Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Understanding Quizzes
Free Grade 3 quizzes for Working with Introducing Sampling Techniques: Visual Models — Understanding: 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 techniques: visual models — understanding
Identify working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — understanding
Explain working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — understanding
Calculate working with introducing sampling techniques: visual models — understanding accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — understanding
Compare working with introducing sampling techniques: visual models — understanding 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 Techniques: Visual Models — Understanding 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 3, Blue 13, Green 9, Yellow 7. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 10, Blue 5, Green 2, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 4, Blue 6, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 2, Blue 15, Green 13, Yellow 10. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 8, Blue 5, Green 5, Yellow 5. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 8, Blue 13, Green 11, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 4, Blue 3, Green 2, Yellow 2. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 15, Blue 2, Green 3, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 11, Blue 3, Green 8, Yellow 9. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 3, Blue 4, Green 13, Yellow 12. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 6, Blue 2, Green 11, Yellow 15. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 6, Green 4, Yellow 13. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 101.3°
Total = 32. Green fraction = 9/32. 9/32 × 360° = 101.3°.
2. 69.2°
Total = 26. Blue fraction = 5/26. 5/26 × 360° = 69.2°.
3. 54°
Total = 20. Yellow fraction = 3/20. 3/20 × 360° = 54°.
4. 18°
Total = 40. Red fraction = 2/40. 2/40 × 360° = 18°.
5. 125.2°
Total = 23. Red fraction = 8/23. 8/23 × 360° = 125.2°.
6. 101.7°
Total = 46. Blue fraction = 13/46. 13/46 × 360° = 101.7°.
7. 65.5°
Total = 11. Green fraction = 2/11. 2/11 × 360° = 65.5°.
8. 38.6°
Total = 28. Green fraction = 3/28. 3/28 × 360° = 38.6°.
9. 92.9°
Total = 31. Green fraction = 8/31. 8/31 × 360° = 92.9°.
10. 33.8°
Total = 32. Red fraction = 3/32. 3/32 × 360° = 33.8°.
11. 63.5°
Total = 34. Red fraction = 6/34. 6/34 × 360° = 63.5°.
12. 53.3°
Total = 27. Red fraction = 4/27. 4/27 × 360° = 53.3°.
Worked examples
In a survey: Red 4, Blue 4, Green 11, Yellow 11. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 4/30.
- 4/30 × 360° = 48°.
- Answer: 48°
In a survey: Red 9, Blue 14, Green 15, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 40.
- Yellow fraction = 2/40.
- 2/40 × 360° = 18°.
- Answer: 18°
In a survey: Red 13, Blue 8, Green 10, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 42.
- Yellow fraction = 11/42.
- 11/42 × 360° = 94.3°.
- Answer: 94.3°
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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- Start with Working with Introducing Sampling Techniques: Visual Models — Recognition, Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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