Maths Olympiad Prep

Library / UKMT Junior Kangaroo /138 of 243

UKMT Junior Kangaroo, 2023

Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

A lot of goals were scored in a hockey match I watched recently. In the first half, six goals were scored and the away team was leading at half-time. In the second half, the home team scored three goals and won the game. How many goals did the home team score altogether?

(A) 33 (B) 44 (C) 55 (D) 66 (E) 99

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.