These five clowns work in pairs. What is the same and what is different about each pair's faces?
Ahmed is making rods using different numbers of cubes. Which rod is twice the length of his first rod?
If the answer's 2010, what could the question be?
Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?
Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?
In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?
Can you work out which drink has the stronger flavour?
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. . . .
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 Advanced 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?