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Base Puzzle

This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 .Octi the octopus counts.

Happy Octopus

This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.

Basically

The number 3723(in base 10) is written as 123 in another base. What is that base?

Oh for the Mathematics of Yesteryear

Age 11 to 14
Challenge Level

For part one:

How much bread is there altogether?

For part two:

I worked in pennies - how many pennies (d) in the pound (Â £)