An environment that enables you to investigate tessellations of
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A collection of our favourite pictorial problems, one for each day
Use an interactive Excel spreadsheet to explore number in this
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use Excel to investigate the effect of translations around a number
Use Excel to explore multiplication of fractions.
A metal puzzle which led to some mathematical questions.
Here is a chance to play a fractions version of the classic
Match pairs of cards so that they have equivalent ratios.
Match the cards of the same value.
A tool for generating random integers.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A collection of resources to support work on Factors and Multiples at Secondary level.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
The classic vector racing game brought to a screen near you.
Square It game for an adult and child. Can you come up with a way of always winning this game?
Can you beat the computer in the challenging strategy game?
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 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. . . .
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.
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.
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.
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.
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
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Cellular is an animation that helps you make geometric sequences composed of square cells.
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
Can you discover whether this is a fair game?
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Use the interactivity to play two of the bells in a pattern. How do
you know when it is your turn to ring, and how do you know which
bell to ring?
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?
Use the interactivity to listen to the bells ringing a pattern. Now
it's your turn! Play one of the bells yourself. How do you know
when it is your turn to ring?
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
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
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 find all the 4-ball shuffles?
Use the interactivity to make this Islamic star and cross design.
Can you produce a tessellation of regular octagons with two
different types of triangle?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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.
Investigate how logic gates work in circuits.