Copyright © University of Cambridge. All rights reserved.

'Prompt Cards' printed from https://nrich.maths.org/

Show menu


Can you work out what Charlie's number is from these clues?

  • C1: Charlie's number is palindromic, the second and third numbers are different.
  • C2: Charlie's number is greater than 100 and is prime.
  • C3: Charlie's number is odd. The difference between the largest and smallest digits is 5.
  • C4: Charlie's number is less than 1000. The sum of the digits is 14.
  • C5: Charlie's number is not divisible by 3. It is less than 500.
  • C6: Charlie's number is a whole number with only two divisors.

Now can you make this tower from coloured cubes? Or, if you don't have any cubes, you could draw it.

  • C1: There are six blocks in the tower, a yellow one is at the top.
  • C2: The red block is above the green block.
  • C3: One of the yellow blocks is above the green block, the other is below it.
  • C4: Each of the blue blocks shares a face with the green block.
  • C5: No two blocks of the same colour touch each other.
  • C6: There are no brown blocks in the tower.