Free Grade 3 Introducing Questionnaires Word Problems Worksheets
Free Grade 3 worksheets for Introducing Questionnaires Word Problems: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing questionnaires word problems
Identify introducing questionnaires word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing questionnaires word problems
Explain introducing questionnaires word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing questionnaires word problems
Calculate introducing questionnaires word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing questionnaires word problems
Compare introducing questionnaires word problems 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 Word Problems 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 9, Blue 10, Green 2, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 15, Blue 15, Green 2, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 5, Green 11, Yellow 2. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 4, Blue 8, Green 6, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 3, Blue 7, Green 2, Yellow 3. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 12, Blue 2, Green 10, Yellow 2. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 8, Green 5, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 11, Blue 15, Green 2, Yellow 12. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 12, Blue 3, Green 6, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 5, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 2, Green 11, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 11, Blue 14, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 24.8°
Total = 29. Green fraction = 2/29. 2/29 × 360° = 24.8°.
2. 122.7°
Total = 44. Blue fraction = 15/44. 15/44 × 360° = 122.7°.
3. 163.6°
Total = 33. Red fraction = 15/33. 15/33 × 360° = 163.6°.
4. 87.3°
Total = 33. Blue fraction = 8/33. 8/33 × 360° = 87.3°.
5. 48°
Total = 15. Green fraction = 2/15. 2/15 × 360° = 48°.
6. 166.2°
Total = 26. Red fraction = 12/26. 12/26 × 360° = 166.2°.
7. 96°
Total = 30. Blue fraction = 8/30. 8/30 × 360° = 96°.
8. 18°
Total = 40. Green fraction = 2/40. 2/40 × 360° = 18°.
9. 61.7°
Total = 35. Green fraction = 6/35. 6/35 × 360° = 61.7°.
10. 92.6°
Total = 35. Yellow fraction = 9/35. 9/35 × 360° = 92.6°.
11. 107°
Total = 37. Green fraction = 11/37. 11/37 × 360° = 107°.
12. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
Worked examples
In a survey: Red 7, Blue 11, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 44.
- Yellow fraction = 12/44.
- 12/44 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 4, Blue 7, Green 2, Yellow 8. In a pie chart, what angle does Red get?
- Total = 21.
- Red fraction = 4/21.
- 4/21 × 360° = 68.6°.
- Answer: 68.6°
In a survey: Red 12, Blue 9, Green 13, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 48.
- Blue fraction = 9/48.
- 9/48 × 360° = 67.5°.
- Answer: 67.5°
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 Introducing Questionnaires Word Problems 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 Introducing Questionnaires Techniques, Introducing Questionnaires Essentials, 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 Word Problems?
- Move on to Introducing Questionnaires Common Errors, Working with Questionnaires, Questionnaires in Context, which build directly on this idea.
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