Free Grade 3 Working with Introducing Sampling Common Errors: Real-life Applications Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Common Errors: Real-life Applications: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling common errors: real-life applications
Explain working with introducing sampling common errors: real-life applications accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling common errors: real-life applications
Calculate working with introducing sampling common errors: real-life applications accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling common errors: real-life applications
Compare working with introducing sampling common errors: real-life applications accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling common errors: real-life applications
Justify working with introducing sampling common errors: real-life applications 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 Common Errors: Real-life Applications 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 10, Blue 6, Green 8, Yellow 10. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 15, Blue 9, Green 6, Yellow 3. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 11, Green 11, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 2, Green 4, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 8, Blue 12, Green 13, Yellow 8. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 6, Blue 3, Green 2, Yellow 10. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 12, Blue 10, Green 5, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 10, Blue 12, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 4, Blue 15, Green 9, Yellow 15. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 6, Blue 4, Green 13, Yellow 5. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 14, Blue 6, Green 11, Yellow 2. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 9, Blue 10, Green 14, Yellow 14. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 84.7°
Total = 34. Green fraction = 8/34. 8/34 × 360° = 84.7°.
2. 163.6°
Total = 33. Red fraction = 15/33. 15/33 × 360° = 163.6°.
3. 94.7°
Total = 38. Red fraction = 10/38. 10/38 × 360° = 94.7°.
4. 57.6°
Total = 25. Yellow fraction = 4/25. 4/25 × 360° = 57.6°.
5. 114.1°
Total = 41. Green fraction = 13/41. 13/41 × 360° = 114.1°.
6. 34.3°
Total = 21. Green fraction = 2/21. 2/21 × 360° = 34.3°.
7. 74.1°
Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.
8. 94.7°
Total = 38. Red fraction = 10/38. 10/38 × 360° = 94.7°.
9. 33.5°
Total = 43. Red fraction = 4/43. 4/43 × 360° = 33.5°.
10. 167.1°
Total = 28. Green fraction = 13/28. 13/28 × 360° = 167.1°.
11. 152.7°
Total = 33. Red fraction = 14/33. 14/33 × 360° = 152.7°.
12. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
Worked examples
In a survey: Red 8, Blue 15, Green 7, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 15/38.
- 15/38 × 360° = 142.1°.
- Answer: 142.1°
In a survey: Red 14, Blue 14, Green 2, Yellow 7. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 14/37.
- 14/37 × 360° = 136.2°.
- Answer: 136.2°
In a survey: Red 3, Blue 15, Green 13, Yellow 15. In a pie chart, what angle does Green get?
- Total = 46.
- Green fraction = 13/46.
- 13/46 × 360° = 101.7°.
- Answer: 101.7°
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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