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

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

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

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Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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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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Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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

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

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Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

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This challenge focuses on finding the sum and difference of pairs of two-digit numbers.

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In this game for two players, the aim is to make a row of four coins which total one dollar.

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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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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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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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This is an adding game for two players. Can you be the first to reach the target?

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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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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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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 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 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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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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Surprise your friends with this magic square trick.

Find out about Magic Squares in this article written for students. Why are they magic?!

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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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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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This task follows on from Build it Up and takes the ideas into three dimensions!

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

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This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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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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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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What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

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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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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.

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Try out this number trick. What happens with different starting numbers? What do you notice?

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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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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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The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?

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Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

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Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

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Can you spot the mistake in this video? How would you work out the answer to this calculation?

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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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In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

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

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Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?