How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Can you find all the different triangles on these peg boards, and find their angles?
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 sort these triangles into three different families and explain how you did it?
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
How many different triangles can you make on a circular pegboard that has nine pegs?
Can you cover the camel with these pieces?
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?
Board Block game for two. Can you stop your partner from being able to make a shape on the board?
Take it in turns to make a triangle on the pegboard. Can you block your opponent?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.
Complete the squares - but be warned some are trickier than they look!
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.
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?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
Move just three of the circles so that the triangle faces in the opposite direction.
Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.
In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?
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?
A generic circular pegboard resource.
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
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?
Find out how we can describe the "symmetries" of this triangle and investigate some combinations of rotating and flipping it.
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.
Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.
Twenty four games for the run-up to Christmas.
Find out what a "fault-free" rectangle is and try to make some of your own.
Use the clues to colour each square.
Choose a symbol to put into the number sentence.
The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
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?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Can you find all the different ways of lining up these Cuisenaire rods?
What happens when you try and fit the triomino pieces into these two grids?
Hover your mouse over the counters to see which ones will be removed. Click to remover them. The winner is the last one to remove a counter. How you can make sure you win?
How many different rhythms can you make by putting two drums on the wheel?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
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....?
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?
How many trains can you make which are the same length as Matt's, using rods that are identical?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
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?
A variant on the game Alquerque