Free Grade 3 Working with Bias Quizzes
Free Grade 3 quizzes 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
Core
15 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 11, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 7, Blue 15, Green 12, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 2, Blue 6, Green 4, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 3, Green 3, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 4, Green 11, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 5, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 2, Blue 11, Green 11, Yellow 6. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 10, Blue 5, Green 15, Yellow 11. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 8, Blue 8, Green 5, Yellow 2. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 14, Green 14, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 3, Green 5, Yellow 3. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 7, Blue 6, Green 6, Yellow 8. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 90°
Total = 32. Yellow fraction = 8/32. 8/32 × 360° = 90°.
2. 68.6°
Total = 42. Yellow fraction = 8/42. 8/42 × 360° = 68.6°.
3. 86.4°
Total = 25. Blue fraction = 6/25. 6/25 × 360° = 86.4°.
4. 36°
Total = 30. Blue fraction = 3/30. 3/30 × 360° = 36°.
5. 78.8°
Total = 32. Red fraction = 7/32. 7/32 × 360° = 78.8°.
6. 48.6°
Total = 37. Blue fraction = 5/37. 5/37 × 360° = 48.6°.
7. 24°
Total = 30. Red fraction = 2/30. 2/30 × 360° = 24°.
8. 87.8°
Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.
9. 78.3°
Total = 23. Green fraction = 5/23. 5/23 × 360° = 78.3°.
10. 132.6°
Total = 38. Green fraction = 14/38. 14/38 × 360° = 132.6°.
11. 128.6°
Total = 14. Green fraction = 5/14. 5/14 × 360° = 128.6°.
12. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
Worked examples
In a survey: Red 12, Blue 12, Green 10, Yellow 10. In a pie chart, what angle does Green get?
- Total = 44.
- Green fraction = 10/44.
- 10/44 × 360° = 81.8°.
- Answer: 81.8°
In a survey: Red 4, Blue 5, Green 4, Yellow 2. In a pie chart, what angle does Red get?
- Total = 15.
- Red fraction = 4/15.
- 4/15 × 360° = 96°.
- Answer: 96°
In a survey: Red 14, Blue 5, Green 4, Yellow 8. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 4/31.
- 4/31 × 360° = 46.5°.
- Answer: 46.5°
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 Working with Bias
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Frequently asked
- Is this Grade 3 Working with Bias quiz really free?
- Yes. Every quizzes 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 quiz 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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