Free Grade 3 What is Working with Introducing Sampling Common Errors Lessons
Free Grade 3 lessons for What is Working with Introducing Sampling Common Errors: 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 what is working with introducing sampling common errors
Explain what is working with introducing sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate what is working with introducing sampling common errors
Calculate what is working with introducing sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare what is working with introducing sampling common errors
Compare what is working with introducing sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify what is working with introducing sampling common errors
Justify what is working with introducing sampling common errors 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 What is Working with Introducing Sampling Common Errors 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 7, Yellow 4. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 14, Blue 2, Green 5, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 5, Blue 6, Green 6, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 14, Green 6, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 9, Blue 14, Green 9, Yellow 6. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 2, Green 2, Yellow 8. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 3, Green 12, Yellow 3. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 7, Green 15, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 2, Blue 9, Green 5, Yellow 5. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 15, Blue 15, Green 7, Yellow 10. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 7, Blue 3, Green 8, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 8, Blue 2, Green 12, Yellow 3. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 84°
Total = 30. Red fraction = 7/30. 7/30 × 360° = 84°.
2. 148.2°
Total = 34. Red fraction = 14/34. 14/34 × 360° = 148.2°.
3. 90°
Total = 24. Blue fraction = 6/24. 6/24 × 360° = 90°.
4. 110.2°
Total = 49. Yellow fraction = 15/49. 15/49 × 360° = 110.2°.
5. 85.3°
Total = 38. Red fraction = 9/38. 9/38 × 360° = 85.3°.
6. 51.4°
Total = 14. Red fraction = 2/14. 2/14 × 360° = 51.4°.
7. 205.7°
Total = 21. Green fraction = 12/21. 12/21 × 360° = 205.7°.
8. 58.6°
Total = 43. Blue fraction = 7/43. 7/43 × 360° = 58.6°.
9. 85.7°
Total = 21. Green fraction = 5/21. 5/21 × 360° = 85.7°.
10. 114.9°
Total = 47. Red fraction = 15/47. 15/47 × 360° = 114.9°.
11. 54°
Total = 20. Blue fraction = 3/20. 3/20 × 360° = 54°.
12. 43.2°
Total = 25. Yellow fraction = 3/25. 3/25 × 360° = 43.2°.
Worked examples
In a survey: Red 8, Blue 5, Green 13, Yellow 6. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 8/32.
- 8/32 × 360° = 90°.
- Answer: 90°
In a survey: Red 15, Blue 6, Green 3, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 29.
- Blue fraction = 6/29.
- 6/29 × 360° = 74.5°.
- Answer: 74.5°
In a survey: Red 2, Blue 15, Green 7, Yellow 13. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 7/37.
- 7/37 × 360° = 68.1°.
- Answer: 68.1°
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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- What should a learner already know before this?
- Start with Rules and Methods in Introducing Sampling Common Errors. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Introducing Sampling Common Errors: Step-by-step Method, Working with Introducing Sampling Common Errors: Worked Examples, Working with Introducing Sampling Common Errors: Visual Models, Working with Introducing Sampling Common Errors: Common Mistakes, which build directly on this idea.
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