How efficiently can various flat shapes be fitted together?

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

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

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

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

Use the interactivity to practise your skills with concentrations and molarity.

Can you break down this conversion process into logical steps?

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

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

Which dilutions can you make using only 10ml pipettes?

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

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

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

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

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

Test your skills at this light-absorbance calculation.

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

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

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. . . .

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

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

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

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

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

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

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

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

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

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?

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

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

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

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

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

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

Which line graph, equations and physical processes go together?

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. . . .

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. . . .

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

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

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

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

Which units would you choose best to fit these situations?

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

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

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