Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning Quizzes
Free Grade 3 quizzes 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
Stretch
25 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 13, Blue 4, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 11, Blue 2, Green 3, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 5, Green 11, Yellow 5. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 8, Blue 8, Green 3, Yellow 11. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 9, Blue 10, Green 13, Yellow 11. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 2, Green 11, Yellow 12. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 15, Blue 9, Green 5, Yellow 5. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 15, Blue 12, Green 8, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 4, Blue 15, Green 4, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 5, Green 12, Yellow 11. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 12, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 5, Blue 2, Green 10, Yellow 13. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 38.9°
Total = 37. Blue fraction = 4/37. 4/37 × 360° = 38.9°.
2. 109.6°
Total = 23. Yellow fraction = 7/23. 7/23 × 360° = 109.6°.
3. 56.3°
Total = 32. Yellow fraction = 5/32. 5/32 × 360° = 56.3°.
4. 96°
Total = 30. Red fraction = 8/30. 8/30 × 360° = 96°.
5. 75.3°
Total = 43. Red fraction = 9/43. 9/43 × 360° = 75.3°.
6. 26.7°
Total = 27. Red fraction = 2/27. 2/27 × 360° = 26.7°.
7. 52.9°
Total = 34. Green fraction = 5/34. 5/34 × 360° = 52.9°.
8. 110.8°
Total = 39. Blue fraction = 12/39. 12/39 × 360° = 110.8°.
9. 158.8°
Total = 34. Blue fraction = 15/34. 15/34 × 360° = 158.8°.
10. 58.1°
Total = 31. Blue fraction = 5/31. 5/31 × 360° = 58.1°.
11. 40°
Total = 27. Yellow fraction = 3/27. 3/27 × 360° = 40°.
12. 156°
Total = 30. Yellow fraction = 13/30. 13/30 × 360° = 156°.
Worked examples
In a survey: Red 2, Blue 3, Green 7, Yellow 11. In a pie chart, what angle does Green get?
- Total = 23.
- Green fraction = 7/23.
- 7/23 × 360° = 109.6°.
- Answer: 109.6°
In a survey: Red 3, Blue 4, Green 11, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 11/29.
- 11/29 × 360° = 136.6°.
- Answer: 136.6°
In a survey: Red 11, Blue 8, Green 6, Yellow 11. In a pie chart, what angle does Green get?
- Total = 36.
- Green fraction = 6/36.
- 6/36 × 360° = 60°.
- Answer: 60°
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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