Free Grade 3 Introduction to Sampling in Context Common Errors: Worked Examples Worksheets
Free Grade 3 worksheets for Introduction to Sampling in Context Common Errors: Worked Examples: 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
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to sampling in context common errors: worked examples
Identify introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to sampling in context common errors: worked examples
Explain introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to sampling in context common errors: worked examples
Calculate introduction to sampling in context common errors: worked examples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to sampling in context common errors: worked examples
Compare introduction to sampling in context common errors: worked examples 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 Sampling in Context Common Errors: Worked Examples 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 6, Green 6, Yellow 11. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 3, Blue 3, Green 14, Yellow 11. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 14, Blue 4, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 6, Blue 14, Green 3, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 13, Blue 3, Green 12, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 13, Green 7, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 14, Green 8, Yellow 10. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 4, Blue 7, Green 12, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 4, Blue 7, Green 2, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 11, Blue 3, Green 7, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 9, Blue 12, Green 12, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 12, Blue 15, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 64.3°
Total = 28. Red fraction = 5/28. 5/28 × 360° = 64.3°.
2. 162.6°
Total = 31. Green fraction = 14/31. 14/31 × 360° = 162.6°.
3. 40°
Total = 36. Blue fraction = 4/36. 4/36 × 360° = 40°.
4. 144°
Total = 35. Blue fraction = 14/35. 14/35 × 360° = 144°.
5. 126.5°
Total = 37. Red fraction = 13/37. 13/37 × 360° = 126.5°.
6. 20°
Total = 36. Red fraction = 2/36. 2/36 × 360° = 20°.
7. 30.9°
Total = 35. Red fraction = 3/35. 3/35 × 360° = 30.9°.
8. 101.3°
Total = 32. Yellow fraction = 9/32. 9/32 × 360° = 101.3°.
9. 137.1°
Total = 21. Yellow fraction = 8/21. 8/21 × 360° = 137.1°.
10. 43.2°
Total = 25. Blue fraction = 3/25. 3/25 × 360° = 43.2°.
11. 47.4°
Total = 38. Yellow fraction = 5/38. 5/38 × 360° = 47.4°.
12. 117.4°
Total = 46. Blue fraction = 15/46. 15/46 × 360° = 117.4°.
Worked examples
In a survey: Red 6, Blue 4, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
In a survey: Red 6, Blue 8, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 40.
- Yellow fraction = 14/40.
- 14/40 × 360° = 126°.
- Answer: 126°
In a survey: Red 10, Blue 10, Green 11, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 6/37.
- 6/37 × 360° = 58.4°.
- Answer: 58.4°
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.
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