How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?
Estimate areas using random grids
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.
Are these statistical statements sometimes, always or never true?
Or it is impossible to say?
Use your skill and judgement to match the sets of random data.
How do you choose your planting levels to minimise the total loss
at harvest time?
A problem about genetics and the transmission of disease.
Which countries have the most naturally athletic populations?
Simple models which help us to investigate how epidemics grow and die out.
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?
Explore the properties of perspective drawing.
Can you make matrices which will fix one lucky vector and crush another to zero?
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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
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.
See how enormously large quantities can cancel out to give a good
approximation to the factorial function.
Explore the shape of a square after it is transformed by the action
of a matrix.
Is it really greener to go on the bus, or to buy local?
Can Jo make a gym bag for her trainers from the piece of fabric she has?
Which line graph, equations and physical processes go together?
Why MUST these statistical statements probably be at least a little
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Explore the meaning behind the algebra and geometry of matrices
with these 10 individual problems.
Use vectors and matrices to explore the symmetries of crystals.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Formulate and investigate a simple mathematical model for the design of a table mat.
Looking at small values of functions. Motivating the existence of
the Taylor expansion.
Can you work out which processes are represented by the graphs?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
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. . . .
How would you design the tiering of seats in a stadium so that all spectators have a good view?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
Can you work out what this procedure is doing?
Get some practice using big and small numbers in chemistry.
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
Invent scenarios which would give rise to these probability density functions.
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.
This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.
Which pdfs match the curves?
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Which dilutions can you make using only 10ml pipettes?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Explore how matrices can fix vectors and vector directions.
How much energy has gone into warming the planet?
By exploring the concept of scale invariance, find the probability
that a random piece of real data begins with a 1.