Free Grade 3 Working with Questionnaires Techniques Lesson Plans
Free Grade 3 lesson plans for Working with Questionnaires Techniques: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with questionnaires techniques
Identify working with questionnaires techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with questionnaires techniques
Explain working with questionnaires techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with questionnaires techniques
Calculate working with questionnaires techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with questionnaires techniques
Compare working with questionnaires techniques 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 Techniques 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 2, Green 6, Yellow 10. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 7, Blue 11, Green 5, Yellow 2. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 3, Blue 9, Green 8, Yellow 3. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 14, Blue 7, Green 9, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 6, Green 3, Yellow 5. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 3, Blue 3, Green 11, Yellow 12. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 2, Blue 11, Green 14, Yellow 6. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 8, Blue 14, Green 11, Yellow 13. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 2, Blue 6, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 7, Blue 5, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 14, Green 5, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 15, Blue 12, Green 10, Yellow 4. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 67.5°
Total = 32. Green fraction = 6/32. 6/32 × 360° = 67.5°.
2. 72°
Total = 25. Green fraction = 5/25. 5/25 × 360° = 72°.
3. 125.2°
Total = 23. Green fraction = 8/23. 8/23 × 360° = 125.2°.
4. 66.3°
Total = 38. Blue fraction = 7/38. 7/38 × 360° = 66.3°.
5. 67.5°
Total = 16. Green fraction = 3/16. 3/16 × 360° = 67.5°.
6. 136.6°
Total = 29. Green fraction = 11/29. 11/29 × 360° = 136.6°.
7. 152.7°
Total = 33. Green fraction = 14/33. 14/33 × 360° = 152.7°.
8. 86.1°
Total = 46. Green fraction = 11/46. 11/46 × 360° = 86.1°.
9. 93.3°
Total = 27. Yellow fraction = 7/27. 7/27 × 360° = 93.3°.
10. 105.9°
Total = 17. Blue fraction = 5/17. 5/17 × 360° = 105.9°.
11. 144°
Total = 35. Blue fraction = 14/35. 14/35 × 360° = 144°.
12. 87.8°
Total = 41. Green fraction = 10/41. 10/41 × 360° = 87.8°.
Worked examples
In a survey: Red 11, Blue 12, Green 3, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 3/29.
- 3/29 × 360° = 37.2°.
- Answer: 37.2°
In a survey: Red 9, Blue 12, Green 7, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 12/33.
- 12/33 × 360° = 130.9°.
- Answer: 130.9°
In a survey: Red 11, Blue 9, Green 5, Yellow 6. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 5/31.
- 5/31 × 360° = 58.1°.
- Answer: 58.1°
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 Techniques 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 Working with Questionnaires Essentials, Introducing Questionnaires. 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 Working with Questionnaires Techniques?
- Move on to Working with Questionnaires Word Problems, Working with Questionnaires Common Errors, Introducing Questionnaires, Questionnaires in Context, which build directly on this idea.
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