The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
This is about a fiendishly difficult jigsaw and how to solve it
using a computer program.
Explain why, when moving heavy objects on rollers, the object moves
twice as fast as the rollers. Try a similar experiment yourself.
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
How do these modelling assumption affect the solutions?
A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same. . . .
Why MUST these statistical statements probably be at least a little
See how differential equations might be used to make a realistic
model of a system containing predators and their prey.
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 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.
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?
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.
An account of how mathematics is used in computer games including
geometry, vectors, transformations, 3D graphics, graph theory and
The builders have dug a hole in the ground to be filled with concrete for the foundations of our garage. How many cubic metres of ready-mix concrete should the builders order to fill this hole to. . . .
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
At what positions and speeds can the bomb be dropped to destroy the
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.
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?
This article for students introduces the idea of naming knots using numbers. You'll need some paper and something to write with handy!
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?
First of all, pick the number of times a week that you would like
to eat chocolate. Multiply this number by 2...
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?
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.
A brief video explaining the idea of a mathematical knot.
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?
A player has probability 0.4 of winning a single game. What is his
probability of winning a 'best of 15 games' tournament?