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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
Take any parallelogram and draw squares on the sides of the
parallelogram. What can you prove about the quadrilateral formed by
joining the centres of these squares?
Use an Excel spreadsheet to explore long multiplication.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
A collection of our favourite pictorial problems, one for each day
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Here is a chance to play a fractions version of the classic
A tool for generating random integers.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
Play countdown with vectors.
Use Excel to explore multiplication of fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
An Excel spreadsheet with an investigation.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
A mathematically themed crossword.
Match pairs of cards so that they have equivalent ratios.
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.
An environment that enables you to investigate tessellations of
An environment for exploring the properties of small groups.
Match the cards of the same value.
A metal puzzle which led to some mathematical questions.
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
A group of interactive resources to support work on percentages Key
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.
Play countdown with matrices
Play a more cerebral countdown using complex numbers.
The classic vector racing game brought to a screen near you.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Place a red counter in the top left corner of a 4x4 array, which is
covered by 14 other smaller counters, leaving a gap in the bottom
right hand corner (HOME). What is the smallest number of moves. . . .
To avoid losing think of another very well known game where the
patterns of play are similar.
A counter is placed in the bottom right hand corner of a grid. You
toss a coin and move the star according to the following rules: ...
What is the probability that you end up in the top left-hand. . . .
A spherical balloon lies inside a wire frame. How much do you need
to deflate it to remove it from the frame if it remains a sphere?
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Six circles around a central circle make a flower. Watch the flower
as you change the radii in this circle packing. Prove that with the
given ratios of the radii the petals touch and fit perfectly.
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.
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?