How do scores on dice and factors of polynomials relate to each
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?
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?
Which exact dilution ratios can you make using only 2 dilutions?
Which dilutions can you make using 10ml pipettes and 100ml
Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.
Which dilutions can you make using only 10ml pipettes?
Can you fill in the mixed up numbers in this dilution calculation?
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?
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. . . .
Can you break down this conversion process into logical steps?
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!
Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.
Give your further pure mathematics skills a workout with this interactive and reusable set of activities.
To avoid losing think of another very well known game where the
patterns of play are similar.
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.
The interactive diagram has two labelled points, A and B. It is
designed to be used with the problem "Cushion Ball"
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.
Use Excel to explore multiplication of fractions.
The opposite vertices of a square have coordinates (a,b) and (c,d). What are the coordinates of the other vertices?
Prove Pythagoras' Theorem using enlargements and scale factors.
Can you give the coordinates of the vertices of the fifth point in
the patterm on this 3D grid?
An environment that enables you to investigate tessellations of
This is an interactivity in which you have to sort into the correct
order the steps in the proof of the formula for the sum of a
This set of resources for teachers offers interactive environments
to support work on loci at Key Stage 4.
A collection of our favourite pictorial problems, one for each day
Here is a chance to play a fractions version of the classic
A tool for generating random integers.
This game challenges you to locate hidden triangles in The White
Box by firing rays and observing where the rays exit the Box.
Play countdown with matrices
Can you work through these direct proofs, using our interactive
This resource contains interactive problems to support work on
number sequences at Key Stage 4.
Use this interactivity to sort out the steps of the proof of the formula for the sum of an arithmetic series. The 'thermometer' will tell you how you are doing
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
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 pairs of cards so that they have equivalent ratios.
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
If you continue the pattern, can you predict what each of the following areas will be? Try to explain your prediction.
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.
An Excel spreadsheet with an investigation.
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?
A simple file for the Interactive whiteboard or PC screen,
demonstrating equivalent fractions.
What is the quickest route across a ploughed field when your speed
around the edge is greater?
This resource contains a range of problems and interactivities on
the theme of coordinates in two and three dimensions.
Use Excel to investigate the effect of translations around a number
Use an interactive Excel spreadsheet to explore number in this
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.