Free Grade 3 Introducing Bias Worksheets
Free Grade 3 worksheets for Introducing Bias: 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°.
Free
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing bias
Identify introducing bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing bias
Explain introducing bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing bias
Calculate introducing bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing bias
Compare introducing bias 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 Introducing Bias works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 4, Blue 8, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 8, Blue 3, Green 8, Yellow 5. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 7, Blue 7, Green 8, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 2, Blue 7, Green 5, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 11, Blue 13, Green 9, Yellow 10. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 3, Blue 2, Green 14, Yellow 12. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 13, Blue 12, Green 11, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 6, Blue 10, Green 7, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 8, Blue 9, Green 7, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 11, Green 5, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 14, Blue 13, Green 5, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 2, Blue 11, Green 5, Yellow 6. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 90°
Total = 32. Blue fraction = 8/32. 8/32 × 360° = 90°.
2. 120°
Total = 24. Green fraction = 8/24. 8/24 × 360° = 120°.
3. 86.9°
Total = 29. Blue fraction = 7/29. 7/29 × 360° = 86.9°.
4. 108°
Total = 20. Yellow fraction = 6/20. 6/20 × 360° = 108°.
5. 75.3°
Total = 43. Green fraction = 9/43. 9/43 × 360° = 75.3°.
6. 162.6°
Total = 31. Green fraction = 14/31. 14/31 × 360° = 162.6°.
7. 84.7°
Total = 51. Blue fraction = 12/51. 12/51 × 360° = 84.7°.
8. 81.3°
Total = 31. Green fraction = 7/31. 7/31 × 360° = 81.3°.
9. 85.3°
Total = 38. Blue fraction = 9/38. 9/38 × 360° = 85.3°.
10. 110°
Total = 36. Blue fraction = 11/36. 11/36 × 360° = 110°.
11. 108.8°
Total = 43. Blue fraction = 13/43. 13/43 × 360° = 108.8°.
12. 90°
Total = 24. Yellow fraction = 6/24. 6/24 × 360° = 90°.
Worked examples
In a survey: Red 14, Blue 4, Green 6, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 27.
- Blue fraction = 4/27.
- 4/27 × 360° = 53.3°.
- Answer: 53.3°
In a survey: Red 14, Blue 15, Green 5, Yellow 3. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 14/37.
- 14/37 × 360° = 136.2°.
- Answer: 136.2°
In a survey: Red 7, Blue 9, Green 14, Yellow 11. In a pie chart, what angle does Red get?
- Total = 41.
- Red fraction = 7/41.
- 7/41 × 360° = 61.5°.
- Answer: 61.5°
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.
Every free resource for Introducing Bias
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Frequently asked
- Is this Grade 3 Introducing Bias 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 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 Introducing Bias?
- Move on to Working with Bias, Bias in Context, Sampling, Questionnaires, which build directly on this idea.
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