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Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

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Use these four dominoes to make a square that has the same number of dots on each side.

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Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.

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The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?

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Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

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

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An ordinary set of dominoes can be laid out as a 7 by 4 magic rectangle in which all the spots in all the columns add to 24, while those in the rows add to 42. Try it! Now try the magic square...

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Is it possible to use all 28 dominoes arranging them in squares of four? What patterns can you see in the solution(s)?

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Everthing you have always wanted to do with dominoes! Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills.

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Using the 8 dominoes make a square where each of the columns and rows adds up to 8

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Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

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A game in which players take it in turns to choose a number. Can you block your opponent?

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Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

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Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

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How many moves does it take to swap over some red and blue frogs? Do you have a method?

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Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

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A game that demands a logical approach using systematic working to deduce a winning strategy

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A game for 2 players. Take turns to place a counter so that it occupies one of the lowest possible positions in the grid. The first player to complete a line of 4 wins.

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How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

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Can you work out how to win this game of Nim? Does it matter if you go first or second?

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Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

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A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.

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A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.

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Place the numbers 1, 2, 3,..., 9 one on each square of a 3 by 3 grid so that all the rows and columns add up to a prime number. How many different solutions can you find?

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Can you mentally fit the 7 SOMA pieces together to make a cube? Can you do it in more than one way?

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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

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Take ten sticks in heaps any way you like. Make a new heap using one from each of the heaps. By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

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Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

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There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?

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The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

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A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.

This game is known as Pong hau k'i in China and Ou-moul-ko-no in Korea. Find a friend to play or try the interactive version online.

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Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

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There are lots of different methods to find out what the shapes are worth - how many can you find?

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In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.