A metal puzzle which led to some mathematical questions.
Use Excel to explore multiplication of fractions.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use Excel to practise adding and subtracting fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to investigate factors and
Use an interactive Excel spreadsheet to explore number in this
An Excel spreadsheet with an investigation.
Use Excel to investigate the effect of translations around a number
Here is a chance to play a fractions version of the classic
An environment that enables you to investigate tessellations of
A collection of our favourite pictorial problems, one for each day
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.
A tool for generating random integers.
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 collection of resources to support work on Factors and Multiples at Secondary level.
Match the cards of the same value.
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. . . .
Square It game for an adult and child. Can you come up with a way of always winning this game?
The classic vector racing game brought to a screen near you.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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.
Can you beat the computer in the challenging strategy game?
Can you be the first to complete a row of three?
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.
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 beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
Cellular is an animation that helps you make geometric sequences
composed of square cells.
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
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?
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.
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.
Can you discover whether this is a fair game?
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. . . .
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
Triangle numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Can you work out which spinners were used to generate the frequency charts?
How many times in twelve hours do the hands of a clock form a right
angle? Use the interactivity to check your answers.
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
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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?
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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?