Track / Stage 1 / 61 of 320 #61 of 2604

Problem 61

Number theory Difficulty 1.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2016

Marie changed her dice by replacing 1, 3, and 5 with $-1$ , $-3$ and $-5$ respectively. She left the even numbers unchanged. If she throws two such dice, which of the following totals cannot be achieved?

(A) $3$ (B) $4$ (C) $5$ (D) $7$ (E) $8$

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.

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.