Can you make a curve to match my friend's requirements?

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.

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

Explore the shape of a square after it is transformed by the action of a matrix.

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

Can you find a way to identify times tables after they have been shifted up or down?

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

There are nasty versions of this dice game but we'll start with the nice ones...

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?