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
Can you break down this conversion process into logical steps?
Scientists often require solutions which are diluted to a
particular concentration. In this problem, you can explore the
mathematics of simple dilutions
Which exact dilution ratios can you make using only 2 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. . . .
Can you work out the parentage of the ancient hero Gilgamesh?
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. . . .
What 3D shapes occur in nature. How efficiently can you pack these shapes together?
Can you fill in the mixed up numbers in this dilution calculation?
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.
Which units would you choose best to fit these situations?
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?
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 dilutions can you make using only 10ml pipettes?
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.