Play countdown with matrices
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?
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?
A collection of our favourite pictorial problems, one for each day
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
Play countdown with vectors.
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 resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
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"
Use an Excel spreadsheet to explore long multiplication.
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?
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.
The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
An Excel spreadsheet with an investigation.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Use an interactive Excel spreadsheet to investigate factors and
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 mathematically themed crossword.
Find the vertices of a pentagon given the midpoints of its sides.
An environment that enables you to investigate tessellations of
Match pairs of cards so that they have equivalent ratios.
Play a more cerebral countdown using complex numbers.
Overlaying pentominoes can produce some effective patterns. Why not
use LOGO to try out some of the ideas suggested here?
Use Excel to explore multiplication of fractions.
A group of interactive resources to support work on percentages Key
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use Excel to practise adding and subtracting fractions.
On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?
Here is a chance to play a fractions version of the classic
Use an Excel to investigate division. Explore the relationships
between the process elements using an interactive spreadsheet.
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 environment for exploring the properties of small groups.
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. . . .
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.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
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 weekly challenge concerning prime numbers.
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.
Mathmo is a revision tool for post-16 mathematics. It's great installed as a smartphone app, but it works well in pads and desktops and notebooks too. Give yourself a mathematical workout!
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.
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?
How good are you at finding the formula for a number pattern ?