Free Grade 3 Rules and Methods in Introducing Sampling Techniques Lessons
Free Grade 3 lessons for Rules and Methods in 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 rules and methods in introducing sampling techniques
Explain rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling techniques
Calculate rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling techniques
Compare rules and methods in introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing sampling techniques
Justify rules and methods in 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 Rules and Methods in 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 5, Blue 10, Green 12, Yellow 9. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 3, Blue 6, Green 15, Yellow 13. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 4, Blue 12, Green 7, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 9, Blue 12, Green 5, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 13, Blue 11, Green 6, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 15, Blue 4, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 10, Green 9, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 15, Blue 6, Green 6, Yellow 13. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 5, Blue 11, Green 10, Yellow 5. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 11, Blue 6, Green 10, Yellow 4. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 11, Blue 9, Green 15, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 13, Blue 15, Green 10, Yellow 8. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 50°
Total = 36. Red fraction = 5/36. 5/36 × 360° = 50°.
2. 145.9°
Total = 37. Green fraction = 15/37. 15/37 × 360° = 145.9°.
3. 55.4°
Total = 26. Red fraction = 4/26. 4/26 × 360° = 55.4°.
4. 84.7°
Total = 34. Yellow fraction = 8/34. 8/34 × 360° = 84.7°.
5. 96.6°
Total = 41. Yellow fraction = 11/41. 11/41 × 360° = 96.6°.
6. 37.9°
Total = 38. Blue fraction = 4/38. 4/38 × 360° = 37.9°.
7. 92.1°
Total = 43. Red fraction = 11/43. 11/43 × 360° = 92.1°.
8. 54°
Total = 40. Green fraction = 6/40. 6/40 × 360° = 54°.
9. 58.1°
Total = 31. Red fraction = 5/31. 5/31 × 360° = 58.1°.
10. 127.7°
Total = 31. Red fraction = 11/31. 11/31 × 360° = 127.7°.
11. 72°
Total = 45. Blue fraction = 9/45. 9/45 × 360° = 72°.
12. 101.7°
Total = 46. Red fraction = 13/46. 13/46 × 360° = 101.7°.
Worked examples
In a survey: Red 4, Blue 8, Green 15, Yellow 11. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 15/38.
- 15/38 × 360° = 142.1°.
- Answer: 142.1°
In a survey: Red 9, Blue 13, Green 6, Yellow 15. In a pie chart, what angle does Red get?
- Total = 43.
- Red fraction = 9/43.
- 9/43 × 360° = 75.3°.
- Answer: 75.3°
In a survey: Red 10, Blue 4, Green 9, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
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 Rules and Methods in Introducing Sampling Techniques lesson really free?
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- What should a learner already know before this?
- Start with Key Vocabulary of Introducing Sampling Techniques, Introduction to 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 Rules and Methods in Introducing Sampling Techniques?
- Move on to Working with Introducing Sampling Techniques, Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, which build directly on this idea.
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