Free Grade 3 Sampling Worksheets
Free Grade 3 worksheets for Sampling: 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
Explain sampling accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling
Calculate sampling accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling
Compare sampling accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling
Justify sampling 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 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 5, Blue 4, Green 4, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 6, Blue 3, Green 15, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 10, Blue 7, Green 7, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 3, Blue 4, Green 13, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 8, Blue 12, Green 6, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 13, Blue 6, Green 7, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 3, Green 5, Yellow 5. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 5, Blue 11, Green 10, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 3, Blue 15, Green 13, Yellow 12. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 15, Blue 9, Green 10, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 8, Green 7, Yellow 6. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 5, Green 11, Yellow 11. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 65.5°
Total = 22. Blue fraction = 4/22. 4/22 × 360° = 65.5°.
2. 105.9°
Total = 34. Yellow fraction = 10/34. 10/34 × 360° = 105.9°.
3. 86.9°
Total = 29. Green fraction = 7/29. 7/29 × 360° = 86.9°.
4. 53.3°
Total = 27. Blue fraction = 4/27. 4/27 × 360° = 53.3°.
5. 120°
Total = 36. Blue fraction = 12/36. 12/36 × 360° = 120°.
6. 107°
Total = 37. Yellow fraction = 11/37. 11/37 × 360° = 107°.
7. 156.5°
Total = 23. Red fraction = 10/23. 10/23 × 360° = 156.5°.
8. 52.9°
Total = 34. Red fraction = 5/34. 5/34 × 360° = 52.9°.
9. 108.8°
Total = 43. Green fraction = 13/43. 13/43 × 360° = 108.8°.
10. 29.2°
Total = 37. Yellow fraction = 3/37. 3/37 × 360° = 29.2°.
11. 100.8°
Total = 25. Green fraction = 7/25. 7/25 × 360° = 100.8°.
12. 136.6°
Total = 29. Green fraction = 11/29. 11/29 × 360° = 136.6°.
Worked examples
In a survey: Red 13, Blue 10, Green 2, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 10/35.
- 10/35 × 360° = 102.9°.
- Answer: 102.9°
In a survey: Red 3, Blue 4, Green 11, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 31.
- Yellow fraction = 13/31.
- 13/31 × 360° = 151°.
- Answer: 151°
In a survey: Red 15, Blue 3, Green 9, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 3/33.
- 3/33 × 360° = 32.7°.
- Answer: 32.7°
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
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Frequently asked
- Is this Grade 3 Sampling 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 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?
- Move on to Questionnaires, Bias, Averages, Data Presentation, which build directly on this idea.
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