Millie & Biscuit

Square Numbers: Rainbow Castle

Welcome to Rainbow Castle! Princess Ruby loves things laid out in perfect squares: gems on her cushion, cupcakes on a tray, tiles on her rug. When the rows and columns match, you’ve made a square number.

Remember: A square number is a number times itself: 3 × 3 = 9 and 4 × 4 = 16. The square numbers up to 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.

Magic trick: Each square number grows by the next odd number: 1 + 3 = 4, 4 + 5 = 9, 9 + 7 = 16!

Seek and Find

Look carefully at the picture of Rainbow Castle and find:

  • 💎 Find the gems on the cushion. 3 rows of 3 = 9 gems: a perfect square!
  • 🧁 Find the cupcakes on the tray. 2 rows of 2 = 4 cupcakes, another square number.
  • 🟪 Find the checkerboard rug. 4 rows of 4 = 16 squares.
  • 🐱 Millie and her kitten Biscuit are hiding in every picture. Can you spot them?