Working systematically

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

An investigation that gives you the opportunity to make and justify predictions.

What could be the scores from five throws of this dice?

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

Alice and Brian are snails who live on a wall and can only travel along the cracks. Alice wants to go to see Brian. How far is the shortest route along the cracks? Is there more than one way to go?

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...

Put 10 counters in a row. Find a way to arrange the counters into five pairs, evenly spaced in a row, in just 5 moves, using the rules.

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.