Exploring and noticing

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Can you put these four calculations into order of difficulty? How did you decide?

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 parallelogram.

Can you find the missing number(s)? The square is the average (mean) of the numbers surrounding it.

Can you find pairs of differently sized windows that cost the same?

What do you think is going to happen in this video clip? Are you surprised?

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?

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.