Free Grade 3 Sampling in Context Common Errors Lessons
Free Grade 3 lessons for Sampling in Context 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context common errors
Explain sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context common errors
Calculate sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context common errors
Compare sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context common errors
Justify sampling in context 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 Sampling in Context 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 10, Blue 14, Green 6, Yellow 15. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 9, Blue 2, Green 6, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 6, Green 9, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 5, Blue 7, Green 14, Yellow 2. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 11, Blue 2, Green 3, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 9, Green 14, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 4, Green 4, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 11, Blue 12, Green 6, Yellow 15. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 14, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 9, Blue 9, Green 8, Yellow 8. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 5, Blue 12, Green 7, Yellow 14. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 12, Blue 8, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 80°
Total = 45. Red fraction = 10/45. 10/45 × 360° = 80°.
2. 101.3°
Total = 32. Red fraction = 9/32. 9/32 × 360° = 101.3°.
3. 123.8°
Total = 32. Red fraction = 11/32. 11/32 × 360° = 123.8°.
4. 64.3°
Total = 28. Red fraction = 5/28. 5/28 × 360° = 64.3°.
5. 129.6°
Total = 25. Yellow fraction = 9/25. 9/25 × 360° = 129.6°.
6. 90°
Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.
7. 72°
Total = 20. Blue fraction = 4/20. 4/20 × 360° = 72°.
8. 90°
Total = 44. Red fraction = 11/44. 11/44 × 360° = 90°.
9. 80°
Total = 45. Yellow fraction = 10/45. 10/45 × 360° = 80°.
10. 84.7°
Total = 34. Green fraction = 8/34. 8/34 × 360° = 84.7°.
11. 66.3°
Total = 38. Green fraction = 7/38. 7/38 × 360° = 66.3°.
12. 77.1°
Total = 42. Yellow fraction = 9/42. 9/42 × 360° = 77.1°.
Worked examples
In a survey: Red 5, Blue 3, Green 3, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 12/23.
- 12/23 × 360° = 187.8°.
- Answer: 187.8°
In a survey: Red 15, Blue 9, Green 2, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 41.
- Yellow fraction = 15/41.
- 15/41 × 360° = 131.7°.
- Answer: 131.7°
In a survey: Red 4, Blue 13, Green 6, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 13/34.
- 13/34 × 360° = 137.6°.
- Answer: 137.6°
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 Sampling in Context 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 Sampling in Context Word Problems, Sampling in Context Techniques, Working with 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 Sampling in Context Common Errors?
- Move on to Introducing Sampling, Working with Sampling, which build directly on this idea.
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