Free Grade 3 Questionnaires in Context Essentials Lessons
Free Grade 3 lessons for Questionnaires in Context 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify questionnaires in context essentials
Identify questionnaires in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain questionnaires in context essentials
Explain questionnaires in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate questionnaires in context essentials
Calculate questionnaires in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare questionnaires in context essentials
Compare questionnaires in context 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 Questionnaires in Context 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 7, Blue 9, Green 14, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 8, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 7, Blue 5, Green 2, Yellow 2. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 9, Blue 4, Green 10, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 12, Green 8, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 4, Blue 9, Green 14, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 6, Blue 6, Green 11, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 5, Blue 5, Green 6, Yellow 2. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 8, Blue 6, Green 15, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 2, Blue 14, Green 9, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 13, Blue 2, Green 12, Yellow 8. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 14, Blue 6, Green 8, Yellow 3. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 81°
Total = 40. Blue fraction = 9/40. 9/40 × 360° = 81°.
2. 73.8°
Total = 39. Blue fraction = 8/39. 8/39 × 360° = 73.8°.
3. 157.5°
Total = 16. Red fraction = 7/16. 7/16 × 360° = 157.5°.
4. 84°
Total = 30. Yellow fraction = 7/30. 7/30 × 360° = 84°.
5. 116.5°
Total = 34. Yellow fraction = 11/34. 11/34 × 360° = 116.5°.
6. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
7. 65.5°
Total = 33. Blue fraction = 6/33. 6/33 × 360° = 65.5°.
8. 100°
Total = 18. Red fraction = 5/18. 5/18 × 360° = 100°.
9. 70°
Total = 36. Yellow fraction = 7/36. 7/36 × 360° = 70°.
10. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
11. 133.7°
Total = 35. Red fraction = 13/35. 13/35 × 360° = 133.7°.
12. 92.9°
Total = 31. Green fraction = 8/31. 8/31 × 360° = 92.9°.
Worked examples
In a survey: Red 3, Blue 9, Green 7, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 24.
- Yellow fraction = 5/24.
- 5/24 × 360° = 75°.
- Answer: 75°
In a survey: Red 3, Blue 6, Green 2, Yellow 4. In a pie chart, what angle does Red get?
- Total = 15.
- Red fraction = 3/15.
- 3/15 × 360° = 72°.
- Answer: 72°
In a survey: Red 12, Blue 6, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 2/32.
- 2/32 × 360° = 22.5°.
- Answer: 22.5°
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.
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Frequently asked
- Is this Grade 3 Questionnaires in Context 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 Working with 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 Questionnaires in Context Essentials?
- Move on to Questionnaires in Context Techniques, Questionnaires in Context Word Problems, Questionnaires in Context Common Errors, Introducing Questionnaires, which build directly on this idea.
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