Free Grade 3 Venn Diagrams in Context Flashcards
Free Grade 3 flashcards for Venn Diagrams in Context: 12 real questions with a full answer key and worked solutions. Probability measures how likely something is, from 0 (impossible) to 1 (certain). P(event) = favourable outcomes ÷ total outcomes. For independent events, multiply.
Free
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain venn diagrams in context
Explain venn diagrams in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate venn diagrams in context
Calculate venn diagrams in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare venn diagrams in context
Compare venn diagrams in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify venn diagrams in context
Justify venn diagrams in context 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 Venn Diagrams in Context works
Probability measures how likely something is, from 0 (impossible) to 1 (certain). P(event) = favourable outcomes ÷ total outcomes. For independent events, multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.A bag has 6 red, 2 blue and 3 green counters. One is picked at random. Find P(red).[1]
- 2.A bag has 1 red, 6 blue and 5 green counters. One is picked at random. Find P(red).[1]
- 3.A bag has 7 red, 6 blue and 1 green counters. One is picked at random. Find P(red).[1]
- 4.A bag has 2 red, 7 blue and 0 green counters. One is picked at random. Find P(red).[1]
- 5.A bag has 6 red, 1 blue and 4 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 6.A bag has 2 red, 6 blue and 3 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 7.A bag has 4 red, 3 blue and 4 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 8.A bag has 3 red, 8 blue and 0 green counters. One is picked at random. Find P(red) and P(not red).[2]
- 9.A bag has 4 red and 5 blue counters. Two are picked with replacement. Find P(both red).[3]
- 10.A bag has 8 red and 4 blue counters. Two are picked with replacement. Find P(both red).[3]
- 11.A bag has 5 red and 6 blue counters. Two are picked with replacement. Find P(both red).[3]
- 12.A bag has 8 red and 6 blue counters. Two are picked with replacement. Find P(both red).[3]
Show answers and working
1. P(red) = 6/11
Total counters = 11. P(red) = 6/11 = 6/11.
2. P(red) = 1/12
Total counters = 12. P(red) = 1/12 = 1/12.
3. P(red) = 1/2
Total counters = 14. P(red) = 7/14 = 1/2.
4. P(red) = 2/9
Total counters = 9. P(red) = 2/9 = 2/9.
5. P(red) = 6/11, P(not red) = 5/11
Total counters = 11. P(red) = 6/11 = 6/11. P(not red) = 1 − 6/11 = 5/11.
6. P(red) = 2/11, P(not red) = 9/11
Total counters = 11. P(red) = 2/11 = 2/11. P(not red) = 1 − 2/11 = 9/11.
7. P(red) = 4/11, P(not red) = 7/11
Total counters = 11. P(red) = 4/11 = 4/11. P(not red) = 1 − 4/11 = 7/11.
8. P(red) = 3/11, P(not red) = 8/11
Total counters = 11. P(red) = 3/11 = 3/11. P(not red) = 1 − 3/11 = 8/11.
9. 16/81
P(red) = 4/9 each time. Independent, so multiply: 4/9 × 4/9 = 16/81.
10. 4/9
P(red) = 8/12 each time. Independent, so multiply: 8/12 × 8/12 = 4/9.
11. 25/121
P(red) = 5/11 each time. Independent, so multiply: 5/11 × 5/11 = 25/121.
12. 16/49
P(red) = 8/14 each time. Independent, so multiply: 8/14 × 8/14 = 16/49.
Worked examples
A bag has 6 red, 7 blue and 5 green counters. One is picked at random. Find P(red).
- Total counters = 18.
- P(red) = 6/18 = 1/3.
- Answer: P(red) = 1/3
A bag has 4 red, 3 blue and 3 green counters. One is picked at random. Find P(red) and P(not red).
- Total counters = 10.
- P(red) = 4/10 = 2/5.
- P(not red) = 1 − 2/5 = 3/5.
- Answer: P(red) = 2/5, P(not red) = 3/5
A bag has 3 red and 3 blue counters. Two are picked with replacement. Find P(both red).
- P(red) = 3/6 each time.
- Independent, so multiply: 3/6 × 3/6 = 1/4.
- Answer: 1/4
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Writes probability as a ratio like 3:5.
Correction: Use a fraction, decimal or percentage.
Adds probabilities for 'and' events.
Correction: 'And' means multiply when events are independent.
Teacher tips
- · Run real experiments with dice and compare to theory.
Parent tips
- · Talk about the chance of rain from the forecast.
Real-life applications
- · Weather forecasts, games, insurance.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Venn Diagrams in Context 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 Venn Diagrams, Introducing Venn Diagrams, Tree Diagrams. 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 Venn Diagrams in Context?
- Move on to Sample Space Diagrams, Tree Diagrams, Conditional Probability, which build directly on this idea.
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