Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Application Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: step-by-step method — application
Identify working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — application
Explain working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — application
Calculate working with introducing sampling essentials: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — application
Compare working with introducing sampling essentials: 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 Essentials: 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 8, Blue 10, Green 13, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 15, Blue 13, Green 5, Yellow 4. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 11, Green 12, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 10, Blue 5, Green 4, Yellow 14. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 15, Blue 15, Green 15, Yellow 5. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 6, Blue 15, Green 15, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 14, Blue 11, Green 13, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 14, Blue 3, Green 11, Yellow 4. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 15, Blue 10, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 9, Blue 9, Green 15, Yellow 6. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 12, Blue 5, Green 15, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 15, Blue 4, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 105.9°
Total = 34. Blue fraction = 10/34. 10/34 × 360° = 105.9°.
2. 145.9°
Total = 37. Red fraction = 15/37. 15/37 × 360° = 145.9°.
3. 74.1°
Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.
4. 43.6°
Total = 33. Green fraction = 4/33. 4/33 × 360° = 43.6°.
5. 108°
Total = 50. Green fraction = 15/50. 15/50 × 360° = 108°.
6. 142.1°
Total = 38. Blue fraction = 15/38. 15/38 × 360° = 142.1°.
7. 88°
Total = 45. Blue fraction = 11/45. 11/45 × 360° = 88°.
8. 123.8°
Total = 32. Green fraction = 11/32. 11/32 × 360° = 123.8°.
9. 84.7°
Total = 51. Yellow fraction = 12/51. 12/51 × 360° = 84.7°.
10. 138.5°
Total = 39. Green fraction = 15/39. 15/39 × 360° = 138.5°.
11. 109.6°
Total = 46. Yellow fraction = 14/46. 14/46 × 360° = 109.6°.
12. 41.1°
Total = 35. Blue fraction = 4/35. 4/35 × 360° = 41.1°.
Worked examples
In a survey: Red 11, Blue 15, Green 7, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 40.
- Yellow fraction = 7/40.
- 7/40 × 360° = 63°.
- Answer: 63°
In a survey: Red 6, Blue 8, Green 14, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 37.
- Blue fraction = 8/37.
- 8/37 × 360° = 77.8°.
- Answer: 77.8°
In a survey: Red 9, Blue 2, Green 15, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 2/34.
- 2/34 × 360° = 21.2°.
- Answer: 21.2°
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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