Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Visual Models — 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: visual models — reasoning
Identify working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — reasoning
Explain working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — reasoning
Calculate working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — reasoning
Compare working with introducing sampling essentials: visual models — 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: Visual Models — 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 12, Blue 4, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 15, Blue 2, Green 15, Yellow 2. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 8, Green 7, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 3, Blue 11, Green 15, Yellow 10. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 8, Green 10, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 6, Green 2, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 4, Blue 11, Green 13, Yellow 2. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 10, Blue 3, Green 9, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 4, Blue 7, Green 9, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 14, Blue 14, Green 15, Yellow 10. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 11, Blue 13, Green 13, Yellow 3. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 7, Green 6, Yellow 15. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 123.2°
Total = 38. Yellow fraction = 13/38. 13/38 × 360° = 123.2°.
2. 158.8°
Total = 34. Green fraction = 15/34. 15/34 × 360° = 158.8°.
3. 82.3°
Total = 35. Blue fraction = 8/35. 8/35 × 360° = 82.3°.
4. 27.7°
Total = 39. Red fraction = 3/39. 3/39 × 360° = 27.7°.
5. 100°
Total = 36. Red fraction = 10/36. 10/36 × 360° = 100°.
6. 74.5°
Total = 29. Blue fraction = 6/29. 6/29 × 360° = 74.5°.
7. 156°
Total = 30. Green fraction = 13/30. 13/30 × 360° = 156°.
8. 116.1°
Total = 31. Red fraction = 10/31. 10/31 × 360° = 116.1°.
9. 92.6°
Total = 35. Green fraction = 9/35. 9/35 × 360° = 92.6°.
10. 101.9°
Total = 53. Green fraction = 15/53. 15/53 × 360° = 101.9°.
11. 99°
Total = 40. Red fraction = 11/40. 11/40 × 360° = 99°.
12. 78.8°
Total = 32. Blue fraction = 7/32. 7/32 × 360° = 78.8°.
Worked examples
In a survey: Red 7, Blue 4, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 3/27.
- 3/27 × 360° = 40°.
- Answer: 40°
In a survey: Red 10, Blue 10, Green 9, Yellow 15. In a pie chart, what angle does Green get?
- Total = 44.
- Green fraction = 9/44.
- 9/44 × 360° = 73.6°.
- Answer: 73.6°
In a survey: Red 15, Blue 4, Green 8, Yellow 15. In a pie chart, what angle does Green get?
- Total = 42.
- Green fraction = 8/42.
- 8/42 × 360° = 68.6°.
- Answer: 68.6°
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: Visual Models — Application, Working with Introducing Sampling Essentials: Visual Models — Understanding, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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