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For younger learners

  • Early Years Foundation Stage

Prompt Cards

Age 7 to 11
Challenge Level Yellow star
  • Problem
  • Student Solutions
  • Teachers' Resources

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.

Related Collections

  • Back to NRICH at Every Stage resources

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Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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