Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Where should runners start the 200m race so that they have all run the same distance by the finish?
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 would you design the tiering of seats in a stadium so that all spectators have a good view?
A problem about genetics and the transmission of disease.
How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Is it really greener to go on the bus, or to buy local?
Does weight confer an advantage to shot putters?
Have you ever wondered what it would be like to race against Usain Bolt?
Can you work out what this procedure is doing?
By exploring the concept of scale invariance, find the probability
that a random piece of real data begins with a 1.
Which line graph, equations and physical processes go together?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Work out the numerical values for these physical quantities.
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Why MUST these statistical statements probably be at least a little
Which dilutions can you make using only 10ml pipettes?
Get further into power series using the fascinating Bessel's equation.
Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.
How do you choose your planting levels to minimise the total loss
at harvest time?
Explore the properties of perspective drawing.
Looking at small values of functions. Motivating the existence of
the Taylor expansion.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Formulate and investigate a simple mathematical model for the design of a table mat.
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Simple models which help us to investigate how epidemics grow and die out.
See how enormously large quantities can cancel out to give a good
approximation to the factorial function.
Explore the meaning of the scalar and vector cross products and see how the two are related.
Go on a vector walk and determine which points on the walk are
closest to the origin.
Use trigonometry to determine whether solar eclipses on earth can be perfect.
Get some practice using big and small numbers in chemistry.
How much energy has gone into warming the planet?
Build up the concept of the Taylor series
When you change the units, do the numbers get bigger or smaller?
Use your skill and judgement to match the sets of random data.
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Estimate areas using random grids
Explore the possibilities for reaction rates versus concentrations
with this non-linear differential equation
Look at the advanced way of viewing sin and cos through their power series.
Match the descriptions of physical processes to these differential
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?
Which units would you choose best to fit these situations?
Are these statistical statements sometimes, always or never true?
Or it is impossible to say?
Explore the relationship between resistance and temperature
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.