Free Grade 3 Questionnaires in Context Common Errors Lesson Plans
Free Grade 3 lesson plans for Questionnaires in Context Common Errors: 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 questionnaires in context common errors
Identify questionnaires in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain questionnaires in context common errors
Explain questionnaires in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate questionnaires in context common errors
Calculate questionnaires in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare questionnaires in context common errors
Compare questionnaires in context common errors 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 Common Errors 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 2, Blue 12, Green 12, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 2, Green 11, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 2, Blue 9, Green 11, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 10, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 14, Blue 3, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 13, Blue 6, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 9, Blue 2, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 14, Blue 9, Green 14, Yellow 7. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 13, Blue 10, Green 9, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 8, Blue 4, Green 4, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 8, Green 2, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 9, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 24.8°
Total = 29. Red fraction = 2/29. 2/29 × 360° = 24.8°.
2. 24°
Total = 30. Blue fraction = 2/30. 2/30 × 360° = 24°.
3. 77.1°
Total = 28. Yellow fraction = 6/28. 6/28 × 360° = 77.1°.
4. 83.7°
Total = 43. Blue fraction = 10/43. 10/43 × 360° = 83.7°.
5. 128.6°
Total = 42. Yellow fraction = 15/42. 15/42 × 360° = 128.6°.
6. 56.8°
Total = 38. Blue fraction = 6/38. 6/38 × 360° = 56.8°.
7. 74.5°
Total = 29. Yellow fraction = 6/29. 6/29 × 360° = 74.5°.
8. 114.5°
Total = 44. Green fraction = 14/44. 14/44 × 360° = 114.5°.
9. 72°
Total = 45. Green fraction = 9/45. 9/45 × 360° = 72°.
10. 62.6°
Total = 23. Blue fraction = 4/23. 4/23 × 360° = 62.6°.
11. 125.2°
Total = 23. Blue fraction = 8/23. 8/23 × 360° = 125.2°.
12. 60°
Total = 30. Yellow fraction = 5/30. 5/30 × 360° = 60°.
Worked examples
In a survey: Red 8, Blue 14, Green 15, Yellow 7. In a pie chart, what angle does Green get?
- Total = 44.
- Green fraction = 15/44.
- 15/44 × 360° = 122.7°.
- Answer: 122.7°
In a survey: Red 6, Blue 12, Green 5, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 4/27.
- 4/27 × 360° = 53.3°.
- Answer: 53.3°
In a survey: Red 7, Blue 3, Green 5, Yellow 4. In a pie chart, what angle does Green get?
- Total = 19.
- Green fraction = 5/19.
- 5/19 × 360° = 94.7°.
- Answer: 94.7°
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 Common Errors lesson plan really free?
- Yes. Every lesson plans 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 Word Problems, Questionnaires in Context Techniques, Working with Questionnaires. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan 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 Common Errors?
- Move on to Introducing Questionnaires, Working with Questionnaires, which build directly on this idea.
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