Free Grade 3 Rules and Methods in Introducing Sampling Techniques: Visual Models Lessons
Free Grade 3 lessons for Rules and Methods in Introducing Sampling Techniques: Visual Models: 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
20 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: visual models
Explain rules and methods in introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in introducing sampling techniques: visual models
Calculate rules and methods in introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in introducing sampling techniques: visual models
Compare rules and methods in introducing sampling techniques: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify rules and methods in introducing sampling techniques: visual models
Justify rules and methods in introducing sampling techniques: visual models 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: Visual Models 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 14, Blue 10, Green 11, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 9, Blue 5, Green 7, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 14, Blue 11, Green 3, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 10, Blue 9, Green 9, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 14, Blue 11, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 13, Blue 15, Green 14, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 2, Blue 14, Green 10, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 10, Blue 15, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 12, Blue 14, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 2, Blue 14, Green 2, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 6, Blue 2, Green 14, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 5, Blue 9, Green 9, Yellow 12. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 83.7°
Total = 43. Blue fraction = 10/43. 10/43 × 360° = 83.7°.
2. 101.3°
Total = 32. Red fraction = 9/32. 9/32 × 360° = 101.3°.
3. 94.3°
Total = 42. Blue fraction = 11/42. 11/42 × 360° = 94.3°.
4. 90°
Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.
5. 50.2°
Total = 43. Yellow fraction = 6/43. 6/43 × 360° = 50.2°.
6. 109.6°
Total = 46. Green fraction = 14/46. 14/46 × 360° = 109.6°.
7. 157.5°
Total = 32. Blue fraction = 14/32. 14/32 × 360° = 157.5°.
8. 77.1°
Total = 42. Yellow fraction = 9/42. 9/42 × 360° = 77.1°.
9. 120°
Total = 42. Blue fraction = 14/42. 14/42 × 360° = 120°.
10. 65.5°
Total = 22. Yellow fraction = 4/22. 4/22 × 360° = 65.5°.
11. 23.2°
Total = 31. Blue fraction = 2/31. 2/31 × 360° = 23.2°.
12. 92.6°
Total = 35. Green fraction = 9/35. 9/35 × 360° = 92.6°.
Worked examples
In a survey: Red 6, Blue 14, Green 10, Yellow 9. In a pie chart, what angle does Green get?
- Total = 39.
- Green fraction = 10/39.
- 10/39 × 360° = 92.3°.
- Answer: 92.3°
In a survey: Red 9, Blue 15, Green 5, Yellow 6. In a pie chart, what angle does Green get?
- Total = 35.
- Green fraction = 5/35.
- 5/35 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 7, Blue 7, Green 14, Yellow 7. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 7/35.
- 7/35 × 360° = 72°.
- Answer: 72°
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: Worked Examples, Rules and Methods in Introducing Sampling Techniques: Step-by-step Method, 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: Common Mistakes, Rules and Methods in Introducing Sampling Techniques: Real-life Applications, Introduction to Introducing Sampling Techniques, Key Vocabulary of Introducing Sampling Techniques, which build directly on this idea.
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