Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Application Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: Visual Models — Application: 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
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 — application
Identify working with introducing sampling essentials: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — application
Explain working with introducing sampling essentials: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — application
Calculate working with introducing sampling essentials: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — application
Compare working with introducing sampling essentials: visual models — application 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 — Application 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 2, Blue 5, Green 11, Yellow 10. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 6, Blue 12, Green 3, Yellow 6. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 6, Blue 6, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 9, Green 15, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 4, Blue 15, Green 7, Yellow 14. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 5, Blue 11, Green 13, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 6, Blue 6, Green 4, Yellow 2. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 5, Blue 12, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 3, Blue 5, Green 9, Yellow 8. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 4, Green 3, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 3, Blue 15, Green 11, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 5, Blue 2, Green 10, Yellow 6. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 141.4°
Total = 28. Green fraction = 11/28. 11/28 × 360° = 141.4°.
2. 80°
Total = 27. Yellow fraction = 6/27. 6/27 × 360° = 80°.
3. 111.7°
Total = 29. Yellow fraction = 9/29. 9/29 × 360° = 111.7°.
4. 18.9°
Total = 38. Yellow fraction = 2/38. 2/38 × 360° = 18.9°.
5. 63°
Total = 40. Green fraction = 7/40. 7/40 × 360° = 63°.
6. 92.1°
Total = 43. Blue fraction = 11/43. 11/43 × 360° = 92.1°.
7. 80°
Total = 18. Green fraction = 4/18. 4/18 × 360° = 80°.
8. 124.1°
Total = 29. Yellow fraction = 10/29. 10/29 × 360° = 124.1°.
9. 129.6°
Total = 25. Green fraction = 9/25. 9/25 × 360° = 129.6°.
10. 75.8°
Total = 19. Blue fraction = 4/19. 4/19 × 360° = 75.8°.
11. 145.9°
Total = 37. Blue fraction = 15/37. 15/37 × 360° = 145.9°.
12. 93.9°
Total = 23. Yellow fraction = 6/23. 6/23 × 360° = 93.9°.
Worked examples
In a survey: Red 4, Blue 14, Green 14, Yellow 14. In a pie chart, what angle does Green get?
- Total = 46.
- Green fraction = 14/46.
- 14/46 × 360° = 109.6°.
- Answer: 109.6°
In a survey: Red 13, Blue 15, Green 7, Yellow 6. In a pie chart, what angle does Green get?
- Total = 41.
- Green fraction = 7/41.
- 7/41 × 360° = 61.5°.
- Answer: 61.5°
In a survey: Red 14, Blue 7, Green 14, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 44.
- Yellow fraction = 9/44.
- 9/44 × 360° = 73.6°.
- Answer: 73.6°
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.
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