Discover a handy way to describe reorderings and solve our anagram
in the process.
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?
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?
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.
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Use an interactive Excel spreadsheet to explore number in this
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use Excel to investigate the effect of translations around a number
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use Excel to explore multiplication of fractions.
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. . . .
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 give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Match pairs of cards so that they have equivalent ratios.
Balancing interactivity with springs and weights.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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.
Use Excel to practise adding and subtracting fractions.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
The classic vector racing game brought to a screen near you.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Here is a chance to play a fractions version of the classic
A collection of our favourite pictorial problems, one for each day
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?
An Excel spreadsheet with an investigation.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
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?
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.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
What is the relationship between the angle at the centre and the
angles at the circumference, for angles which stand on the same
arc? Can you prove it?
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.
Can you find all the 4-ball shuffles?
Can you beat the computer in the challenging strategy game?
Mo has left, but Meg is still experimenting. Use the interactivity
to help you find out how she can alter her pouch of marbles and
still keep the two pouches balanced.
P is a point on the circumference of a circle radius r which rolls,
without slipping, inside a circle of radius 2r. What is the locus
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.
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 simple spinner that is equally likely to land on Red or Black. Useful if tossing a coin, dropping it, and rummaging about on the floor have lost their appeal. Needs a modern browser; if IE then at. . . .
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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 beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?