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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Learn how to use the Shuffles interactivity by running through these tutorial demonstrations.
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?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
Balancing interactivity with springs and weights.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Match pairs of cards so that they have equivalent ratios.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use Excel to practise adding and subtracting fractions.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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?
Use an interactive Excel spreadsheet to investigate factors and
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
An Excel spreadsheet with an investigation.
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 classic vector racing game brought to a screen near you.
Here is a chance to play a fractions version of the classic
Use Excel to explore multiplication of fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
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 interactivity invites you to make conjectures and explore
probabilities of outcomes related to two independent events.
Can you beat the computer in the challenging strategy game?
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. . . .
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 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?
Rotate a copy of the trapezium about the centre of the longest side
of the blue triangle to make a square. Find the area of the square
and then derive a formula for the area of the trapezium.
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 find all the 4-ball shuffles?
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?
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. . . .
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 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?
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.
An environment that enables you to investigate tessellations of