Free Grade 3 Working with Introducing Sampling Essentials Worksheets
Free Grade 3 worksheets for Working with Introducing 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
25 min
24
Learning objectives
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- UnderstandExplain working with introducing sampling essentials
Explain working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials
Calculate working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials
Compare working with introducing sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials
Justify working with introducing 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 Introducing 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 10, Blue 11, Green 14, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 2, Blue 14, Green 2, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 4, Blue 14, Green 5, Yellow 14. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 4, Blue 12, Green 14, Yellow 12. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 10, Green 6, Yellow 6. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 10, Blue 6, Green 15, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 8, Green 14, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 8, Blue 6, Green 2, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 11, Blue 3, Green 5, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 5, Blue 3, Green 6, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 8, Green 12, Yellow 4. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 2, Green 4, Yellow 6. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 86.1°
Total = 46. Blue fraction = 11/46. 11/46 × 360° = 86.1°.
2. 186.7°
Total = 27. Blue fraction = 14/27. 14/27 × 360° = 186.7°.
3. 48.6°
Total = 37. Green fraction = 5/37. 5/37 × 360° = 48.6°.
4. 34.3°
Total = 42. Red fraction = 4/42. 4/42 × 360° = 34.3°.
5. 112.5°
Total = 32. Red fraction = 10/32. 10/32 × 360° = 112.5°.
6. 106.4°
Total = 44. Yellow fraction = 13/44. 13/44 × 360° = 106.4°.
7. 67°
Total = 43. Blue fraction = 8/43. 8/43 × 360° = 67°.
8. 174.2°
Total = 31. Yellow fraction = 15/31. 15/31 × 360° = 174.2°.
9. 31.8°
Total = 34. Blue fraction = 3/34. 3/34 × 360° = 31.8°.
10. 150°
Total = 24. Yellow fraction = 10/24. 10/24 × 360° = 150°.
11. 126.5°
Total = 37. Red fraction = 13/37. 13/37 × 360° = 126.5°.
12. 102.9°
Total = 14. Green fraction = 4/14. 4/14 × 360° = 102.9°.
Worked examples
In a survey: Red 4, Blue 5, Green 8, Yellow 12. In a pie chart, what angle does Green get?
- Total = 29.
- Green fraction = 8/29.
- 8/29 × 360° = 99.3°.
- Answer: 99.3°
In a survey: Red 9, Blue 3, Green 7, Yellow 13. In a pie chart, what angle does Green get?
- Total = 32.
- Green fraction = 7/32.
- 7/32 × 360° = 78.8°.
- Answer: 78.8°
In a survey: Red 2, Blue 2, Green 15, Yellow 13. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 2/32.
- 2/32 × 360° = 22.5°.
- Answer: 22.5°
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.
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- 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 Essentials, Key Vocabulary of 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 Working with Introducing Sampling Essentials?
- Move on to Introducing Sampling Essentials in Examinations, Introducing Sampling Techniques, Introducing Sampling Word Problems, Introducing Sampling Common Errors, which build directly on this idea.
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