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?
This resources contains a series of interactivities designed to
support work on transformations at Key Stage 4.
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?
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?
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
A collection of our favourite pictorial problems, one for each day
A tool for generating random integers.
How good are you at finding the formula for a number pattern ?
A mathematically themed crossword.
An environment for exploring the properties of small groups.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
Match pairs of cards so that they have equivalent ratios.
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use Excel to explore multiplication of fractions.
Help the bee to build a stack of blocks far enough to save his
friend trapped in the tower.
Use Excel to practise adding and subtracting fractions.
Use an interactive Excel spreadsheet to investigate factors and
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.
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.
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?
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.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
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
Can you beat the computer in the challenging strategy game?
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.
To avoid losing think of another very well known game where the
patterns of play are similar.
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.
Match the cards of the same value.
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.
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
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.
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.
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. . . .
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. . . .
Can you locate these values on this interactive logarithmic scale?
Play countdown with vectors.
A weekly challenge concerning prime numbers.
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.
Play countdown with matrices
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?