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?
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?
Play a more cerebral countdown using complex numbers.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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?
Here is a chance to play a fractions version of the classic
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 game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use Excel to explore multiplication of fractions.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
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
A mathematically themed crossword.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
How good are you at finding the formula for a number pattern ?
Match pairs of cards so that they have equivalent ratios.
An environment that enables you to investigate tessellations of
An environment for exploring the properties of small groups.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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.
A group of interactive resources to support work on percentages Key
Play countdown with vectors.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Play countdown with matrices
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.
The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
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
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
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?
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.
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
Make and prove a conjecture about the cyclic quadrilateral
inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
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?
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. . . .