Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
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. . . .
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use an interactive Excel spreadsheet to explore number in this
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use Excel to practise adding and subtracting fractions.
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?
Match pairs of cards so that they have equivalent ratios.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to investigate factors and
Here is a solitaire type environment for you to experiment with. Which targets can you reach?
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 give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
An Excel spreadsheet with an investigation.
There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?
Use Excel to explore multiplication of fractions.
An animation that helps you understand the game of Nim.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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.
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
What can you say about the values of n that make $7^n + 3^n$ a multiple of 10? Are there other pairs of integers between 1 and 10 which have similar properties?
A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?
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?
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
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.
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
This problem is about investigating whether it is possible to start at one vertex of a platonic solid and visit every other vertex once only returning to the vertex you started at.
To avoid losing think of another very well known game where the
patterns of play are similar.
A game for 2 players that can be played online. Players take it in turns to select a word from the 9 words given. The aim is to select all the occurrences of the same letter.
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?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Here is a chance to play a version of the classic Countdown Game.
Can you break down this conversion process into logical steps?
Can you fill in the mixed up numbers in this dilution calculation?