Copyright © University of Cambridge. All rights reserved.
'Coordinate Challenge' printed from https://nrich.maths.org/
Here is a grid:
Can you position these ten letters in their correct places according to the eight clues below?
Clues:
The letters at $(1, 1),$ $(1, 2)$ and $(1, 3)$ are all symmetrical about a vertical line.
The letter at $(4, 2)$ is not symmetrical in any way.
The letters at $(1, 1),$ $(2, 1)$ and $(3, 1)$ are symmetrical about a horizontal line.
The letters at $(0, 2),$ $(2, 0)$ have rotational symmetry.
The letter at $(3, 1)$ consists of just straight lines.
The letters at $(3, 3)$ and $(2, 0)$ consist of just curved lines.
The letters at $(3, 3),$ $(3, 2)$ and $(3, 1)$ are consecutive in the alphabet.
The letters at $(0, 2)$ and $(1, 2)$ are at the two ends of the alphabet.