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

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

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

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

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

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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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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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In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?

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Ann thought of 5 numbers and told Bob all the sums that could be made by adding the numbers in pairs. The list of sums is 6, 7, 8, 8, 9, 9, 10,10, 11, 12. Help Bob to find out which numbers Ann was. . . .

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

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Find the values of the nine letters in the sum: FOOT + BALL = GAME

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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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How many solutions can you find to this sum? Each of the different letters stands for a different number.

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Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?

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A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly Â£100 if the prices are Â£10 for adults, 50p for pensioners and 10p for children.

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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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Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

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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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In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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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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This Sudoku, based on differences. Using the one clue number can you find the solution?

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

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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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This Sudoku requires you to do some working backwards before working forwards.

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

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

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Different combinations of the weights available allow you to make different totals. Which totals can you make?

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Five numbers added together in pairs produce: 0, 2, 4, 4, 6, 8, 9, 11, 13, 15 What are the five numbers?

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

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

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Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

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Surprise your friends with this magic square trick.

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

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

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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.