Free Grade 3 Working with Introducing Sampling Essentials: Worked Examples Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: worked examples
Identify working with introducing sampling essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: worked examples
Explain working with introducing sampling essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: worked examples
Calculate working with introducing sampling essentials: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: worked examples
Compare working with introducing sampling essentials: 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 Working with Introducing Sampling Essentials: 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 9, Blue 12, Green 15, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 11, Blue 4, Green 11, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 3, Blue 6, Green 4, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 12, Blue 13, Green 2, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 10, Green 8, Yellow 6. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 11, Blue 12, Green 15, Yellow 6. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 14, Green 3, Yellow 5. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 4, Green 15, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 9, Blue 13, Green 3, Yellow 11. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 4, Blue 9, Green 9, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 15, Blue 2, Green 8, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 10, Green 10, Yellow 10. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 105.9°
Total = 51. Yellow fraction = 15/51. 15/51 × 360° = 105.9°.
2. 101.5°
Total = 39. Red fraction = 11/39. 11/39 × 360° = 101.5°.
3. 56.8°
Total = 19. Red fraction = 3/19. 3/19 × 360° = 56.8°.
4. 17.6°
Total = 41. Green fraction = 2/41. 2/41 × 360° = 17.6°.
5. 82.3°
Total = 35. Green fraction = 8/35. 8/35 × 360° = 82.3°.
6. 122.7°
Total = 44. Green fraction = 15/44. 15/44 × 360° = 122.7°.
7. 136.2°
Total = 37. Blue fraction = 14/37. 14/37 × 360° = 136.2°.
8. 109.1°
Total = 33. Yellow fraction = 10/33. 10/33 × 360° = 109.1°.
9. 30°
Total = 36. Green fraction = 3/36. 3/36 × 360° = 30°.
10. 129.6°
Total = 25. Green fraction = 9/25. 9/25 × 360° = 129.6°.
11. 18°
Total = 40. Blue fraction = 2/40. 2/40 × 360° = 18°.
12. 32.7°
Total = 33. Red fraction = 3/33. 3/33 × 360° = 32.7°.
Worked examples
In a survey: Red 14, Blue 5, Green 10, Yellow 3. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 14/32.
- 14/32 × 360° = 157.5°.
- Answer: 157.5°
In a survey: Red 5, Blue 9, Green 5, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 27.
- Blue fraction = 9/27.
- 9/27 × 360° = 120°.
- Answer: 120°
In a survey: Red 15, Blue 6, Green 15, Yellow 2. In a pie chart, what angle does Green get?
- Total = 38.
- Green fraction = 15/38.
- 15/38 × 360° = 142.1°.
- Answer: 142.1°
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 Working with Introducing Sampling Essentials: Step-by-step Method, What is Working with Introducing Sampling Essentials, Rules and Methods in Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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