There are lots of ideas to explore in these sequences of ordered fractions.

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

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?

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. . . .

We received lots of solutions which used both numerical and algebraic reasoning to explain the patterns people found.

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

Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?