Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning Worksheets
Free Grade 3 worksheets for Working with Introducing Sampling Essentials: Visual Models — Reasoning: 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
Foundation
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: visual models — reasoning
Identify working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — reasoning
Explain working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — reasoning
Calculate working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — reasoning
Compare working with introducing sampling essentials: visual models — reasoning 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 — Reasoning 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 7, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 9, Blue 6, Green 5, Yellow 2. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 11, Blue 3, Green 6, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 6, Blue 12, Green 5, Yellow 5. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 13, Blue 12, Green 3, Yellow 10. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 14, Blue 9, Green 12, Yellow 15. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 5, Blue 13, Green 9, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 10, Blue 6, Green 13, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 11, Blue 9, Green 10, Yellow 3. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 3, Green 9, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 15, Green 4, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 3, Blue 15, Green 4, Yellow 7. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 141.8°
Total = 33. Yellow fraction = 13/33. 13/33 × 360° = 141.8°.
2. 98.2°
Total = 22. Blue fraction = 6/22. 6/22 × 360° = 98.2°.
3. 33.8°
Total = 32. Blue fraction = 3/32. 3/32 × 360° = 33.8°.
4. 77.1°
Total = 28. Red fraction = 6/28. 6/28 × 360° = 77.1°.
5. 123.2°
Total = 38. Red fraction = 13/38. 13/38 × 360° = 123.2°.
6. 64.8°
Total = 50. Blue fraction = 9/50. 9/50 × 360° = 64.8°.
7. 117°
Total = 40. Blue fraction = 13/40. 13/40 × 360° = 117°.
8. 61.7°
Total = 35. Blue fraction = 6/35. 6/35 × 360° = 61.7°.
9. 98.2°
Total = 33. Blue fraction = 9/33. 9/33 × 360° = 98.2°.
10. 66.7°
Total = 27. Yellow fraction = 5/27. 5/27 × 360° = 66.7°.
11. 158.8°
Total = 34. Blue fraction = 15/34. 15/34 × 360° = 158.8°.
12. 86.9°
Total = 29. Yellow fraction = 7/29. 7/29 × 360° = 86.9°.
Worked examples
In a survey: Red 8, Blue 6, Green 13, Yellow 15. In a pie chart, what angle does Green get?
- Total = 42.
- Green fraction = 13/42.
- 13/42 × 360° = 111.4°.
- Answer: 111.4°
In a survey: Red 7, Blue 14, Green 11, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 44.
- Yellow fraction = 12/44.
- 12/44 × 360° = 98.2°.
- Answer: 98.2°
In a survey: Red 3, Blue 2, Green 7, Yellow 7. In a pie chart, what angle does Blue get?
- Total = 19.
- Blue fraction = 2/19.
- 2/19 × 360° = 37.9°.
- Answer: 37.9°
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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- Start with Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Visual Models — Understanding, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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