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Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

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

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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 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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What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

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Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

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How many different triangles can you make on a circular pegboard that has nine pegs?

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Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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Calculate the fractional amounts of money to match pairs of cards with the same value.

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

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Can you complete this jigsaw of the multiplication square?

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Practise your tables skills and try to beat your previous best score in this interactive game.

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The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

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There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

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Practise your number bonds whilst improving your memory in this matching pairs game.

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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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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

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In this game you are challenged to gain more columns of lily pads than your opponent.

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Can you find all the different triangles on these peg boards, and find their angles?

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Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

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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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A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.

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Can you work out what step size to take to ensure you visit all the dots on the circle?

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What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?

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A train building game for two players. Can you be the one to complete the train?

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A game for two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.

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Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

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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Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

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

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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

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

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Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

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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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Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?

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Train game for an adult and child. Who will be the first to make the train?

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Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

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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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A collection of resources to support work on Factors and Multiples at Secondary level.

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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

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When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

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Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?

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These interactive dominoes can be dragged around the screen.