Train carriages
Triangle shapes
Tiling
Plants
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Street sequences
Investigate what happens when you add house numbers along a street in different ways.
Sweets in a box
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?
2 rings
The red ring is inside the blue ring in this picture. Can you rearrange the rings in different ways? Perhaps you can overlap them or put one outside another?
Follow the numbers
What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.
Consecutive numbers
An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
Caterpillars
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?