Maths Olympiad Prep

Library / UKMT Grey Kangaroo /7 of 242

UKMT Grey Kangaroo, 2023

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Werner wants to write a number at each vertex and on each edge of the rhombus shown. He wants the sum of the numbers at the two vertices at the ends of each edge to be equal to the number written on that edge. What number should he write on the edge marked with the question mark?

(A) 1111 (B) 1212 (C) 1313 (D) 1414 (E) 1515

Figure for this problem

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.