This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to explore number in this
Match pairs of cards so that they have equivalent ratios.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to explore multiplication of fractions.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
A collection of our favourite pictorial problems, one for each day
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use Excel to investigate the effect of translations around a number
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Here is a chance to play a fractions version of the classic
A tool for generating random integers.
An environment that enables you to investigate tessellations of
Match the cards of the same value.
Square It game for an adult and child. Can you come up with a way of always winning this 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?
Can you beat the computer in the challenging strategy game?
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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.
A collection of resources to support work on Factors and Multiples at Secondary level.
A metal puzzle which led to some mathematical questions.
The classic vector racing game brought to a screen near you.
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.
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 be the first to complete a row of three?
Can you discover whether this is a fair game?
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.
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.
Can you coach your rowing eight to win?
Can you find all the 4-ball shuffles?
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
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.
Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?
Choose 13 spots on the grid. Can you work out the scoring system? What is the maximum possible score?
Work out how to light up the single light. What's the rule?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Cellular is an animation that helps you make geometric sequences composed of square cells.
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?
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
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?
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 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.
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.
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
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?