Free Grade 3 Working with Introducing Sampling Essentials: Visual Models Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Essentials: Visual Models: 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
30 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
Explain working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models
Calculate working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models
Compare working with introducing sampling essentials: visual models accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models
Justify working with introducing sampling essentials: visual models 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 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 8, Green 5, Yellow 10. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 6, Blue 10, Green 12, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 4, Blue 8, Green 7, Yellow 11. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 5, Blue 5, Green 12, Yellow 2. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 7, Blue 13, Green 7, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 11, Blue 12, Green 6, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 15, Blue 15, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 3, Blue 12, Green 6, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 6, Blue 5, Green 9, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 14, Blue 14, Green 15, Yellow 6. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 6, Blue 13, Green 5, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 8, Blue 4, Green 2, Yellow 3. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 136.2°
Total = 37. Red fraction = 14/37. 14/37 × 360° = 136.2°.
2. 102.9°
Total = 42. Green fraction = 12/42. 12/42 × 360° = 102.9°.
3. 132°
Total = 30. Yellow fraction = 11/30. 11/30 × 360° = 132°.
4. 75°
Total = 24. Red fraction = 5/24. 5/24 × 360° = 75°.
5. 24.8°
Total = 29. Yellow fraction = 2/29. 2/29 × 360° = 24.8°.
6. 116.8°
Total = 37. Blue fraction = 12/37. 12/37 × 360° = 116.8°.
7. 36°
Total = 40. Yellow fraction = 4/40. 4/40 × 360° = 36°.
8. 31.3°
Total = 23. Yellow fraction = 2/23. 2/23 × 360° = 31.3°.
9. 65.5°
Total = 33. Red fraction = 6/33. 6/33 × 360° = 65.5°.
10. 110.2°
Total = 49. Green fraction = 15/49. 15/49 × 360° = 110.2°.
11. 69.2°
Total = 26. Green fraction = 5/26. 5/26 × 360° = 69.2°.
12. 63.5°
Total = 17. Yellow fraction = 3/17. 3/17 × 360° = 63.5°.
Worked examples
In a survey: Red 8, Blue 9, Green 9, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 4/30.
- 4/30 × 360° = 48°.
- Answer: 48°
In a survey: Red 15, Blue 13, Green 7, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 7/42.
- 7/42 × 360° = 60°.
- Answer: 60°
In a survey: Red 4, Blue 10, Green 6, Yellow 9. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 4/29.
- 4/29 × 360° = 49.7°.
- Answer: 49.7°
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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Frequently asked
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- Start with Working with Introducing Sampling Essentials: Worked Examples, Working with Introducing Sampling Essentials: Step-by-step Method, Rules and Methods in Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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