Hey All,

This problem must be done without the use of a calculator. I am able to guesstimate my way to a close enough answer but need some help to improve this.

If

**n ** **<-- typo? Shouldn't that be s?** is the largest square number such that

, find s when

(i)

(ii)

I got (i)

easily since its a perfect square,

For (ii) I wrote the number as

Then nearest perfect square close to 10 is 9, so

From there I figured that the number is between

and further got to

The problem is that the required answer is

and the weight-age is only 1 mark. Using the calculator suggests this is the exactly correct answer.

But since this is a non-calculator use problem, leads me to believe I am missing an obvious/simpler/faster way of getting there. What am I missing?

Thanks again for all your help.