Maths Olympiad Prep

Track / Stage 2 / 60 of 320 #380 of 2604

Problem 380

Geometry Difficulty 2.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2025

Three vertices of the rectangle PQRSPQRS are at P(1,1)P(1, 1), Q(7,4)Q(7, 4) and R(5,8)R(5, 8). What are the co-ordinates of SS? (A) (1,4)(-1, 4) (B) (0,5)(0, 5) (C) (2,6)(-2, 6) (D) (1,5)(-1, 5) (E) (1,6)(-1, 6)

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.