Free Grade 3 Sampling in Context Essentials Quizzes
Free Grade 3 quizzes for Sampling in Context Essentials: 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
Higher
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context essentials
Explain sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context essentials
Calculate sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context essentials
Compare sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context essentials
Justify sampling in context essentials 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 Essentials 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 2, Blue 9, Green 14, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 9, Blue 13, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 4, Green 7, Yellow 7. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 7, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 9, Blue 7, Green 2, Yellow 14. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 11, Blue 14, Green 7, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 5, Blue 8, Green 7, Yellow 3. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 14, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 8, Blue 11, Green 2, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 13, Blue 6, Green 4, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 11, Blue 9, Green 14, Yellow 9. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 15, Green 10, Yellow 9. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 108°
Total = 30. Blue fraction = 9/30. 9/30 × 360° = 108°.
2. 120°
Total = 39. Blue fraction = 13/39. 13/39 × 360° = 120°.
3. 144°
Total = 30. Red fraction = 12/30. 12/30 × 360° = 144°.
4. 77.8°
Total = 37. Yellow fraction = 8/37. 8/37 × 360° = 77.8°.
5. 101.3°
Total = 32. Red fraction = 9/32. 9/32 × 360° = 101.3°.
6. 114.5°
Total = 44. Blue fraction = 14/44. 14/44 × 360° = 114.5°.
7. 78.3°
Total = 23. Red fraction = 5/23. 5/23 × 360° = 78.3°.
8. 114.5°
Total = 44. Blue fraction = 14/44. 14/44 × 360° = 114.5°.
9. 45°
Total = 24. Yellow fraction = 3/24. 3/24 × 360° = 45°.
10. 80°
Total = 27. Blue fraction = 6/27. 6/27 × 360° = 80°.
11. 117.2°
Total = 43. Green fraction = 14/43. 14/43 × 360° = 117.2°.
12. 29.2°
Total = 37. Red fraction = 3/37. 3/37 × 360° = 29.2°.
Worked examples
In a survey: Red 4, Blue 13, Green 8, Yellow 14. In a pie chart, what angle does Green get?
- Total = 39.
- Green fraction = 8/39.
- 8/39 × 360° = 73.8°.
- Answer: 73.8°
In a survey: Red 14, Blue 5, Green 10, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 40.
- Blue fraction = 5/40.
- 5/40 × 360° = 45°.
- Answer: 45°
In a survey: Red 4, Blue 4, Green 3, Yellow 10. In a pie chart, what angle does Green get?
- Total = 21.
- Green fraction = 3/21.
- 3/21 × 360° = 51.4°.
- Answer: 51.4°
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 Essentials 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. 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 Essentials?
- Move on to Sampling in Context Techniques, Sampling in Context Word Problems, Sampling in Context Common Errors, Introducing Sampling, which build directly on this idea.
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