Free Grade 3 Working with Introducing Sampling Techniques: Step-by-step Method — Application Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Techniques: Step-by-step Method — 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: step-by-step method — application
Identify working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: step-by-step method — application
Explain working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: step-by-step method — application
Calculate working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: step-by-step method — application
Compare working with introducing sampling techniques: step-by-step method — 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: Step-by-step Method — 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 10, Green 2, Yellow 6. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 2, Blue 6, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 12, Green 8, Yellow 7. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 7, Green 4, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 13, Green 10, Yellow 7. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 14, Blue 12, Green 11, Yellow 15. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 9, Blue 11, Green 14, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 9, Blue 11, Green 15, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 15, Green 13, Yellow 13. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 3, Blue 5, Green 12, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 15, Blue 3, Green 14, Yellow 15. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 9, Blue 14, Green 5, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 36°
Total = 20. Green fraction = 2/20. 2/20 × 360° = 36°.
2. 32.7°
Total = 22. Yellow fraction = 2/22. 2/22 × 360° = 32.7°.
3. 75.8°
Total = 38. Green fraction = 8/38. 8/38 × 360° = 75.8°.
4. 105°
Total = 24. Blue fraction = 7/24. 7/24 × 360° = 105°.
5. 42.4°
Total = 34. Red fraction = 4/34. 4/34 × 360° = 42.4°.
6. 96.9°
Total = 52. Red fraction = 14/52. 14/52 × 360° = 96.9°.
7. 61.5°
Total = 41. Yellow fraction = 7/41. 7/41 × 360° = 61.5°.
8. 86.1°
Total = 46. Blue fraction = 11/46. 11/46 × 360° = 86.1°.
9. 90°
Total = 52. Yellow fraction = 13/52. 13/52 × 360° = 90°.
10. 32.7°
Total = 22. Yellow fraction = 2/22. 2/22 × 360° = 32.7°.
11. 114.9°
Total = 47. Red fraction = 15/47. 15/47 × 360° = 114.9°.
12. 51.4°
Total = 35. Green fraction = 5/35. 5/35 × 360° = 51.4°.
Worked examples
In a survey: Red 5, Blue 4, Green 14, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 28.
- Blue fraction = 4/28.
- 4/28 × 360° = 51.4°.
- Answer: 51.4°
In a survey: Red 11, Blue 9, Green 3, Yellow 9. In a pie chart, what angle does Red get?
- Total = 32.
- Red fraction = 11/32.
- 11/32 × 360° = 123.8°.
- Answer: 123.8°
In a survey: Red 13, Blue 11, Green 14, Yellow 4. In a pie chart, what angle does Red get?
- Total = 42.
- Red fraction = 13/42.
- 13/42 × 360° = 111.4°.
- Answer: 111.4°
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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