If 5 cats can catch 5 rats in 5 minutes...

...how many cats do you need to catch 100 rats in 100 minutes?

Below you will find 10 well-known six letter words, with only their endings remaining.

Can you determine the words?

...era
...cil
...uld
...nis
...nda
...phy
...may
...ese
...eum
...axy

Can you find a five digit number which has no zeros nor ones in it and no digit is repeated, where:

The fourth digit is a quarter of the total of all of the digits.
The second digit is twice the first digit.
The third digit is the largest.
The last digit is the sum of the first two digits.

Starting in the bottom left corner and moving either up or right adding up the numbers along the way, what is the largest sum you can make?