Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Recognition Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Essentials: Step-by-step Method — Recognition: 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: step-by-step method — recognition
Explain working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — recognition
Calculate working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — recognition
Compare working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: step-by-step method — recognition
Justify working with introducing sampling essentials: step-by-step method — recognition 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 Introducing Sampling Essentials: Step-by-step Method — Recognition 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 15, Blue 10, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 9, Blue 3, Green 14, Yellow 15. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 7, Green 3, Yellow 4. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 7, Blue 15, Green 5, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 14, Blue 5, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 2, Blue 15, Green 2, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 8, Blue 7, Green 10, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 15, Blue 7, Green 9, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 14, Blue 14, Green 8, Yellow 7. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 14, Blue 9, Green 11, Yellow 15. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 12, Green 2, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 14, Blue 15, Green 10, Yellow 8. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 91.9°
Total = 47. Yellow fraction = 12/47. 12/47 × 360° = 91.9°.
2. 79°
Total = 41. Red fraction = 9/41. 9/41 × 360° = 79°.
3. 80°
Total = 18. Red fraction = 4/18. 4/18 × 360° = 80°.
4. 145.9°
Total = 37. Blue fraction = 15/37. 15/37 × 360° = 145.9°.
5. 83.1°
Total = 39. Yellow fraction = 9/39. 9/39 × 360° = 83.1°.
6. 86.4°
Total = 25. Yellow fraction = 6/25. 6/25 × 360° = 86.4°.
7. 86.9°
Total = 29. Blue fraction = 7/29. 7/29 × 360° = 86.9°.
8. 41.1°
Total = 35. Yellow fraction = 4/35. 4/35 × 360° = 41.1°.
9. 58.6°
Total = 43. Yellow fraction = 7/43. 7/43 × 360° = 58.6°.
10. 102.9°
Total = 49. Red fraction = 14/49. 14/49 × 360° = 102.9°.
11. 27.7°
Total = 26. Yellow fraction = 2/26. 2/26 × 360° = 27.7°.
12. 114.9°
Total = 47. Blue fraction = 15/47. 15/47 × 360° = 114.9°.
Worked examples
In a survey: Red 11, Blue 2, Green 6, Yellow 8. In a pie chart, what angle does Green get?
- Total = 27.
- Green fraction = 6/27.
- 6/27 × 360° = 80°.
- Answer: 80°
In a survey: Red 15, Blue 10, Green 2, Yellow 13. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 2/40.
- 2/40 × 360° = 18°.
- Answer: 18°
In a survey: Red 15, Blue 5, Green 14, Yellow 6. In a pie chart, what angle does Green get?
- Total = 40.
- Green fraction = 14/40.
- 14/40 × 360° = 126°.
- Answer: 126°
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 Introducing Sampling Essentials: Step-by-step Method — Recognition 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 What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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- What comes next after Working with Introducing Sampling Essentials: Step-by-step Method — Recognition?
- Move on to Working with Introducing Sampling Essentials: Step-by-step Method — Understanding, Working with Introducing Sampling Essentials: Step-by-step Method — Application, Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning, Working with Introducing Sampling Essentials: Step-by-step Method — Mastery, which build directly on this idea.
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