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?

How do scores on dice and factors of polynomials relate to each other?

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?

Can you break down this conversion process into logical steps?

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

Which exact dilution ratios can you make using only 2 dilutions?

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. . . .

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.

Can you fill in the mixed up numbers in this dilution calculation?

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!

Give your further pure mathematics skills a workout with this interactive and reusable set of activities.

Which dilutions can you make using only 10ml pipettes?

This resource contains interactive problems to support work on number sequences at Key Stage 4.

An environment that enables you to investigate tessellations of regular polygons

On the 3D grid a strange (and deadly) animal is lurking. Using the tracking system can you locate this creature as quickly as possible?

Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?

The interactive diagram has two labelled points, A and B. It is designed to be used with the problem "Cushion Ball"

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.

This resource contains a range of problems and interactivities on the theme of coordinates in two and three dimensions.

Use an Excel spreadsheet to explore long multiplication.

Can you give the coordinates of the vertices of the fifth point in the patterm on this 3D grid?

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 Excel to explore multiplication of fractions.

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 right-angled isosceles triangle is rotated about the centre point of a square. What can you say about the area of the part of the square covered by the triangle as it rotates?

There are 27 small cubes in a 3 x 3 x 3 cube, 54 faces being visible at any one time. Is it possible to reorganise these cubes so that by dipping the large cube into a pot of paint three times you. . . .

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?

Use an Excel to investigate division. Explore the relationships between the process elements using an interactive spreadsheet.

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.

Explore displacement/time and velocity/time graphs with this mouse motion sensor.

Can you locate these values on this interactive logarithmic scale?

Use an interactive Excel spreadsheet to investigate factors and multiples.

Square It game for an adult and child. Can you come up with a way of always winning this game?

Use Excel to practise adding and subtracting fractions.

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?

A weekly challenge concerning prime numbers.

Use Excel to investigate the effect of translations around a number grid.

To avoid losing think of another very well known game where the patterns of play are similar.

Practice your skills of measurement and estimation using this interactive measurement tool based around fascinating images from biology.

Use an interactive Excel spreadsheet to explore number in this exciting game!

A simple file for the Interactive whiteboard or PC screen, demonstrating equivalent fractions.

An Excel spreadsheet with an investigation.

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 game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.

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?

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 moves.

This set of resources for teachers offers interactive environments to support work on loci at Key Stage 4.