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?
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.
Use an interactive Excel spreadsheet to investigate factors and
Here is a chance to play a fractions version of the classic
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
Use Excel to explore multiplication of fractions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Match pairs of cards so that they have equivalent ratios.
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?
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 metal puzzle which led to some mathematical questions.
An environment that enables you to investigate tessellations of
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Investigate how logic gates work in circuits.
A group of interactive resources to support work on percentages Key
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
How good are you at finding the formula for a number pattern ?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
The classic vector racing game brought to a screen near you.
Have you seen this way of doing multiplication ?
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.
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
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.
Can you beat the computer in the challenging strategy game?
It is possible to identify a particular card out of a pack of 15
with the use of some mathematical reasoning. What is this reasoning
and can it be applied to other numbers of cards?
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. . . .
Match the cards of the same value.
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?
Ask a friend to choose a number between 1 and 63. By identifying which of the six cards contains the number they are thinking of it is easy to tell them what the number is.
Can you be the first to complete a row of three?
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. . . .
A point P is selected anywhere inside an equilateral triangle. What
can you say about the sum of the perpendicular distances from P to
the sides of the triangle? Can you prove your conjecture?
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. . . .
Four cards are shuffled and placed into two piles of two. Starting with the first pile of cards - turn a card over...
You win if all your cards end up in the trays before you run out of cards in. . . .
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?