Being curious

Here are shadows of some 3D shapes. What shapes could have made them?

You'll need to know your number properties to win a game of Statement Snap...

Watch this animation. What do you see? Can you explain why this happens?

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

There are six numbers written in five different scripts. Can you sort out which is which?

On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?