Free Grade 3 Working with Sampling in Context Techniques Lessons
Free Grade 3 lessons for Working with Sampling in Context Techniques: 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with sampling in context techniques
Identify working with sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with sampling in context techniques
Explain working with sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context techniques
Calculate working with sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context techniques
Compare working with sampling in context techniques 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 in Context Techniques 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 11, Blue 6, Green 9, Yellow 10. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 12, Green 9, Yellow 14. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 15, Blue 2, Green 13, Yellow 15. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 5, Green 2, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 13, Blue 9, Green 10, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 8, Blue 2, Green 2, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 7, Blue 2, Green 14, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 5, Blue 12, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 5, Green 4, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 10, Blue 10, Green 6, Yellow 3. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 12, Blue 2, Green 10, Yellow 12. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 9, Blue 8, Green 9, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 90°
Total = 36. Green fraction = 9/36. 9/36 × 360° = 90°.
2. 28.4°
Total = 38. Red fraction = 3/38. 3/38 × 360° = 28.4°.
3. 120°
Total = 45. Red fraction = 15/45. 15/45 × 360° = 120°.
4. 75°
Total = 24. Blue fraction = 5/24. 5/24 × 360° = 75°.
5. 68.9°
Total = 47. Blue fraction = 9/47. 9/47 × 360° = 68.9°.
6. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
7. 142.1°
Total = 38. Yellow fraction = 15/38. 15/38 × 360° = 142.1°.
8. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
9. 115.2°
Total = 25. Yellow fraction = 8/25. 8/25 × 360° = 115.2°.
10. 124.1°
Total = 29. Red fraction = 10/29. 10/29 × 360° = 124.1°.
11. 100°
Total = 36. Green fraction = 10/36. 10/36 × 360° = 100°.
12. 98.2°
Total = 33. Green fraction = 9/33. 9/33 × 360° = 98.2°.
Worked examples
In a survey: Red 2, Blue 8, Green 3, Yellow 9. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 2/22.
- 2/22 × 360° = 32.7°.
- Answer: 32.7°
In a survey: Red 3, Blue 4, Green 4, Yellow 2. In a pie chart, what angle does Red get?
- Total = 13.
- Red fraction = 3/13.
- 3/13 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 3, Blue 6, Green 9, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 12/30.
- 12/30 × 360° = 144°.
- Answer: 144°
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 Working with Sampling in Context Techniques 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 Rules and Methods in Sampling in Context Techniques, Key Vocabulary of Sampling in Context Techniques, Sampling in Context Essentials. 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 in Context Techniques?
- Move on to Sampling in Context Techniques in Examinations, Sampling in Context Essentials, Sampling in Context Word Problems, Sampling in Context Common Errors, which build directly on this idea.
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