Free Grade 3 Introducing Histograms Techniques Flashcards
Free Grade 3 flashcards for Introducing Histograms Techniques: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing histograms techniques
Explain introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing histograms techniques
Calculate introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing histograms techniques
Compare introducing histograms techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing histograms techniques
Justify introducing histograms techniques 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 Introducing Histograms Techniques 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 11, Blue 15, Green 6, Yellow 12. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 14, Blue 5, Green 7, Yellow 6. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 7, Blue 12, Green 8, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 11, Green 11, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 3, Blue 4, Green 13, Yellow 2. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 12, Blue 7, Green 8, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 7, Blue 6, Green 13, Yellow 13. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 2, Blue 3, Green 13, Yellow 7. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 12, Blue 8, Green 9, Yellow 4. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 7, Blue 10, Green 4, Yellow 7. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 7, Blue 15, Green 7, Yellow 15. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 15, Blue 2, Green 4, Yellow 8. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 49.1°
Total = 44. Green fraction = 6/44. 6/44 × 360° = 49.1°.
2. 157.5°
Total = 32. Red fraction = 14/32. 14/32 × 360° = 157.5°.
3. 123.4°
Total = 35. Blue fraction = 12/35. 12/35 × 360° = 123.4°.
4. 100.8°
Total = 50. Yellow fraction = 14/50. 14/50 × 360° = 100.8°.
5. 212.7°
Total = 22. Green fraction = 13/22. 13/22 × 360° = 212.7°.
6. 117°
Total = 40. Yellow fraction = 13/40. 13/40 × 360° = 117°.
7. 120°
Total = 39. Green fraction = 13/39. 13/39 × 360° = 120°.
8. 28.8°
Total = 25. Red fraction = 2/25. 2/25 × 360° = 28.8°.
9. 98.2°
Total = 33. Green fraction = 9/33. 9/33 × 360° = 98.2°.
10. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
11. 57.3°
Total = 44. Green fraction = 7/44. 7/44 × 360° = 57.3°.
12. 186.2°
Total = 29. Red fraction = 15/29. 15/29 × 360° = 186.2°.
Worked examples
In a survey: Red 3, Blue 10, Green 5, Yellow 11. In a pie chart, what angle does Green get?
- Total = 29.
- Green fraction = 5/29.
- 5/29 × 360° = 62.1°.
- Answer: 62.1°
In a survey: Red 9, Blue 3, Green 2, Yellow 7. In a pie chart, what angle does Red get?
- Total = 21.
- Red fraction = 9/21.
- 9/21 × 360° = 154.3°.
- Answer: 154.3°
In a survey: Red 2, Blue 5, Green 10, Yellow 2. In a pie chart, what angle does Green get?
- Total = 19.
- Green fraction = 10/19.
- 10/19 × 360° = 189.5°.
- Answer: 189.5°
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.
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Frequently asked
- Is this Grade 3 Introducing Histograms Techniques 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 Introducing Histograms Essentials, Scatter Graphs. 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 Introducing Histograms Techniques?
- Move on to Introducing Histograms Word Problems, Introducing Histograms Common Errors, Working with Histograms, Histograms in Context, which build directly on this idea.
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