How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
A problem about genetics and the transmission of disease.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Are these estimates of physical quantities accurate?
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.
How would you go about estimating populations of dolphins?
Analyse these beautiful biological images and attempt to rank them in size order.
How much energy has gone into warming the planet?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Work out the numerical values for these physical quantities.
Can you find the volumes of the mathematical vessels?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Does weight confer an advantage to shot putters?
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which line graph, equations and physical processes go together?
Have you ever wondered what it would be like to race against Usain Bolt?
Can you make matrices which will fix one lucky vector and crush another to zero?
Explore the meaning of the scalar and vector cross products and see how the two are related.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Explore how matrices can fix vectors and vector directions.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Get some practice using big and small numbers in chemistry.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Simple models which help us to investigate how epidemics grow and die out.
How would you design the tiering of seats in a stadium so that all spectators have a good view?
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Which dilutions can you make using only 10ml pipettes?
Was it possible that this dangerous driving penalty was issued in error?
Why MUST these statistical statements probably be at least a little bit wrong?
Get further into power series using the fascinating Bessel's equation.
Which units would you choose best to fit these situations?
Match the descriptions of physical processes to these differential equations.
Look at the advanced way of viewing sin and cos through their power series.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation
Build up the concept of the Taylor series
When you change the units, do the numbers get bigger or smaller?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
Here are several equations from real life. Can you work out which measurements are possible from each equation?
This problem explores the biology behind Rudolph's glowing red nose.
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?
Can you match these equations to these graphs?
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?
Invent scenarios which would give rise to these probability density functions.