Play a more cerebral countdown using complex numbers.
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?
Play countdown with matrices
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?
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
A mathematically themed crossword.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
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
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
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?
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?
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
Use Excel to explore multiplication of fractions.
How good are you at finding the formula for a number pattern ?
An environment that enables you to investigate tessellations of
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
Use an interactive Excel spreadsheet to investigate factors and
Use an Excel spreadsheet to explore long multiplication.
Use Excel to practise adding and subtracting fractions.
Play countdown with vectors.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
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 explore number in this
Use Excel to investigate the effect of translations around a number
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?
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 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. . . .
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.
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 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. . . .
How good are you at estimating angles?
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
Try this interactivity to familiarise yourself with the proof that the square root of 2 is irrational. Sort the steps of the proof into the correct order.
Six circles around a central circle make a flower. Watch the flower
as you change the radii in this circle packing. Prove that with the
given ratios of the radii the petals touch and fit perfectly.
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.
Use this animation to experiment with lotteries. Choose how many
balls to match, how many are in the carousel, and how many draws to
make at once.
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. . . .
Match the cards of the same value.
A metal puzzle which led to some mathematical questions.
Can you locate these values on this interactive logarithmic scale?
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Can you work through these direct proofs, using our interactive