A metal puzzle which led to some mathematical questions.
Use Excel to explore multiplication of fractions.
An Excel spreadsheet with an investigation.
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
An environment that enables you to investigate tessellations of
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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 interactive Excel spreadsheet to investigate factors and
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The classic vector racing game brought to a screen near you.
A collection of resources to support work on Factors and Multiples at Secondary level.
Can you beat the computer in the challenging strategy game?
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.
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.
Match the cards of the same value.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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
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 be the first to complete a row of three?
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.
This rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
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.
Cellular is an animation that helps you make geometric sequences
composed of square cells.
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
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?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
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
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. . . .
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.
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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.
What shaped overlaps can you make with two circles which are the
same size? What shapes are 'left over'? What shapes can you make
when the circles are different sizes?
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.
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.
Can you find all the 4-ball shuffles?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Investigate how logic gates work in circuits.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?