Which numbers can we write as a sum of square numbers?
Can you find rectangles where the value of the area is the same as the value of the perimeter?
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?
Try entering different sets of numbers in the number pyramids. How does the total at the top change?
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
In these addition games, you'll need to think strategically to get closest to the target.
Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
