Free Grade 3 Working with Sampling Essentials Worksheets
Free Grade 3 worksheets for Working with Sampling 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling essentials
Explain working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling essentials
Calculate working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling essentials
Compare working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling essentials
Justify working with sampling 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 Working with Sampling 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 8, Blue 13, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 3, Blue 14, Green 11, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 6, Blue 3, Green 11, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 2, Blue 13, Green 5, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 5, Blue 5, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 3, Blue 8, Green 2, Yellow 15. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 6, Blue 3, Green 12, Yellow 2. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 12, Blue 5, Green 10, Yellow 7. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 14, Blue 8, Green 6, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 5, Blue 14, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 8, Green 7, Yellow 11. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 12, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
2. 126°
Total = 40. Blue fraction = 14/40. 14/40 × 360° = 126°.
3. 40°
Total = 27. Blue fraction = 3/27. 3/27 × 360° = 40°.
4. 151°
Total = 31. Blue fraction = 13/31. 13/31 × 360° = 151°.
5. 48.6°
Total = 37. Blue fraction = 5/37. 5/37 × 360° = 48.6°.
6. 38.6°
Total = 28. Red fraction = 3/28. 3/28 × 360° = 38.6°.
7. 187.8°
Total = 23. Green fraction = 12/23. 12/23 × 360° = 187.8°.
8. 127.1°
Total = 34. Red fraction = 12/34. 12/34 × 360° = 127.1°.
9. 90°
Total = 32. Blue fraction = 8/32. 8/32 × 360° = 90°.
10. 105.9°
Total = 34. Yellow fraction = 10/34. 10/34 × 360° = 105.9°.
11. 48°
Total = 30. Red fraction = 4/30. 4/30 × 360° = 48°.
12. 205.7°
Total = 21. Blue fraction = 12/21. 12/21 × 360° = 205.7°.
Worked examples
In a survey: Red 6, Blue 10, Green 9, Yellow 4. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 6/29.
- 6/29 × 360° = 74.5°.
- Answer: 74.5°
In a survey: Red 2, Blue 10, Green 8, Yellow 7. In a pie chart, what angle does Red get?
- Total = 27.
- Red fraction = 2/27.
- 2/27 × 360° = 26.7°.
- Answer: 26.7°
In a survey: Red 6, Blue 15, Green 14, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 49.
- Yellow fraction = 14/49.
- 14/49 × 360° = 102.9°.
- Answer: 102.9°
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 Essentials 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 Introducing Sampling. 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 Working with Sampling Essentials?
- Move on to Working with Sampling Techniques, Working with Sampling Word Problems, Working with Sampling Common Errors, Introducing Sampling, which build directly on this idea.
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