Free Grade 3 Questionnaires Lesson Plans
Free Grade 3 lesson plans for Questionnaires: 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 questionnaires
Identify questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain questionnaires
Explain questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate questionnaires
Calculate questionnaires accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare questionnaires
Compare questionnaires 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 Questionnaires 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 8, Blue 12, Green 11, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 12, Blue 13, Green 5, Yellow 15. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 5, Blue 15, Green 2, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 7, Blue 2, Green 9, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 3, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 11, Blue 9, Green 3, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 5, Blue 2, Green 12, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 9, Blue 8, Green 7, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 12, Blue 13, Green 7, Yellow 2. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 4, Green 3, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 3, Green 5, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 11, Green 14, Yellow 3. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 101.5°
Total = 39. Green fraction = 11/39. 11/39 × 360° = 101.5°.
2. 40°
Total = 45. Green fraction = 5/45. 5/45 × 360° = 40°.
3. 72°
Total = 25. Red fraction = 5/25. 5/25 × 360° = 72°.
4. 78.3°
Total = 23. Yellow fraction = 5/23. 5/23 × 360° = 78.3°.
5. 49.1°
Total = 22. Red fraction = 3/22. 3/22 × 360° = 49.1°.
6. 33.8°
Total = 32. Green fraction = 3/32. 3/32 × 360° = 33.8°.
7. 146.3°
Total = 32. Yellow fraction = 13/32. 13/32 × 360° = 146.3°.
8. 105.9°
Total = 34. Yellow fraction = 10/34. 10/34 × 360° = 105.9°.
9. 127.1°
Total = 34. Red fraction = 12/34. 12/34 × 360° = 127.1°.
10. 55.4°
Total = 26. Blue fraction = 4/26. 4/26 × 360° = 55.4°.
11. 90°
Total = 20. Green fraction = 5/20. 5/20 × 360° = 90°.
12. 127.7°
Total = 31. Blue fraction = 11/31. 11/31 × 360° = 127.7°.
Worked examples
In a survey: Red 10, Blue 8, Green 11, Yellow 14. In a pie chart, what angle does Green get?
- Total = 43.
- Green fraction = 11/43.
- 11/43 × 360° = 92.1°.
- Answer: 92.1°
In a survey: Red 4, Blue 13, Green 12, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 13/38.
- 13/38 × 360° = 123.2°.
- Answer: 123.2°
In a survey: Red 9, Blue 4, Green 10, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 6/29.
- 6/29 × 360° = 74.5°.
- Answer: 74.5°
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 Questionnaires
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Frequently asked
- Is this Grade 3 Questionnaires lesson plan really free?
- Yes. Every lesson plans 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 Sampling, Data Presentation. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Questionnaires?
- Move on to Bias, Averages, Data Presentation, which build directly on this idea.
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