Free Grade 3 Sampling in Context Flashcards
Free Grade 3 flashcards for Sampling in Context: 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
Foundation
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context
Explain sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context
Calculate sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context
Compare sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context
Justify sampling in context 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 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 7, Blue 14, Green 5, Yellow 5. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 10, Green 8, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 8, Green 9, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 10, Blue 15, Green 9, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 7, Blue 13, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 8, Blue 3, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 15, Green 2, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 14, Blue 9, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 8, Blue 12, Green 6, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 13, Blue 13, Green 7, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 14, Blue 8, Green 7, Yellow 15. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 10, Blue 15, Green 7, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 81.3°
Total = 31. Red fraction = 7/31. 7/31 × 360° = 81.3°.
2. 31.8°
Total = 34. Yellow fraction = 3/34. 3/34 × 360° = 31.8°.
3. 116.5°
Total = 34. Yellow fraction = 11/34. 11/34 × 360° = 116.5°.
4. 114.9°
Total = 47. Blue fraction = 15/47. 15/47 × 360° = 114.9°.
5. 108°
Total = 40. Yellow fraction = 12/40. 12/40 × 360° = 108°.
6. 37.2°
Total = 29. Blue fraction = 3/29. 3/29 × 360° = 37.2°.
7. 158.8°
Total = 34. Blue fraction = 15/34. 15/34 × 360° = 158.8°.
8. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
9. 52.7°
Total = 41. Green fraction = 6/41. 6/41 × 360° = 52.7°.
10. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
11. 65.5°
Total = 44. Blue fraction = 8/44. 8/44 × 360° = 65.5°.
12. 145.9°
Total = 37. Blue fraction = 15/37. 15/37 × 360° = 145.9°.
Worked examples
In a survey: Red 6, Blue 10, Green 5, Yellow 13. In a pie chart, what angle does Green get?
- Total = 34.
- Green fraction = 5/34.
- 5/34 × 360° = 52.9°.
- Answer: 52.9°
In a survey: Red 15, Blue 11, Green 12, Yellow 7. In a pie chart, what angle does Red get?
- Total = 45.
- Red fraction = 15/45.
- 15/45 × 360° = 120°.
- Answer: 120°
In a survey: Red 3, Blue 2, Green 10, Yellow 2. In a pie chart, what angle does Green get?
- Total = 17.
- Green fraction = 10/17.
- 10/17 × 360° = 211.8°.
- Answer: 211.8°
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
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Frequently asked
- Is this Grade 3 Sampling in Context flashcards really free?
- Yes. Every flashcards 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 Working with Sampling, Introducing Sampling, Data Presentation. Each one has its own free lesson, worksheet and quiz.
- How is the flashcards 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?
- Move on to Questionnaires, Bias, which build directly on this idea.
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