Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding Flashcards
Free Grade 3 flashcards for Working with Introducing Sampling Essentials: Visual Models — Understanding: 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°.
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30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: visual models — understanding
Identify working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — understanding
Explain working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — understanding
Calculate working with introducing sampling essentials: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — understanding
Compare working with introducing sampling essentials: visual models — understanding 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 — Understanding 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 10, Green 14, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 11, Blue 5, Green 3, Yellow 14. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 7, Blue 3, Green 15, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 2, Blue 13, Green 8, Yellow 6. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 15, Green 4, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 4, Blue 11, Green 11, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 7, Green 8, Yellow 14. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 14, Blue 12, Green 4, Yellow 4. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 13, Blue 8, Green 9, Yellow 4. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 12, Blue 8, Green 5, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 4, Blue 14, Green 9, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 11, Blue 5, Green 5, Yellow 2. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 132.6°
Total = 38. Green fraction = 14/38. 14/38 × 360° = 132.6°.
2. 120°
Total = 33. Red fraction = 11/33. 11/33 × 360° = 120°.
3. 110°
Total = 36. Yellow fraction = 11/36. 11/36 × 360° = 110°.
4. 99.3°
Total = 29. Green fraction = 8/29. 8/29 × 360° = 99.3°.
5. 93.9°
Total = 46. Red fraction = 12/46. 12/46 × 360° = 93.9°.
6. 132°
Total = 30. Blue fraction = 11/30. 11/30 × 360° = 132°.
7. 99°
Total = 40. Red fraction = 11/40. 11/40 × 360° = 99°.
8. 42.4°
Total = 34. Green fraction = 4/34. 4/34 × 360° = 42.4°.
9. 84.7°
Total = 34. Blue fraction = 8/34. 8/34 × 360° = 84.7°.
10. 80°
Total = 36. Blue fraction = 8/36. 8/36 × 360° = 80°.
11. 85.3°
Total = 38. Green fraction = 9/38. 9/38 × 360° = 85.3°.
12. 172.2°
Total = 23. Red fraction = 11/23. 11/23 × 360° = 172.2°.
Worked examples
In a survey: Red 4, Blue 9, Green 6, Yellow 6. In a pie chart, what angle does Red get?
- Total = 25.
- Red fraction = 4/25.
- 4/25 × 360° = 57.6°.
- Answer: 57.6°
In a survey: Red 3, Blue 12, Green 6, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 12/28.
- 12/28 × 360° = 154.3°.
- Answer: 154.3°
In a survey: Red 6, Blue 15, Green 3, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 30.
- Blue fraction = 15/30.
- 15/30 × 360° = 180°.
- Answer: 180°
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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