Free Grade 3 Working with Questionnaires Essentials Lessons
Free Grade 3 lessons for Working with Questionnaires Essentials: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with questionnaires essentials
Identify working with questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with questionnaires essentials
Explain working with questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with questionnaires essentials
Calculate working with questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with questionnaires essentials
Compare working with questionnaires essentials 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 Essentials 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 14, Blue 8, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 6, Blue 13, Green 11, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 6, Blue 13, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 14, Blue 9, Green 5, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 4, Blue 3, Green 9, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 14, Blue 6, Green 8, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 6, Green 3, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 13, Blue 9, Green 8, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 4, Green 2, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 8, Green 12, Yellow 15. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 12, Blue 5, Green 13, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 7, Blue 5, Green 10, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 87.3°
Total = 33. Blue fraction = 8/33. 8/33 × 360° = 87.3°.
2. 90°
Total = 44. Green fraction = 11/44. 11/44 × 360° = 90°.
3. 77.1°
Total = 42. Yellow fraction = 9/42. 9/42 × 360° = 77.1°.
4. 108°
Total = 40. Yellow fraction = 12/40. 12/40 × 360° = 108°.
5. 55.4°
Total = 26. Red fraction = 4/26. 4/26 × 360° = 55.4°.
6. 63.5°
Total = 34. Yellow fraction = 6/34. 6/34 × 360° = 63.5°.
7. 83.1°
Total = 26. Blue fraction = 6/26. 6/26 × 360° = 83.1°.
8. 92.6°
Total = 35. Blue fraction = 9/35. 9/35 × 360° = 92.6°.
9. 42.4°
Total = 17. Green fraction = 2/17. 2/17 × 360° = 42.4°.
10. 80°
Total = 45. Red fraction = 10/45. 10/45 × 360° = 80°.
11. 68.1°
Total = 37. Yellow fraction = 7/37. 7/37 × 360° = 68.1°.
12. 86.9°
Total = 29. Yellow fraction = 7/29. 7/29 × 360° = 86.9°.
Worked examples
In a survey: Red 7, Blue 10, Green 7, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 27.
- Blue fraction = 10/27.
- 10/27 × 360° = 133.3°.
- Answer: 133.3°
In a survey: Red 11, Blue 14, Green 4, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 14/41.
- 14/41 × 360° = 122.9°.
- Answer: 122.9°
In a survey: Red 2, Blue 4, Green 3, Yellow 11. In a pie chart, what angle does Red get?
- Total = 20.
- Red fraction = 2/20.
- 2/20 × 360° = 36°.
- Answer: 36°
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 Questionnaires Essentials
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Frequently asked
- Is this Grade 3 Working with Questionnaires Essentials 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 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 Questionnaires Essentials?
- Move on to Working with Questionnaires Techniques, Working with Questionnaires Word Problems, Working with Questionnaires Common Errors, Introducing Questionnaires, which build directly on this idea.
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