Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Application Lessons
Free Grade 3 lessons 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
25 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 13, Blue 13, Green 14, Yellow 3. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 9, Blue 2, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 7, Blue 3, Green 15, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 15, Blue 4, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 14, Blue 12, Green 14, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 5, Blue 9, Green 13, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 13, Green 2, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 6, Blue 4, Green 6, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 8, Blue 8, Green 12, Yellow 7. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 12, Blue 7, Green 8, Yellow 9. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 4, Green 6, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 15, Green 6, Yellow 5. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 108.8°
Total = 43. Red fraction = 13/43. 13/43 × 360° = 108.8°.
2. 24.8°
Total = 29. Blue fraction = 2/29. 2/29 × 360° = 24.8°.
3. 180°
Total = 30. Green fraction = 15/30. 15/30 × 360° = 180°.
4. 30°
Total = 36. Yellow fraction = 3/36. 3/36 × 360° = 30°.
5. 80°
Total = 54. Blue fraction = 12/54. 12/54 × 360° = 80°.
6. 104.2°
Total = 38. Yellow fraction = 11/38. 11/38 × 360° = 104.2°.
7. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
8. 80°
Total = 18. Blue fraction = 4/18. 4/18 × 360° = 80°.
9. 123.4°
Total = 35. Green fraction = 12/35. 12/35 × 360° = 123.4°.
10. 120°
Total = 36. Red fraction = 12/36. 12/36 × 360° = 120°.
11. 80°
Total = 27. Green fraction = 6/27. 6/27 × 360° = 80°.
12. 135°
Total = 40. Blue fraction = 15/40. 15/40 × 360° = 135°.
Worked examples
In a survey: Red 15, Blue 12, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 50.
- Yellow fraction = 12/50.
- 12/50 × 360° = 86.4°.
- Answer: 86.4°
In a survey: Red 5, Blue 15, Green 5, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 14/39.
- 14/39 × 360° = 129.2°.
- Answer: 129.2°
In a survey: Red 9, Blue 5, Green 10, Yellow 8. In a pie chart, what angle does Green get?
- Total = 32.
- Green fraction = 10/32.
- 10/32 × 360° = 112.5°.
- Answer: 112.5°
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
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