Combinations

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

In how many ways can you arrange three dice side by side on a surface so that the sum of the numbers on each of the four faces (top, bottom, front and back) is equal?

Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

A man has 5 coins in his pocket. Given the clues, can you work out what the coins are?

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?

Explore the different snakes that can be made using 5 cubes.