### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Have You Got It?

Can you explain the strategy for winning this game with any target?

### Clocked

Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

# Top-heavy Pyramids

##### Age 11 to 14 Challenge Level:

These are top-heavy pyramids. The blue one has $21$ at the apex (top) and the red one has $31$.

A pair of numbers are added to make the number above that pair.

In the blue top-heavy pyramid whose base is $4$, $5$ and $7$, $4 + 5 = 9$, so $9$ is placed between and above the $4$ and the $5$.
$5 + 7 = 12$ and $9 + 12 = 21$.

Use the numbers in the box below to make the base of a top-heavy pyramid whose top number is $200$.