Free Grade 3 Working with Introducing Sampling Essentials: Common Mistakes Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: 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
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35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: common mistakes
Explain working with introducing sampling essentials: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: common mistakes
Calculate working with introducing sampling essentials: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: common mistakes
Compare working with introducing sampling essentials: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: common mistakes
Justify working with introducing sampling essentials: 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 Working with Introducing Sampling Essentials: 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 5, Blue 6, Green 7, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 7, Blue 14, Green 8, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 9, Blue 10, Green 5, Yellow 2. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 13, Blue 13, Green 14, Yellow 11. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 9, Blue 14, Green 9, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 10, Blue 12, Green 10, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 15, Blue 11, Green 5, Yellow 7. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 3, Blue 2, Green 5, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 8, Blue 13, Green 4, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 5, Blue 12, Green 9, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 4, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 15, Green 2, Yellow 12. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 108°
Total = 20. Blue fraction = 6/20. 6/20 × 360° = 108°.
2. 162.6°
Total = 31. Blue fraction = 14/31. 14/31 × 360° = 162.6°.
3. 69.2°
Total = 26. Green fraction = 5/26. 5/26 × 360° = 69.2°.
4. 98.8°
Total = 51. Green fraction = 14/51. 14/51 × 360° = 98.8°.
5. 77.1°
Total = 42. Red fraction = 9/42. 9/42 × 360° = 77.1°.
6. 79°
Total = 41. Yellow fraction = 9/41. 9/41 × 360° = 79°.
7. 47.4°
Total = 38. Green fraction = 5/38. 5/38 × 360° = 47.4°.
8. 42.4°
Total = 17. Blue fraction = 2/17. 2/17 × 360° = 42.4°.
9. 36.9°
Total = 39. Green fraction = 4/39. 4/39 × 360° = 36.9°.
10. 54.5°
Total = 33. Red fraction = 5/33. 5/33 × 360° = 54.5°.
11. 138.5°
Total = 26. Yellow fraction = 10/26. 10/26 × 360° = 138.5°.
12. 92.3°
Total = 39. Red fraction = 10/39. 10/39 × 360° = 92.3°.
Worked examples
In a survey: Red 11, Blue 4, Green 8, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 4/38.
- 4/38 × 360° = 37.9°.
- Answer: 37.9°
In a survey: Red 13, Blue 4, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 40.
- Yellow fraction = 10/40.
- 10/40 × 360° = 90°.
- Answer: 90°
In a survey: Red 10, Blue 4, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 5/29.
- 5/29 × 360° = 62.1°.
- Answer: 62.1°
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
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- Start with Working with Introducing Sampling Essentials: Visual Models, Working with Introducing Sampling Essentials: Worked Examples, Rules and Methods in Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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