Maths Olympiad Prep

Library / UKMT Senior Kangaroo /29 of 139

UKMT Senior Kangaroo, 2022

Algebra Difficulty 2.0 Junior Prove it United Kingdom

Paul is painting a wall. He knows the area of the wall is 1920 square metres, correct to the nearest ten. He uses tins of paint, each of which can cover 18 square metres, correct to the nearest integer. He needs to paint the wall completely, and still have at least half a tin of paint left over for any minor repairs. What is the smallest number of tins he must buy to be sure of having enough paint?

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.