There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
Triangle ABC has equilateral triangles drawn on its edges. Points
P, Q and R are the centres of the equilateral triangles. What can
you prove about the triangle PQR?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Use Excel to practise adding and subtracting fractions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use an interactive Excel spreadsheet to investigate factors and
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
Use Excel to explore multiplication of fractions.
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
A right-angled isosceles triangle is rotated about the centre point
of a square. What can you say about the area of the part of the
square covered by the triangle as it rotates?
There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being
visible at any one time. Is it possible to reorganise these cubes
so that by dipping the large cube into a pot of paint three times
you. . . .
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Match pairs of cards so that they have equivalent ratios.
An Excel spreadsheet with an investigation.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
Here is a chance to play a fractions version of the classic
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A metal puzzle which led to some mathematical questions.
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.
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.
P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
To avoid losing think of another very well known game where the
patterns of play are similar.
An environment that enables you to investigate tessellations of
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Discover a handy way to describe reorderings and solve our anagram
in the process.
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. . . .
in how many ways can you place the numbers 1, 2, 3 … 9 in the
nine regions of the Olympic Emblem (5 overlapping circles) so that
the amount in each ring is the same?
Rotate a copy of the trapezium about the centre of the longest side
of the blue triangle to make a square. Find the area of the square
and then derive a formula for the area of the trapezium.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
A point P is selected anywhere inside an equilateral triangle. What
can you say about the sum of the perpendicular distances from P to
the sides of the triangle? Can you prove your conjecture?
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.
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
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A group of interactive resources to support work on percentages Key
Can you be the first to complete a row of three?
Can you beat the computer in the challenging strategy game?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Match the cards of the same value.
A java applet that takes you through the steps needed to solve a
Diophantine equation of the form Px+Qy=1 using Euclid's algorithm.