A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A game for 1 person. Can you work out how the dice must be rolled from the start position to the finish? Play on line.
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?
How many different triangles can you make on a circular pegboard that has nine pegs?
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
How can the same pieces of the tangram make this bowl before and after it was chipped? Use the interactivity to try and work out what is going on!
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
Take it in turns to place a domino on the grid. One to be placed horizontally and the other vertically. Can you make it impossible for your opponent to play?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
What happens when you try and fit the triomino pieces into these two grids?
Move just three of the circles so that the triangle faces in the opposite direction.
A tetromino is made up of four squares joined edge to edge. Can this tetromino, together with 15 copies of itself, be used to cover an eight by eight chessboard?
Can you work out what is wrong with the cogs on a UK 2 pound coin?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
What is the greatest number of squares you can make by overlapping three squares?
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
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.
Sort the houses in my street into different groups. Can you do it in any other ways?
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
This was a problem for our birthday website. Can you use four of these pieces to form a square? How about making a square with all five pieces?
What happens when you turn these cogs? Investigate the differences between turning two cogs of different sizes and two cogs which are the same.
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?
What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.
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?
You have 4 red and 5 blue counters. How many ways can they be placed on a 3 by 3 grid so that all the rows columns and diagonals have an even number of red counters?
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.
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?
Here are some rods that are different colours. How could I make a yellow rod using white and red rods?
Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Can you find all the different triangles on these peg boards, and find their angles?
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
Try out the lottery that is played in a far-away land. What is the chance of winning?
Choose a symbol to put into the number sentence.
Can you complete this jigsaw of the 100 square?
This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?
Use the clues to colour each square.