Square numbers

Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

In 1871 a mathematician called Augustus De Morgan died. De Morgan made a puzzling statement about his age. Can you discover which year De Morgan was born in?

One of these numbers is the largest of nine consecutive positive integers whose sum is a perfect square. Which one is it?

This activity creates an opportunity to explore all kinds of number-related patterns.