Free Grade 3 Working with Sampling in Context Common Errors: Visual Models Worksheets
Free Grade 3 worksheets for Working with Sampling in Context Common Errors: 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°.
Free
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling in context common errors: visual models
Explain working with sampling in context common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context common errors: visual models
Calculate working with sampling in context common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context common errors: visual models
Compare working with sampling in context common errors: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling in context common errors: visual models
Justify working with sampling in context common errors: 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 Working with Sampling in Context Common Errors: 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 5, Blue 9, Green 8, Yellow 6. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 9, Blue 5, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 5, Green 2, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 12, Blue 8, Green 4, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 14, Blue 3, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 8, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 15, Green 6, Yellow 6. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 15, Blue 11, Green 5, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 6, Green 5, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 7, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 14, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 8, Blue 14, Green 7, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 64.3°
Total = 28. Red fraction = 5/28. 5/28 × 360° = 64.3°.
2. 129.2°
Total = 39. Yellow fraction = 14/39. 14/39 × 360° = 129.2°.
3. 102.9°
Total = 21. Red fraction = 6/21. 6/21 × 360° = 102.9°.
4. 132.6°
Total = 38. Yellow fraction = 14/38. 14/38 × 360° = 132.6°.
5. 70°
Total = 36. Yellow fraction = 7/36. 7/36 × 360° = 70°.
6. 26.7°
Total = 27. Yellow fraction = 2/27. 2/27 × 360° = 26.7°.
7. 56.3°
Total = 32. Red fraction = 5/32. 5/32 × 360° = 56.3°.
8. 138.5°
Total = 39. Red fraction = 15/39. 15/39 × 360° = 138.5°.
9. 86.4°
Total = 25. Blue fraction = 6/25. 6/25 × 360° = 86.4°.
10. 41.5°
Total = 26. Yellow fraction = 3/26. 3/26 × 360° = 41.5°.
11. 98.8°
Total = 51. Blue fraction = 14/51. 14/51 × 360° = 98.8°.
12. 92.9°
Total = 31. Red fraction = 8/31. 8/31 × 360° = 92.9°.
Worked examples
In a survey: Red 12, Blue 5, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 9/39.
- 9/39 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 14, Blue 10, Green 4, Yellow 10. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 14/38.
- 14/38 × 360° = 132.6°.
- Answer: 132.6°
In a survey: Red 5, Blue 14, Green 13, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 2/34.
- 2/34 × 360° = 21.2°.
- Answer: 21.2°
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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Frequently asked
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- Start with Working with Sampling in Context Common Errors: Worked Examples, Working with Sampling in Context Common Errors: Step-by-step Method, Rules and Methods in Sampling in Context Common Errors. Each one has its own free lesson, worksheet and quiz.
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- Move on to Working with Sampling in Context Common Errors: Common Mistakes, Working with Sampling in Context Common Errors: Real-life Applications, Introduction to Sampling in Context Common Errors, Key Vocabulary of Sampling in Context Common Errors, which build directly on this idea.
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