Working systematically

A 1x2x3 block is placed on an 8x8 board and rolled several times.... How many squares has it occupied altogether?

This Sudoku requires you to do some working backwards before working forwards.

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

A Sudoku with a twist.

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.

Can you swap the black knights with the white knights in the minimum number of moves?

A Sudoku with clues as ratios or fractions.

This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.