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 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.
To avoid losing think of another very well known game where the patterns of play are similar.
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.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
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.
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 discover whether this is a fair game?
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?
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.
Can you beat the computer in the challenging strategy game?
Can you beat Piggy in this simple dice game? Can you figure out Piggy's strategy, and is there a better one?
Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.
Use an interactive Excel spreadsheet to explore number in this exciting game!
Use Excel to investigate the effect of translations around a number grid.
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?
Can you be the first to complete a row of three?
An environment that enables you to investigate tessellations of regular polygons
Use an interactive Excel spreadsheet to investigate factors and multiples.
Match pairs of cards so that they have equivalent ratios.
Use Excel to practise adding and subtracting 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
This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.
Use Excel to explore multiplication of fractions.
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Help the bee to build a stack of blocks far enough to save his friend trapped in the tower.
Match the cards of the same value.
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.
How good are you at estimating angles?
The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"
Can you find all the 4-ball shuffles?
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
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. . . .
Euler discussed whether or not it was possible to stroll around Koenigsberg crossing each of its seven bridges exactly once. Experiment with different numbers of islands and bridges.
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 area.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Do you know how to find the area of a triangle? You can count the squares. What happens if we turn the triangle on end? Press the button and see. Try counting the number of units in the triangle now. . . .
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?
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?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?
Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
Discover a handy way to describe reorderings and solve our anagram in the process.
How good are you at finding the formula for a number pattern ?