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. . . .
This is the section of stemNRICH devoted to the advanced applied
mathematics underlying the study of the sciences at higher levels
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
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. . . .
engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering
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. . . .
This is about a fiendishly difficult jigsaw and how to solve it
using a computer program.
First in our series of problems on population dynamics for advanced students.
Second in our series of problems on population dynamics for advanced students.
Invent scenarios which would give rise to these probability density functions.
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
Third 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?
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.
Problem solving is at the heart of the NRICH site. All the problems
give learners opportunities to learn, develop or use mathematical
concepts and skills. Read here for more information.
Fourth in our series of problems on population dynamics for advanced students.
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.
Sixth 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.
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. . . .
Fifth in our series of problems on population dynamics for advanced students.
Formulate and investigate a simple mathematical model for the design of a table mat.
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.
Simple models which help us to investigate how epidemics grow and die out.
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.
Look at the calculus behind the simple act of a car going over a
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.
Why MUST these statistical statements probably be at least a little
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
How many eggs should a bird lay to maximise the number of chicks
that will hatch? An introduction to optimisation.
Work in groups to try to create the best approximations to these
See how the motion of the simple pendulum is not-so-simple after
How do scores on dice and factors of polynomials relate to each
The third installment in our series on the shape of astronomical systems, this article explores galaxies and the universe beyond our solar system.
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?
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
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?
Learn about the link between logical arguments and electronic circuits. Investigate the logical connectives by making and testing your own circuits and fill in the blanks in truth tables to record. . . .
First of all, pick the number of times a week that you would like
to eat chocolate. Multiply this number by 2...
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
At Holborn underground station there is a very long escalator. Two
people are in a hurry and so climb the escalator as it is moving
upwards, thus adding their speed to that of the moving steps. . . .
If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.
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?