Free Grade 3 Working with Working with Sampling Techniques Worksheets
Free Grade 3 worksheets for Working with Working with 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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35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with working with sampling techniques
Explain working with working with sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with working with sampling techniques
Calculate working with working with sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with working with sampling techniques
Compare working with working with sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with working with sampling techniques
Justify working with working with 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 Working with 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 13, Blue 5, Green 3, Yellow 2. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 14, Blue 7, Green 10, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 14, Blue 2, Green 15, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 14, Green 15, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 10, Blue 4, Green 7, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 7, Green 11, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 4, Blue 5, Green 15, Yellow 9. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 8, Blue 3, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 13, Green 9, Yellow 10. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 5, Blue 8, Green 14, Yellow 11. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 12, Green 4, Yellow 8. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 12, Blue 11, Green 5, Yellow 11. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 203.5°
Total = 23. Red fraction = 13/23. 13/23 × 360° = 203.5°.
2. 120°
Total = 42. Red fraction = 14/42. 14/42 × 360° = 120°.
3. 50°
Total = 36. Yellow fraction = 5/36. 5/36 × 360° = 50°.
4. 102.9°
Total = 49. Blue fraction = 14/49. 14/49 × 360° = 102.9°.
5. 120°
Total = 30. Red fraction = 10/30. 10/30 × 360° = 120°.
6. 22.5°
Total = 32. Red fraction = 2/32. 2/32 × 360° = 22.5°.
7. 43.6°
Total = 33. Red fraction = 4/33. 4/33 × 360° = 43.6°.
8. 41.5°
Total = 26. Blue fraction = 3/26. 3/26 × 360° = 41.5°.
9. 56.8°
Total = 38. Red fraction = 6/38. 6/38 × 360° = 56.8°.
10. 47.4°
Total = 38. Red fraction = 5/38. 5/38 × 360° = 47.4°.
11. 48°
Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.
12. 101.5°
Total = 39. Yellow fraction = 11/39. 11/39 × 360° = 101.5°.
Worked examples
In a survey: Red 8, Blue 13, Green 2, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 13/36.
- 13/36 × 360° = 130°.
- Answer: 130°
In a survey: Red 3, Blue 15, Green 10, Yellow 13. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 10/41.
- 10/41 × 360° = 87.8°.
- Answer: 87.8°
In a survey: Red 2, Blue 2, Green 12, Yellow 12. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 2/28.
- 2/28 × 360° = 25.7°.
- Answer: 25.7°
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
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Frequently asked
- Is this Grade 3 Working with Working with 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 Working with Sampling Techniques, Key Vocabulary of Working with Sampling Techniques, Working with 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 Working with Sampling Techniques?
- Move on to Working with Sampling Techniques in Examinations, Working with Sampling Essentials, Working with Sampling Word Problems, Working with Sampling Common Errors, which build directly on this idea.
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