Free Grade 3 Rules and Methods in Sampling in Context Common Errors Worksheets
Free Grade 3 worksheets for Rules and Methods in Sampling 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in sampling in context common errors
Identify rules and methods in sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in sampling in context common errors
Explain rules and methods in sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in sampling in context common errors
Calculate rules and methods in sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in sampling in context common errors
Compare rules and methods in sampling 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 Rules and Methods in Sampling 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 5, Blue 6, Green 10, Yellow 5. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 15, Blue 4, Green 10, Yellow 10. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 7, Blue 13, Green 13, Yellow 12. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 7, Blue 4, Green 9, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 4, Blue 2, Green 15, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 4, Blue 7, Green 11, Yellow 15. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 10, Blue 9, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 13, Blue 14, Green 15, Yellow 6. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 9, Blue 7, Green 9, Yellow 9. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 2, Blue 5, Green 10, Yellow 11. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 10, Green 5, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 10, Green 5, Yellow 9. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 69.2°
Total = 26. Red fraction = 5/26. 5/26 × 360° = 69.2°.
2. 92.3°
Total = 39. Green fraction = 10/39. 10/39 × 360° = 92.3°.
3. 56°
Total = 45. Red fraction = 7/45. 7/45 × 360° = 56°.
4. 32.7°
Total = 22. Yellow fraction = 2/22. 2/22 × 360° = 32.7°.
5. 116.1°
Total = 31. Yellow fraction = 10/31. 10/31 × 360° = 116.1°.
6. 107°
Total = 37. Green fraction = 11/37. 11/37 × 360° = 107°.
7. 83.7°
Total = 43. Yellow fraction = 10/43. 10/43 × 360° = 83.7°.
8. 112.5°
Total = 48. Green fraction = 15/48. 15/48 × 360° = 112.5°.
9. 95.3°
Total = 34. Green fraction = 9/34. 9/34 × 360° = 95.3°.
10. 128.6°
Total = 28. Green fraction = 10/28. 10/28 × 360° = 128.6°.
11. 92.3°
Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.
12. 108°
Total = 30. Yellow fraction = 9/30. 9/30 × 360° = 108°.
Worked examples
In a survey: Red 12, Blue 9, Green 13, Yellow 2. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 12/36.
- 12/36 × 360° = 120°.
- Answer: 120°
In a survey: Red 5, Blue 6, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 8/33.
- 8/33 × 360° = 87.3°.
- Answer: 87.3°
In a survey: Red 10, Blue 7, Green 7, Yellow 7. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 7/31.
- 7/31 × 360° = 81.3°.
- Answer: 81.3°
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 Sampling in Context Common Errors, Introduction to Sampling in Context Common Errors, Sampling in Context Word Problems. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Sampling in Context Common Errors, Sampling in Context Common Errors in Examinations, Sampling in Context Essentials, Sampling in Context Techniques, which build directly on this idea.
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