Advanced problems in the mathematical sciences.
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Which dilutions can you make using 10ml pipettes and 100ml measuring cylinders?
Scientists often require solutions which are diluted to a particular concentration. In this problem, you can explore the mathematics of simple dilutions
Can you break down this conversion process into logical steps?
Which exact dilution ratios can you make using only 2 dilutions?
Can you work out the parentage of the ancient hero Gilgamesh?
Can you fill in the mixed up numbers in this dilution calculation?
What 3D shapes occur in nature. How efficiently can you pack these shapes 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. . . .
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. . . .
When you change the units, do the numbers get bigger or smaller?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which units would you choose best to fit these situations?
Which dilutions can you make using only 10ml pipettes?
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?
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.
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?