Using lists to display outcomes for two events | Maths

Starter quiz

5, 15, 20, 35, 750 are all multiples of ______.
- '5' ✓
Which of these numbers is not on a standard fair six-sided dice?
- 0 ✓
- 1
- 2
- 3
- 4
How many possible outcomes are there on this spinner?
- 1
- 2 ✓
- 3
- 4
- 5
Match the spinner to the possible outcomes.
- Spinner a
  
  ⇔
  
  {apple, bread, carrot} ✓
- Spinner b
  
  ⇔
  
  {apple, bread, carrot, melon} ✓
- Spinner c
  
  ⇔
  
  {apple, banana, carrot} ✓
- Spinner d
  
  ⇔
  
  {apple, carrot, melon} ✓
When rolling a standard fair six-sided dice, which of these events would be equally likely to occur?
- 'rolling a 6' and 'not rolling a 6'
- 'rolling an odd number' and 'rolling an even number' ✓
- 'rolling a square number' and 'not rolling a square number'
- 'rolling a prime number' and 'not rolling a prime number' ✓
- 'rolling a square number' and 'rolling a multiple of 3' ✓
Laura correctly describes an event as having an unlikely chance of happening. According to the likelihood scale, which of these statements is true about the event?
- It has 50% chance of happening
- It has more than 50% chance of happening, but less than 100%
- It has more than 50% chance of happening
- It has less than 50% chance of happening, but more than 0% ✓
- It has less than 50% chance of happening

These two spinner are spun. Which of the lists of outcomes have been completed systematically?
The list of outcomes from the two spinners has been composed non-systematically. The outcome ______ has been omitted.
- 'C1' ✓
The outcomes of the two spinners can be systematically listed like this H1, H2, H3, H4, ... and so on. Finish the list by putting the outcomes in the correct order.
- 1
  
  ⇔
  
  H5
- 2
  
  ⇔
  
  T1
- 3
  
  ⇔
  
  T2
- 4
  
  ⇔
  
  T3
- 5
  
  ⇔
  
  T4
- 6
  
  ⇔
  
  T5
A standard fair six-sided dice is going to be rolled. Event A = {prime number} and event B = {multiple of 3}. Which of these outcomes are in both event A and event B?
- 2
- 3 ✓
- 4
- 5
- 6
This spinner is to be spun. Event A = {5 letter words} and event B = {words with consecutive double letters}. How many outcomes are in both event A and event B?
- 0
- 1 ✓
- 2
- 3
- 4
A standard fair six-sided dice is going to be rolled. Event A = {odd number} and event B = {4, 6}. Match the outcomes to the correct event.
- event A
  
  ⇔
  
  {1, 3, 5} ✓
- event B
  
  ⇔
  
  {4, 6} ✓
- event A or event B
  
  ⇔
  
  {1, 3, 4, 5, 6} ✓
- event A and event B
  
  ⇔
  
  $\emptyset$ ✓
- not event A nor event B
  
  ⇔
  
  {2} ✓

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Pupils want to avoid writing lists of outcomes.

Always model and bring explicit attention to a systematic list. The benefits of working systematically is the likelihood of error is reduced.

Systematically - When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.