One die is drawn below in three different ways. Find the number opposite 1.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 4
A face of a die touches four other faces and is opposite the one face it never touches. Faces seen together in one picture are neighbours, so they can never be opposite each other.
2 is seen next to 4 and 5 in (i); 1 and 6 in (ii). So 2 touches four faces, and the only face left, 3, is opposite 2
4 is seen next to 2 and 5 in (i); 3 and 6 in (iii). So 4 touches four faces, and the only face left, 1, is opposite 4
So the face opposite 1 is 4.
Why the other options are incorrect
Option (2) 2 — Incorrect. 2 is seen next to 1 in picture (ii), so it touches 1 and cannot be opposite it.
Option (3) 6 — Incorrect. 6 is seen next to 1 in picture (ii), so it touches 1 and cannot be opposite it.
Option (4) 3 — Incorrect. 3 is the face opposite 2, so it cannot also be opposite 1.