Free Grade 3 Introduction to Introducing Sampling Techniques Lessons
Free Grade 3 lessons for Introduction to 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°.
Free
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing sampling techniques
Explain introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing sampling techniques
Calculate introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing sampling techniques
Compare introduction to introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing sampling techniques
Justify introduction to 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 Introduction to 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 10, Blue 11, Green 12, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 10, Blue 11, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 12, Green 10, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 4, Blue 7, Green 14, Yellow 4. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 3, Blue 6, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 8, Blue 7, Green 12, Yellow 11. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 7, Blue 10, Green 12, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 9, Blue 13, Green 14, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 9, Green 3, Yellow 5. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 6, Blue 11, Green 14, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 7, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 13, Blue 15, Green 14, Yellow 9. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 120°
Total = 36. Green fraction = 12/36. 12/36 × 360° = 120°.
2. 105.4°
Total = 41. Yellow fraction = 12/41. 12/41 × 360° = 105.4°.
3. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
4. 49.7°
Total = 29. Red fraction = 4/29. 4/29 × 360° = 49.7°.
5. 57.6°
Total = 25. Yellow fraction = 4/25. 4/25 × 360° = 57.6°.
6. 75.8°
Total = 38. Red fraction = 8/38. 8/38 × 360° = 75.8°.
7. 122.7°
Total = 44. Yellow fraction = 15/44. 15/44 × 360° = 122.7°.
8. 101.7°
Total = 46. Blue fraction = 13/46. 13/46 × 360° = 101.7°.
9. 141.4°
Total = 28. Red fraction = 11/28. 11/28 × 360° = 141.4°.
10. 58.4°
Total = 37. Yellow fraction = 6/37. 6/37 × 360° = 58.4°.
11. 48°
Total = 30. Yellow fraction = 4/30. 4/30 × 360° = 48°.
12. 98.8°
Total = 51. Green fraction = 14/51. 14/51 × 360° = 98.8°.
Worked examples
In a survey: Red 13, Blue 2, Green 15, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 12/42.
- 12/42 × 360° = 102.9°.
- Answer: 102.9°
In a survey: Red 6, Blue 4, Green 9, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 10/29.
- 10/29 × 360° = 124.1°.
- Answer: 124.1°
In a survey: Red 3, Blue 11, Green 8, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 8/30.
- 8/30 × 360° = 96°.
- Answer: 96°
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 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 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 Introduction to Introducing Sampling Techniques?
- Move on to Key Vocabulary of Introducing Sampling Techniques, Rules and Methods in Introducing Sampling Techniques, Working with Introducing Sampling Techniques, Introducing Sampling Techniques in Examinations, which build directly on this idea.
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