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

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

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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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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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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.

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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Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

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

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

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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Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.

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A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?

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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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Can you beat the computer in the challenging strategy game?

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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.

Challenge Level

Can you complete this jigsaw of the multiplication square?

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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?

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

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

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

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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?

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

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

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What is the greatest number of squares you can make by overlapping three squares?

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These interactive dominoes can be dragged around the screen.

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

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We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4

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A game in which players take it in turns to choose a number. Can you block your opponent?