Library / UKMT Junior Mathematical Challenge / 154 of 274
UKMT Junior Mathematical Challenge, 2024 Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom
Rovers, United, City and Wanderers played against each other once in a hockey tournament. The results table is shown on the right:
Team Win Draw Loss Goals for Goals against Rovers 3 0 0 5 0 United 0 2 1 3 6 City 1 1 1 4 4 Wanderers 0 1 2 0 2 \begin{array}{|l|c|c|c|c|c|}\hline \text{Team} & \text{Win} & \text{Draw} & \text{Loss} & \text{Goals for} & \text{Goals against} \\ \hline \text{Rovers} & 3 & 0 & 0 & 5 & 0 \\ \hline \text{United} & 0 & 2 & 1 & 3 & 6 \\ \hline \text{City} & 1 & 1 & 1 & 4 & 4 \\ \hline \text{Wanderers} & 0 & 1 & 2 & 0 & 2 \\ \hline \end{array} Team Rovers United City Wanderers Win 3 0 1 0 Draw 0 2 1 1 Loss 0 1 1 2 Goals for 5 3 4 0 Goals against 0 6 4 2
What was the score in the match between Rovers and United?
(A) 3 − 1 3-1 3 − 1 (B) 3 − 0 3-0 3 − 0 (C) 2 − 1 2-1 2 − 1 (D) 2 − 0 2-0 2 − 0 (E) 1 − 0 1-0 1 − 0
← Previous Browse the library Next →
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.