Year 6 Being resourceful

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Take three consecutive numbers and add them together. What do you notice?

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

What can you see? What do you notice? What questions can you ask?

How many solutions can you find to this sum? Each of the different letters stands for a different number.