Exploring and noticing

By drawing 5 horizontal and four vertical lines, one can form 12 rectangles. What is the greatest number of rectangles that can be formed by drawing 15 lines?

Can you find the connections between linear and quadratic patterns?

There are unexpected discoveries to be made about square numbers...

Play around with the Fibonacci sequence and discover some surprising results!

Can you figure out how sequences of beach huts are generated?

What is special about the difference between squares of numbers adjacent to multiples of three?

What happens when you add a three digit number to its reverse?

By selecting digits for an addition grid, what targets can you make?

Four strategy dice games to consolidate pupils' understanding of rounding.

A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?