Match pairs of cards so that they have equivalent ratios.
Can you make a right-angled triangle on this peg-board by joining up three points round the edge?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
Can you beat the computer in the challenging strategy game?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
An environment that enables you to investigate tessellations of
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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. . . .
What are the areas of these triangles? What do you notice? Can you generalise to other "families" of triangles?
A collection of resources to support work on Factors and Multiples at Secondary level.
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
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!
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?
A tilted square is a square with no horizontal sides. Can you
devise a general instruction for the construction of a square when
you are given just one of its sides?
Discover a handy way to describe reorderings and solve our anagram
in the process.
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?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
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.
Can you find a relationship between the number of dots on the
circle and the number of steps that will ensure that all points are
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
A metal puzzle which led to some mathematical questions.
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?
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Here is a chance to play a fractions version of the classic
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
How good are you at finding the formula for a number pattern ?
Use Excel to explore multiplication of fractions.
Match the cards of the same value.
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
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
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.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
A collection of our favourite pictorial problems, one for each day
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 tool for generating random integers.
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
The classic vector racing game brought to a screen near you.
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Use Excel to practise adding and subtracting fractions.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
Use an interactive Excel spreadsheet to explore number in this
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Use an Excel spreadsheet to explore long multiplication.
Use Excel to investigate the effect of translations around a number
A group of interactive resources to support work on percentages Key