Working systematically

In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.

How many routes are there in this diagram from S to T?

If the odd numbers on two dice are made negative, which of the totals cannot be achieved?

Can you find the value of t in these equations?

If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

How many ways are there to make 11p using 1p, 2p and 5p coins?

Can you work out the values of the digits in this addition sum?

How many different flags can you make?

Bellringers have a special way to write down the patterns they ring. Learn about these patterns and draw some of your own.

Trinni rearranges numbers on a clock face so each adjacent pair add up to a triangle number... What number did she put where 6 would usually be?