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X marks the spot

11 to 14

When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .

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Back to basics

14 to 16

Find b where 3723(base 10) = 123(base b).

problem

What a joke

14 to 16

Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?

problem

Have a sine

16 to 18

There's much more to trigonometry than sin, cos and tan...

problem

Favourite

Going round in circles

11 to 14

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

problem

Favourite

Less is more

7 to 11

Use your knowledge of place value to try to win this game. How will you maximise your score?

article

Liethagoras' theorem

7 to 14

Liethagoras, Pythagoras' cousin (!), was jealous of Pythagoras and came up with his own theorem. Read this article to find out why other mathematicians laughed at him.

article

An introduction to magic squares

7 to 16

Find out about Magic Squares in this article written for students. Why are they magic?!

problem

According to Plutarch, the Greeks found all the rectangles with integer sides, whose areas are equal to their perimeters. Can you find them? What rectangular boxes, with integer sides, have their surface areas equal to their volumes?

problem

Two much

11 to 14

Explain why the arithmetic sequence 1, 14, 27, 40, ... contains many terms of the form 222...2 where only the digit 2 appears.

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X marks the spot

Back to basics

What a joke

Have a sine

Going round in circles

Less is more

Liethagoras' theorem

An introduction to magic squares

Plutarch's boxes

Two much