Free Grade 3 Rules and Methods in Sampling in Context Essentials Quizzes
Free Grade 3 quizzes for Rules and Methods in Sampling in Context 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in sampling in context essentials
Identify rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in sampling in context essentials
Explain rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in sampling in context essentials
Calculate rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in sampling in context essentials
Compare rules and methods in sampling in context 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 Rules and Methods in Sampling in Context 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 13, Blue 15, Green 10, Yellow 12. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 9, Green 13, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 7, Blue 6, Green 6, Yellow 2. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 11, Blue 11, Green 12, Yellow 12. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 15, Blue 7, Green 3, Yellow 11. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 4, Green 5, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 14, Blue 11, Green 3, Yellow 5. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 10, Blue 10, Green 4, Yellow 8. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 11, Green 11, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 8, Blue 9, Green 8, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 11, Green 15, Yellow 10. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 3, Blue 10, Green 12, Yellow 5. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 93.6°
Total = 50. Red fraction = 13/50. 13/50 × 360° = 93.6°.
2. 77.1°
Total = 42. Blue fraction = 9/42. 9/42 × 360° = 77.1°.
3. 120°
Total = 21. Red fraction = 7/21. 7/21 × 360° = 120°.
4. 93.9°
Total = 46. Green fraction = 12/46. 12/46 × 360° = 93.9°.
5. 30°
Total = 36. Green fraction = 3/36. 3/36 × 360° = 30°.
6. 64.3°
Total = 28. Green fraction = 5/28. 5/28 × 360° = 64.3°.
7. 32.7°
Total = 33. Green fraction = 3/33. 3/33 × 360° = 32.7°.
8. 112.5°
Total = 32. Red fraction = 10/32. 10/32 × 360° = 112.5°.
9. 19.5°
Total = 37. Yellow fraction = 2/37. 2/37 × 360° = 19.5°.
10. 87.3°
Total = 33. Yellow fraction = 8/33. 8/33 × 360° = 87.3°.
11. 95.5°
Total = 49. Red fraction = 13/49. 13/49 × 360° = 95.5°.
12. 144°
Total = 30. Green fraction = 12/30. 12/30 × 360° = 144°.
Worked examples
In a survey: Red 13, Blue 3, Green 4, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 26.
- Blue fraction = 3/26.
- 3/26 × 360° = 41.5°.
- Answer: 41.5°
In a survey: Red 10, Blue 7, Green 4, Yellow 5. In a pie chart, what angle does Red get?
- Total = 26.
- Red fraction = 10/26.
- 10/26 × 360° = 138.5°.
- Answer: 138.5°
In a survey: Red 9, Blue 14, Green 4, Yellow 5. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 5/32.
- 5/32 × 360° = 56.3°.
- Answer: 56.3°
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 Rules and Methods in Sampling in Context 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 Key Vocabulary of Sampling in Context Essentials, Introduction to Sampling in Context Essentials, Working with 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 Rules and Methods in Sampling in Context Essentials?
- Move on to Working with Sampling in Context Essentials, Sampling in Context Essentials in Examinations, Sampling in Context Techniques, Sampling in Context Word Problems, which build directly on this idea.
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