Can you work out which spinners were used to generate the frequency charts?
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
This interactivity invites you to make conjectures and explore probabilities of outcomes related to two independent events.
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
A simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand. . . .
An environment which simulates working with Cuisenaire rods.
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
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?
An animation that helps you understand the game of Nim.
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.
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
It's easy to work out the areas of most squares that we meet, but what if they were tilted?
Use Excel to explore multiplication of fractions.
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.
Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
To avoid losing think of another very well known game where the patterns of play are similar.
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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?
This is an interactivity in which you have to sort the steps in the completion of the square into the correct order to prove the formula for the solutions of quadratic equations.
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...
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Can you fill in the mixed up numbers in this dilution calculation?
In this game you are challenged to gain more columns of lily pads than your opponent.
A game in which players take it in turns to choose a number. Can you block your opponent?
How good are you at estimating angles?
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?
A tool for generating random integers.
Here is a chance to play a fractions version of the classic Countdown Game.
Here is a chance to play a version of the classic Countdown Game.
Which dilutions can you make using only 10ml pipettes?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
How good are you at finding the formula for a number pattern ?
Can you work out what step size to take to ensure you visit all the dots on the circle?
Can you find the pairs that represent the same amount of money?
Can you find a strategy that ensures you get to take the last biscuit in this game?
It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?
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.
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
A right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?