What is the quickest route across a ploughed field when your speed
around the edge is greater?
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.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
Match the cards of the same value.
Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.
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!
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. . . .
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
An environment that enables you to investigate tessellations of
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.
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Discover a handy way to describe reorderings and solve our anagram
in the process.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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?
Can you beat the computer in the challenging strategy game?
Can you locate these values on this interactive logarithmic scale?
Here is a chance to play a fractions version of the classic
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
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.
Cellular is an animation that helps you make geometric sequences composed of square cells.
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?
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. . . .
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 collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
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 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.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
To avoid losing think of another very well known game where the
patterns of play are similar.
Practise your skills of proportional reasoning with this interactive haemocytometer.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
An Excel spreadsheet with an investigation.
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.
This set of resources for teachers offers interactive environments
to support work on graphical interpretation at Key Stage 4.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Play countdown with matrices
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Square It game for an adult and child. Can you come up with a way of always winning this game?
Balancing interactivity with springs and weights.