This article explains the concepts involved in scientific
mathematical computing. It will be very useful and interesting to
anyone interested in computer programming or mathematics.
This is about a fiendishly difficult jigsaw and how to solve it
using a computer program.
The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
To win on a scratch card you have to uncover three numbers that add
up to more than fifteen. What is the probability of winning a
At what positions and speeds can the bomb be dropped to destroy the
A player has probability 0.4 of winning a single game. What is his
probability of winning a 'best of 15 games' tournament?
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
bioNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of the biological sciences,
designed to help develop the mathematics required to get the most
from your. . . .
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
Work in groups to try to create the best approximations to these
In this article for teachers, Alan Parr looks at ways that
mathematics teaching and learning can start from the useful and
interesting things can we do with the subject, including. . . .
See how the motion of the simple pendulum is not-so-simple after
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. . . .
Look at the calculus behind the simple act of a car going over a
Why MUST these statistical statements probably be at least a little
Explain why, when moving heavy objects on rollers, the object moves
twice as fast as the rollers. Try a similar experiment yourself.
An article demonstrating mathematically how various physical
modelling assumptions affect the solution to the seemingly simple
problem of the projectile.
See how differential equations might be used to make a realistic
model of a system containing predators and their prey.
Your school has been left a million pounds in the will of an ex-
pupil. What model of investment and spending would you use in order
to ensure the best return on the money?
This is the section of stemNRICH devoted to the advanced applied
mathematics underlying the study of the sciences at higher levels
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Sixth in our series of problems on population dynamics for advanced students.
Fifth in our series of problems on population dynamics for advanced students.
An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Fourth in our series of problems on population dynamics for advanced students.
Third in our series of problems on population dynamics for advanced students.
This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.
Invent scenarios which would give rise to these probability density functions.
First in our series of problems on population dynamics for advanced students.
Second in our series of problems on population dynamics for advanced students.
Explore the transformations and comment on what you find.
How do these modelling assumption affect the solutions?
The second in a series of articles on visualising and modelling shapes in the history of astronomy.
This article explores ths history of theories about the shape of our planet. It is the first in a series of articles looking at the significance of geometric shapes in the history of astronomy.
The probability that a passenger books a flight and does not turn
up is 0.05. For an aeroplane with 400 seats how many tickets can be
sold so that only 1% of flights are over-booked?
This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
A brief video explaining the idea of a mathematical knot.
Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and record your findings in truth tables.
Edward Wallace based his A Level Statistics Project on The Mean
Game. Each picks 2 numbers. The winner is the player who picks a
number closest to the mean of all the numbers picked.
An account of how mathematics is used in computer games including
geometry, vectors, transformations, 3D graphics, graph theory and
Bricks are 20cm long and 10cm high. How high could an arch be built
without mortar on a flat horizontal surface, to overhang by 1
metre? How big an overhang is it possible to make like this?
Given the graph of a supply network and the maximum capacity for
flow in each section find the maximum flow across the network.
Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?
You have two bags, four red balls and four white balls. You must
put all the balls in the bags although you are allowed to have one
bag empty. How should you distribute the balls between the two. . . .