How good are you at finding the formula for a number pattern ?
Play a more cerebral countdown using complex numbers.
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?
Take any parallelogram and draw squares on the sides of the
parallelogram. What can you prove about the quadrilateral formed by
joining the centres of these squares?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
How can we solve equations like 13x + 29y = 42 or 2x +4y = 13 with
the solutions x and y being integers? Read this article to find
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?
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Match pairs of cards so that they have equivalent ratios.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
A mathematically themed crossword.
Use Excel to investigate the effect of translations around a number
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
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.
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?
Have you seen this way of doing multiplication ?
The classic vector racing game brought to a screen near you.
Can you beat the computer in the challenging strategy game?
A collection of our favourite pictorial problems, one for each day
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?
Use Excel to explore multiplication of fractions.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
Here is a chance to play a fractions version of the classic
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Use an interactive Excel spreadsheet to explore number in this
A tool for generating random integers.
Use Excel to practise adding and subtracting fractions.
Use an Excel spreadsheet to explore long multiplication.
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
An Excel spreadsheet with an investigation.
Use an interactive Excel spreadsheet to investigate factors and
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.
Can you beat Piggy in this simple dice game? Can you figure out
Piggy's strategy, and is there a better one?
Can you work through these direct proofs, using our interactive
To avoid losing think of another very well known game where the
patterns of play are similar.
A counter is placed in the bottom right hand corner of a grid. You
toss a coin and move the star according to the following rules: ...
What is the probability that you end up in the top left-hand. . . .
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
Can you locate these values on this interactive logarithmic scale?
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 spherical balloon lies inside a wire frame. How much do you need
to deflate it to remove it from the frame if it remains a sphere?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Make and prove a conjecture about the cyclic quadrilateral
inscribed in a circle of radius r that has the maximum perimeter and the maximum area.
A metal puzzle which led to some mathematical questions.
Match the cards of the same value.
Can you work out which spinners were used to generate the frequency charts?
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. . . .