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.
What can you say about the angles on opposite vertices of any
cyclic quadrilateral? Working on the building blocks will give you
insights that may help you to explain what is special about them.
Take any four digit number. Move the first digit to the 'back of
the queue' and move the rest along. Now add your two numbers. What
properties do your answers always have?
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
Spreadsheets, trial and improvement, and simultaneous equations
were just some of the approaches used to solve this problem.
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.
Using your knowledge of the properties of numbers, can you fill all the squares on the board?