Filter by: Content type: ALL Problems Articles Games Stage: All Stage 1&2 Stage 2&3 Stage 3&4 Stage 4&5 Challenge level:
chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .
engNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of engineering
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
An article about the kind of maths a first year undergraduate in physics, engineering and other physical sciences courses might encounter. The aim is to highlight the link between particular maths. . . .
Explore displacement/time and velocity/time graphs with this mouse motion sensor.
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.
Follow in the steps of Newton and find the path that the earth follows around the sun.
Can you work out the natural time scale for the universe?
How fast would you have to throw a ball upwards so that it would never land?
A simplified account of special relativity and the twins paradox.
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?
Find out why water is one of the most amazing compounds in the universe and why it is essential for life. - UNDER DEVELOPMENT
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Get some practice using big and small numbers in chemistry.
This is the technology section of stemNRICH - Core.
How high will a ball taking a million seconds to fall travel?
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'.
Have you got the Mach knack? Discover the mathematics behind exceeding the sound barrier.
Read all about electromagnetism in our interactive article.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Find out some of the mathematics behind neural networks.
What is an AC voltage? How much power does an AC power source supply?
A look at a fluid mechanics technique called the Steady Flow Momentum Equation.
Where will the spaceman go when he falls through these strange planetary systems?
Problems which make you think about the kinetic ideas underlying the ideal gas laws.
Investigate why the Lennard-Jones potential gives a good approximate explanation for the behaviour of atoms at close ranges
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.
Investigate the effects of the half-lifes of the isotopes of cobalt on the mass of a mystery lump of the element.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms
Things are roughened up and friction is now added to the approximate simple pendulum
Explore the power of aeroplanes, spaceships and horses.
Explore the energy of this incredibly energetic particle which struck Earth on October 15th 1991
Can you arrange a set of charged particles so that none of them start to move when released from rest?
Work out the numerical values for these physical quantities.
An article demonstrating mathematically how various physical modelling assumptions affect the solution to the seemingly simple problem of the projectile.
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
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?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Advanced problems in the mathematical sciences.
Which line graph, equations and physical processes go together?
Explore how can changing the axes for a plot of an equation can lead to different shaped graphs emerging
When a mixture of gases burn, will the volume change?