Free Grade 3 Introducing Sampling Common Errors in Examinations Lessons
Free Grade 3 lessons for Introducing Sampling 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
Core
20 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
Explain introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling common errors in examinations
Calculate introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling common errors in examinations
Compare introducing sampling common errors in examinations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling common errors in examinations
Justify introducing sampling 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 Introducing Sampling 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 7, Blue 12, Green 9, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 6, Blue 9, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 2, Blue 7, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 9, Blue 6, Green 6, Yellow 8. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 2, Blue 8, Green 15, Yellow 9. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 9, Blue 12, Green 7, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 5, Blue 3, Green 8, Yellow 12. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 12, Green 4, Yellow 3. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 8, Blue 7, Green 6, Yellow 7. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 6, Blue 6, Green 14, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 11, Blue 10, Green 2, Yellow 2. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 5, Blue 5, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
2. 54.5°
Total = 33. Yellow fraction = 5/33. 5/33 × 360° = 54.5°.
3. 90°
Total = 28. Blue fraction = 7/28. 7/28 × 360° = 90°.
4. 111.7°
Total = 29. Red fraction = 9/29. 9/29 × 360° = 111.7°.
5. 158.8°
Total = 34. Green fraction = 15/34. 15/34 × 360° = 158.8°.
6. 78.8°
Total = 32. Green fraction = 7/32. 7/32 × 360° = 78.8°.
7. 102.9°
Total = 28. Green fraction = 8/28. 8/28 × 360° = 102.9°.
8. 68.6°
Total = 21. Green fraction = 4/21. 4/21 × 360° = 68.6°.
9. 102.9°
Total = 28. Red fraction = 8/28. 8/28 × 360° = 102.9°.
10. 67.5°
Total = 32. Blue fraction = 6/32. 6/32 × 360° = 67.5°.
11. 158.4°
Total = 25. Red fraction = 11/25. 11/25 × 360° = 158.4°.
12. 129.2°
Total = 39. Yellow fraction = 14/39. 14/39 × 360° = 129.2°.
Worked examples
In a survey: Red 4, Blue 2, Green 7, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 22.
- Blue fraction = 2/22.
- 2/22 × 360° = 32.7°.
- Answer: 32.7°
In a survey: Red 5, Blue 13, Green 8, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 7/33.
- 7/33 × 360° = 76.4°.
- Answer: 76.4°
In a survey: Red 13, Blue 12, Green 5, Yellow 14. In a pie chart, what angle does Red get?
- Total = 44.
- Red fraction = 13/44.
- 13/44 × 360° = 106.4°.
- Answer: 106.4°
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 Working with Introducing Sampling Common Errors, Rules and Methods in Introducing Sampling Common Errors, Introducing Sampling Word Problems. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Introducing Sampling Common Errors in Examinations?
- Move on to Introducing Sampling Essentials, Introducing Sampling Techniques, Introducing Sampling Word Problems, which build directly on this idea.
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