Free Grade 3 Introducing Questionnaires Essentials Lessons
Free Grade 3 lessons 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
15 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 11, Blue 10, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 10, Blue 8, Green 10, Yellow 10. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 13, Blue 3, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 2, Blue 8, Green 11, Yellow 2. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 8, Blue 8, Green 15, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 7, Blue 8, Green 2, Yellow 4. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 10, Blue 5, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 3, Blue 8, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 13, Blue 9, Green 7, Yellow 2. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 10, Blue 12, Green 5, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 15, Green 14, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 4, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 100.5°
Total = 43. Yellow fraction = 12/43. 12/43 × 360° = 100.5°.
2. 94.7°
Total = 38. Red fraction = 10/38. 10/38 × 360° = 94.7°.
3. 47°
Total = 23. Blue fraction = 3/23. 3/23 × 360° = 47°.
4. 172.2°
Total = 23. Green fraction = 11/23. 11/23 × 360° = 172.2°.
5. 70.2°
Total = 41. Blue fraction = 8/41. 8/41 × 360° = 70.2°.
6. 120°
Total = 21. Red fraction = 7/21. 7/21 × 360° = 120°.
7. 101.3°
Total = 32. Yellow fraction = 9/32. 9/32 × 360° = 101.3°.
8. 87.3°
Total = 33. Blue fraction = 8/33. 8/33 × 360° = 87.3°.
9. 151°
Total = 31. Red fraction = 13/31. 13/31 × 360° = 151°.
10. 102.9°
Total = 42. Blue fraction = 12/42. 12/42 × 360° = 102.9°.
11. 114.9°
Total = 47. Blue fraction = 15/47. 15/47 × 360° = 114.9°.
12. 144°
Total = 35. Green fraction = 14/35. 14/35 × 360° = 144°.
Worked examples
In a survey: Red 3, Blue 4, Green 9, Yellow 9. In a pie chart, what angle does Green get?
- Total = 25.
- Green fraction = 9/25.
- 9/25 × 360° = 129.6°.
- Answer: 129.6°
In a survey: Red 12, Blue 8, Green 6, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 8/41.
- 8/41 × 360° = 70.2°.
- Answer: 70.2°
In a survey: Red 10, Blue 4, Green 11, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 4/32.
- 4/32 × 360° = 45°.
- Answer: 45°
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 lesson really free?
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- What should a learner already know before this?
- Start with Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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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