Free Grade 3 Questionnaires in Context Essentials Worksheets
Free Grade 3 worksheets 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
25 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 13, Blue 8, Green 11, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 11, Green 2, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 14, Blue 8, Green 7, Yellow 10. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 9, Blue 9, Green 4, Yellow 3. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 15, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 10, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 13, Blue 6, Green 8, Yellow 3. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 3, Blue 8, Green 10, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 12, Blue 13, Green 10, Yellow 12. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 4, Green 15, Yellow 11. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 11, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 13, Blue 12, Green 7, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 113.1°
Total = 35. Green fraction = 11/35. 11/35 × 360° = 113.1°.
2. 154.3°
Total = 28. Yellow fraction = 12/28. 12/28 × 360° = 154.3°.
3. 64.6°
Total = 39. Green fraction = 7/39. 7/39 × 360° = 64.6°.
4. 57.6°
Total = 25. Green fraction = 4/25. 4/25 × 360° = 57.6°.
5. 90°
Total = 52. Yellow fraction = 13/52. 13/52 × 360° = 90°.
6. 29.2°
Total = 37. Yellow fraction = 3/37. 3/37 × 360° = 29.2°.
7. 96°
Total = 30. Green fraction = 8/30. 8/30 × 360° = 96°.
8. 80°
Total = 36. Blue fraction = 8/36. 8/36 × 360° = 80°.
9. 76.6°
Total = 47. Green fraction = 10/47. 10/47 × 360° = 76.6°.
10. 99°
Total = 40. Yellow fraction = 11/40. 11/40 × 360° = 99°.
11. 95.5°
Total = 49. Yellow fraction = 13/49. 13/49 × 360° = 95.5°.
12. 123.2°
Total = 38. Red fraction = 13/38. 13/38 × 360° = 123.2°.
Worked examples
In a survey: Red 11, Blue 10, Green 13, Yellow 5. In a pie chart, what angle does Green get?
- Total = 39.
- Green fraction = 13/39.
- 13/39 × 360° = 120°.
- Answer: 120°
In a survey: Red 15, Blue 12, Green 13, Yellow 5. In a pie chart, what angle does Green get?
- Total = 45.
- Green fraction = 13/45.
- 13/45 × 360° = 104°.
- Answer: 104°
In a survey: Red 11, Blue 10, Green 7, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 10/32.
- 10/32 × 360° = 112.5°.
- Answer: 112.5°
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 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. 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 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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