Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Understanding Quizzes
Free Grade 3 quizzes 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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Stretch
35 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 14, Blue 15, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 14, Blue 10, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 4, Blue 10, Green 6, Yellow 13. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 13, Blue 6, Green 7, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 8, Blue 4, Green 14, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 5, Blue 12, Green 6, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 10, Blue 14, Green 11, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 12, Blue 3, Green 9, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 9, Green 13, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 5, Blue 5, Green 11, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 6, Blue 2, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 11, Green 8, Yellow 15. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 78.5°
Total = 55. Yellow fraction = 12/55. 12/55 × 360° = 78.5°.
2. 107.2°
Total = 47. Yellow fraction = 14/47. 14/47 × 360° = 107.2°.
3. 65.5°
Total = 33. Green fraction = 6/33. 6/33 × 360° = 65.5°.
4. 77.1°
Total = 28. Blue fraction = 6/28. 6/28 × 360° = 77.1°.
5. 80°
Total = 36. Red fraction = 8/36. 8/36 × 360° = 80°.
6. 136.2°
Total = 37. Yellow fraction = 14/37. 14/37 × 360° = 136.2°.
7. 109.6°
Total = 46. Blue fraction = 14/46. 14/46 × 360° = 109.6°.
8. 81.3°
Total = 31. Yellow fraction = 7/31. 7/31 × 360° = 81.3°.
9. 68.9°
Total = 47. Blue fraction = 9/47. 9/47 × 360° = 68.9°.
10. 78.3°
Total = 23. Blue fraction = 5/23. 5/23 × 360° = 78.3°.
11. 163.6°
Total = 33. Yellow fraction = 15/33. 15/33 × 360° = 163.6°.
12. 77.8°
Total = 37. Green fraction = 8/37. 8/37 × 360° = 77.8°.
Worked examples
In a survey: Red 15, Blue 5, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 8/42.
- 8/42 × 360° = 68.6°.
- Answer: 68.6°
In a survey: Red 12, Blue 9, Green 11, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 10/42.
- 10/42 × 360° = 85.7°.
- Answer: 85.7°
In a survey: Red 11, Blue 14, Green 13, Yellow 11. In a pie chart, what angle does Blue get?
- Total = 49.
- Blue fraction = 14/49.
- 14/49 × 360° = 102.9°.
- Answer: 102.9°
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
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