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Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

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Can you use the information to find out which cards I have used?

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Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

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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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Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do this?

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Andrew decorated 20 biscuits to take to a party. He lined them up and put icing on every second biscuit and different decorations on other biscuits. How many biscuits weren't decorated?

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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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How many different sets of numbers with at least four members can you find in the numbers in this box?

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What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

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Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

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In each of these games, you will need a little bit of luck, and your knowledge of place value to develop a winning strategy.

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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

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Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

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In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

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Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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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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Use your knowledge of place value to try to win this game. How will you maximise your score?

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Use these head, body and leg pieces to make Robot Monsters which are different heights.

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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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A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

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Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

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You'll need two dice to play this game against a partner. Will Incey Wincey make it to the top of the drain pipe or the bottom of the drain pipe first?

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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 make five differently sized squares from the interactive tangram pieces?

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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

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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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You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

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Who said that adding, subtracting, multiplying and dividing couldn't be fun?

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These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

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Can you find two butterflies to go on each flower so that the numbers on each pair of butterflies adds to the number on their flower?

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Play this game and see if you can figure out the computer's chosen number.

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Sort the houses in my street into different groups. Can you do it in any other ways?

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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

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Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?