The game of go has a simple mechanism. This discussion of the principle of two eyes in go has shown that the game does not depend on equally clear-cut concepts.
2 out of 3
1 out of 3
2 out of 3
Explore the properties of some groups such as: The set of all real numbers excluding -1 together with the operation x*y = xy + x + y. Find the identity and the inverse of the element x.
3 out of 3
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
This article outlines how strategy games can help children develop logical thinking, using examples from the NRICH website.
1 out of 3
Imagine we have four bags containing a large number of 1s, 4s, 7s and 10s. What numbers can we make?
1 out of 3
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
1 out of 3
In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?
