Free Grade 3 Rules and Methods in Introducing Questionnaires Common Errors Lessons
Free Grade 3 lessons for Rules and Methods in 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in introducing questionnaires common errors
Explain rules and methods in introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing questionnaires common errors
Calculate rules and methods in introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing questionnaires common errors
Compare rules and methods in introducing questionnaires common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing questionnaires common errors
Justify rules and methods in 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 Rules and Methods in 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 3, Blue 10, Green 5, Yellow 2. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 14, Blue 3, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 3, Blue 7, Green 5, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 15, Blue 10, Green 6, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 3, Green 12, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 6, Green 5, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 13, Blue 8, Green 6, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 10, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 3, Blue 13, Green 14, Yellow 14. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 14, Blue 7, Green 3, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 12, Blue 15, Green 5, Yellow 15. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 12, Blue 7, Green 8, Yellow 4. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 54°
Total = 20. Red fraction = 3/20. 3/20 × 360° = 54°.
2. 30°
Total = 36. Blue fraction = 3/36. 3/36 × 360° = 30°.
3. 90°
Total = 28. Blue fraction = 7/28. 7/28 × 360° = 90°.
4. 85.7°
Total = 42. Blue fraction = 10/42. 10/42 × 360° = 85.7°.
5. 37.9°
Total = 19. Red fraction = 2/19. 2/19 × 360° = 37.9°.
6. 48.6°
Total = 37. Green fraction = 5/37. 5/37 × 360° = 48.6°.
7. 90°
Total = 36. Yellow fraction = 9/36. 9/36 × 360° = 90°.
8. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
9. 24.5°
Total = 44. Red fraction = 3/44. 3/44 × 360° = 24.5°.
10. 74.1°
Total = 34. Blue fraction = 7/34. 7/34 × 360° = 74.1°.
11. 91.9°
Total = 47. Red fraction = 12/47. 12/47 × 360° = 91.9°.
12. 46.5°
Total = 31. Yellow fraction = 4/31. 4/31 × 360° = 46.5°.
Worked examples
In a survey: Red 15, Blue 8, Green 6, Yellow 8. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 6/37.
- 6/37 × 360° = 58.4°.
- Answer: 58.4°
In a survey: Red 5, Blue 9, Green 14, Yellow 3. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 5/31.
- 5/31 × 360° = 58.1°.
- Answer: 58.1°
In a survey: Red 14, Blue 12, Green 8, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 49.
- Blue fraction = 12/49.
- 12/49 × 360° = 88.2°.
- Answer: 88.2°
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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