Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?
A game for 1 person to play on screen. Practise your number bonds whilst improving your memory
A tilted square is a square with no horizontal sides. Can you devise a general instruction for the construction of a square when you are given just one of its sides?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
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?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
What is the relationship between the angle at the centre and the angles at the circumference, for angles which stand on the same arc? Can you prove it?
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.
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Can you locate the lost giraffe? Input coordinates to help you search and find the giraffe in the fewest guesses.
Can you find triangles on a 9-point circle? Can you work out their angles?
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?
Practise your diamond mining skills and your x,y coordination in this homage to Pacman.
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
These interactive dominoes can be dragged around the screen.
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.
Can you complete this jigsaw of the multiplication square?
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
An animation that helps you understand the game of Nim.
Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?
Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.
Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.
Can you explain the strategy for winning this game with any target?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Here is a chance to play a version of the classic Countdown Game.
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...
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.
How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?
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.
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?
Can you fit the tangram pieces into the outlines of the chairs?
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
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?
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 game for 1 or 2 people. Use the interactive version, or play with friends. Try to round up as many counters as possible.
A shape and space game for 2,3 or 4 players. Be the last person to be able to place a pentomino piece on the playing board. Play with card, or on the computer.
Choose a symbol to put into the number sentence.
Try this interactive strategy game for 2
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?