Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Application Flashcards
Free Grade 3 flashcards 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
Core
20 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 6, Blue 9, Green 13, Yellow 7. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 4, Blue 14, Green 13, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 8, Blue 14, Green 15, Yellow 5. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 13, Blue 15, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 11, Blue 13, Green 10, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 11, Blue 5, Green 4, Yellow 13. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 2, Blue 11, Green 8, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 2, Blue 14, Green 2, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 2, Blue 4, Green 5, Yellow 8. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 6, Blue 15, Green 8, Yellow 8. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 14, Blue 12, Green 15, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 15, Blue 7, Green 7, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 61.7°
Total = 35. Red fraction = 6/35. 6/35 × 360° = 61.7°.
2. 129.2°
Total = 39. Blue fraction = 14/39. 14/39 × 360° = 129.2°.
3. 128.6°
Total = 42. Green fraction = 15/42. 15/42 × 360° = 128.6°.
4. 114.9°
Total = 47. Blue fraction = 15/47. 15/47 × 360° = 114.9°.
5. 88°
Total = 45. Yellow fraction = 11/45. 11/45 × 360° = 88°.
6. 43.6°
Total = 33. Green fraction = 4/33. 4/33 × 360° = 43.6°.
7. 116.5°
Total = 34. Blue fraction = 11/34. 11/34 × 360° = 116.5°.
8. 210°
Total = 24. Blue fraction = 14/24. 14/24 × 360° = 210°.
9. 94.7°
Total = 19. Green fraction = 5/19. 5/19 × 360° = 94.7°.
10. 58.4°
Total = 37. Red fraction = 6/37. 6/37 × 360° = 58.4°.
11. 78.5°
Total = 55. Blue fraction = 12/55. 12/55 × 360° = 78.5°.
12. 70°
Total = 36. Blue fraction = 7/36. 7/36 × 360° = 70°.
Worked examples
In a survey: Red 9, Blue 12, Green 14, Yellow 4. In a pie chart, what angle does Blue get?
- Total = 39.
- Blue fraction = 12/39.
- 12/39 × 360° = 110.8°.
- Answer: 110.8°
In a survey: Red 4, Blue 10, Green 6, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 30.
- Yellow fraction = 10/30.
- 10/30 × 360° = 120°.
- Answer: 120°
In a survey: Red 9, Blue 7, Green 13, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 7/34.
- 7/34 × 360° = 74.1°.
- Answer: 74.1°
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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- Start with Working with Introducing Sampling Techniques: Visual Models — Understanding, Working with Introducing Sampling Techniques: Visual Models — Recognition, Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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