Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Mastery Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Essentials: Visual Models — Mastery: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: visual models — mastery
Explain working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — mastery
Calculate working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — mastery
Compare working with introducing sampling essentials: visual models — mastery accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models — mastery
Justify working with introducing sampling essentials: visual models — mastery 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: Visual Models — Mastery 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 6, Blue 11, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 3, Blue 6, Green 5, Yellow 15. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 4, Blue 9, Green 2, Yellow 8. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 9, Blue 11, Green 6, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 3, Blue 8, Green 2, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 11, Green 10, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 8, Blue 2, Green 15, Yellow 5. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 3, Blue 14, Green 10, Yellow 12. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 10, Blue 4, Green 11, Yellow 7. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 13, Blue 4, Green 5, Yellow 10. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 14, Green 10, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 2, Blue 2, Green 12, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 129.2°
Total = 39. Yellow fraction = 14/39. 14/39 × 360° = 129.2°.
2. 186.2°
Total = 29. Yellow fraction = 15/29. 15/29 × 360° = 186.2°.
3. 62.6°
Total = 23. Red fraction = 4/23. 4/23 × 360° = 62.6°.
4. 113.1°
Total = 35. Blue fraction = 11/35. 11/35 × 360° = 113.1°.
5. 126°
Total = 20. Yellow fraction = 7/20. 7/20 × 360° = 126°.
6. 132°
Total = 30. Blue fraction = 11/30. 11/30 × 360° = 132°.
7. 96°
Total = 30. Red fraction = 8/30. 8/30 × 360° = 96°.
8. 92.3°
Total = 39. Green fraction = 10/39. 10/39 × 360° = 92.3°.
9. 112.5°
Total = 32. Red fraction = 10/32. 10/32 × 360° = 112.5°.
10. 146.3°
Total = 32. Red fraction = 13/32. 13/32 × 360° = 146.3°.
11. 20°
Total = 36. Yellow fraction = 2/36. 2/36 × 360° = 20°.
12. 31.3°
Total = 23. Blue fraction = 2/23. 2/23 × 360° = 31.3°.
Worked examples
In a survey: Red 11, Blue 5, Green 6, Yellow 13. In a pie chart, what angle does Green get?
- Total = 35.
- Green fraction = 6/35.
- 6/35 × 360° = 61.7°.
- Answer: 61.7°
In a survey: Red 4, Blue 4, Green 12, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 14/34.
- 14/34 × 360° = 148.2°.
- Answer: 148.2°
In a survey: Red 9, Blue 9, Green 15, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow 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 Working with Introducing Sampling Essentials: Visual Models — Mastery quiz really free?
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- What should a learner already know before this?
- Start with Working with Introducing Sampling Essentials: Visual Models — Reasoning, Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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