Free Grade 3 Sampling in Context Worksheets
Free Grade 3 worksheets for Sampling in Context: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context
Explain sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context
Calculate sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context
Compare sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context
Justify sampling in context 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 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 10, Blue 5, Green 15, Yellow 2. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 4, Blue 15, Green 2, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 5, Green 6, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 5, Blue 14, Green 6, Yellow 6. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 10, Blue 3, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 14, Blue 12, Green 4, Yellow 6. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 2, Blue 3, Green 5, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 13, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 4, Green 12, Yellow 11. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 6, Blue 11, Green 15, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 9, Green 6, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 6, Blue 12, Green 2, Yellow 3. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 112.5°
Total = 32. Red fraction = 10/32. 10/32 × 360° = 112.5°.
2. 168.8°
Total = 32. Blue fraction = 15/32. 15/32 × 360° = 168.8°.
3. 47.4°
Total = 38. Blue fraction = 5/38. 5/38 × 360° = 47.4°.
4. 69.7°
Total = 31. Green fraction = 6/31. 6/31 × 360° = 69.7°.
5. 108°
Total = 30. Yellow fraction = 9/30. 9/30 × 360° = 108°.
6. 140°
Total = 36. Red fraction = 14/36. 14/36 × 360° = 140°.
7. 31.3°
Total = 23. Red fraction = 2/23. 2/23 × 360° = 31.3°.
8. 24.8°
Total = 29. Yellow fraction = 2/29. 2/29 × 360° = 24.8°.
9. 117°
Total = 40. Red fraction = 13/40. 13/40 × 360° = 117°.
10. 104.2°
Total = 38. Blue fraction = 11/38. 11/38 × 360° = 104.2°.
11. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
12. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
Worked examples
In a survey: Red 8, Blue 3, Green 3, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 24.
- Yellow fraction = 10/24.
- 10/24 × 360° = 150°.
- Answer: 150°
In a survey: Red 4, Blue 3, Green 5, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 17.
- Yellow fraction = 5/17.
- 5/17 × 360° = 105.9°.
- Answer: 105.9°
In a survey: Red 14, Blue 12, Green 9, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 50.
- Yellow fraction = 15/50.
- 15/50 × 360° = 108°.
- Answer: 108°
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.
Every free resource for Sampling in Context
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Frequently asked
- Is this Grade 3 Sampling in Context 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, Introducing Sampling, Data Presentation. 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 Sampling in Context?
- Move on to Questionnaires, Bias, which build directly on this idea.
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