Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Mastery Flashcards
Free Grade 3 flashcards 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
20 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 7, Blue 6, Green 8, Yellow 5. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 10, Blue 11, Green 12, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 4, Green 12, Yellow 13. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 3, Blue 4, Green 6, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 2, Blue 14, Green 9, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 8, Green 13, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 9, Blue 4, Green 8, Yellow 5. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 2, Green 12, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 14, Blue 14, Green 11, Yellow 12. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 5, Green 4, Yellow 15. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 9, Blue 11, Green 12, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 9, Green 15, Yellow 5. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 96.9°
Total = 26. Red fraction = 7/26. 7/26 × 360° = 96.9°.
2. 30°
Total = 36. Yellow fraction = 3/36. 3/36 × 360° = 30°.
3. 120°
Total = 36. Green fraction = 12/36. 12/36 × 360° = 120°.
4. 60°
Total = 24. Blue fraction = 4/24. 4/24 × 360° = 60°.
5. 69.7°
Total = 31. Yellow fraction = 6/31. 6/31 × 360° = 69.7°.
6. 107°
Total = 37. Yellow fraction = 11/37. 11/37 × 360° = 107°.
7. 124.6°
Total = 26. Red fraction = 9/26. 9/26 × 360° = 124.6°.
8. 87.6°
Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.
9. 77.6°
Total = 51. Green fraction = 11/51. 11/51 × 360° = 77.6°.
10. 42.4°
Total = 34. Green fraction = 4/34. 4/34 × 360° = 42.4°.
11. 88°
Total = 45. Blue fraction = 11/45. 11/45 × 360° = 88°.
12. 33.8°
Total = 32. Red fraction = 3/32. 3/32 × 360° = 33.8°.
Worked examples
In a survey: Red 10, Blue 6, Green 10, Yellow 14. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 10/40.
- 10/40 × 360° = 90°.
- Answer: 90°
In a survey: Red 6, Blue 8, Green 15, Yellow 6. In a pie chart, what angle does Red get?
- Total = 35.
- Red fraction = 6/35.
- 6/35 × 360° = 61.7°.
- Answer: 61.7°
In a survey: Red 6, Blue 9, Green 10, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 31.
- Blue fraction = 9/31.
- 9/31 × 360° = 104.5°.
- Answer: 104.5°
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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- 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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