Free Grade 3 Working with Sampling Common Errors Worksheets
Free Grade 3 worksheets for Working with Sampling Common Errors: 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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Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling common errors
Explain working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling common errors
Calculate working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling common errors
Compare working with sampling common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling common errors
Justify working with sampling common errors 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 Common Errors 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 13, Blue 6, Green 8, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 2, Blue 5, Green 15, Yellow 2. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 15, Green 9, Yellow 14. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 6, Blue 2, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 12, Blue 3, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 15, Blue 15, Green 4, Yellow 8. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 6, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 7, Blue 15, Green 8, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 14, Blue 11, Green 10, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 6, Blue 3, Green 12, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 2, Blue 11, Green 9, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 15, Blue 14, Green 9, Yellow 5. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 74.5°
Total = 29. Blue fraction = 6/29. 6/29 × 360° = 74.5°.
2. 30°
Total = 24. Red fraction = 2/24. 2/24 × 360° = 30°.
3. 80.8°
Total = 49. Red fraction = 11/49. 11/49 × 360° = 80.8°.
4. 163.6°
Total = 33. Yellow fraction = 15/33. 15/33 × 360° = 163.6°.
5. 25.7°
Total = 42. Blue fraction = 3/42. 3/42 × 360° = 25.7°.
6. 128.6°
Total = 42. Red fraction = 15/42. 15/42 × 360° = 128.6°.
7. 74.5°
Total = 29. Blue fraction = 6/29. 6/29 × 360° = 74.5°.
8. 128.6°
Total = 42. Blue fraction = 15/42. 15/42 × 360° = 128.6°.
9. 87.8°
Total = 41. Green fraction = 10/41. 10/41 × 360° = 87.8°.
10. 67.5°
Total = 32. Red fraction = 6/32. 6/32 × 360° = 67.5°.
11. 43.2°
Total = 25. Yellow fraction = 3/25. 3/25 × 360° = 43.2°.
12. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
Worked examples
In a survey: Red 4, Blue 10, Green 8, Yellow 11. In a pie chart, what angle does Red get?
- Total = 33.
- Red fraction = 4/33.
- 4/33 × 360° = 43.6°.
- Answer: 43.6°
In a survey: Red 15, Blue 3, Green 6, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 9/33.
- 9/33 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 14, Blue 3, Green 2, Yellow 14. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 2/33.
- 2/33 × 360° = 21.8°.
- Answer: 21.8°
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
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Working with Sampling Common Errors worksheet really free?
- Yes. Every worksheets on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Sampling Word Problems, Working with Sampling Techniques, Introducing Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the worksheet sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Sampling Common Errors?
- Move on to Introducing Sampling, Sampling in Context, which build directly on this idea.
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