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Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

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Got It game for an adult and child. How can you play so that you know you will always win?

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Can you each work out the number on your card? What do you notice? How could you sort the cards?

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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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Strike it Out game for an adult and child. Can you stop your partner from being able to go?

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Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

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There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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Find your way through the grid starting at 2 and following these operations. What number do you end on?

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If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

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How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

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Here is a chance to play a version of the classic Countdown Game.

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This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

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Surprise your friends with this magic square trick.

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First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

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Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

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Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.

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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?

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Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?

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Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

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Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

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Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?

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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.

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Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

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We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

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This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!

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This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

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This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?

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A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!

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A game for 2 players. Practises subtraction or other maths operations knowledge.

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A game for 2 or more players with a pack of cards. Practise your skills of addition, subtraction, multiplication and division to hit the target score.

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

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Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

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Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?

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This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.

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When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

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Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?

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You have 5 darts and your target score is 44. How many different ways could you score 44?

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Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

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Using the statements, can you work out how many of each type of rabbit there are in these pens?

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Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

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Throw the dice and decide whether to double or halve the number. Will you be the first to reach the target?

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How many starfish could there be on the beach, and how many children, if I can see 28 arms?

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Woof is a big dog. Yap is a little dog. Emma has 16 dog biscuits to give to the two dogs. She gave Woof 4 more biscuits than Yap. How many biscuits did each dog get?

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A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

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

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There are nasty versions of this dice game but we'll start with the nice ones...

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In how many ways could Mrs Beeswax put ten coins into her three puddings so that each pudding ended up with at least two coins?