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When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

Are these statements relating to odd and even numbers always true, sometimes true or never true?

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

How many triangles can you make on the 3 by 3 pegboard?

Using only six straight cuts, find a way to make as many pieces of pizza as possible. (The pieces can be different sizes and shapes).

Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Which numbers can we write as a sum of square numbers?