Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?
How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?
Odd Squares
Age 7 to 11 Challenge Level
Think of a number.
Square it.
Subtract your starting number.
Is the number you're left with odd or even?
Try with other numbers.
What do you notice?
How do these images help you explain your observations?