Puzzles and Riddles

Learning Goals:

  • Solve problems involving the multiplication and division of multi-digit whole numbers
  • Develop and apply reasoning skills to make and test math predictions
  • Communicate mathematical thinking orally and visually

The Puzzle:

Determine the numbers that go in the empty boxes to make this diagram correct:

Can you also complete the challenge if the top box starts as 30?
What about 38? 248?

Questions and Prompts to Support your Child:

  • What strategies did you use to multiply and divide?
  • What have you tried so far? What could we try together?
  • (If the circle doesn’t end back at 8) – Let’s check back on what you did to see what led us here.

Extensions & Adaptations:

  • If struggling with calculations, try starting with 4 instead of 8 (or have a calculator handy!)
  • Take some time to figure out why this circle works out with ANY whole number in the top box – can you explain why?

Source: University of Waterloo – CEMC Problem of the Week Database