Free Grade 3 Questionnaires in Context Techniques Worksheets
Free Grade 3 worksheets for Questionnaires in Context 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 questionnaires in context techniques
Identify questionnaires in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain questionnaires in context techniques
Explain questionnaires in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate questionnaires in context techniques
Calculate questionnaires in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare questionnaires in context techniques
Compare questionnaires in context 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 Questionnaires in Context 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 3, Blue 6, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 11, Blue 3, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 12, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 6, Blue 10, Green 8, Yellow 11. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 14, Blue 4, Green 12, Yellow 6. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 5, Blue 9, Green 13, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 7, Green 7, Yellow 15. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 2, Blue 11, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 3, Blue 15, Green 13, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 8, Green 5, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 2, Blue 14, Green 15, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 2, Blue 3, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 65.5°
Total = 33. Blue fraction = 6/33. 6/33 × 360° = 65.5°.
2. 108°
Total = 40. Yellow fraction = 12/40. 12/40 × 360° = 108°.
3. 64.6°
Total = 39. Yellow fraction = 7/39. 7/39 × 360° = 64.6°.
4. 61.7°
Total = 35. Red fraction = 6/35. 6/35 × 360° = 61.7°.
5. 120°
Total = 36. Green fraction = 12/36. 12/36 × 360° = 120°.
6. 110.8°
Total = 39. Yellow fraction = 12/39. 12/39 × 360° = 110.8°.
7. 52.9°
Total = 34. Red fraction = 5/34. 5/34 × 360° = 52.9°.
8. 162.6°
Total = 31. Yellow fraction = 14/31. 14/31 × 360° = 162.6°.
9. 122.7°
Total = 44. Blue fraction = 15/44. 15/44 × 360° = 122.7°.
10. 62.1°
Total = 29. Green fraction = 5/29. 5/29 × 360° = 62.1°.
11. 144°
Total = 35. Blue fraction = 14/35. 14/35 × 360° = 144°.
12. 106.7°
Total = 27. Yellow fraction = 8/27. 8/27 × 360° = 106.7°.
Worked examples
In a survey: Red 12, Blue 11, Green 15, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 44.
- Blue fraction = 11/44.
- 11/44 × 360° = 90°.
- Answer: 90°
In a survey: Red 7, Blue 13, Green 8, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 43.
- Yellow fraction = 15/43.
- 15/43 × 360° = 125.6°.
- Answer: 125.6°
In a survey: Red 7, Blue 9, Green 8, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 6/30.
- 6/30 × 360° = 72°.
- Answer: 72°
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 Techniques 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 Questionnaires in Context Essentials, 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 Techniques?
- Move on to Questionnaires in Context Word Problems, Questionnaires in Context Common Errors, Introducing Questionnaires, Working with Questionnaires, which build directly on this idea.
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