Free Grade 3 Introduction to Sampling in Context Techniques Worksheets
Free Grade 3 worksheets for Introduction to Sampling in Context 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introduction to sampling in context techniques
Identify introduction to sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introduction to sampling in context techniques
Explain introduction to sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introduction to sampling in context techniques
Calculate introduction to sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introduction to sampling in context techniques
Compare introduction to sampling in context 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 Introduction to Sampling in Context 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 4, Blue 3, Green 11, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 6, Blue 8, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 4, Blue 7, Green 15, Yellow 12. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 7, Green 15, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 7, Green 8, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 5, Blue 11, Green 7, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 2, Blue 3, Green 4, Yellow 3. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 8, Blue 15, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 11, Blue 15, Green 3, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 6, Blue 10, Green 11, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 4, Blue 10, Green 4, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 5, Blue 4, Green 11, Yellow 3. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 78.3°
Total = 23. Yellow fraction = 5/23. 5/23 × 360° = 78.3°.
2. 51.4°
Total = 21. Yellow fraction = 3/21. 3/21 × 360° = 51.4°.
3. 142.1°
Total = 38. Green fraction = 15/38. 15/38 × 360° = 142.1°.
4. 74.1°
Total = 34. Blue fraction = 7/34. 7/34 × 360° = 74.1°.
5. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
6. 158.4°
Total = 25. Blue fraction = 11/25. 11/25 × 360° = 158.4°.
7. 60°
Total = 12. Red fraction = 2/12. 2/12 × 360° = 60°.
8. 19.5°
Total = 37. Yellow fraction = 2/37. 2/37 × 360° = 19.5°.
9. 52.9°
Total = 34. Yellow fraction = 5/34. 5/34 × 360° = 52.9°.
10. 74.1°
Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.
11. 109.1°
Total = 33. Blue fraction = 10/33. 10/33 × 360° = 109.1°.
12. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
Worked examples
In a survey: Red 4, Blue 9, Green 15, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 9/37.
- 9/37 × 360° = 87.6°.
- Answer: 87.6°
In a survey: Red 7, Blue 10, Green 8, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 10/32.
- 10/32 × 360° = 112.5°.
- Answer: 112.5°
In a survey: Red 14, Blue 10, Green 2, Yellow 14. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 2/40.
- 2/40 × 360° = 18°.
- Answer: 18°
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 Introduction to Sampling in Context 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 Sampling in Context 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 Introduction to Sampling in Context Techniques?
- Move on to Key Vocabulary of Sampling in Context Techniques, Rules and Methods in Sampling in Context Techniques, Working with Sampling in Context Techniques, Sampling in Context Techniques in Examinations, which build directly on this idea.
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