Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Recognition Lessons
Free Grade 3 lessons 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
25 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 14, Yellow 2. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 12, Green 13, Yellow 11. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 15, Blue 6, Green 7, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 8, Blue 12, Green 14, Yellow 5. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 12, Blue 7, Green 3, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 8, Blue 2, Green 11, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 11, Blue 14, Green 12, Yellow 6. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 5, Blue 7, Green 14, Yellow 2. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 6, Blue 6, Green 10, Yellow 15. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 3, Blue 7, Green 9, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 12, Blue 11, Green 8, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 8, Blue 8, Green 5, Yellow 11. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 52.9°
Total = 34. Red fraction = 5/34. 5/34 × 360° = 52.9°.
2. 95.5°
Total = 49. Green fraction = 13/49. 13/49 × 360° = 95.5°.
3. 52.7°
Total = 41. Blue fraction = 6/41. 6/41 × 360° = 52.7°.
4. 129.2°
Total = 39. Green fraction = 14/39. 14/39 × 360° = 129.2°.
5. 144°
Total = 30. Red fraction = 12/30. 12/30 × 360° = 144°.
6. 24°
Total = 30. Blue fraction = 2/30. 2/30 × 360° = 24°.
7. 100.5°
Total = 43. Green fraction = 12/43. 12/43 × 360° = 100.5°.
8. 180°
Total = 28. Green fraction = 14/28. 14/28 × 360° = 180°.
9. 145.9°
Total = 37. Yellow fraction = 15/37. 15/37 × 360° = 145.9°.
10. 120°
Total = 21. Blue fraction = 7/21. 7/21 × 360° = 120°.
11. 104.2°
Total = 38. Blue fraction = 11/38. 11/38 × 360° = 104.2°.
12. 90°
Total = 32. Red fraction = 8/32. 8/32 × 360° = 90°.
Worked examples
In a survey: Red 14, Blue 6, Green 2, Yellow 14. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 14/36.
- 14/36 × 360° = 140°.
- Answer: 140°
In a survey: Red 6, Blue 11, Green 15, Yellow 13. In a pie chart, what angle does Red get?
- Total = 45.
- Red fraction = 6/45.
- 6/45 × 360° = 48°.
- Answer: 48°
In a survey: Red 3, Blue 8, Green 12, Yellow 8. In a pie chart, what angle does Red get?
- Total = 31.
- Red fraction = 3/31.
- 3/31 × 360° = 34.8°.
- Answer: 34.8°
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.
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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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