You may also like
Picture Story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
There and Back
Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?
Doesn't Add Up
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
Age 14 to 16 Short
Challenge Level
Kevin had some square patio tiles which he arranged to make a square.
He decided to change it into a rectangle by making one of the sides 3 tiles shorter, and the other side 4 tiles longer.
To make this change, Kevin only needed to buy one extra tile.
What are the lengths of the sides of the rectangle?
This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.
Copyright © 1997 - 2022. University of Cambridge.
All rights reserved.
NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.