Free Grade 3 Working with Sampling Common Errors Quizzes
Free Grade 3 quizzes 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°.
Free
Foundation
25 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 11, Blue 13, Green 14, Yellow 7. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 6, Blue 6, Green 13, Yellow 10. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 4, Blue 11, Green 3, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 8, Blue 5, Green 6, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 10, Green 10, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 8, Blue 4, Green 11, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 4, Blue 9, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 5, Blue 10, Green 10, Yellow 2. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 7, Blue 10, Green 15, Yellow 12. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 7, Blue 12, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 15, Blue 7, Green 11, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 6, Blue 9, Green 2, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 112°
Total = 45. Green fraction = 14/45. 14/45 × 360° = 112°.
2. 133.7°
Total = 35. Green fraction = 13/35. 13/35 × 360° = 133.7°.
3. 68.6°
Total = 21. Red fraction = 4/21. 4/21 × 360° = 68.6°.
4. 93.9°
Total = 23. Green fraction = 6/23. 6/23 × 360° = 93.9°.
5. 85.7°
Total = 42. Blue fraction = 10/42. 10/42 × 360° = 85.7°.
6. 38.9°
Total = 37. Blue fraction = 4/37. 4/37 × 360° = 38.9°.
7. 111.7°
Total = 29. Blue fraction = 9/29. 9/29 × 360° = 111.7°.
8. 133.3°
Total = 27. Green fraction = 10/27. 10/27 × 360° = 133.3°.
9. 57.3°
Total = 44. Red fraction = 7/44. 7/44 × 360° = 57.3°.
10. 144°
Total = 30. Blue fraction = 12/30. 12/30 × 360° = 144°.
11. 66.3°
Total = 38. Blue fraction = 7/38. 7/38 × 360° = 66.3°.
12. 72°
Total = 30. Red fraction = 6/30. 6/30 × 360° = 72°.
Worked examples
In a survey: Red 14, Blue 11, Green 14, Yellow 2. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 14/41.
- 14/41 × 360° = 122.9°.
- Answer: 122.9°
In a survey: Red 10, Blue 13, Green 15, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 47.
- Yellow fraction = 9/47.
- 9/47 × 360° = 68.9°.
- Answer: 68.9°
In a survey: Red 5, Blue 9, Green 13, Yellow 10. In a pie chart, what angle does Red get?
- Total = 37.
- Red fraction = 5/37.
- 5/37 × 360° = 48.6°.
- Answer: 48.6°
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 quiz really free?
- Yes. Every quizzes 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 quiz 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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