Free Grade 3 Sampling in Context Common Errors in Examinations Lesson Plans
Free Grade 3 lesson plans for Sampling in Context Common Errors in Examinations: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify sampling in context common errors in examinations
Identify sampling in context common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain sampling in context common errors in examinations
Explain sampling in context common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context common errors in examinations
Calculate sampling in context common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context common errors in examinations
Compare sampling in context common errors in examinations 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 Sampling in Context Common Errors in Examinations 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 13, Blue 2, Green 4, Yellow 4. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 3, Blue 3, Green 7, Yellow 12. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 9, Blue 14, Green 14, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 14, Blue 3, Green 14, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 14, Green 9, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 7, Blue 9, Green 2, Yellow 6. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 5, Blue 14, Green 4, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 5, Blue 3, Green 14, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 13, Green 6, Yellow 2. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 12, Green 3, Yellow 7. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 15, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 203.5°
Total = 23. Red fraction = 13/23. 13/23 × 360° = 203.5°.
2. 100.8°
Total = 25. Green fraction = 7/25. 7/25 × 360° = 100.8°.
3. 35.1°
Total = 41. Yellow fraction = 4/41. 4/41 × 360° = 35.1°.
4. 25.1°
Total = 43. Blue fraction = 3/43. 3/43 × 360° = 25.1°.
5. 20.6°
Total = 35. Red fraction = 2/35. 2/35 × 360° = 20.6°.
6. 30°
Total = 24. Green fraction = 2/24. 2/24 × 360° = 30°.
7. 180°
Total = 28. Blue fraction = 14/28. 14/28 × 360° = 180°.
8. 64.3°
Total = 28. Green fraction = 5/28. 5/28 × 360° = 64.3°.
9. 86.9°
Total = 29. Yellow fraction = 7/29. 7/29 × 360° = 86.9°.
10. 86.4°
Total = 25. Green fraction = 6/25. 6/25 × 360° = 86.4°.
11. 77.1°
Total = 28. Red fraction = 6/28. 6/28 × 360° = 77.1°.
12. 174.2°
Total = 31. Blue fraction = 15/31. 15/31 × 360° = 174.2°.
Worked examples
In a survey: Red 6, Blue 5, Green 12, Yellow 7. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 6/30.
- 6/30 × 360° = 72°.
- Answer: 72°
In a survey: Red 12, Blue 10, Green 11, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 43.
- Blue fraction = 10/43.
- 10/43 × 360° = 83.7°.
- Answer: 83.7°
In a survey: Red 3, Blue 8, Green 13, Yellow 10. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 3/34.
- 3/34 × 360° = 31.8°.
- Answer: 31.8°
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 Working with Sampling in Context Common Errors, Rules and Methods in 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 Sampling in Context Essentials, Sampling in Context Techniques, Sampling in Context Word Problems, which build directly on this idea.
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