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Can you find a strategy that ensures you get to take the last biscuit in this game?

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Each clue in this Sudoku is the product of the two numbers in adjacent cells.

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Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.

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Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

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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 describe this route to infinity? Where will the arrows take you next?

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Can you make sense of the three methods to work out what fraction of the total area is shaded?

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Find the frequency distribution for ordinary English, and use it to help you crack the code.

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

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These Olympic quantities have been jumbled up! Can you put them back together again?

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Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

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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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My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

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Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?

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

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Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?

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Caroline and James pick sets of five numbers. Charlie tries to find three that add together to make a multiple of three. Can they stop him?

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Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

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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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How many moves does it take to swap over some red and blue frogs? Do you have a method?

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Choose four consecutive whole numbers. Multiply the first and last numbers together. Multiply the middle pair together. What do you notice?

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Four friends must cross a bridge. How can they all cross it in just 17 minutes?

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The clues for this Sudoku are the product of the numbers in adjacent squares.

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

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Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

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Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

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Can you find ways to put numbers in the overlaps so the rings have equal totals?

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A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

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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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Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

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If you can copy a network without lifting your pen off the paper and without drawing any line twice, then it is traversable. Decide which of these diagrams are traversable.

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Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

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

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Using your knowledge of the properties of numbers, can you fill all the squares on the board?

In a city with a grid system of roads, how do you get from A to B?

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In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.