### 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.

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

# Prompt Cards

##### Stage: 2 Challenge Level:

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.