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?
Find the vertices of a pentagon given the midpoints of its sides.
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?
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
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.
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?
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. . . .
Discover a handy way to describe reorderings and solve our anagram
in the process.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Match pairs of cards so that they have equivalent ratios.
An environment that enables you to investigate tessellations of
To avoid losing think of another very well known game where the
patterns of play are similar.
A tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
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.
Square It game for an adult and child. Can you come up with a way of always winning this game?
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. . . .
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
A metal puzzle which led to some mathematical questions.
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?
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. . . .
This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!
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 beat the computer in the challenging strategy game?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Match the cards of the same value.
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?
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
Use an interactive Excel spreadsheet to explore number in this
A group of interactive resources to support work on percentages Key
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to investigate factors and
Use Excel to investigate the effect of translations around a number
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.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
An Excel spreadsheet with an investigation.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A collection of resources to support work on Factors and Multiples at Secondary level.
Use Excel to practise adding and subtracting fractions.