An introduction to a useful tool to check the validity of an equation.
How much energy has gone into warming the planet?
Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?
Is the age of this very old man statistically believable?
Explore the power of aeroplanes, spaceships and horses.
Work out the numerical values for these physical quantities.
Build up the concept of the Taylor series
Explore the properties of this different sort of differential equation.
Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying. . . .
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Formulate and investigate a simple mathematical model for the design of a table mat.
Get further into power series using the fascinating Bessel's equation.
Get some practice using big and small numbers in chemistry.
Look at the advanced way of viewing sin and cos through their power series.
Read all about electromagnetism in our interactive article.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Is it really greener to go on the bus, or to buy local?
Ever wondered what it would be like to vaporise a diamond? Find out inside...
Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices
Read about the mathematics behind the measuring devices used in quantitative chemistry
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Fancy learning a bit more about rates of reaction, but don't know where to look? Come inside and find out more...
Can you deduce why common salt isn't NaCl_2?
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
We all know that smoking poses a long term health risk and has the potential to cause cancer. But what actually happens when you light up a cigarette, place it to your mouth, take a tidal breath. . . .
There has been a murder on the Stevenson estate. Use your analytical chemistry skills to assess the crime scene and identify the cause of death...
How fast would you have to throw a ball upwards so that it would never land?
All types of mathematical problems serve a useful purpose in mathematics teaching, but different types of problem will achieve different learning objectives. In generalmore open-ended problems have. . . .
When is a knot invertible ?
Investigate x to the power n plus 1 over x to the power n when x plus 1 over x equals 1.
Where we follow twizzles to places that no number has been before.
Two perpendicular lines lie across each other and the end points are joined to form a quadrilateral. Eight ratios are defined, three are given but five need to be found.
This article (the first of two) contains ideas for investigations. Space-time, the curvature of space and topology are introduced with some fascinating problems to explore.
What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?
How much peel does an apple have?
Some of our more advanced investigations
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Which parts of these framework bridges are in tension and which parts are in compression?
Explore the properties of combinations of trig functions in this open investigation.
An introduction to bond angle geometry.
Find all the periodic cycles and fixed points in this number sequence using any whole number as a starting point.
Where should runners start the 200m race so that they have all run the same distance by the finish?
Two polygons fit together so that the exterior angle at each end of their shared side is 81 degrees. If both shapes now have to be regular could the angle still be 81 degrees?
Investigate constructible images which contain rational areas.
Take any pair of numbers, say 9 and 14. Take the larger number, fourteen, and count up in 14s. Then divide each of those values by the 9, and look at the remainders.