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Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?
Can you sketch graphs to show how the height of water changes in different containers as they are filled?
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.