Label this plum tree graph to make it totally magic!
Find all the ways of placing the numbers 1 to 9 on a W shape, with
3 numbers on each leg, so that each set of 3 numbers has the same
A 2-Digit number is squared. When this 2-digit number is reversed
and squared, the difference between the squares is also a square.
What is the 2-digit number?
15 can also be made as a sum of consecutive numbers in several
ways, for example 7 + 8.
At first it seems that maybe any total could be made as a sum of
consecutive numbers. However, after trying several possibilities,
it doesn't seem as though we can make 16 in this way.
Every total from 17 to 31 can be made as a sum of consecutive
numbers, until we reach 32.