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.
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
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. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
Use Excel to investigate the effect of translations around a number
Can you be the first to complete a row of three?
Square It game for an adult and child. Can you come up with a way of always winning this game?
Use an interactive Excel spreadsheet to explore number in this
Use an Excel spreadsheet to explore long multiplication.
An Excel spreadsheet with an investigation.
Can you work out which spinners were used to generate the frequency charts?
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
A collection of resources to support work on Factors and Multiples at Secondary level.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Can you beat the computer in the challenging strategy game?
Use Excel to explore multiplication of fractions.
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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 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
Start with any number of counters in any number of piles. 2 players
take it in turns to remove any number of counters from a single
pile. The winner is the player to take the last counter.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
An environment that enables you to investigate tessellations of
Match the cards of the same value.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
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.
Match pairs of cards so that they have equivalent ratios.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A metal puzzle which led to some mathematical questions.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
The classic vector racing game brought to a screen near you.
Here is a chance to play a fractions version of the classic
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use the interactivity or play this dice game yourself. How could
you make it fair?
Cellular is an animation that helps you make geometric sequences composed of square cells.
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Identical discs are flipped in the air. You win if all of the faces
show the same colour. Can you calculate the probability of winning
with n discs?
Try out the lottery that is played in a far-away land. What is the
chance of winning?
Can you discover whether this is a fair 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. . . .
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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. . . .
Can you find all the 4-ball shuffles?
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.