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Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

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Can you explain the strategy for winning this game with any target?

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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

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Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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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Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

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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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Delight your friends with this cunning trick! Can you explain how it works?

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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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In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.

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Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

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Surprise your friends with this magic square trick.

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

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Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

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If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

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Choose any three by three square of dates on a calendar page...

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

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

This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

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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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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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Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?

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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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What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

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Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

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

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Choose two digits and arrange them to make two double-digit numbers. Now add your double-digit numbers. Now add your single digit numbers. Divide your double-digit answer by your single-digit answer. . . .

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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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Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

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Play this game to learn about adding and subtracting positive and negative numbers

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By selecting digits for an addition grid, what targets can you make?

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

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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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What happens when you add a three digit number to its reverse?

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Try out some calculations. Are you surprised by the results?

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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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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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Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.

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

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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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In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

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Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .

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