Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Mastery Worksheets
Free Grade 3 worksheets 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
20 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 5, Blue 9, Green 6, Yellow 6. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 10, Blue 11, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 3, Blue 8, Green 14, Yellow 11. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 5, Blue 11, Green 4, Yellow 15. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 3, Green 6, Yellow 8. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 2, Blue 13, Green 8, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 6, Blue 5, Green 8, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 2, Blue 11, Green 4, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 7, Blue 3, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 2, Blue 2, Green 15, Yellow 4. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 14, Blue 14, Green 5, Yellow 5. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 6, Green 4, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 69.2°
Total = 26. Red fraction = 5/26. 5/26 × 360° = 69.2°.
2. 26.7°
Total = 27. Yellow fraction = 2/27. 2/27 × 360° = 26.7°.
3. 30°
Total = 36. Red fraction = 3/36. 3/36 × 360° = 30°.
4. 41.1°
Total = 35. Green fraction = 4/35. 4/35 × 360° = 41.1°.
5. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
6. 84.7°
Total = 34. Green fraction = 8/34. 8/34 × 360° = 84.7°.
7. 62.6°
Total = 23. Yellow fraction = 4/23. 4/23 × 360° = 62.6°.
8. 165°
Total = 24. Blue fraction = 11/24. 11/24 × 360° = 165°.
9. 128.6°
Total = 28. Yellow fraction = 10/28. 10/28 × 360° = 128.6°.
10. 234.8°
Total = 23. Green fraction = 15/23. 15/23 × 360° = 234.8°.
11. 47.4°
Total = 38. Green fraction = 5/38. 5/38 × 360° = 47.4°.
12. 92.9°
Total = 31. Red fraction = 8/31. 8/31 × 360° = 92.9°.
Worked examples
In a survey: Red 9, Blue 9, Green 14, Yellow 11. In a pie chart, what angle does Green get?
- Total = 43.
- Green fraction = 14/43.
- 14/43 × 360° = 117.2°.
- Answer: 117.2°
In a survey: Red 4, Blue 8, Green 11, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 29.
- Blue fraction = 8/29.
- 8/29 × 360° = 99.3°.
- Answer: 99.3°
In a survey: Red 9, Blue 7, Green 14, Yellow 13. In a pie chart, what angle does Red get?
- Total = 43.
- Red fraction = 9/43.
- 9/43 × 360° = 75.3°.
- Answer: 75.3°
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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