Exploring and noticing

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

The challenge for you is to make a string of six (or more!) graded cubes.

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?

There are lots of different methods to find out what the shapes are worth - how many can you find?

Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

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 rhombus.

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?