Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Mastery Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Visual Models — Mastery: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: visual models — mastery
Explain working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — mastery
Calculate working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — mastery
Compare working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models — mastery
Justify working with introducing sampling essentials: visual models — mastery 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 — Mastery 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 2, Green 5, Yellow 6. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 9, Blue 11, Green 10, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 8, Green 10, Yellow 10. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 8, Green 8, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 6, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 3, Blue 8, Green 12, Yellow 2. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 12, Blue 9, Green 4, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 2, Blue 10, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 2, Blue 3, Green 11, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 14, Blue 2, Green 13, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 5, Green 15, Yellow 4. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 9, Blue 3, Green 6, Yellow 13. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 69.2°
Total = 26. Green fraction = 5/26. 5/26 × 360° = 69.2°.
2. 75.3°
Total = 43. Red fraction = 9/43. 9/43 × 360° = 75.3°.
3. 45°
Total = 32. Red fraction = 4/32. 4/32 × 360° = 45°.
4. 21.8°
Total = 33. Yellow fraction = 2/33. 2/33 × 360° = 21.8°.
5. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
6. 43.2°
Total = 25. Red fraction = 3/25. 3/25 × 360° = 43.2°.
7. 115.7°
Total = 28. Blue fraction = 9/28. 9/28 × 360° = 115.7°.
8. 133.7°
Total = 35. Yellow fraction = 13/35. 13/35 × 360° = 133.7°.
9. 51.4°
Total = 21. Blue fraction = 3/21. 3/21 × 360° = 51.4°.
10. 52.9°
Total = 34. Yellow fraction = 5/34. 5/34 × 360° = 52.9°.
11. 126.5°
Total = 37. Red fraction = 13/37. 13/37 × 360° = 126.5°.
12. 151°
Total = 31. Yellow fraction = 13/31. 13/31 × 360° = 151°.
Worked examples
In a survey: Red 9, Blue 15, Green 9, Yellow 12. In a pie chart, what angle does Green get?
- Total = 45.
- Green fraction = 9/45.
- 9/45 × 360° = 72°.
- Answer: 72°
In a survey: Red 10, Blue 11, Green 5, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 41.
- Yellow fraction = 15/41.
- 15/41 × 360° = 131.7°.
- Answer: 131.7°
In a survey: Red 5, Blue 2, Green 3, Yellow 13. In a pie chart, what angle does Green get?
- Total = 23.
- Green fraction = 3/23.
- 3/23 × 360° = 47°.
- Answer: 47°
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 — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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