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?

Thousands of X

Age 14 to 16 Short
Challenge Level

Answer: $2012$

By factorising

Notice that the two terms have a common factor of $x-2012$, so

By expanding
Expanding both brackets and collecting like terms gives
You can find more short problems, arranged by curriculum topic, in our short problems collection.