Problem 6

The pages in a book are numbered 1, 2, 3 ———.In total it takes 1,002 digits to number all the pages in the book. What is the number of the last page?

Problem 7

One number is x and another number is y. When x and y are added together the total is 156. When y is subtracted (taken away) from x the total is 270.

Find the number x and the number y.

Problem 8

Assuming the Earth is a sphere with radius 6,371 KM and the Moon is a sphere with radius 1737 KM. How many times bigger is the Earth than the Moon? (See maths tables for required



1. You must show how you got your


2. Entries to your maths teacher by

Thursday 4.00 p.m at latest.

3. Prizes for best solutions over the

Week for all years.