Three equilateral triangles ABC, AYX and XZB are drawn with the
point X a moveable point on AB. The points P, Q and R are the
centres of the three triangles. What can you say about triangle
Can you discover whether this is a fair game?
This is an interactivity in which you have to sort into the correct
order the steps in the proof of the formula for the sum of a
This is an interactivity in which you have to sort the steps in the
completion of the square into the correct order to prove the
formula for the solutions of quadratic equations.
Prove Pythagoras' Theorem using enlargements and scale factors.
Can you work through these direct proofs, using our interactive
Use this interactivity to sort out the steps of the proof of the formula for the sum of an arithmetic series. The 'thermometer' will tell you how you are doing
Find the vertices of a pentagon given the midpoints of its sides.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
To avoid losing think of another very well known game where the
patterns of play are similar.
Show that for any triangle it is always possible to construct 3
touching circles with centres at the vertices. Is it possible to
construct touching circles centred at the vertices of any polygon?
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 enables you to investigate tessellations of
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. . . .
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Can you locate these values on this interactive logarithmic scale?
Discover a handy way to describe reorderings and solve our anagram
in the process.
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 give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
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.
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.
Match the cards of the same value.
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.
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. . . .
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?
Can you beat the computer in the challenging strategy game?
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 set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use Excel to explore multiplication of fractions.
How good are you at finding the formula for a number pattern ?
Can you put the 25 coloured tiles into the 5 x 5 square so that no column, no row and no diagonal line have tiles of the same colour in them?
Practise your skills of proportional reasoning with this interactive haemocytometer.
A metal puzzle which led to some mathematical questions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Play countdown with matrices
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 weekly challenge concerning prime numbers.
A collection of resources to support work on Factors and Multiples at Secondary level.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
A group of interactive resources to support work on percentages Key
Use Excel to investigate the effect of translations around a number
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this