Free Grade 3 Working with Introducing Questionnaires Essentials Worksheets
Free Grade 3 worksheets for Working with 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing questionnaires essentials
Explain working with introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing questionnaires essentials
Calculate working with introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing questionnaires essentials
Compare working with introducing questionnaires essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing questionnaires essentials
Justify working with 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 Working with 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 6, Green 4, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 14, Blue 5, Green 15, Yellow 14. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 2, Blue 9, Green 11, Yellow 3. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 3, Blue 4, Green 12, Yellow 9. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 2, Green 7, Yellow 14. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 2, Green 15, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 4, Green 14, Yellow 10. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 10, Blue 3, Green 5, Yellow 14. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 15, Blue 7, Green 9, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 9, Blue 2, Green 3, Yellow 2. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 10, Green 10, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 3, Green 14, Yellow 10. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 80°
Total = 27. Blue fraction = 6/27. 6/27 × 360° = 80°.
2. 105°
Total = 48. Red fraction = 14/48. 14/48 × 360° = 105°.
3. 158.4°
Total = 25. Green fraction = 11/25. 11/25 × 360° = 158.4°.
4. 38.6°
Total = 28. Red fraction = 3/28. 3/28 × 360° = 38.6°.
5. 109.1°
Total = 33. Red fraction = 10/33. 10/33 × 360° = 109.1°.
6. 131.7°
Total = 41. Green fraction = 15/41. 15/41 × 360° = 131.7°.
7. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
8. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
9. 122.7°
Total = 44. Red fraction = 15/44. 15/44 × 360° = 122.7°.
10. 202.5°
Total = 16. Red fraction = 9/16. 9/16 × 360° = 202.5°.
11. 100°
Total = 36. Green fraction = 10/36. 10/36 × 360° = 100°.
12. 173.8°
Total = 29. Green fraction = 14/29. 14/29 × 360° = 173.8°.
Worked examples
In a survey: Red 15, Blue 8, Green 3, Yellow 7. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 3/33.
- 3/33 × 360° = 32.7°.
- Answer: 32.7°
In a survey: Red 4, Blue 9, Green 15, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 9/38.
- 9/38 × 360° = 85.3°.
- Answer: 85.3°
In a survey: Red 12, Blue 6, Green 10, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 42.
- Blue fraction = 6/42.
- 6/42 × 360° = 51.4°.
- Answer: 51.4°
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
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- Start with Rules and Methods in Introducing Questionnaires Essentials, Key Vocabulary of Introducing Questionnaires Essentials, Sampling. Each one has its own free lesson, worksheet and quiz.
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- Move on to Introducing Questionnaires Essentials in Examinations, Introducing Questionnaires Techniques, Introducing Questionnaires Word Problems, Introducing Questionnaires Common Errors, which build directly on this idea.
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