Complete the squares - but be warned some are trickier than they look!

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?

The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.

A game for 2 players. Can be played online. One player has 1 red counter, the other has 4 blue. The red counter needs to reach the other side, and the blue needs to trap the red.

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

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

Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.

An environment that enables you to investigate tessellations of regular polygons

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

What is the greatest number of squares you can make by overlapping three squares?

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

Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.

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

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

A collection of our favourite pictorial problems, one for each day of Advent.

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

A tool for generating random integers.

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

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 spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.

Square It game for an adult and child. Can you come up with a way of always winning this game?

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

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 find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

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?

Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?

A game for 1 person to play on screen. Practise your number bonds whilst improving your memory

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.

Here are some rods that are different colours. How could I make a dark green rod using yellow and white rods?

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

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?

Can you see why 2 by 2 could be 5? Can you predict what 2 by 10 will be?

Ahmed has some wooden planks to use for three sides of a rabbit run against the shed. What quadrilaterals would he be able to make with the planks of different lengths?

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?

Work out the fractions to match the cards with the same amount of money.

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....?

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

Can you fit the tangram pieces into the outlines of these clocks?

Can you fit the tangram pieces into the outlines of these people?

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

Can you fit the tangram pieces into the outline of Little Fung at the table?

Can you fit the tangram pieces into the outline of the child walking home from school?

Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?