Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning Flashcards
Free Grade 3 flashcards 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 14, Blue 6, Green 3, Yellow 5. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 5, Blue 7, Green 15, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 10, Blue 3, Green 9, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 13, Green 2, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 8, Green 3, Yellow 6. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 5, Blue 15, Green 11, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 14, Blue 5, Green 13, Yellow 15. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 7, Blue 13, Green 7, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 14, Blue 9, Green 3, Yellow 14. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 7, Blue 8, Green 10, Yellow 9. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 13, Blue 15, Green 5, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 11, Blue 3, Green 3, Yellow 11. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 38.6°
Total = 28. Green fraction = 3/28. 3/28 × 360° = 38.6°.
2. 74.1°
Total = 34. Yellow fraction = 7/34. 7/34 × 360° = 74.1°.
3. 128.6°
Total = 28. Red fraction = 10/28. 10/28 × 360° = 128.6°.
4. 90°
Total = 40. Yellow fraction = 10/40. 10/40 × 360° = 90°.
5. 54°
Total = 20. Red fraction = 3/20. 3/20 × 360° = 54°.
6. 163.6°
Total = 33. Blue fraction = 15/33. 15/33 × 360° = 163.6°.
7. 107.2°
Total = 47. Red fraction = 14/47. 14/47 × 360° = 107.2°.
8. 123.2°
Total = 38. Blue fraction = 13/38. 13/38 × 360° = 123.2°.
9. 126°
Total = 40. Red fraction = 14/40. 14/40 × 360° = 126°.
10. 95.3°
Total = 34. Yellow fraction = 9/34. 9/34 × 360° = 95.3°.
11. 20.6°
Total = 35. Yellow fraction = 2/35. 2/35 × 360° = 20.6°.
12. 141.4°
Total = 28. Yellow fraction = 11/28. 11/28 × 360° = 141.4°.
Worked examples
In a survey: Red 8, Blue 8, Green 14, Yellow 5. In a pie chart, what angle does Blue get?
- Total = 35.
- Blue fraction = 8/35.
- 8/35 × 360° = 82.3°.
- Answer: 82.3°
In a survey: Red 4, Blue 6, Green 10, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 29.
- Blue fraction = 6/29.
- 6/29 × 360° = 74.5°.
- Answer: 74.5°
In a survey: Red 2, Blue 13, Green 13, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 37.
- Blue fraction = 13/37.
- 13/37 × 360° = 126.5°.
- Answer: 126.5°
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
How mastery is evidenced, and which standards it maps to.
Every free resource for Working with Introducing Sampling Essentials: Visual Models — Reasoning
One concept, one ecosystem — all of it free.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning flashcards really free?
- Yes. Every flashcards on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- 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.
- How is the flashcards sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Working with Introducing Sampling Essentials: Visual Models — Reasoning?
- Move on to Working with Introducing Sampling Essentials: Visual Models — Mastery, What is Working with Introducing Sampling Essentials, Working with Introducing Sampling Essentials: Step-by-step Method, Working with Introducing Sampling Essentials: Worked Examples, which build directly on this idea.
Related resources
- Free Working with Introducing Sampling Essentials: Visual Models — Reasoning worksheets
- Free Working with Introducing Sampling Essentials: Visual Models — Reasoning quizzes
- Free Working with Introducing Sampling Essentials: Visual Models — Reasoning lessons
- Free Working with Introducing Sampling Essentials: Visual Models — Reasoning lesson plans
- Working with Introducing Sampling Essentials: Visual Models — Reasoning in the knowledge graph
- Free AI Tutor
Stuck on Working with Introducing Sampling Essentials: Visual Models — Reasoning? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor