Free Grade 3 Introducing Sampling Techniques Quizzes
Free Grade 3 quizzes for Introducing Sampling 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
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sampling techniques
Explain introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sampling techniques
Calculate introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sampling techniques
Compare introducing sampling techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sampling techniques
Justify introducing sampling 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 Introducing Sampling 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 6, Green 14, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 5, Blue 13, Green 8, Yellow 5. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 9, Blue 9, Green 2, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 5, Blue 11, Green 3, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 15, Blue 11, Green 8, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 9, Blue 6, Green 3, Yellow 12. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 5, Blue 5, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 14, Green 13, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 9, Blue 7, Green 12, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 9, Blue 13, Green 3, Yellow 15. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 5, Green 10, Yellow 8. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 9, Blue 3, Green 3, Yellow 15. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 53.3°
Total = 27. Red fraction = 4/27. 4/27 × 360° = 53.3°.
2. 58.1°
Total = 31. Red fraction = 5/31. 5/31 × 360° = 58.1°.
3. 28.8°
Total = 25. Green fraction = 2/25. 2/25 × 360° = 28.8°.
4. 141.4°
Total = 28. Blue fraction = 11/28. 11/28 × 360° = 141.4°.
5. 86.1°
Total = 46. Blue fraction = 11/46. 11/46 × 360° = 86.1°.
6. 36°
Total = 30. Green fraction = 3/30. 3/30 × 360° = 36°.
7. 60°
Total = 30. Blue fraction = 5/30. 5/30 × 360° = 60°.
8. 114.5°
Total = 44. Blue fraction = 14/44. 14/44 × 360° = 114.5°.
9. 68.1°
Total = 37. Blue fraction = 7/37. 7/37 × 360° = 68.1°.
10. 27°
Total = 40. Green fraction = 3/40. 3/40 × 360° = 27°.
11. 112.5°
Total = 32. Green fraction = 10/32. 10/32 × 360° = 112.5°.
12. 108°
Total = 30. Red fraction = 9/30. 9/30 × 360° = 108°.
Worked examples
In a survey: Red 4, Blue 5, Green 15, Yellow 11. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 4/35.
- 4/35 × 360° = 41.1°.
- Answer: 41.1°
In a survey: Red 14, Blue 2, Green 2, Yellow 4. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 14/22.
- 14/22 × 360° = 229.1°.
- Answer: 229.1°
In a survey: Red 11, Blue 10, Green 4, Yellow 12. In a pie chart, what angle does Green get?
- Total = 37.
- Green fraction = 4/37.
- 4/37 × 360° = 38.9°.
- Answer: 38.9°
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 Introducing Sampling Techniques 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 Essentials, Data Presentation. 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 Introducing Sampling Techniques?
- Move on to Introducing Sampling Word Problems, Introducing Sampling Common Errors, Working with Sampling, Sampling in Context, which build directly on this idea.
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