Free Grade 3 Sampling in Context Common Errors Quizzes
Free Grade 3 quizzes for Sampling in Context 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context common errors
Explain sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context common errors
Calculate sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context common errors
Compare sampling in context common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context common errors
Justify sampling in context 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 Sampling in Context 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 15, Blue 5, Green 12, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 4, Blue 8, Green 2, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 8, Blue 6, Green 9, Yellow 7. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 9, Blue 6, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 6, Green 10, Yellow 15. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 10, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 7, Blue 9, Green 8, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 13, Blue 14, Green 14, Yellow 13. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 7, Blue 11, Green 15, Yellow 15. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 7, Blue 5, Green 11, Yellow 13. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 15, Green 2, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 9, Blue 10, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 51.4°
Total = 35. Blue fraction = 5/35. 5/35 × 360° = 51.4°.
2. 57.6°
Total = 25. Red fraction = 4/25. 4/25 × 360° = 57.6°.
3. 108°
Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.
4. 132.6°
Total = 38. Yellow fraction = 14/38. 14/38 × 360° = 132.6°.
5. 105.9°
Total = 34. Green fraction = 10/34. 10/34 × 360° = 105.9°.
6. 102.9°
Total = 35. Blue fraction = 10/35. 10/35 × 360° = 102.9°.
7. 68.1°
Total = 37. Red fraction = 7/37. 7/37 × 360° = 68.1°.
8. 86.7°
Total = 54. Red fraction = 13/54. 13/54 × 360° = 86.7°.
9. 52.5°
Total = 48. Red fraction = 7/48. 7/48 × 360° = 52.5°.
10. 70°
Total = 36. Red fraction = 7/36. 7/36 × 360° = 70°.
11. 40°
Total = 36. Yellow fraction = 4/36. 4/36 × 360° = 40°.
12. 92.3°
Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.
Worked examples
In a survey: Red 11, Blue 3, Green 13, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 10/37.
- 10/37 × 360° = 97.3°.
- Answer: 97.3°
In a survey: Red 11, Blue 5, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 45.
- Yellow fraction = 14/45.
- 14/45 × 360° = 112°.
- Answer: 112°
In a survey: Red 14, Blue 6, Green 9, Yellow 8. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 9/37.
- 9/37 × 360° = 87.6°.
- Answer: 87.6°
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 Sampling in Context 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 Sampling in Context Word Problems, Sampling in Context Techniques, Working with 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 Sampling in Context Common Errors?
- Move on to Introducing Sampling, Working with Sampling, which build directly on this idea.
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