Watch this film carefully. Can you find a general rule for explaining when the dot will be this same distance from the horizontal axis?

Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?

The 2012 primary advent calendar features twenty-four of our posters, one for each day in the run-up to Christmas.

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

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

Calculate the fractional amounts of money to match pairs of cards with the same value.

Practise your tables skills and try to beat your previous best score in this interactive game.

Can you beat the computer in the challenging strategy 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.

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

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.

A train building game for two players. Can you be the one to complete the train?

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

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?

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?

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

Here is a chance to play a fractions version of the classic Countdown Game.

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

Train game for an adult and child. Who will be the first to make the train?

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Practise your number bonds whilst improving your memory in this matching pairs game.

Can you find the pairs that represent the same amount of money?

Can you explain the strategy for winning this game with any target?

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?

A game in which players take it in turns to choose a number. Can you block your opponent?

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

A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .

These interactive dominoes can be dragged around the screen.

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

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

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.

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.

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Use this animation to experiment with lotteries. Choose how many balls to match, how many are in the carousel, and how many draws to make at once.

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.

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

Here is a chance to play a version of the classic Countdown Game.

We can show that (x + 1)² = x² + 2x + 1 by considering the area of an (x + 1) by (x + 1) square. Show in a similar way that (x + 2)² = x² + 4x + 4

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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 Cuisenaire rods environment to investigate ratio. Can you find pairs of rods in the ratio 3:2?

Can you find a relationship between the number of dots on the circle and the number of steps that will ensure that all points are hit?

Use Excel to explore multiplication of fractions.

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.