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.
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Prove Pythagoras Theorem using enlargements and scale factors.
Show that for any triangle it is always possible to construct 3
touching circles with centres at the vertices. Is it possible to
construct touching circles centred at the vertices of any polygon?
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 discover whether this is a fair game?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Here is a chance to play a fractions version of the classic
This is an interactivity in which you have to sort the steps in the
completion of the square into the correct order to prove the
formula for the solutions of quadratic equations.
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?
Use Excel to investigate the effect of translations around a number
To avoid losing think of another very well known game where the
patterns of play are similar.
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 interactive problems to support work on
number sequences at Key Stage 4.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
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?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use an interactive Excel spreadsheet to explore number in this
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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.
A metal puzzle which led to some mathematical questions.
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?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
We can show that (x + 1)² = x² + 2x + 1 by considering
the area of an (x + 1) by (x + 1) square. Show in a similar way
that (x + 2)² = x² + 4x + 4
Find the vertices of a pentagon given the midpoints of its sides.
An Excel spreadsheet with an investigation.
A tool for generating random integers.
Use Excel to practise adding and subtracting fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The classic vector racing game brought to a screen near you.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use an Excel spreadsheet to explore long multiplication.
A collection of our favourite pictorial problems, one for each day
Use an interactive Excel spreadsheet to investigate factors and
You can move the 4 pieces of the jigsaw and fit them into both
outlines. Explain what has happened to the missing one unit of
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.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
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. . . .
Can you beat the computer in the challenging strategy game?
Can you find all the 4-ball shuffles?