Free Grade 3 Rules and Methods in Sampling in Context Common Errors Lessons
Free Grade 3 lessons 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
35 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 12, Blue 15, Green 4, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 5, Blue 3, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 4, Blue 10, Green 5, Yellow 14. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 10, Blue 12, Green 10, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 2, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 2, Blue 5, Green 10, Yellow 5. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 11, Blue 12, Green 15, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 8, Green 6, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 2, Blue 10, Green 11, Yellow 7. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 9, Blue 11, Green 12, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 8, Blue 3, Green 6, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 13, Blue 2, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 81°
Total = 40. Yellow fraction = 9/40. 9/40 × 360° = 81°.
2. 40°
Total = 27. Blue fraction = 3/27. 3/27 × 360° = 40°.
3. 43.6°
Total = 33. Red fraction = 4/33. 4/33 × 360° = 43.6°.
4. 123.4°
Total = 35. Blue fraction = 12/35. 12/35 × 360° = 123.4°.
5. 34.3°
Total = 21. Blue fraction = 2/21. 2/21 × 360° = 34.3°.
6. 163.6°
Total = 22. Green fraction = 10/22. 10/22 × 360° = 163.6°.
7. 90°
Total = 48. Blue fraction = 12/48. 12/48 × 360° = 90°.
8. 141.4°
Total = 28. Yellow fraction = 11/28. 11/28 × 360° = 141.4°.
9. 24°
Total = 30. Red fraction = 2/30. 2/30 × 360° = 24°.
10. 96°
Total = 45. Green fraction = 12/45. 12/45 × 360° = 96°.
11. 33.8°
Total = 32. Blue fraction = 3/32. 3/32 × 360° = 33.8°.
12. 123.4°
Total = 35. Yellow fraction = 12/35. 12/35 × 360° = 123.4°.
Worked examples
In a survey: Red 13, Blue 4, Green 3, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 11, Blue 13, Green 8, Yellow 5. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 11/37.
- 11/37 × 360° = 107°.
- Answer: 107°
In a survey: Red 3, Blue 9, Green 7, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 21.
- Blue fraction = 9/21.
- 9/21 × 360° = 154.3°.
- Answer: 154.3°
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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- 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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- What comes next after Rules and Methods in Sampling in Context Common Errors?
- 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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