Free Grade 3 Working with Questionnaires Common Errors Worksheets
Free Grade 3 worksheets for Working with Questionnaires Common Errors: 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
Foundation
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with questionnaires common errors
Identify working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with questionnaires common errors
Explain working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with questionnaires common errors
Calculate working with questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with questionnaires common errors
Compare working with questionnaires common errors 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 Questionnaires Common Errors 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 12, Blue 6, Green 4, Yellow 13. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 13, Blue 5, Green 14, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 6, Blue 7, Green 2, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 6, Blue 4, Green 12, Yellow 7. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 9, Blue 2, Green 7, Yellow 8. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 13, Blue 13, Green 4, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 3, Blue 11, Green 5, Yellow 10. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 6, Blue 13, Green 8, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 8, Blue 4, Green 10, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 9, Blue 12, Green 3, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 3, Green 6, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 41.1°
Total = 35. Green fraction = 4/35. 4/35 × 360° = 41.1°.
2. 45°
Total = 40. Blue fraction = 5/40. 5/40 × 360° = 45°.
3. 93.9°
Total = 23. Red fraction = 6/23. 6/23 × 360° = 93.9°.
4. 149°
Total = 29. Green fraction = 12/29. 12/29 × 360° = 149°.
5. 96.9°
Total = 26. Green fraction = 7/26. 7/26 × 360° = 96.9°.
6. 51.4°
Total = 35. Yellow fraction = 5/35. 5/35 × 360° = 51.4°.
7. 37.2°
Total = 29. Red fraction = 3/29. 3/29 × 360° = 37.2°.
8. 61.7°
Total = 35. Red fraction = 6/35. 6/35 × 360° = 61.7°.
9. 102.9°
Total = 35. Green fraction = 10/35. 10/35 × 360° = 102.9°.
10. 29.2°
Total = 37. Green fraction = 3/37. 3/37 × 360° = 29.2°.
11. 54°
Total = 20. Blue fraction = 3/20. 3/20 × 360° = 54°.
12. 77.1°
Total = 28. Red fraction = 6/28. 6/28 × 360° = 77.1°.
Worked examples
In a survey: Red 10, Blue 4, Green 2, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 11, Blue 5, Green 15, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 5/41.
- 5/41 × 360° = 43.9°.
- Answer: 43.9°
In a survey: Red 10, Blue 15, Green 13, Yellow 4. In a pie chart, what angle does Red get?
- Total = 42.
- Red fraction = 10/42.
- 10/42 × 360° = 85.7°.
- Answer: 85.7°
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.
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Frequently asked
- Is this Grade 3 Working with Questionnaires Common Errors 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 Questionnaires Word Problems, Working with Questionnaires Techniques, Introducing 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 Working with Questionnaires Common Errors?
- Move on to Introducing Questionnaires, Questionnaires in Context, which build directly on this idea.
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