What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

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.

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?

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....?

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

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

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

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

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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

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

Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?

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

An interactive activity for one to experiment with a tricky tessellation

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?

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

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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?

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

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

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 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?

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

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

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?

Can you beat the computer in the challenging strategy game?

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?

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?

Can you find all the different triangles on these peg boards, and find their angles?

These interactive dominoes can be dragged around the screen.

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

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.

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

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

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

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

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

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

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

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?

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

A collection of resources to support work on Factors and Multiples at Secondary level.

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

Can you complete this jigsaw of the multiplication square?

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?