Free Grade 3 Working with Sampling Word Problems Quizzes
Free Grade 3 quizzes for Working with Sampling Word Problems: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling word problems
Explain working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling word problems
Calculate working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling word problems
Compare working with sampling word problems accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling word problems
Justify working with sampling word problems 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 Word Problems 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 2, Blue 2, Green 9, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 9, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 12, Blue 2, Green 7, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 10, Blue 5, Green 2, Yellow 11. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 6, Blue 5, Green 15, Yellow 3. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 12, Blue 11, Green 2, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 4, Blue 12, Green 7, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 12, Blue 4, Green 11, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 2, Blue 9, Green 5, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 10, Green 9, Yellow 2. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 5, Blue 5, Green 11, Yellow 4. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 8, Green 3, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 32.7°
Total = 22. Blue fraction = 2/22. 2/22 × 360° = 32.7°.
2. 94.7°
Total = 38. Yellow fraction = 10/38. 10/38 × 360° = 94.7°.
3. 57.6°
Total = 25. Yellow fraction = 4/25. 4/25 × 360° = 57.6°.
4. 25.7°
Total = 28. Green fraction = 2/28. 2/28 × 360° = 25.7°.
5. 186.2°
Total = 29. Green fraction = 15/29. 15/29 × 360° = 186.2°.
6. 120°
Total = 33. Blue fraction = 11/33. 11/33 × 360° = 120°.
7. 172.8°
Total = 25. Blue fraction = 12/25. 12/25 × 360° = 172.8°.
8. 36°
Total = 40. Blue fraction = 4/40. 4/40 × 360° = 36°.
9. 161.4°
Total = 29. Yellow fraction = 13/29. 13/29 × 360° = 161.4°.
10. 129.6°
Total = 25. Green fraction = 9/25. 9/25 × 360° = 129.6°.
11. 57.6°
Total = 25. Yellow fraction = 4/25. 4/25 × 360° = 57.6°.
12. 110.8°
Total = 26. Blue fraction = 8/26. 8/26 × 360° = 110.8°.
Worked examples
In a survey: Red 10, Blue 10, Green 6, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 10/41.
- 10/41 × 360° = 87.8°.
- Answer: 87.8°
In a survey: Red 15, Blue 7, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 10/34.
- 10/34 × 360° = 105.9°.
- Answer: 105.9°
In a survey: Red 4, Blue 10, Green 2, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 27.
- Yellow fraction = 11/27.
- 11/27 × 360° = 146.7°.
- Answer: 146.7°
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 Word Problems quiz really free?
- Yes. Every quizzes 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 Techniques, Working with Sampling Essentials, Introducing Sampling. Each one has its own free lesson, worksheet and quiz.
- How is the quiz 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 Word Problems?
- Move on to Working with Sampling Common Errors, Introducing Sampling, Sampling in Context, which build directly on this idea.
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