Free Grade 3 Introducing Sampling Common Errors in Examinations: Step-by-step Method Lessons
Free Grade 3 lessons for Introducing Sampling Common Errors in Examinations: Step-by-step Method: 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°.
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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: step-by-step method
Explain introducing sampling common errors in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling common errors in examinations: step-by-step method
Calculate introducing sampling common errors in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling common errors in examinations: step-by-step method
Compare introducing sampling common errors in examinations: step-by-step method accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling common errors in examinations: step-by-step method
Justify introducing sampling common errors in examinations: step-by-step method 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: Step-by-step Method 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 6, Blue 13, Green 9, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 6, Blue 2, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 5, Green 11, Yellow 12. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 5, Blue 8, Green 5, Yellow 10. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 5, Blue 6, Green 9, Yellow 6. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 4, Blue 14, Green 4, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 4, Blue 9, Green 6, Yellow 12. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 14, Blue 3, Green 7, Yellow 6. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 4, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 4, Blue 9, Green 4, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 4, Blue 10, Green 15, Yellow 2. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 10, Blue 11, Green 7, Yellow 10. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 34.8°
Total = 31. Yellow fraction = 3/31. 3/31 × 360° = 34.8°.
2. 195°
Total = 24. Yellow fraction = 13/24. 13/24 × 360° = 195°.
3. 72°
Total = 35. Red fraction = 7/35. 7/35 × 360° = 72°.
4. 64.3°
Total = 28. Green fraction = 5/28. 5/28 × 360° = 64.3°.
5. 69.2°
Total = 26. Red fraction = 5/26. 5/26 × 360° = 69.2°.
6. 46.5°
Total = 31. Green fraction = 4/31. 4/31 × 360° = 46.5°.
7. 69.7°
Total = 31. Green fraction = 6/31. 6/31 × 360° = 69.7°.
8. 84°
Total = 30. Green fraction = 7/30. 7/30 × 360° = 84°.
9. 55.4°
Total = 26. Red fraction = 4/26. 4/26 × 360° = 55.4°.
10. 140.9°
Total = 23. Blue fraction = 9/23. 9/23 × 360° = 140.9°.
11. 46.5°
Total = 31. Red fraction = 4/31. 4/31 × 360° = 46.5°.
12. 66.3°
Total = 38. Green fraction = 7/38. 7/38 × 360° = 66.3°.
Worked examples
In a survey: Red 2, Blue 8, Green 7, Yellow 5. In a pie chart, what angle does Green get?
- Total = 22.
- Green fraction = 7/22.
- 7/22 × 360° = 114.5°.
- Answer: 114.5°
In a survey: Red 14, Blue 10, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 38.
- Yellow fraction = 2/38.
- 2/38 × 360° = 18.9°.
- Answer: 18.9°
In a survey: Red 10, Blue 4, Green 5, Yellow 10. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 10/29.
- 10/29 × 360° = 124.1°.
- Answer: 124.1°
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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