Work in groups to try to create the best approximations to these physical quantities.

Which line graph, equations and physical processes go together?

See how the motion of the simple pendulum is not-so-simple after all.

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

Look at the calculus behind the simple act of a car going over a step.

Ever wondered what it would be like to vaporise a diamond? Find out inside...

This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

Get some practice using big and small numbers in chemistry.

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

How fast would you have to throw a ball upwards so that it would never land?

Work out the numerical values for these physical quantities.

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

How does the half-life of a drug affect the build up of medication in the body over time?

Show that even a very powerful spaceship would eventually run out of overtaking power

Problems which make you think about the kinetic ideas underlying the ideal gas laws.

Can you work out the natural time scale for the universe?

A ball whooshes down a slide and hits another ball which flies off the slide horizontally as a projectile. How far does it go?

Find the equation from which to calculate the resistance of an infinite network of resistances.

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

Where will the spaceman go when he falls through these strange planetary systems?

How high will a ball taking a million seconds to fall travel?

Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges

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?

Which units would you choose best to fit these situations?

When you change the units, do the numbers get bigger or smaller?

Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.

What is an AC voltage? How much power does an AC power source supply?

Investigate some of the issues raised by Geiger and Marsden's famous scattering experiment in which they fired alpha particles at a sheet of gold.

Explore the Lorentz force law for charges moving in different ways.

Look at the units in the expression for the energy levels of the electrons in a hydrogen atom according to the Bohr model.

A look at a fluid mechanics technique called the Steady Flow Momentum Equation.

Gravity on the Moon is about 1/6th that on the Earth. A pole-vaulter 2 metres tall can clear a 5 metres pole on the Earth. How high a pole could he clear on the Moon?

A look at different crystal lattice structures, and how they relate to structural properties

Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991

A think about the physics of a motorbike riding upside down

Some explanations of basic terms and some phenomena discovered by ancient astronomers

An introduction to a useful tool to check the validity of an equation.

Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging