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.
Overlaying pentominoes can produce some effective patterns. Why not use LOGO to try out some of the ideas suggested here?
Here is a chance to play a fractions version of the classic Countdown Game.
This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.
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?
A collection of our favourite pictorial problems, one for each day of Advent.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and multiples.
Use an interactive Excel spreadsheet to explore number in this exciting game!
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Use an Excel spreadsheet to explore long multiplication.
Use Excel to investigate the effect of translations around a number grid.
Use Excel to practise adding and subtracting fractions.
A tool for generating random integers.
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?
Use Excel to explore multiplication of fractions.
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?
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
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.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
A red square and a blue square overlap so that the corner of the red square rests on the centre of the blue square. Show that, whatever the orientation of the red square, it covers a quarter of the. . . .
A metal puzzle which led to some mathematical questions.
This resource contains interactive problems to support work on number sequences at Key Stage 4.
An environment that enables you to investigate tessellations of regular polygons
Match pairs of cards so that they have equivalent ratios.
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.
Have you seen this way of doing multiplication ?
A group of interactive resources to support work on percentages Key Stage 4.
The classic vector racing game brought to a screen near you.
Match the cards of the same value.
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. . . .
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?
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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. . . .
Practise your skills of proportional reasoning with this interactive haemocytometer.
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.
Prove Pythagoras' Theorem using enlargements and scale factors.
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 total.
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. . . .
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. . . .
To avoid losing think of another very well known game where the patterns of play are similar.
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 moves.