Free Grade 3 Rules and Methods in Working with Sampling Common Errors Lessons
Free Grade 3 lessons for Rules and Methods in Working with Sampling 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
Core
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain rules and methods in working with sampling common errors
Explain rules and methods in working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in working with sampling common errors
Calculate rules and methods in working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in working with sampling common errors
Compare rules and methods in working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in working with sampling common errors
Justify rules and methods in working with sampling 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 Working with Sampling 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 5, Yellow 11. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 9, Blue 10, Green 12, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 11, Blue 5, Green 9, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 5, Blue 11, Green 11, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 12, Blue 14, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 7, Blue 12, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 2, Blue 5, Green 4, Yellow 14. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 2, Blue 13, Green 3, Yellow 10. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 10, Blue 11, Green 13, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 6, Blue 4, Green 6, Yellow 11. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 4, Blue 9, Green 11, Yellow 13. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 2, Green 7, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 40.9°
Total = 44. Green fraction = 5/44. 5/44 × 360° = 40.9°.
2. 97.3°
Total = 37. Blue fraction = 10/37. 10/37 × 360° = 97.3°.
3. 135°
Total = 40. Yellow fraction = 15/40. 15/40 × 360° = 135°.
4. 113.1°
Total = 35. Blue fraction = 11/35. 11/35 × 360° = 113.1°.
5. 81.8°
Total = 44. Yellow fraction = 10/44. 10/44 × 360° = 81.8°.
6. 122.9°
Total = 41. Yellow fraction = 14/41. 14/41 × 360° = 122.9°.
7. 28.8°
Total = 25. Red fraction = 2/25. 2/25 × 360° = 28.8°.
8. 25.7°
Total = 28. Red fraction = 2/28. 2/28 × 360° = 25.7°.
9. 68.6°
Total = 42. Yellow fraction = 8/42. 8/42 × 360° = 68.6°.
10. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
11. 107°
Total = 37. Green fraction = 11/37. 11/37 × 360° = 107°.
12. 96°
Total = 30. Red fraction = 8/30. 8/30 × 360° = 96°.
Worked examples
In a survey: Red 15, Blue 13, Green 9, Yellow 7. In a pie chart, what angle does Red get?
- Total = 44.
- Red fraction = 15/44.
- 15/44 × 360° = 122.7°.
- Answer: 122.7°
In a survey: Red 9, Blue 15, Green 13, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 15/41.
- 15/41 × 360° = 131.7°.
- Answer: 131.7°
In a survey: Red 3, Blue 8, Green 12, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 8/32.
- 8/32 × 360° = 90°.
- Answer: 90°
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
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- What should a learner already know before this?
- Start with Key Vocabulary of Working with Sampling Common Errors, Introduction to Working with Sampling Common Errors, Working with Sampling Word Problems. 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 Rules and Methods in Working with Sampling Common Errors?
- Move on to Working with Working with Sampling Common Errors, Working with Sampling Common Errors in Examinations, Working with Sampling Essentials, Working with Sampling Techniques, which build directly on this idea.
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