Free Grade 3 Introducing Sampling Techniques Worksheets
Free Grade 3 worksheets for Introducing Sampling Techniques: 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 introducing sampling techniques
Explain introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling techniques
Calculate introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling techniques
Compare introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling techniques
Justify introducing sampling techniques 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 Introducing Sampling Techniques 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 7, Blue 11, Green 9, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 5, Blue 2, Green 7, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 2, Blue 8, Green 7, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 11, Blue 7, Green 13, Yellow 4. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 9, Blue 14, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 10, Blue 5, Green 11, Yellow 11. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 15, Blue 4, Green 14, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 3, Blue 15, Green 14, Yellow 13. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 3, Blue 2, Green 12, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 12, Blue 11, Green 3, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 10, Blue 5, Green 2, Yellow 5. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 10, Blue 7, Green 11, Yellow 10. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 92.6°
Total = 35. Green fraction = 9/35. 9/35 × 360° = 92.6°.
2. 108°
Total = 20. Yellow fraction = 6/20. 6/20 × 360° = 108°.
3. 162.6°
Total = 31. Yellow fraction = 14/31. 14/31 × 360° = 162.6°.
4. 113.1°
Total = 35. Red fraction = 11/35. 11/35 × 360° = 113.1°.
5. 117.2°
Total = 43. Blue fraction = 14/43. 14/43 × 360° = 117.2°.
6. 97.3°
Total = 37. Red fraction = 10/37. 10/37 × 360° = 97.3°.
7. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
8. 112°
Total = 45. Green fraction = 14/45. 14/45 × 360° = 112°.
9. 187.8°
Total = 23. Green fraction = 12/23. 12/23 × 360° = 187.8°.
10. 58.1°
Total = 31. Yellow fraction = 5/31. 5/31 × 360° = 58.1°.
11. 81.8°
Total = 22. Blue fraction = 5/22. 5/22 × 360° = 81.8°.
12. 94.7°
Total = 38. Yellow fraction = 10/38. 10/38 × 360° = 94.7°.
Worked examples
In a survey: Red 7, Blue 3, Green 10, Yellow 2. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 7/22.
- 7/22 × 360° = 114.5°.
- Answer: 114.5°
In a survey: Red 13, Blue 15, Green 14, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 47.
- Blue fraction = 15/47.
- 15/47 × 360° = 114.9°.
- Answer: 114.9°
In a survey: Red 10, Blue 11, Green 10, Yellow 15. In a pie chart, what angle does Red get?
- Total = 46.
- Red fraction = 10/46.
- 10/46 × 360° = 78.3°.
- Answer: 78.3°
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 Introducing Sampling Techniques 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 Essentials, 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 Introducing Sampling Techniques?
- Move on to Introducing Sampling Word Problems, Introducing Sampling Common Errors, Working with Sampling, Sampling in Context, which build directly on this idea.
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