Free Grade 3 Working with Introducing Sampling Common Errors: Common Mistakes Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Common Errors: Common Mistakes: 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
35 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: common mistakes
Explain working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling common errors: common mistakes
Calculate working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling common errors: common mistakes
Compare working with introducing sampling common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling common errors: common mistakes
Justify working with introducing sampling common errors: common mistakes 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: Common Mistakes 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 6, Blue 9, Green 10, Yellow 12. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 8, Blue 3, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 11, Green 15, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 8, Blue 14, Green 4, Yellow 9. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 3, Blue 7, Green 5, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 13, Blue 14, Green 11, Yellow 14. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 10, Blue 13, Green 5, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 10, Blue 4, Green 11, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 10, Green 2, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 14, Blue 9, Green 2, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 9, Green 12, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 2, Blue 8, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 97.3°
Total = 37. Green fraction = 10/37. 10/37 × 360° = 97.3°.
2. 141.8°
Total = 33. Yellow fraction = 13/33. 13/33 × 360° = 141.8°.
3. 116.5°
Total = 34. Blue fraction = 11/34. 11/34 × 360° = 116.5°.
4. 82.3°
Total = 35. Red fraction = 8/35. 8/35 × 360° = 82.3°.
5. 36°
Total = 30. Red fraction = 3/30. 3/30 × 360° = 36°.
6. 76.2°
Total = 52. Green fraction = 11/52. 11/52 × 360° = 76.2°.
7. 126.5°
Total = 37. Blue fraction = 13/37. 13/37 × 360° = 126.5°.
8. 123.2°
Total = 38. Yellow fraction = 13/38. 13/38 × 360° = 123.2°.
9. 135°
Total = 32. Yellow fraction = 12/32. 12/32 × 360° = 135°.
10. 129.2°
Total = 39. Yellow fraction = 14/39. 14/39 × 360° = 129.2°.
11. 104.5°
Total = 31. Blue fraction = 9/31. 9/31 × 360° = 104.5°.
12. 90°
Total = 32. Blue fraction = 8/32. 8/32 × 360° = 90°.
Worked examples
In a survey: Red 3, Blue 3, Green 4, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 25.
- Yellow fraction = 15/25.
- 15/25 × 360° = 216°.
- Answer: 216°
In a survey: Red 9, Blue 14, Green 11, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 46.
- Blue fraction = 14/46.
- 14/46 × 360° = 109.6°.
- Answer: 109.6°
In a survey: Red 4, Blue 14, Green 2, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 25.
- Yellow fraction = 5/25.
- 5/25 × 360° = 72°.
- Answer: 72°
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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