Copyright © University of Cambridge. All rights reserved.
'Prompt Cards' printed from http://nrich.maths.org/
We know from clues C2 and C5 that Charlie's number is somewhere
It is palindromic, so the first number and the last number must be
the same, but the middle number is different.
Because it is an odd number, the last digit cannot be 2 or 4. This
leaves 1 or 3.
If the first and last digits were both 1, then the middle digit
would have to be 12 for them to add up to 14, which isn't allowed.
Therefore the first and last digit must be 3 and the middle digit
must be 8.
Just to check,383 is a prime number and the difference between 3
and 8 is 5, so this is definitely the right answer.
Tower of cubes:
We deduce that there are 2 blue blocks, 2 yellow blocks, 1 red
block and 1 green block. One of the yellow blocks is at the top, so
we can put that one in place.
In order for both of the blue blocks to be in contact with the
green block, they have to be either side of it, directly above and
below. That means that for the red block to be higher than the
green block, it must also be above one of the blue blocks, and for
the other yellow block to be below the green block, it must be
right at the bottom.
The resulting tower looks like this: