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

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. . . .

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

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

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?

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

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

Which units would you choose best to fit these situations?

Which dilutions can you make using only 10ml pipettes?

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

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.

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

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

Can you break down this conversion process into logical steps?

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

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