This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.

How does the half-life of a drug affect the build up of medication in the body over time?

Explore the rates of growth of the sorts of simple polynomials often used in mathematical modelling.

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

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

First in our series of problems on population dynamics for advanced students.

Sixth in our series of problems on population dynamics for advanced students.

Dip your toe into the fascinating topic of genetics. From Mendel's theories to some cutting edge experimental techniques, this article gives an insight into some of the processes underlying. . . .

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

Fourth in our series of problems on population dynamics for advanced students.

Fifth in our series of problems on population dynamics for advanced students.

Third in our series of problems on population dynamics for advanced students.

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

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

Which units would you choose best to fit these situations?

Second in our series of problems on population dynamics for advanced students.

Which line graph, equations and physical processes go together?

Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

A brief introduction to PCR and restriction mapping, with relevant calculations...

Can you fill in the mixed up numbers in this dilution calculation?

This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.

Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?

bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your. . . .

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

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?

How would you massage the data in this Chi-squared test to both accept and reject the hypothesis?

Can you work out the parentage of the ancient hero Gilgamesh?

Investigate the mathematics behind blood buffers and derive the form of a titration curve.

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

In this question we push the pH formula to its theoretical limits.

Which exact dilution ratios can you make using only 2 dilutions?

Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?

What 3D shapes occur in nature. How efficiently can you pack these shapes together?

An advanced mathematical exploration supporting our series of articles on population dynamics for advanced students.

STEM students at university often encounter mathematical difficulties. This articles highlights the 8 key problems for biologists.

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

How efficiently can various flat shapes be fitted together?

Several graphs of the sort occurring commonly in biology are given. How many processes can you map to each graph?

Which dilutions can you make using only 10ml pipettes?

Use combinatoric probabilities to work out the probability that you are genetically unique!

In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.