Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
What is the greatest number of squares you can make by overlapping three squares?
Move just three of the circles so that the triangle faces in the opposite direction.
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Can you picture where this letter "F" will be on the grid if you flip it in these different ways?
How many different triangles can you make on a circular pegboard that has nine pegs?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Sort the houses in my street into different groups. Can you do it in any other ways?
Explore ways of colouring this set of triangles. Can you make symmetrical patterns?
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?
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?
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
A generic circular pegboard resource.
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
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?
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.
How would you move the bands on the pegboard to alter these shapes?
Can you find all the different triangles on these peg boards, and find their angles?
Use the clues to colour each square.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.
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?
Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?
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....?
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
A shunting puzzle for 1 person. Swop the positions of the counters at the top and bottom of the board.
Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?
Board Block Challenge game for an adult and child. Can you prevent your partner from being able to make a shape?
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
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?
How good are you at estimating angles?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Can you complete this jigsaw of the 100 square?
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?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Use these four dominoes to make a square that has the same number of dots on each side.
Can you complete this jigsaw of the multiplication square?
There are six numbers written in five different scripts. Can you sort out which is which?
An environment that enables you to investigate tessellations of regular polygons
A tool for generating random integers.
Some of the numbers have fallen off Becky's number line. Can you figure out what they were?