Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Application Lessons
Free Grade 3 lessons for Working with Introducing Sampling Techniques: 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: visual models — application
Identify working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — application
Explain working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — application
Calculate working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — application
Compare working with introducing sampling techniques: 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 Techniques: 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 11, Blue 2, Green 6, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 12, Blue 14, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 11, Green 15, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 8, Green 4, Yellow 13. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 3, Blue 15, Green 7, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 11, Blue 10, Green 8, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 12, Blue 10, Green 13, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 3, Blue 14, Green 12, Yellow 15. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 12, Blue 10, Green 9, Yellow 14. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 6, Blue 14, Green 7, Yellow 13. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 8, Blue 15, Green 11, Yellow 10. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 3, Blue 15, Green 13, Yellow 12. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 62.6°
Total = 23. Yellow fraction = 4/23. 4/23 × 360° = 62.6°.
2. 136.2°
Total = 37. Blue fraction = 14/37. 14/37 × 360° = 136.2°.
3. 64.8°
Total = 50. Yellow fraction = 9/50. 9/50 × 360° = 64.8°.
4. 38.9°
Total = 37. Green fraction = 4/37. 4/37 × 360° = 38.9°.
5. 26.7°
Total = 27. Yellow fraction = 2/27. 2/27 × 360° = 26.7°.
6. 72°
Total = 40. Green fraction = 8/40. 8/40 × 360° = 72°.
7. 67°
Total = 43. Yellow fraction = 8/43. 8/43 × 360° = 67°.
8. 98.2°
Total = 44. Green fraction = 12/44. 12/44 × 360° = 98.2°.
9. 72°
Total = 45. Green fraction = 9/45. 9/45 × 360° = 72°.
10. 63°
Total = 40. Green fraction = 7/40. 7/40 × 360° = 63°.
11. 81.8°
Total = 44. Yellow fraction = 10/44. 10/44 × 360° = 81.8°.
12. 100.5°
Total = 43. Yellow fraction = 12/43. 12/43 × 360° = 100.5°.
Worked examples
In a survey: Red 13, Blue 3, Green 8, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 12/36.
- 12/36 × 360° = 120°.
- Answer: 120°
In a survey: Red 15, Blue 6, Green 12, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 6/39.
- 6/39 × 360° = 55.4°.
- Answer: 55.4°
In a survey: Red 5, Blue 4, Green 7, Yellow 6. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 5/22.
- 5/22 × 360° = 81.8°.
- Answer: 81.8°
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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