, Yellow 14. In a pie chart, what angle does Blue get?[3]
Show answers and working
  1. 1. 45°

    Total = 32. Green fraction = 4/32. 4/32 × 360° = 45°.

  2. 2. 74.5°

    Total = 29. Red fraction = 6/29. 6/29 × 360° = 74.5°.

  3. 3. 156°

    Total = 30. Red fraction = 13/30. 13/30 × 360° = 156°.

  4. 4. 55.4°

    Total = 39. Red fraction = 6/39. 6/39 × 360° = 55.4°.

  5. 5. 50°

    Total = 36. Green fraction = 5/36. 5/36 × 360° = 50°.

  6. 6. 102.9°

    Total = 49. Green fraction = 14/49. 14/49 × 360° = 102.9°.

  7. 7. 106.7°

    Total = 27. Green fraction = 8/27. 8/27 × 360° = 106.7°.

  8. 8. 99.3°

    Total = 29. Yellow fraction = 8/29. 8/29 × 360° = 99.3°.

  9. 9. 22.5°

    Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.

  10. 10. 84°

    Total = 30. Red fraction = 7/30. 7/30 × 360° = 84°.

  11. 11. 73.8°

    Total = 39. Blue fraction = 8/39. 8/39 × 360° = 73.8°.

  12. 12. 72°

    Total = 50. Blue fraction = 10/50. 10/50 × 360° = 72°.

Worked examples

Easy example

In a survey: Red 3, Blue 14, Green 4, Yellow 3. In a pie chart, what angle does Green get?

  1. Total = 24.
  2. Green fraction = 4/24.
  3. 4/24 × 360° = 60°.
  4. Answer: 60°
Medium example

In a survey: Red 7, Blue 5, Green 2, Yellow 6. In a pie chart, what angle does Red get?

  1. Total = 20.
  2. Red fraction = 7/20.
  3. 7/20 × 360° = 126°.
  4. Answer: 126°
Hard example

In a survey: Red 11, Blue 9, Green 4, Yellow 15. In a pie chart, what angle does Green get?

  1. Total = 39.
  2. Green fraction = 4/39.
  3. 4/39 × 360° = 36.9°.
  4. Answer: 36.9°

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.

COLLEGE-BOARD COL-977.1 — Mapped statement covering Bias in Context.AQA AQA-592.2 — Mapped statement covering Bias in Context.

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Frequently asked

Is this Grade 3 Bias in Context worksheet really free?
Yes. Every worksheets 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 Bias, Introducing Bias, Questionnaires. Each one has its own free lesson, worksheet and quiz.
How is the worksheet 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 Bias in Context?
Move on to Sampling, Questionnaires, which build directly on this idea.

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