How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Are these statistical statements sometimes, always or never true? Or it is impossible to say?
How do you choose your planting levels to minimise the total loss at harvest time?
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 much energy has gone into warming the planet?
Use vectors and matrices to explore the symmetries of crystals.
Which of these infinitely deep vessels will eventually full up?
Can you match the charts of these functions to the charts of their integrals?
How would you go about estimating populations of dolphins?
See how enormously large quantities can cancel out to give a good approximation to the factorial function.
Can you find the volumes of the mathematical vessels?
Can you make matrices which will fix one lucky vector and crush another to zero?
Explore the shape of a square after it is transformed by the action of a matrix.
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
A problem about genetics and the transmission of disease.
Simple models which help us to investigate how epidemics grow and die out.
Explore the properties of matrix transformations with these 10 stimulating questions.
Go on a vector walk and determine which points on the walk are closest to the origin.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
Explore the meaning of the scalar and vector cross products and see how the two are related.
Can you sketch these difficult curves, which have uses in mathematical modelling?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
Which pdfs match the curves?
Analyse these beautiful biological images and attempt to rank them in size order.
Estimate areas using random grids
Use your skill and judgement to match the sets of random data.
Match the descriptions of physical processes to these differential equations.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
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?
Who will be the first investor to pay off their debt?
Explore the relationship between resistance and temperature
Make an accurate diagram of the solar system and explore the concept of a grand conjunction.
Can you work out what this procedure is doing?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Get some practice using big and small numbers in chemistry.
Invent scenarios which would give rise to these probability density functions.
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.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
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.
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
This problem explores the biology behind Rudolph's glowing red nose.
Can you work out which processes are represented by the graphs?
Which dilutions can you make using only 10ml pipettes?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Looking at small values of functions. Motivating the existence of the Taylor expansion.
Explore the properties of perspective drawing.
Where should runners start the 200m race so that they have all run the same distance by the finish?