Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Recognition Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: Visual Models — 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: visual models — recognition
Explain working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — recognition
Calculate working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — recognition
Compare working with introducing sampling essentials: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: visual models — recognition
Justify working with introducing sampling essentials: visual models — 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: Visual Models — 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 5, Blue 13, Green 12, Yellow 14. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 6, Blue 14, Green 12, Yellow 9. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 3, Blue 2, Green 3, Yellow 7. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 9, Green 5, Yellow 8. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 4, Blue 7, Green 11, Yellow 8. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 4, Blue 9, Green 13, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 3, Blue 13, Green 7, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 8, Blue 7, Green 4, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 10, Blue 11, Green 8, Yellow 10. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 10, Blue 5, Green 5, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 2, Blue 4, Green 12, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 7, Blue 15, Green 15, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 106.4°
Total = 44. Blue fraction = 13/44. 13/44 × 360° = 106.4°.
2. 105.4°
Total = 41. Green fraction = 12/41. 12/41 × 360° = 105.4°.
3. 72°
Total = 15. Red fraction = 3/15. 3/15 × 360° = 72°.
4. 145.9°
Total = 37. Red fraction = 15/37. 15/37 × 360° = 145.9°.
5. 132°
Total = 30. Green fraction = 11/30. 11/30 × 360° = 132°.
6. 111.7°
Total = 29. Blue fraction = 9/29. 9/29 × 360° = 111.7°.
7. 123.2°
Total = 38. Blue fraction = 13/38. 13/38 × 360° = 123.2°.
8. 132°
Total = 30. Yellow fraction = 11/30. 11/30 × 360° = 132°.
9. 73.8°
Total = 39. Green fraction = 8/39. 8/39 × 360° = 73.8°.
10. 154.3°
Total = 35. Yellow fraction = 15/35. 15/35 × 360° = 154.3°.
11. 46.5°
Total = 31. Blue fraction = 4/31. 4/31 × 360° = 46.5°.
12. 138.5°
Total = 39. Green fraction = 15/39. 15/39 × 360° = 138.5°.
Worked examples
In a survey: Red 3, Blue 3, Green 3, Yellow 5. In a pie chart, what angle does Red get?
- Total = 14.
- Red fraction = 3/14.
- 3/14 × 360° = 77.1°.
- Answer: 77.1°
In a survey: Red 14, Blue 10, Green 11, Yellow 13. In a pie chart, what angle does Red get?
- Total = 48.
- Red fraction = 14/48.
- 14/48 × 360° = 105°.
- Answer: 105°
In a survey: Red 10, Blue 15, Green 9, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 46.
- Yellow fraction = 12/46.
- 12/46 × 360° = 93.9°.
- Answer: 93.9°
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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- What should a learner already know before this?
- Start with Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
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