Multiplication and division

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?

The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?

What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?

In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?

Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?