First of all, pick the number of times a week that you would like
to eat chocolate. Multiply this number by 2...
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.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
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.
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
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. . . .
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.
First in our series of problems on population dynamics for advanced students.
Simple models which help us to investigate how epidemics grow and die out.
Third 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!
Second in our series of problems on population dynamics for advanced students.
Invent scenarios which would give rise to these probability density functions.
See how differential equations might be used to make a realistic
model of a system containing predators and their prey.
How do scores on dice and factors of polynomials relate to each
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
Fancy a game of cricket? Here is a mathematical version you can play indoors without breaking any windows.
A brief video explaining the idea of a mathematical knot.
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
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. . . .
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
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.
An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.
Explain why, when moving heavy objects on rollers, the object moves
twice as fast as the rollers. Try a similar experiment yourself.
Sixth in our series of problems on population dynamics for advanced students.
Fifth in our series of problems on population dynamics for advanced students.
Fourth in our series of problems on population dynamics for advanced students.
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.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
This is the section of stemNRICH devoted to the advanced applied
mathematics underlying the study of the sciences at higher levels
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?
Work in groups to try to create the best approximations to these
Why MUST these statistical statements probably be at least a little
This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.
Formulate and investigate a simple mathematical model for the design of a table mat.
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. . . .
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. . . .
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.
An account of how mathematics is used in computer games including
geometry, vectors, transformations, 3D graphics, graph theory and
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
This is about a fiendishly difficult jigsaw and how to solve it
using a computer program.
At what positions and speeds can the bomb be dropped to destroy the
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 second in a series of articles on visualising and modelling shapes in the history of astronomy.
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?
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?