Maths Olympiad Prep

Track / Stage 1 / 85 of 320 #85 of 2604

Problem 85

Combinatorics Difficulty 1.0 Find the answer UKMT Grey Kangaroo · United Kingdom · 2022

The front number plate of Max's car fell off. He put it back upside down but luckily this didn't make any difference. Which of the following could be Max's number plate?

(A) 04 NSN 4004\ NSN\ 40 (B) 80 BNB 0880\ BNB\ 08 (C) 03 HNH 3003\ HNH\ 30 (D) 08 XBX 8008\ XBX\ 80 (E) 60 HOH 0960\ HOH\ 09

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Next problem →

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project. Solutions are the publisher's, linked not copied.