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

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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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Move just three of the circles so that the triangle faces in the opposite direction.

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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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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

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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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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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Can you picture where this letter "F" will be on the grid if you flip it in these different ways?

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Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?

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A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.

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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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Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

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

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Can you complete this jigsaw of the multiplication square?

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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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You have two sets of the digits 0 â€“ 9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

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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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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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Take it in turns to make a triangle on the pegboard. Can you block your opponent?

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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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Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

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What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

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Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

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Board Block game for two. Can you stop your partner from being able to make a shape on the board?

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Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

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Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

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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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Sort the houses in my street into different groups. Can you do it in any other ways?

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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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There are six numbers written in five different scripts. Can you sort out which is which?

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How would you move the bands on the pegboard to alter these shapes?

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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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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

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Use these four dominoes to make a square that has the same number of dots on each side.

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How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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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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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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You have a set of the digits from 0 â€“ 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

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This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

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

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An environment that enables you to investigate tessellations of regular polygons

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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?