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These are the Transum resources related to the statement: "Pupils should be taught to apply systematic listing strategies, {including use of the product rule for counting}".

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

- Design a badge How many different badges can you make using three different coloured squares put together to make a rectangle?
- Football Scores If you know the final score of a football match, what might the half time score have been?
- House Painting The houses in Mathsland are all three storeys tall. Each storey is painted using one colour. How many ways can the houses be painted?
- How Many Triangles? A self marking step by step approach to calculating the number of triangles in a design.
- Ice-cream Combinations How many two-scoop ice creams can you make from the given flavours?
- Misfits A Misfit is a character with a head, body and legs. How many different Misfits can you create?
- Six Keys Use just six keys on your calculator to make a given total. How many different ways can it be done?
- Snake Sort Sort the coloured snakes in a logical order. This activity introduces systematic listing.
- Striped Sweets Learn how to be systematic by colouring the sweet wrappers so that no two are the same.
- Systematic Listing Apply systematic listing strategies to find the number of combinations and permutations of choices.
- Take Baht How many different ways can you make a given total with Thai coins?
- Xmas Tree Trim Use the lights provided to decorate each of the Christmas trees so that no two trees are the same.

Here are some exam-style questions on this statement:

- "
*Students in Year 10 at Riverdale High School can choose two different courses for their Friday afternoon elective lessons. Their two choices must be from two different school departments.*" ... more - "
*A restaurant offers 6 starters, 14 main courses and 5 different desserts.*" ... more - "
*Michael decides to order a starter and a main course from the restaurant menu.*" ... more - "
*There are four dials on a combination lock.*" ... more

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

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