Free Grade 3 Introducing Sampling Common Errors in Examinations: Common Mistakes Lesson Plans
Free Grade 3 lesson plans for Introducing Sampling Common Errors in Examinations: Common Mistakes: 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 introducing sampling common errors in examinations: common mistakes
Explain introducing sampling common errors in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling common errors in examinations: common mistakes
Calculate introducing sampling common errors in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling common errors in examinations: common mistakes
Compare introducing sampling common errors in examinations: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling common errors in examinations: common mistakes
Justify introducing sampling common errors in examinations: common mistakes 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 Introducing Sampling Common Errors in Examinations: Common Mistakes 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 4, Blue 3, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 11, Green 7, Yellow 6. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 6, Blue 12, Green 8, Yellow 10. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 2, Blue 7, Green 5, Yellow 9. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 13, Green 5, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 2, Blue 14, Green 10, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 9, Blue 7, Green 14, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 14, Blue 5, Green 2, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 7, Green 15, Yellow 5. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 8, Blue 9, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 2, Blue 9, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 2, Green 9, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 77.1°
Total = 14. Blue fraction = 3/14. 3/14 × 360° = 77.1°.
2. 64.6°
Total = 39. Green fraction = 7/39. 7/39 × 360° = 64.6°.
3. 60°
Total = 36. Red fraction = 6/36. 6/36 × 360° = 60°.
4. 78.3°
Total = 23. Green fraction = 5/23. 5/23 × 360° = 78.3°.
5. 151°
Total = 31. Blue fraction = 13/31. 13/31 × 360° = 151°.
6. 18°
Total = 40. Red fraction = 2/40. 2/40 × 360° = 18°.
7. 68.1°
Total = 37. Blue fraction = 7/37. 7/37 × 360° = 68.1°.
8. 60°
Total = 30. Blue fraction = 5/30. 5/30 × 360° = 60°.
9. 163.6°
Total = 33. Green fraction = 15/33. 15/33 × 360° = 163.6°.
10. 61.7°
Total = 35. Yellow fraction = 6/35. 6/35 × 360° = 61.7°.
11. 120°
Total = 27. Blue fraction = 9/27. 9/27 × 360° = 120°.
12. 166.2°
Total = 26. Yellow fraction = 12/26. 12/26 × 360° = 166.2°.
Worked examples
In a survey: Red 3, Blue 6, Green 10, Yellow 11. In a pie chart, what angle does Green get?
- Total = 30.
- Green fraction = 10/30.
- 10/30 × 360° = 120°.
- Answer: 120°
In a survey: Red 11, Blue 15, Green 10, Yellow 14. In a pie chart, what angle does Green get?
- Total = 50.
- Green fraction = 10/50.
- 10/50 × 360° = 72°.
- Answer: 72°
In a survey: Red 5, Blue 11, Green 8, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 26.
- Yellow fraction = 2/26.
- 2/26 × 360° = 27.7°.
- Answer: 27.7°
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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