Maths Olympiad Prep

Library / /81 of 149

, 2026

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

In an orchard, 80% of the trees were apple trees and the rest were pear trees. Last summer, the apple weevil killed some of the apple trees but no pear trees. Now 50% of the trees are apple trees. What percentage of the apple trees were killed by the apple weevil?

(A) 30%30\% (B) 40%40\% (C) 50%50\% (D) 60%60\% (E) 75%75\%

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.