Play a more cerebral countdown using complex numbers.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Match pairs of cards so that they have equivalent ratios.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
A group of interactive resources to support work on percentages Key
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 environment that enables you to investigate tessellations of
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
A tool for generating random integers.
Investigate how logic gates work in circuits.
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?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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?
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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.
How good are you at finding the formula for a number pattern ?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A collection of our favourite pictorial problems, one for each day
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
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.
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?
Use Excel to explore multiplication of fractions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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?
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. . . .
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.
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. . . .
Here is a chance to play a fractions version of the classic
Can you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?
A metal puzzle which led to some mathematical questions.
Cellular is an animation that helps you make geometric sequences composed of square cells.
Can you work through these direct proofs, using our interactive
Practise your skills of proportional reasoning with this interactive haemocytometer.
Can you locate these values on this interactive logarithmic scale?
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
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.
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?
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.
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?