Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Application Worksheets
Free Grade 3 worksheets 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
30 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 4, Blue 15, Green 8, Yellow 3. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 14, Blue 12, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 10, Blue 7, Green 13, Yellow 9. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 4, Blue 6, Green 11, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 7, Blue 6, Green 12, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 10, Blue 10, Green 6, Yellow 10. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 5, Blue 6, Green 7, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 14, Blue 11, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 11, Blue 6, Green 10, Yellow 15. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 5, Blue 11, Green 8, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 4, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 10, Blue 8, Green 3, Yellow 14. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 96°
Total = 30. Green fraction = 8/30. 8/30 × 360° = 96°.
2. 93.9°
Total = 46. Blue fraction = 12/46. 12/46 × 360° = 93.9°.
3. 120°
Total = 39. Green fraction = 13/39. 13/39 × 360° = 120°.
4. 99.3°
Total = 29. Yellow fraction = 8/29. 8/29 × 360° = 99.3°.
5. 76.4°
Total = 33. Red fraction = 7/33. 7/33 × 360° = 76.4°.
6. 100°
Total = 36. Red fraction = 10/36. 10/36 × 360° = 100°.
7. 163.6°
Total = 33. Yellow fraction = 15/33. 15/33 × 360° = 163.6°.
8. 26.3°
Total = 41. Yellow fraction = 3/41. 3/41 × 360° = 26.3°.
9. 85.7°
Total = 42. Green fraction = 10/42. 10/42 × 360° = 85.7°.
10. 120°
Total = 33. Blue fraction = 11/33. 11/33 × 360° = 120°.
11. 36°
Total = 20. Yellow fraction = 2/20. 2/20 × 360° = 36°.
12. 30.9°
Total = 35. Green fraction = 3/35. 3/35 × 360° = 30.9°.
Worked examples
In a survey: Red 4, Blue 5, Green 4, Yellow 15. In a pie chart, what angle does Red get?
- Total = 28.
- Red fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 15, Blue 4, Green 10, Yellow 2. In a pie chart, what angle does Blue get?
- Total = 31.
- Blue fraction = 4/31.
- 4/31 × 360° = 46.5°.
- Answer: 46.5°
In a survey: Red 13, Blue 2, Green 8, Yellow 6. In a pie chart, what angle does Green get?
- Total = 29.
- Green fraction = 8/29.
- 8/29 × 360° = 99.3°.
- Answer: 99.3°
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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