Library / /8 of 121

, 2025

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The base of a triangle increases by $50\%$ and its height decreases by one-third. What is the ratio of the area of the new triangle to that of the original triangle?

(A) $2:1$ (B) $1:1$ (C) $1:2$ (D) $1:3$ (E) $1:4$

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.