Exploring and noticing

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

These clocks have been reflected in a mirror. What times do they say?

How would you move the bands on the pegboard to alter these shapes?

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

Can you replace the letters with numbers? Is there only one solution in each case?

Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Ben's class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.