Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Recognition Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: Step-by-step Method — Recognition: 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.
- UnderstandExplain working with introducing sampling essentials: step-by-step method — recognition
Explain working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — recognition
Calculate working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — recognition
Compare working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: step-by-step method — recognition
Justify working with introducing sampling essentials: step-by-step method — recognition 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 — Recognition 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 9, Blue 3, Green 12, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 15, Green 13, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 8, Blue 11, Green 5, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 2, Green 6, Yellow 10. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 6, Blue 7, Green 10, Yellow 15. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 7, Blue 8, Green 4, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 15, Blue 6, Green 11, Yellow 10. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 9, Blue 4, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 12, Green 14, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 8, Blue 10, Green 11, Yellow 11. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 14, Blue 14, Green 9, Yellow 10. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 13, Blue 13, Green 8, Yellow 8. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 32.7°
Total = 33. Blue fraction = 3/33. 3/33 × 360° = 32.7°.
2. 96.4°
Total = 56. Blue fraction = 15/56. 15/56 × 360° = 96.4°.
3. 51.4°
Total = 35. Green fraction = 5/35. 5/35 × 360° = 51.4°.
4. 100.8°
Total = 25. Red fraction = 7/25. 7/25 × 360° = 100.8°.
5. 56.8°
Total = 38. Red fraction = 6/38. 6/38 × 360° = 56.8°.
6. 92.9°
Total = 31. Blue fraction = 8/31. 8/31 × 360° = 92.9°.
7. 51.4°
Total = 42. Blue fraction = 6/42. 6/42 × 360° = 51.4°.
8. 49.7°
Total = 29. Blue fraction = 4/29. 4/29 × 360° = 49.7°.
9. 79.2°
Total = 50. Red fraction = 11/50. 11/50 × 360° = 79.2°.
10. 99°
Total = 40. Green fraction = 11/40. 11/40 × 360° = 99°.
11. 68.9°
Total = 47. Green fraction = 9/47. 9/47 × 360° = 68.9°.
12. 68.6°
Total = 42. Green fraction = 8/42. 8/42 × 360° = 68.6°.
Worked examples
In a survey: Red 2, Blue 7, Green 14, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 10/33.
- 10/33 × 360° = 109.1°.
- Answer: 109.1°
In a survey: Red 5, Blue 6, Green 8, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 28.
- Yellow fraction = 9/28.
- 9/28 × 360° = 115.7°.
- Answer: 115.7°
In a survey: Red 13, Blue 6, Green 7, Yellow 10. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 7/36.
- 7/36 × 360° = 70°.
- Answer: 70°
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 What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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