Free Grade 3 Working with Introducing Sampling Techniques Lessons
Free Grade 3 lessons for Working with Introducing Sampling 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°.
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35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques
Explain working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques
Calculate working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques
Compare working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques
Justify working with introducing sampling 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 Introducing Sampling 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 13, Blue 12, Green 2, Yellow 5. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 15, Blue 14, Green 4, Yellow 6. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 15, Blue 10, Green 7, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 6, Green 5, Yellow 6. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 8, Blue 15, Green 3, Yellow 4. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 7, Blue 2, Green 3, Yellow 9. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 13, Blue 8, Green 13, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 6, Blue 3, Green 10, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 3, Blue 12, Green 3, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 5, Blue 5, Green 8, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 5, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 6, Blue 10, Green 11, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 146.3°
Total = 32. Red fraction = 13/32. 13/32 × 360° = 146.3°.
2. 138.5°
Total = 39. Red fraction = 15/39. 15/39 × 360° = 138.5°.
3. 80°
Total = 45. Blue fraction = 10/45. 10/45 × 360° = 80°.
4. 68.6°
Total = 21. Red fraction = 4/21. 4/21 × 360° = 68.6°.
5. 36°
Total = 30. Green fraction = 3/30. 3/30 × 360° = 36°.
6. 51.4°
Total = 21. Green fraction = 3/21. 3/21 × 360° = 51.4°.
7. 68.6°
Total = 42. Blue fraction = 8/42. 8/42 × 360° = 68.6°.
8. 38.6°
Total = 28. Blue fraction = 3/28. 3/28 × 360° = 38.6°.
9. 36°
Total = 20. Yellow fraction = 2/20. 2/20 × 360° = 36°.
10. 115.2°
Total = 25. Green fraction = 8/25. 8/25 × 360° = 115.2°.
11. 173.3°
Total = 27. Yellow fraction = 13/27. 13/27 × 360° = 173.3°.
12. 123.8°
Total = 32. Green fraction = 11/32. 11/32 × 360° = 123.8°.
Worked examples
In a survey: Red 2, Blue 6, Green 2, Yellow 7. In a pie chart, what angle does Red get?
- Total = 17.
- Red fraction = 2/17.
- 2/17 × 360° = 42.4°.
- Answer: 42.4°
In a survey: Red 6, Blue 2, Green 13, Yellow 13. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 6/34.
- 6/34 × 360° = 63.5°.
- Answer: 63.5°
In a survey: Red 13, Blue 5, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 9/35.
- 9/35 × 360° = 92.6°.
- Answer: 92.6°
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
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Frequently asked
- Is this Grade 3 Working with Introducing Sampling 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 Introducing Sampling Techniques, Key Vocabulary of Introducing Sampling Techniques, Introducing Sampling 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 Introducing Sampling Techniques?
- Move on to Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.
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