Free Grade 3 Working with Sampling Essentials Quizzes
Free Grade 3 quizzes 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
30 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 12, Blue 10, Green 8, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 14, Blue 10, Green 3, Yellow 15. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 13, Blue 11, Green 15, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 11, Blue 2, Green 15, Yellow 8. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 15, Blue 13, Green 11, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 7, Blue 14, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 11, Green 2, Yellow 5. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 12, Blue 14, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 9, Blue 9, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 7, Green 2, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 11, Blue 5, Green 4, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 7, Green 2, Yellow 5. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 102.9°
Total = 35. Blue fraction = 10/35. 10/35 × 360° = 102.9°.
2. 25.7°
Total = 42. Green fraction = 3/42. 3/42 × 360° = 25.7°.
3. 111.4°
Total = 42. Red fraction = 13/42. 13/42 × 360° = 111.4°.
4. 150°
Total = 36. Green fraction = 15/36. 15/36 × 360° = 150°.
5. 40.9°
Total = 44. Yellow fraction = 5/44. 5/44 × 360° = 40.9°.
6. 38.9°
Total = 37. Yellow fraction = 4/37. 4/37 × 360° = 38.9°.
7. 78.3°
Total = 23. Red fraction = 5/23. 5/23 × 360° = 78.3°.
8. 136.2°
Total = 37. Blue fraction = 14/37. 14/37 × 360° = 136.2°.
9. 70.4°
Total = 46. Blue fraction = 9/46. 9/46 × 360° = 70.4°.
10. 146.7°
Total = 27. Red fraction = 11/27. 11/27 × 360° = 146.7°.
11. 41.1°
Total = 35. Green fraction = 4/35. 4/35 × 360° = 41.1°.
12. 75°
Total = 24. Yellow fraction = 5/24. 5/24 × 360° = 75°.
Worked examples
In a survey: Red 14, Blue 14, Green 9, Yellow 3. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 9/40.
- 9/40 × 360° = 81°.
- Answer: 81°
In a survey: Red 15, Blue 8, Green 12, Yellow 3. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 8/38.
- 8/38 × 360° = 75.8°.
- Answer: 75.8°
In a survey: Red 13, Blue 15, Green 7, Yellow 2. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 7/37.
- 7/37 × 360° = 68.1°.
- Answer: 68.1°
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 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 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 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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