Find the vertices of a pentagon given the midpoints of its sides.
Can you make a right-angled triangle on this peg-board by joining
up three points round the edge?
To avoid losing think of another very well known game where the
patterns of play are similar.
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?
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 beat the computer in the challenging strategy game?
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
This is an interactivity in which you have to sort the steps in the
completion of the square into the correct order to prove the
formula for the solutions of quadratic equations.
Can you discover whether this is a fair game?
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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.
A collection of resources to support work on Factors and Multiples at Secondary level.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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?
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. . . .
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?
What is the relationship between the angle at the centre and the
angles at the circumference, for angles which stand on the same
arc? Can you prove it?
A group of interactive resources to support work on percentages Key
An environment that enables you to investigate tessellations of
Discover a handy way to describe reorderings and solve our anagram
in the process.
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.
Match pairs of cards so that they have equivalent ratios.
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!
A tool for generating random integers.
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.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
A metal puzzle which led to some mathematical questions.
Use Excel to investigate the effect of translations around a number
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Here is a chance to play a fractions version of the classic
Cellular is an animation that helps you make geometric sequences
composed of square cells.
A collection of our favourite pictorial problems, one for each day
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
An Excel spreadsheet with an investigation.
The classic vector racing game brought to a screen near you.
Match the cards of the same value.
How many different triangles can you make which consist of the
centre point and two of the points on the edge? Can you work out
each of their angles?
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
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
Use an interactive Excel spreadsheet to investigate factors and
Square It game for an adult and child. Can you come up with a way of always winning this game?