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Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.


This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.

Sending Cards

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

Rods and Rods

Age 7 to 11 Challenge Level:
I've been playing around with cuisenaire rods, this is what I came to.
There are five different ways for us to make the pink rod using just red and white rods.


We count white, white, red as different from the white, red, white even though they both use two white rods and one red rod.


Using the interactivity below, can you work out how many different ways there are, using only the red and white rods, to make up:

  • The light green rod?
  • The yellow rod?
  • The dark green rod?
  • The black rod?
Full Screen Version

Without using the interactivity, how many different ways are there to make up the orange rod (equivalent to 10 white rods)?

Can you explain the pattern?