Discover a handy way to describe reorderings and solve our anagram
in the process.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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?
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?
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?
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
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use an interactive Excel spreadsheet to investigate factors and
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
An environment that enables you to investigate tessellations of
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Match pairs of cards so that they have equivalent ratios.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to explore number in this
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
Use Excel to explore multiplication of fractions.
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.
Balancing interactivity with springs and weights.
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.
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
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?
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. . . .
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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. . . .
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. . . .
To avoid losing think of another very well known game where the
patterns of play are similar.
This interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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.
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
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?
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.
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. . . .
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Square It game for an adult and child. Can you come up with a way of always winning this game?
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?
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?
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.
The classic vector racing game brought to a screen near you.
Use an Excel spreadsheet to explore long multiplication.
How good are you at finding the formula for a number pattern ?
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. . . .