Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Understanding Flashcards
Free Grade 3 flashcards for Working with Introducing Sampling Essentials: Step-by-step Method — Understanding: 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°.
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15 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 — understanding
Identify working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — understanding
Explain working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — understanding
Calculate working with introducing sampling essentials: step-by-step method — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — understanding
Compare working with introducing sampling essentials: step-by-step method — understanding 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 — Understanding 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 6, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 13, Blue 6, Green 8, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 13, Blue 5, Green 5, Yellow 12. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 13, Blue 5, Green 14, Yellow 10. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 3, Blue 2, Green 4, Yellow 14. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 3, Green 10, Yellow 6. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 7, Blue 4, Green 5, Yellow 12. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 12, Blue 11, Green 8, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 6, Blue 11, Green 10, Yellow 13. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 3, Blue 12, Green 13, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 13, Blue 6, Green 6, Yellow 3. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 5, Blue 9, Green 13, Yellow 14. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 63.5°
Total = 34. Blue fraction = 6/34. 6/34 × 360° = 63.5°.
2. 72°
Total = 30. Blue fraction = 6/30. 6/30 × 360° = 72°.
3. 51.4°
Total = 35. Green fraction = 5/35. 5/35 × 360° = 51.4°.
4. 111.4°
Total = 42. Red fraction = 13/42. 13/42 × 360° = 111.4°.
5. 62.6°
Total = 23. Green fraction = 4/23. 4/23 × 360° = 62.6°.
6. 133.3°
Total = 27. Green fraction = 10/27. 10/27 × 360° = 133.3°.
7. 51.4°
Total = 28. Blue fraction = 4/28. 4/28 × 360° = 51.4°.
8. 90°
Total = 44. Blue fraction = 11/44. 11/44 × 360° = 90°.
9. 54°
Total = 40. Red fraction = 6/40. 6/40 × 360° = 54°.
10. 105.4°
Total = 41. Blue fraction = 12/41. 12/41 × 360° = 105.4°.
11. 77.1°
Total = 28. Green fraction = 6/28. 6/28 × 360° = 77.1°.
12. 79°
Total = 41. Blue fraction = 9/41. 9/41 × 360° = 79°.
Worked examples
In a survey: Red 3, Blue 8, Green 7, Yellow 12. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 3/30.
- 3/30 × 360° = 36°.
- Answer: 36°
In a survey: Red 15, Blue 2, Green 12, Yellow 4. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 4/33.
- 4/33 × 360° = 43.6°.
- Answer: 43.6°
In a survey: Red 4, Blue 10, Green 7, Yellow 9. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 4/30.
- 4/30 × 360° = 48°.
- Answer: 48°
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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