Free Grade 3 Working with Bias Lessons
Free Grade 3 lessons for Working with 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with bias
Identify working with bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with bias
Explain working with bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with bias
Calculate working with bias accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with bias
Compare working with 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 Working with 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 7, Blue 15, Green 14, Yellow 15. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 10, Blue 12, Green 10, Yellow 4. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 15, Green 11, Yellow 13. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 5, Green 6, Yellow 3. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 13, Blue 6, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 6, Blue 6, Green 8, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 13, Green 7, Yellow 5. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 13, Green 12, Yellow 15. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 13, Blue 10, Green 6, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 13, Blue 6, Green 8, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 3, Blue 6, Green 12, Yellow 7. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 15, Green 9, Yellow 11. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 49.4°
Total = 51. Red fraction = 7/51. 7/51 × 360° = 49.4°.
2. 100°
Total = 36. Green fraction = 10/36. 10/36 × 360° = 100°.
3. 76.2°
Total = 52. Green fraction = 11/52. 11/52 × 360° = 76.2°.
4. 74.5°
Total = 29. Green fraction = 6/29. 6/29 × 360° = 74.5°.
5. 58.4°
Total = 37. Blue fraction = 6/37. 6/37 × 360° = 58.4°.
6. 86.4°
Total = 25. Blue fraction = 6/25. 6/25 × 360° = 86.4°.
7. 90°
Total = 28. Green fraction = 7/28. 7/28 × 360° = 90°.
8. 102.9°
Total = 42. Green fraction = 12/42. 12/42 × 360° = 102.9°.
9. 105.4°
Total = 41. Yellow fraction = 12/41. 12/41 × 360° = 105.4°.
10. 63.5°
Total = 34. Blue fraction = 6/34. 6/34 × 360° = 63.5°.
11. 154.3°
Total = 28. Green fraction = 12/28. 12/28 × 360° = 154.3°.
12. 102.9°
Total = 49. Red fraction = 14/49. 14/49 × 360° = 102.9°.
Worked examples
In a survey: Red 15, Blue 4, Green 6, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 29.
- Blue fraction = 4/29.
- 4/29 × 360° = 49.7°.
- Answer: 49.7°
In a survey: Red 11, Blue 2, Green 12, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 37.
- Blue fraction = 2/37.
- 2/37 × 360° = 19.5°.
- Answer: 19.5°
In a survey: Red 13, Blue 10, Green 5, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 7/35.
- 7/35 × 360° = 72°.
- Answer: 72°
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 Working with Bias
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Frequently asked
- Is this Grade 3 Working with Bias 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 Bias, Questionnaires. 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 Bias?
- Move on to Bias in Context, Sampling, Questionnaires, which build directly on this idea.
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