Free Grade 3 Rules and Methods in Introducing Sampling Techniques: Worked Examples Lessons
Free Grade 3 lessons for Rules and Methods in Introducing Sampling Techniques: Worked Examples: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in introducing sampling techniques: worked examples
Identify rules and methods in introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in introducing sampling techniques: worked examples
Explain rules and methods in introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling techniques: worked examples
Calculate rules and methods in introducing sampling techniques: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling techniques: worked examples
Compare rules and methods in introducing sampling techniques: worked examples 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: Worked Examples 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 14, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 10, Green 13, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 2, Blue 7, Green 7, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 2, Blue 12, Green 2, Yellow 14. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 2, Blue 13, Green 7, Yellow 9. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 8, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 2, Green 14, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 5, Blue 10, Green 10, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 3, Green 4, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 4, Blue 2, Green 10, Yellow 9. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 7, Blue 15, Green 2, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 15, Blue 3, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 38.9°
Total = 37. Yellow fraction = 4/37. 4/37 × 360° = 38.9°.
2. 86.4°
Total = 50. Red fraction = 12/50. 12/50 × 360° = 86.4°.
3. 129.6°
Total = 25. Yellow fraction = 9/25. 9/25 × 360° = 129.6°.
4. 24°
Total = 30. Red fraction = 2/30. 2/30 × 360° = 24°.
5. 81.3°
Total = 31. Green fraction = 7/31. 7/31 × 360° = 81.3°.
6. 75.8°
Total = 38. Blue fraction = 8/38. 8/38 × 360° = 75.8°.
7. 117°
Total = 40. Yellow fraction = 13/40. 13/40 × 360° = 117°.
8. 100°
Total = 36. Blue fraction = 10/36. 10/36 × 360° = 100°.
9. 98.2°
Total = 22. Red fraction = 6/22. 6/22 × 360° = 98.2°.
10. 57.6°
Total = 25. Red fraction = 4/25. 4/25 × 360° = 57.6°.
11. 90°
Total = 32. Yellow fraction = 8/32. 8/32 × 360° = 90°.
12. 98.2°
Total = 44. Yellow fraction = 12/44. 12/44 × 360° = 98.2°.
Worked examples
In a survey: Red 5, Blue 7, Green 3, Yellow 5. In a pie chart, what angle does Red get?
- Total = 20.
- Red fraction = 5/20.
- 5/20 × 360° = 90°.
- Answer: 90°
In a survey: Red 3, Blue 13, Green 13, Yellow 4. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 13/33.
- 13/33 × 360° = 141.8°.
- Answer: 141.8°
In a survey: Red 4, Blue 15, Green 9, Yellow 13. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 9/41.
- 9/41 × 360° = 79°.
- Answer: 79°
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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- Start with Rules and Methods in Introducing Sampling Techniques: Step-by-step Method, What is Rules and Methods in Introducing Sampling Techniques, Key Vocabulary of Introducing Sampling Techniques. Each one has its own free lesson, worksheet and quiz.
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- Move on to Rules and Methods in Introducing Sampling Techniques: Visual Models, Rules and Methods in Introducing Sampling Techniques: Common Mistakes, Rules and Methods in Introducing Sampling Techniques: Real-life Applications, Introduction to Introducing Sampling Techniques, which build directly on this idea.
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