Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?
Can you maximise the area available to a grazing goat?
