Free Grade 3 Working with Introducing Sampling Techniques Worksheets
Free Grade 3 worksheets for Working with 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°.
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30 min
24
Learning objectives
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- UnderstandExplain working with introducing sampling techniques
Explain working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques
Calculate working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques
Compare working with introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques
Justify working with 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 Working with 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 14, Blue 12, Green 13, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 2, Blue 3, Green 5, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 7, Blue 15, Green 14, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 5, Blue 11, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 9, Blue 13, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 15, Blue 6, Green 7, Yellow 15. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 3, Blue 7, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 12, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 5, Blue 13, Green 13, Yellow 13. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 8, Blue 5, Green 14, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 11, Blue 15, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 8, Blue 11, Green 10, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 33.5°
Total = 43. Yellow fraction = 4/43. 4/43 × 360° = 33.5°.
2. 72°
Total = 15. Blue fraction = 3/15. 3/15 × 360° = 72°.
3. 122.7°
Total = 44. Blue fraction = 15/44. 15/44 × 360° = 122.7°.
4. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
5. 114.1°
Total = 41. Blue fraction = 13/41. 13/41 × 360° = 114.1°.
6. 125.6°
Total = 43. Red fraction = 15/43. 15/43 × 360° = 125.6°.
7. 77.1°
Total = 28. Yellow fraction = 6/28. 6/28 × 360° = 77.1°.
8. 172.8°
Total = 25. Red fraction = 12/25. 12/25 × 360° = 172.8°.
9. 106.4°
Total = 44. Green fraction = 13/44. 13/44 × 360° = 106.4°.
10. 46.2°
Total = 39. Blue fraction = 5/39. 5/39 × 360° = 46.2°.
11. 125.6°
Total = 43. Blue fraction = 15/43. 15/43 × 360° = 125.6°.
12. 92.9°
Total = 31. Red fraction = 8/31. 8/31 × 360° = 92.9°.
Worked examples
In a survey: Red 4, Blue 7, Green 5, Yellow 5. In a pie chart, what angle does Green get?
- Total = 21.
- Green fraction = 5/21.
- 5/21 × 360° = 85.7°.
- Answer: 85.7°
In a survey: Red 9, Blue 9, Green 3, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 9/33.
- 9/33 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 4, Blue 6, Green 10, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 23.
- Blue fraction = 6/23.
- 6/23 × 360° = 93.9°.
- Answer: 93.9°
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
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Frequently asked
- Is this Grade 3 Working with 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 Rules and Methods in Introducing Sampling Techniques, Key Vocabulary of Introducing Sampling Techniques, Introducing Sampling Essentials. 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 Introducing Sampling Techniques?
- Move on to Introducing Sampling Techniques in Examinations, Introducing Sampling Essentials, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.
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