Using a Venn diagram to display outcomes for two events | Maths

Starter quiz

Select the prime number.
- 6
- 7 ✓
- 8
- 9
- 10
Which of these statements are true about square numbers?
- Square numbers are never prime. ✓
- Square numbers can be non-integer.
- Square numbers have an odd number of distinct factors. ✓
- Every square's area is a square number.
Here are all the factors of a number $x$ . Match each factor with the factor that completes the factor pair.
- 1
  
  ⇔
  
  24 ✓
- 2
  
  ⇔
  
  12 ✓
- 3
  
  ⇔
  
  8 ✓
- 4
  
  ⇔
  
  6 ✓
Which of these numbers is 48 a multiple of?
- 3 ✓
- 5
- 7
- 8 ✓
- 11
The sample space is the set of all possible ______ from a trial.
- 'outcomes' ✓
Which outcome is not a factor of 6 but is even?
- 1
- 2
- 3
- 4 ✓
- 5

Which of these is a Venn diagram?
Use this Venn diagram to match the events to the outcomes.
- event A
  
  ⇔
  
  {12, 14, 15, 20, 31, 72} ✓
- event B
  
  ⇔
  
  {10, 15, 20, 59, 99} ✓
- not event A
  
  ⇔
  
  {10, 18, 44, 59, 62, 99} ✓
- not event B
  
  ⇔
  
  {12, 14, 18, 31, 44, 62, 72} ✓
- event A and event B
  
  ⇔
  
  {15, 20} ✓
- event A or event B
  
  ⇔
  
  {10, 12, 14, 15, 20, 31, 59, 72, 99} ✓
The Venn diagram shows 5 pupils and whether they play football (F) or play rugby (R). Which pupil plays rugby but not football?
- Jun
- Alex
- Sofia
- Izzy ✓
- Jacob
This Venn diagram shows prime numbers (P) and odd numbers (O). The Venn diagram has two errors. What are they?
- The outcomes are not in numerical order.
- The outcomes of the sample space are not all represented. ✓
- The circles are not labelled A and B.
- There is a duplication of an outcome. ✓
There are ______ outcomes in the sample space shown in this Venn diagram.
- '6' ✓
Which Venn diagram shows the same information as this outcome tree?

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Pupils may not draw the rectangle in their Venn diagrams.

Refer back to the rectangle hosting all possible outcomes; the sample space and therefore a vital part of a Venn diagram.

Venn diagram - Venn diagrams are a representation used to model statistical/probability questions. Commonly circles are used to represent events.