Can you work out what is wrong with the cogs on a UK 2 pound coin?
Investigate how the four L-shapes fit together to make an enlarged L-shape. You could explore this idea with other shapes too.
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!
What is the greatest number of squares you can make by overlapping three squares?
Seeing Squares game for an adult and child. Can you come up with a way of always winning this game?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
What happens when you turn these cogs? Investigate the differences between turning two cogs of different sizes and two cogs which are the same.
Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?
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?
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.
What does the overlap of these two shapes look like? Try picturing it in your head and then use the interactivity to test your prediction.
Move just three of the circles so that the triangle faces in the opposite direction.
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
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.
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.
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?
Make one big triangle so the numbers that touch on the small triangles add to 10.
Can you cover the camel with these pieces?
What happens when you try and fit the triomino pieces into these two grids?
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
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?
Can you sort these triangles into three different families and explain how you did it?
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?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
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?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you find all the different triangles on these peg boards, and find their angles?
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Use the number weights to find different ways of balancing the equaliser.
Use your mouse to move the red and green parts of this disc. Can you make images which show the turnings described?
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Use the clues to colour each square.
How many right angles can you make using two sticks?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
Sort the houses in my street into different groups. Can you do it in any other ways?
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 draw on the dotty grid which each have one dot in the middle?
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Can you hang weights in the right place to make the equaliser balance?
Can you make a train the same length as Laura's but using three differently coloured rods? Is there only one way of doing it?
Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?
Start by putting one million (1 000 000) into the display of your calculator. Can you reduce this to 7 using just the 7 key and add, subtract, multiply, divide and equals as many times as you like?
Use the interactivity or play this dice game yourself. How could you make it fair?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Work out the fractions to match the cards with the same amount of money.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.