Which line graph, equations and physical processes go together?

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

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

Match the descriptions of physical processes to these differential equations.

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

Build up the concept of the Taylor series

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.

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.

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

Get some practice using big and small numbers in chemistry.

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 out the numerical values for these physical quantities.

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

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

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

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

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

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

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

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

Make an accurate diagram of the solar system and explore the concept of a grand conjunction.

Analyse these beautiful biological images and attempt to rank them in size order.

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

Use vectors and matrices to explore the symmetries of crystals.

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?

Investigate circuits and record your findings in this simple introduction to truth tables and logic.

How would you go about estimating populations of dolphins?

Can you make matrices which will fix one lucky vector and crush another to zero?

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.

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.

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

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

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

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

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

Explore the meaning of the scalar and vector cross products and see how the two are related.

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

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

Which of these infinitely deep vessels will eventually full up?