Maths Olympiad Prep

Library / UKMT Junior Kangaroo /109 of 243

UKMT Junior Kangaroo, 2023

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

What is the largest number of "T" shaped pieces, as shown, that can be placed on the 4×54 \times 5 grid in the diagram, without any overlap of the pieces?

(A) 22 (B) 33 (C) 44 (D) 55 (E) 66

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.