Free Grade 3 Introducing Questionnaires Essentials Worksheets
Free Grade 3 worksheets for Introducing Questionnaires 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing questionnaires essentials
Identify introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing questionnaires essentials
Explain introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing questionnaires essentials
Calculate introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing questionnaires essentials
Compare introducing questionnaires 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 Introducing Questionnaires 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 9, Green 14, Yellow 6. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 5, Blue 6, Green 6, Yellow 12. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 3, Green 4, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 6, Blue 3, Green 12, Yellow 15. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 10, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 13, Blue 2, Green 15, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 9, Green 7, Yellow 3. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 7, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 15, Blue 14, Green 11, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 2, Blue 14, Green 11, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 12, Blue 12, Green 12, Yellow 12. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 10, Blue 3, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 111.4°
Total = 42. Red fraction = 13/42. 13/42 × 360° = 111.4°.
2. 74.5°
Total = 29. Green fraction = 6/29. 6/29 × 360° = 74.5°.
3. 102.9°
Total = 28. Yellow fraction = 8/28. 8/28 × 360° = 102.9°.
4. 120°
Total = 36. Green fraction = 12/36. 12/36 × 360° = 120°.
5. 90°
Total = 40. Blue fraction = 10/40. 10/40 × 360° = 90°.
6. 18.9°
Total = 38. Blue fraction = 2/38. 2/38 × 360° = 18.9°.
7. 106.7°
Total = 27. Red fraction = 8/27. 8/27 × 360° = 106.7°.
8. 85.3°
Total = 38. Yellow fraction = 9/38. 9/38 × 360° = 85.3°.
9. 120°
Total = 42. Blue fraction = 14/42. 14/42 × 360° = 120°.
10. 82.3°
Total = 35. Yellow fraction = 8/35. 8/35 × 360° = 82.3°.
11. 90°
Total = 48. Red fraction = 12/48. 12/48 × 360° = 90°.
12. 100°
Total = 36. Yellow fraction = 10/36. 10/36 × 360° = 100°.
Worked examples
In a survey: Red 10, Blue 10, Green 9, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 3/32.
- 3/32 × 360° = 33.8°.
- Answer: 33.8°
In a survey: Red 6, Blue 11, Green 4, Yellow 10. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 6/31.
- 6/31 × 360° = 69.7°.
- Answer: 69.7°
In a survey: Red 14, Blue 15, Green 14, Yellow 4. In a pie chart, what angle does Green get?
- Total = 47.
- Green fraction = 14/47.
- 14/47 × 360° = 107.2°.
- Answer: 107.2°
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 Introducing Questionnaires 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 Sampling. 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 Introducing Questionnaires Essentials?
- Move on to Introducing Questionnaires Techniques, Introducing Questionnaires Word Problems, Introducing Questionnaires Common Errors, Working with Questionnaires, which build directly on this idea.
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