Free Grade 3 Introduction to Sampling in Context Common Errors: Worked Examples Lessons
Free Grade 3 lessons for Introduction to Sampling in Context Common Errors: Worked Examples: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to sampling in context common errors: worked examples
Identify introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to sampling in context common errors: worked examples
Explain introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to sampling in context common errors: worked examples
Calculate introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to sampling in context common errors: worked examples
Compare introduction to sampling in context common errors: worked examples 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 Introduction to Sampling in Context Common Errors: Worked Examples 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 7, Blue 13, Green 3, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 12, Green 6, Yellow 4. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 14, Green 2, Yellow 14. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 4, Blue 12, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 3, Blue 10, Green 14, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 14, Green 6, Yellow 5. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 6, Blue 14, Green 14, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 10, Blue 15, Green 10, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 15, Blue 9, Green 2, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 5, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 15, Blue 4, Green 14, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 13, Green 10, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 74.5°
Total = 29. Yellow fraction = 6/29. 6/29 × 360° = 74.5°.
2. 127.1°
Total = 34. Red fraction = 12/34. 12/34 × 360° = 127.1°.
3. 96.6°
Total = 41. Red fraction = 11/41. 11/41 × 360° = 96.6°.
4. 154.3°
Total = 28. Blue fraction = 12/28. 12/28 × 360° = 154.3°.
5. 65.5°
Total = 33. Yellow fraction = 6/33. 6/33 × 360° = 65.5°.
6. 129.2°
Total = 39. Red fraction = 14/39. 14/39 × 360° = 129.2°.
7. 54°
Total = 40. Yellow fraction = 6/40. 6/40 × 360° = 54°.
8. 122.7°
Total = 44. Blue fraction = 15/44. 15/44 × 360° = 122.7°.
9. 115.7°
Total = 28. Blue fraction = 9/28. 9/28 × 360° = 115.7°.
10. 50°
Total = 36. Blue fraction = 5/36. 5/36 × 360° = 50°.
11. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
12. 90°
Total = 40. Green fraction = 10/40. 10/40 × 360° = 90°.
Worked examples
In a survey: Red 5, Blue 15, Green 15, Yellow 7. In a pie chart, what angle does Red get?
- Total = 42.
- Red fraction = 5/42.
- 5/42 × 360° = 42.9°.
- Answer: 42.9°
In a survey: Red 15, Blue 8, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 38.
- Yellow fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
In a survey: Red 14, Blue 8, Green 8, Yellow 11. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 8/41.
- 8/41 × 360° = 70.2°.
- Answer: 70.2°
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
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- Start with Introduction to Sampling in Context Common Errors: Step-by-step Method, What is 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 Introduction to Sampling in Context Common Errors: Visual Models, Introduction to Sampling in Context Common Errors: Common Mistakes, Introduction to Sampling in Context Common Errors: Real-life Applications, Key Vocabulary of Sampling in Context Common Errors, which build directly on this idea.
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