Free Grade 3 Introduction to Sampling in Context Common Errors Lessons
Free Grade 3 lessons for Introduction to 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
Foundation
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to sampling in context common errors
Identify introduction to sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to sampling in context common errors
Explain introduction to sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to sampling in context common errors
Calculate introduction to sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to sampling in context common errors
Compare introduction to 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 Introduction to 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 3, Blue 9, Green 14, Yellow 10. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 12, Blue 7, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 2, Blue 3, Green 8, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 9, Blue 12, Green 2, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 7, Green 7, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 12, Blue 9, Green 6, Yellow 7. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 12, Green 9, Yellow 11. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 9, Blue 12, Green 9, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 13, Blue 7, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 7, Blue 4, Green 6, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 15, Green 14, Yellow 3. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 4, Green 13, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 30°
Total = 36. Red fraction = 3/36. 3/36 × 360° = 30°.
2. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
3. 120°
Total = 24. Green fraction = 8/24. 8/24 × 360° = 120°.
4. 101.3°
Total = 32. Yellow fraction = 9/32. 9/32 × 360° = 101.3°.
5. 168.8°
Total = 32. Yellow fraction = 15/32. 15/32 × 360° = 168.8°.
6. 63.5°
Total = 34. Green fraction = 6/34. 6/34 × 360° = 63.5°.
7. 68.9°
Total = 47. Green fraction = 9/47. 9/47 × 360° = 68.9°.
8. 98.2°
Total = 44. Blue fraction = 12/44. 12/44 × 360° = 98.2°.
9. 40°
Total = 27. Yellow fraction = 3/27. 3/27 × 360° = 40°.
10. 90°
Total = 24. Green fraction = 6/24. 6/24 × 360° = 90°.
11. 30.9°
Total = 35. Red fraction = 3/35. 3/35 × 360° = 30.9°.
12. 60°
Total = 24. Blue fraction = 4/24. 4/24 × 360° = 60°.
Worked examples
In a survey: Red 8, Blue 15, Green 3, 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 14, Green 7, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 47.
- Blue fraction = 14/47.
- 14/47 × 360° = 107.2°.
- Answer: 107.2°
In a survey: Red 15, Blue 8, Green 5, Yellow 5. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 5/33.
- 5/33 × 360° = 54.5°.
- Answer: 54.5°
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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Frequently asked
- Is this Grade 3 Introduction to 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. 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 Introduction to Sampling in Context Common Errors?
- Move on to Key Vocabulary of Sampling in Context Common Errors, Rules and Methods in Sampling in Context Common Errors, Working with Sampling in Context Common Errors, Sampling in Context Common Errors in Examinations, which build directly on this idea.
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