Use the interactivity to sort these numbers into sets. Can you give each set a name?

Twenty four games for the run-up to Christmas.

Move just three of the circles so that the triangle faces in the opposite direction.

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

If you have only four weights, where could you place them in order to balance this equaliser?

This activity challenges you to make collections of shapes. Can you give your collection a name?

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Can you hang weights in the right place to make the equaliser balance?

Can you work out how to balance this equaliser? You can put more than one weight on a hook.

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?

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.

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?

Use the interactivity to find out how many quarter turns the man must rotate through to look like each of the pictures.

Sort the houses in my street into different groups. Can you do it in any other ways?

Use the interactivity to create some steady rhythms. How could you create a rhythm which sounds the same forwards as it does backwards?

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?

Use the number weights to find different ways of balancing the equaliser.

How many right angles can you make using two sticks?

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?

If you can post the triangle with either the blue or yellow colour face up, how many ways can it be posted altogether?

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

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!

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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....?

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

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?

Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?

Can you complete this jigsaw of the multiplication square?

Use the interactivity to make this Islamic star and cross design. Can you produce a tessellation of regular octagons with two different types of triangle?

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 information about Sally and her brother to find out how many children there are in the Brown family.

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

Can you fit the tangram pieces into the outline of this brazier for roasting chestnuts?

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 two people that can be played with pencils and paper. Combine your knowledge of coordinates with some strategic thinking.

A game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

How many different rhythms can you make by putting two drums on the wheel?

Exchange the positions of the two sets of counters in the least possible number of moves

An interactive activity for one to experiment with a tricky tessellation

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.