Are these statistical statements sometimes, always or never true? Or it is impossible to say?

How is the length of time between the birth of an animal and the birth of its great great ... great grandparent distributed?

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

Look at the advanced way of viewing sin and cos through their power series.

Was it possible that this dangerous driving penalty was issued in error?

How do you choose your planting levels to minimise the total loss at harvest time?

Get further into power series using the fascinating Bessel's equation.

Explore the properties of matrix transformations with these 10 stimulating questions.

Here are several equations from real life. Can you work out which measurements are possible from each equation?

Which units would you choose best to fit these situations?

Work with numbers big and small to estimate and calculate various quantities in physical contexts.

When you change the units, do the numbers get bigger or smaller?

Which line graph, equations and physical processes go together?

Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation

Estimate these curious quantities sufficiently accurately that you can rank them in order of size

By exploring the concept of scale invariance, find the probability that a random piece of real data begins with a 1.

Use vectors and matrices to explore the symmetries of crystals.

Match the descriptions of physical processes to these differential equations.

Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.

Build up the concept of the Taylor series

See how enormously large quantities can cancel out to give a good approximation to the factorial function.

This problem explores the biology behind Rudolph's glowing red nose.

Looking at small values of functions. Motivating the existence of the Taylor expansion.

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.

Which of these infinitely deep vessels will eventually full up?

Go on a vector walk and determine which points on the walk are closest to the origin.

Can you sketch these difficult curves, which have uses in mathematical modelling?

Invent scenarios which would give rise to these probability density functions.

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Work with numbers big and small to estimate and calculate various quantities in biological contexts.

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Work out the numerical values for these physical quantities.

Why MUST these statistical statements probably be at least a little bit wrong?

How would you go about estimating populations of dolphins?

Explore the shape of a square after it is transformed by the action of a matrix.

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?

Can you match the charts of these functions to the charts of their integrals?

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?

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.

Explore the relationship between resistance and temperature

Work with numbers big and small to estimate and calulate various quantities in biological contexts.