### Number Detective

Follow the clues to find the mystery number.

### Six Is the Sum

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

### (w)holy Numbers

A church hymn book contains 700 hymns. The numbers of the hymns are displayed by combining special small single-digit boards. What is the minimum number of small boards that is needed?

# Spell by Numbers

##### Stage: 2 Challenge Level:

Here are some clues to help if you are stuck...

• $A, E, H$ and $T$ are evenly divisible by $2$
• $G, I, P$ and $U$ are not evenly divisible by $2$
• $T$ and $U$ are square numbers
• $T$ has twice the value $A$ but only half the value of $H$
• $P$ is only half of $E$ but three times $S$
• $G$ is greater than $I$