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?
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?
Use Excel to explore multiplication of fractions.
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?
To avoid losing think of another very well known game where the
patterns of play are similar.
It's easy to work out the areas of most squares that we meet, but
what if they were tilted?
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
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Discover a handy way to describe reorderings and solve our anagram
in the process.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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?
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
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?
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 tool for generating random integers.
A collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
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.
Square It game for an adult and child. Can you come up with a way of always winning this game?
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. . . .
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 ?
Can you beat the computer in the challenging strategy game?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Match the cards of the same value.
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
A metal puzzle which led to some mathematical questions.
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.
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. . . .
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
Use an interactive Excel spreadsheet to explore number in this
Use Excel to investigate the effect of translations around a number
A group of interactive resources to support work on percentages Key
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.
7 balls are shaken in a container. You win if the two blue balls
touch. What is the probability of winning?
A collection of resources to support work on Factors and Multiples at Secondary level.
An Excel spreadsheet with an investigation.
Use Excel to practise adding and subtracting fractions.
Six balls of various colours are randomly shaken into a trianglular
arrangement. What is the probability of having at least one red in
Use an interactive Excel spreadsheet to investigate factors and
Find the vertices of a pentagon given the midpoints of its sides.
Use an Excel spreadsheet to explore long multiplication.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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?