Free Grade 3 Introducing Questionnaires Common Errors Lessons
Free Grade 3 lessons for Introducing Questionnaires 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 introducing questionnaires common errors
Identify introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing questionnaires common errors
Explain introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing questionnaires common errors
Calculate introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing questionnaires common errors
Compare introducing questionnaires 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 Introducing Questionnaires 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 14, Blue 14, Green 9, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 13, Blue 14, Green 14, Yellow 8. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 10, Blue 8, Green 9, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 5, Blue 11, Green 13, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 10, Blue 3, Green 9, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 4, Blue 5, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 12, Blue 4, Green 9, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 5, Blue 3, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 10, Blue 6, Green 15, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 11, Green 8, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 9, Green 4, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 9, Blue 13, Green 5, Yellow 9. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 82.5°
Total = 48. Yellow fraction = 11/48. 11/48 × 360° = 82.5°.
2. 102.9°
Total = 49. Green fraction = 14/49. 14/49 × 360° = 102.9°.
3. 74.1°
Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.
4. 77.8°
Total = 37. Yellow fraction = 8/37. 8/37 × 360° = 77.8°.
5. 124.6°
Total = 26. Green fraction = 9/26. 9/26 × 360° = 124.6°.
6. 144°
Total = 35. Yellow fraction = 14/35. 14/35 × 360° = 144°.
7. 102.9°
Total = 35. Yellow fraction = 10/35. 10/35 × 360° = 102.9°.
8. 43.2°
Total = 25. Blue fraction = 3/25. 3/25 × 360° = 43.2°.
9. 55.4°
Total = 39. Blue fraction = 6/39. 6/39 × 360° = 55.4°.
10. 100°
Total = 36. Red fraction = 10/36. 10/36 × 360° = 100°.
11. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
12. 90°
Total = 36. Red fraction = 9/36. 9/36 × 360° = 90°.
Worked examples
In a survey: Red 15, Blue 14, Green 12, Yellow 8. In a pie chart, what angle does Red get?
- Total = 49.
- Red fraction = 15/49.
- 15/49 × 360° = 110.2°.
- Answer: 110.2°
In a survey: Red 12, Blue 3, Green 4, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 24.
- Yellow fraction = 5/24.
- 5/24 × 360° = 75°.
- Answer: 75°
In a survey: Red 6, Blue 2, Green 7, Yellow 11. In a pie chart, what angle does Red get?
- Total = 26.
- Red fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
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 Common Errors lesson really free?
- Yes. Every lessons 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 Word Problems, Introducing Questionnaires Techniques, 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 Common Errors?
- Move on to Working with Questionnaires, Questionnaires in Context, which build directly on this idea.
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