Can you put these shapes in order of size? Start with the smallest.
Can you create a story that would describe the movement of the man shown on these graphs? Use the interactivity to try out our ideas.
How many times in twelve hours do the hands of a clock form a right angle? Use the interactivity to check your answers.
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?
There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
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?
Sort the houses in my street into different groups. Can you do it in any other ways?
A game for two or more players that uses a knowledge of measuring tools. Spin the spinner and identify which jobs can be done with the measuring tool shown.
Use the interactivity to move Mr Pearson and his dog. Can you move him so that the graph shows a curve?
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.
The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?
Stop the Clock game for an adult and child. How can you make sure you always win this game?
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?
Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?
Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.
Use the number weights to find different ways of balancing the equaliser.
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 right angles can you make using two sticks?
An interactive game to be played on your own or with friends. Imagine you are having a party. Each person takes it in turns to stand behind the chair where they will get the most chocolate.
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?
If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?
What shaped overlaps can you make with two circles which are the same size? What shapes are 'left over'? What shapes can you make when the circles are different sizes?
A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
An interactive activity for one to experiment with a tricky tessellation
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 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?
What are the coordinates of the coloured dots that mark out the tangram? Try changing the position of the origin. What happens to the coordinates now?
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?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Move just three of the circles so that the triangle faces in the opposite direction.
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
How many different rhythms can you make by putting two drums on the wheel?
A game to be played against the computer, or in groups. Pick a 7-digit number. A random digit is generated. What must you subract to remove the digit from your number? the first to zero wins.
A game for 2 people that can be played on line or with pens and paper. Combine your knowledege of coordinates with your skills of strategic thinking.
A variant on the game Alquerque
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?
A game for 2 people that everybody knows. You can play with a friend or online. If you play correctly you never lose!
Exchange the positions of the two sets of counters in the least possible number of moves
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Here is a chance to play a version of the classic Countdown Game.
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?