Whenever a monkey has peaches, he always keeps a fraction of them each day, gives the rest away, and then eats one. How long could he make his peaches last for?
Imagine different shaped vessels being filled. Can you work out
what the graphs of the water level should look like?
A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?
Various solids are lowered into a beaker of water. How does the
water level rise in each case?
Scientists often require solutions which are diluted to a
particular concentration. In this problem, you can explore the
mathematics of simple dilutions
PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics
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. . . .
This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Starting with two basic vector steps, which destinations can you reach on a vector walk?
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. . . .
This is the section of stemNRICH devoted to the advanced applied
mathematics underlying the study of the sciences at higher levels
engNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of engineering
Which curve is which, and how would you plan a route to pass between them?
Can you find the volumes of the mathematical vessels?
This fascinating problem provides an interesting opportunity to mix
algebra, common sense and numerical analysis. Our solutions reflect
Go to last month's problems to see more solutions.
The second of three articles on the History of Trigonometry.
Follow the mathematical journey of a sixth-former as she spent four
weeks working on stemNRICH problems.
Advanced problems in the mathematical sciences.
Which of these roads will satisfy a Munchkin builder?