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 practise adding and subtracting fractions.
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
An Excel spreadsheet with an investigation.
Prove Pythagoras Theorem using enlargements and scale factors.
Match pairs of cards so that they have equivalent ratios.
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 investigate factors and
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?
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?
Use Excel to explore multiplication of fractions.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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.
The classic vector racing game brought to a screen near you.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Here is a chance to play a fractions version of the classic
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
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. . . .
How good are you at finding the formula for a number pattern ?
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. . . .
Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance. . . .
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
Discover a handy way to describe reorderings and solve our anagram
in the process.
Can you beat the computer in the challenging strategy game?
Match the cards of the same value.
An environment that enables you to investigate tessellations of
A metal puzzle which led to some mathematical questions.
A collection of resources to support work on Factors and Multiples at Secondary level.
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.
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. . . .
Find the vertices of a pentagon given the midpoints of its sides.
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
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
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. . . .
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?