Free Grade 3 Sampling in Context Techniques Worksheets
Free Grade 3 worksheets for 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
Core
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context techniques
Explain sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context techniques
Calculate sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context techniques
Compare sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context techniques
Justify 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 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 11, Green 11, Yellow 10. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 8, Blue 14, Green 4, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 3, Blue 11, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 11, Blue 3, Green 3, Yellow 6. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 10, Blue 12, Green 13, Yellow 5. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 15, Blue 7, Green 7, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 15, Blue 11, Green 12, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 14, Blue 9, Green 4, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 3, Blue 2, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 6, Blue 14, Green 12, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 8, Green 15, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 9, Green 13, Yellow 5. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 110°
Total = 36. Green fraction = 11/36. 11/36 × 360° = 110°.
2. 92.9°
Total = 31. Red fraction = 8/31. 8/31 × 360° = 92.9°.
3. 126.5°
Total = 37. Yellow fraction = 13/37. 13/37 × 360° = 126.5°.
4. 172.2°
Total = 23. Red fraction = 11/23. 11/23 × 360° = 172.2°.
5. 117°
Total = 40. Green fraction = 13/40. 13/40 × 360° = 117°.
6. 76.4°
Total = 33. Green fraction = 7/33. 7/33 × 360° = 76.4°.
7. 99°
Total = 40. Blue fraction = 11/40. 11/40 × 360° = 99°.
8. 122.9°
Total = 41. Red fraction = 14/41. 14/41 × 360° = 122.9°.
9. 42.4°
Total = 17. Blue fraction = 2/17. 2/17 × 360° = 42.4°.
10. 104°
Total = 45. Yellow fraction = 13/45. 13/45 × 360° = 104°.
11. 62.6°
Total = 46. Blue fraction = 8/46. 8/46 × 360° = 62.6°.
12. 36°
Total = 30. Red fraction = 3/30. 3/30 × 360° = 36°.
Worked examples
In a survey: Red 14, Blue 7, Green 2, Yellow 12. In a pie chart, what angle does Green get?
- Total = 35.
- Green fraction = 2/35.
- 2/35 × 360° = 20.6°.
- Answer: 20.6°
In a survey: Red 7, Blue 5, Green 11, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 5/28.
- 5/28 × 360° = 64.3°.
- Answer: 64.3°
In a survey: Red 15, Blue 11, Green 14, Yellow 2. In a pie chart, what angle does Red get?
- Total = 42.
- Red fraction = 15/42.
- 15/42 × 360° = 128.6°.
- Answer: 128.6°
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.
Every free resource for Sampling in Context Techniques
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 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, Working with Sampling. 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 Sampling in Context Techniques?
- Move on to Sampling in Context Word Problems, Sampling in Context Common Errors, Introducing Sampling, Working with Sampling, which build directly on this idea.
Related resources
Stuck on Sampling in Context Techniques? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor