article
Pattern power
Mathematics is the study of patterns. Studying pattern is an
opportunity to observe, hypothesise, experiment, discover and
create.
Visualising and representing
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articleWhen the angles of a triangle don't add up to 180 degrees
This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the triangle. -
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articleA rolling disc - periodic motion
Imagine a rectangular tray lying flat on a table. Suppose that a plate lies on the tray and rolls around, in contact with the sides as it rolls. What can we say about the motion? -
articleDing dong bell
The reader is invited to investigate changes (or permutations) in the ringing of church bells, illustrated by braid diagrams showing the order in which the bells are rung. -
articleZooming in on the squares
Start with a large square, join the midpoints of its sides, you'll see four right angled triangles. Remove these triangles, a second square is left. Repeat the operation. What happens? -
projectHow many?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
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interactivityIntroducing NRICH TWILGO
Age5 to 18Challenge level
We're excited about this new program for drawing beautiful mathematical designs. Can you work out how we made our first few pictures and, even better, share your most elegant solutions with us? -
gameSliding puzzle
Age11 to 16Challenge level
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves. -
gameAlquerque
This game for two, was played in ancient Egypt as far back as 1400 BC. The game was taken by the Moors to Spain, where it is mentioned in 13th century manuscripts, and the Spanish name Alquerque derives from the Arabic El- quirkat. Watch out for being 'huffed'.