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Programme Of Study For Key Stage 4 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Dice Investigation Throw two dice and multiply the scores. Investigate the different products you can obtain. What about adding? What about using three dice?
- Probability Basic probability questions in an online exercise.
- Tree Diagrams Calculate the probability of independent and dependent combined events using tree diagrams.

Here are some exam-style questions on this statement:

- "
*Aran, Betsy and Connor collect data about which way up a drawing pin will land if dropped from a fixed height. Here are their results.*" ... more - "
*For this question, give all your answers as fractions.*" ... more - "
*A box contains only green and yellow crayons.*" ... more - "
*Lisa's nephew Sean has two boxes containing plastic building bricks.*" ... more - "
*Percy throws a fair dice until he gets a five.*" ... more - "
*On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hanna's sweets. Here is our version:*" ... more - "
*When the arrow is spun once on this spinner, a 1 or a 2 or a 3 can be scored depending on the colour the arrow lands on.*" ... more - "
*There are \(x\) left shoes and 7 right shoes in a dark cupboard.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.