Discover a handy way to describe reorderings and solve our anagram
in the process.
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?
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?
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use Excel to investigate the effect of translations around a number
A group of interactive resources to support work on percentages Key
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Use an Excel spreadsheet to explore long multiplication.
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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Match pairs of cards so that they have equivalent ratios.
Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Use an interactive Excel spreadsheet to investigate factors and
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
An environment that enables you to investigate tessellations of
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Balancing interactivity with springs and weights.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
This set of resources for teachers offers interactive environments
to support work on loci 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.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over...
You win if all your cards end up in the trays before you run out of cards in. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
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?
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?
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?
What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?
A and B are two interlocking cogwheels having p teeth and q teeth respectively. One tooth on B is painted red. Find the values of p and q for which the red tooth on B contacts every gap on the. . . .
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 rectangle is cut into five pieces which fit exactly into a triangular outline and also into a square outline where the triangle, the rectangle and the square have equal areas.
Can you beat the computer in the challenging strategy game?
Practise your skills of proportional reasoning with this interactive haemocytometer.
An animation that helps you understand the game of Nim.
How good are you at finding the formula for a number pattern ?
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?