Free Grade 3 Introduction to Introducing Sampling Essentials: Visual Models Worksheets
Free Grade 3 worksheets for Introduction to Introducing Sampling Essentials: Visual Models: 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°.
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20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introduction to introducing sampling essentials: visual models
Explain introduction to introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to introducing sampling essentials: visual models
Calculate introduction to introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to introducing sampling essentials: visual models
Compare introduction to introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introduction to introducing sampling essentials: visual models
Justify introduction to introducing sampling essentials: visual models 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 Introduction to Introducing Sampling Essentials: Visual Models 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 8, Blue 8, Green 5, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 5, Blue 14, Green 5, Yellow 8. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 11, Blue 13, Green 11, Yellow 11. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 9, Blue 11, Green 5, Yellow 5. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 14, Green 2, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 12, Blue 12, Green 15, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 14, Blue 5, Green 5, Yellow 5. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 8, Blue 12, Green 14, Yellow 4. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 3, Blue 4, Green 4, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 9, Blue 13, Green 14, Yellow 14. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 2, Blue 3, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 14, Blue 7, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 106.7°
Total = 27. Blue fraction = 8/27. 8/27 × 360° = 106.7°.
2. 56.3°
Total = 32. Green fraction = 5/32. 5/32 × 360° = 56.3°.
3. 86.1°
Total = 46. Red fraction = 11/46. 11/46 × 360° = 86.1°.
4. 60°
Total = 30. Green fraction = 5/30. 5/30 × 360° = 60°.
5. 80°
Total = 36. Yellow fraction = 8/36. 8/36 × 360° = 80°.
6. 125.6°
Total = 43. Green fraction = 15/43. 15/43 × 360° = 125.6°.
7. 62.1°
Total = 29. Green fraction = 5/29. 5/29 × 360° = 62.1°.
8. 75.8°
Total = 38. Red fraction = 8/38. 8/38 × 360° = 75.8°.
9. 127.1°
Total = 17. Yellow fraction = 6/17. 6/17 × 360° = 127.1°.
10. 100.8°
Total = 50. Green fraction = 14/50. 14/50 × 360° = 100.8°.
11. 180°
Total = 26. Yellow fraction = 13/26. 13/26 × 360° = 180°.
12. 63°
Total = 40. Blue fraction = 7/40. 7/40 × 360° = 63°.
Worked examples
In a survey: Red 3, Blue 14, Green 15, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 40.
- Blue fraction = 14/40.
- 14/40 × 360° = 126°.
- Answer: 126°
In a survey: Red 9, Blue 12, Green 8, Yellow 11. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 9/40.
- 9/40 × 360° = 81°.
- Answer: 81°
In a survey: Red 14, Blue 9, Green 15, Yellow 7. In a pie chart, what angle does Green get?
- Total = 45.
- Green fraction = 15/45.
- 15/45 × 360° = 120°.
- Answer: 120°
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 Introduction to Introducing Sampling Essentials: Worked Examples, Introduction to Introducing Sampling Essentials: Step-by-step Method, Data Presentation. Each one has its own free lesson, worksheet and quiz.
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