Free Grade 3 Working with Sampling Essentials Flashcards
Free Grade 3 flashcards for Working with 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
Higher
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling essentials
Explain working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling essentials
Calculate working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling essentials
Compare working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling essentials
Justify working with 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 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 4, Green 13, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 9, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 6, Blue 10, Green 3, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 4, Blue 8, Green 15, Yellow 4. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 4, Blue 6, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 10, Blue 13, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 9, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 3, Blue 10, Green 9, Yellow 3. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 2, Blue 6, Green 6, Yellow 3. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 6, Blue 4, Green 12, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 2, Blue 14, Green 4, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 11, Blue 5, Green 10, Yellow 7. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 46.5°
Total = 31. Blue fraction = 4/31. 4/31 × 360° = 46.5°.
2. 92.6°
Total = 35. Blue fraction = 9/35. 9/35 × 360° = 92.6°.
3. 45°
Total = 24. Green fraction = 3/24. 3/24 × 360° = 45°.
4. 174.2°
Total = 31. Green fraction = 15/31. 15/31 × 360° = 174.2°.
5. 77.1°
Total = 28. Blue fraction = 6/28. 6/28 × 360° = 77.1°.
6. 100.5°
Total = 43. Yellow fraction = 12/43. 12/43 × 360° = 100.5°.
7. 104.5°
Total = 31. Blue fraction = 9/31. 9/31 × 360° = 104.5°.
8. 43.2°
Total = 25. Red fraction = 3/25. 3/25 × 360° = 43.2°.
9. 127.1°
Total = 17. Green fraction = 6/17. 6/17 × 360° = 127.1°.
10. 123.4°
Total = 35. Green fraction = 12/35. 12/35 × 360° = 123.4°.
11. 229.1°
Total = 22. Blue fraction = 14/22. 14/22 × 360° = 229.1°.
12. 120°
Total = 33. Red fraction = 11/33. 11/33 × 360° = 120°.
Worked examples
In a survey: Red 15, Blue 13, Green 14, Yellow 11. In a pie chart, what angle does Green get?
- Total = 53.
- Green fraction = 14/53.
- 14/53 × 360° = 95.1°.
- Answer: 95.1°
In a survey: Red 8, Blue 5, Green 15, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 5/33.
- 5/33 × 360° = 54.5°.
- Answer: 54.5°
In a survey: Red 8, Blue 5, Green 14, Yellow 8. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 8/35.
- 8/35 × 360° = 82.3°.
- Answer: 82.3°
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.
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Frequently asked
- Is this Grade 3 Working with Sampling Essentials 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 Introducing Sampling. 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 Working with Sampling Essentials?
- Move on to Working with Sampling Techniques, Working with Sampling Word Problems, Working with Sampling Common Errors, Introducing Sampling, which build directly on this idea.
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