Library / UKMT Junior Kangaroo /230 of 243

UKMT Junior Kangaroo, 2023

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Emily makes four identical numbered cubes using the net shown. She then glues them together so that only faces with the same number on are glued together to form the $2 \times 2 \times 1$ block shown. What is the largest possible total of all the numbers on the faces of the block that Emily could achieve?

(A) $72$ (B) $70$ (C) $68$ (D) $66$ (E) $64$

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.