A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Take any prime number greater than 3 , square it and subtract one.
Working on the building blocks will help you to explain what is
special about your results.
What is the area of the quadrilateral APOQ? Working on the building
blocks will give you some insights that may help you to work it
This group tasks allows you to search for arithmetic progressions
in the prime numbers. How many of the challenges will you discover
This problem is a sequence of linked mini-challenges leading up to the proof of a difficult final challenge, encouraging you to think mathematically. Starting with one of the mini-challenges, how. . . .
Explore the properties of matrix transformations with these 10 stimulating questions.
We really liked the way Alex approached the solution to this
problem, using a mixture of numerical and pure methods.
Go to last month's problems to see more solutions.
The third of three articles on the History of Trigonometry.
Members of the NRICH team are beginning to write blogs and this very short article is designed to put the reasoning behind this move in context.
NRICH website full of rich tasks and guidance. We want teachers to
use what we have to offer having a real sense of what we mean by
rich tasks and what that might imply about classroom practice.