Free Grade 3 Working with Sampling Common Errors Lessons
Free Grade 3 lessons for Working with 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 working with sampling common errors
Explain working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling common errors
Calculate working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling common errors
Compare working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling common errors
Justify working with 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 Working with 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 3, Blue 11, Green 6, Yellow 13. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 11, Green 4, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 8, Green 12, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 8, Blue 12, Green 12, Yellow 9. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 8, Blue 2, Green 10, Yellow 2. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 9, Blue 14, Green 10, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 4, Blue 7, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 9, Blue 8, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 5, Blue 7, Green 9, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 15, Blue 2, Green 5, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 14, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 12, Blue 14, Green 4, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 65.5°
Total = 33. Green fraction = 6/33. 6/33 × 360° = 65.5°.
2. 123.8°
Total = 32. Blue fraction = 11/32. 11/32 × 360° = 123.8°.
3. 70.2°
Total = 41. Blue fraction = 8/41. 8/41 × 360° = 70.2°.
4. 70.2°
Total = 41. Red fraction = 8/41. 8/41 × 360° = 70.2°.
5. 130.9°
Total = 22. Red fraction = 8/22. 8/22 × 360° = 130.9°.
6. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
7. 138.5°
Total = 26. Yellow fraction = 10/26. 10/26 × 360° = 138.5°.
8. 90°
Total = 40. Yellow fraction = 10/40. 10/40 × 360° = 90°.
9. 60°
Total = 30. Red fraction = 5/30. 5/30 × 360° = 60°.
10. 24°
Total = 30. Blue fraction = 2/30. 2/30 × 360° = 24°.
11. 102.9°
Total = 49. Yellow fraction = 14/49. 14/49 × 360° = 102.9°.
12. 38.9°
Total = 37. Green fraction = 4/37. 4/37 × 360° = 38.9°.
Worked examples
In a survey: Red 11, Blue 14, Green 11, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 6/42.
- 6/42 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 14, Blue 13, Green 10, Yellow 10. In a pie chart, what angle does Red get?
- Total = 47.
- Red fraction = 14/47.
- 14/47 × 360° = 107.2°.
- Answer: 107.2°
In a survey: Red 9, Blue 13, Green 11, Yellow 13. In a pie chart, what angle does Blue get?
- Total = 46.
- Blue fraction = 13/46.
- 13/46 × 360° = 101.7°.
- Answer: 101.7°
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Sampling Common Errors lesson really free?
- Yes. Every lessons on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Sampling Word Problems, Working with Sampling Techniques, Introducing Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the lesson sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Sampling Common Errors?
- Move on to Introducing Sampling, Sampling in Context, which build directly on this idea.
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