Try to move the knight to visit each square once and return to the starting point on this unusual chessboard.
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?
Find all the ways of placing the numbers 1 to 9 on a W shape, with
3 numbers on each leg, so that each set of 3 numbers has the same
With red and blue beads on a circular wire; 'put a red bead between
any two of the same colour and a blue between different colours
then remove the original beads'. Keep repeating this. What happens?
Find the frequency distribution for ordinary English, and use it to help you crack the code.
A collection of resources to support work on Factors and Multiples at Secondary level.
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.
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.
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?
A collection of our favourite pictorial problems, one for each day
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. . . .
Cellular is an animation that helps you make geometric sequences
composed of square cells.
Here is a chance to play a fractions version of the classic
Use Excel to explore multiplication of fractions.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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!
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?
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.
Re-arrange the pieces of the puzzle to form a rectangle and then to
form an equilateral triangle. Calculate the angles and lengths.
A tool for generating random integers.
Practise your skills of proportional reasoning with this interactive haemocytometer.
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 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?
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?
How good are you at finding the formula for a number pattern ?
Can you beat the computer in the challenging strategy game?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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.
Is this a fair game? How many ways are there of creating a fair
game by adding odd and even numbers?
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. . . .
Can you locate these values on this interactive logarithmic scale?
To avoid losing think of another very well known game where the
patterns of play are similar.
Discover a handy way to describe reorderings and solve our anagram
in the process.
Balancing interactivity with springs and weights.
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.
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.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
An environment that enables you to investigate tessellations of
Use an Excel spreadsheet to explore long multiplication.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to practise adding and subtracting fractions.
An Excel spreadsheet with an investigation.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this