Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning: 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
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: step-by-step method — reasoning
Identify working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — reasoning
Explain working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — reasoning
Calculate working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — reasoning
Compare working with introducing sampling essentials: step-by-step method — reasoning 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: Step-by-step Method — Reasoning 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 3, Blue 15, Green 11, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 11, Blue 12, Green 11, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 13, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 12, Green 3, Yellow 13. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 14, Green 3, Yellow 4. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 13, Green 7, Yellow 12. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 12, Blue 8, Green 15, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 6, Green 6, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 5, Blue 8, Green 9, Yellow 2. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 8, Blue 11, Green 6, Yellow 6. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 8, Blue 9, Green 8, Yellow 10. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 15, Green 12, Yellow 15. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 131.7°
Total = 41. Blue fraction = 15/41. 15/41 × 360° = 131.7°.
2. 101.5°
Total = 39. Red fraction = 11/39. 11/39 × 360° = 101.5°.
3. 106.4°
Total = 44. Red fraction = 13/44. 13/44 × 360° = 106.4°.
4. 30°
Total = 36. Green fraction = 3/36. 3/36 × 360° = 30°.
5. 123.8°
Total = 32. Red fraction = 11/32. 11/32 × 360° = 123.8°.
6. 53.6°
Total = 47. Green fraction = 7/47. 7/47 × 360° = 53.6°.
7. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
8. 117°
Total = 40. Yellow fraction = 13/40. 13/40 × 360° = 117°.
9. 75°
Total = 24. Red fraction = 5/24. 5/24 × 360° = 75°.
10. 69.7°
Total = 31. Green fraction = 6/31. 6/31 × 360° = 69.7°.
11. 82.3°
Total = 35. Green fraction = 8/35. 8/35 × 360° = 82.3°.
12. 69.2°
Total = 52. Red fraction = 10/52. 10/52 × 360° = 69.2°.
Worked examples
In a survey: Red 5, Blue 13, Green 5, Yellow 11. In a pie chart, what angle does Red get?
- Total = 34.
- Red fraction = 5/34.
- 5/34 × 360° = 52.9°.
- Answer: 52.9°
In a survey: Red 14, Blue 3, Green 2, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 4/23.
- 4/23 × 360° = 62.6°.
- Answer: 62.6°
In a survey: Red 6, Blue 5, Green 2, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 18.
- Blue fraction = 5/18.
- 5/18 × 360° = 100°.
- Answer: 100°
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 — Application, Working with Introducing Sampling Essentials: Step-by-step Method — Understanding, What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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