Working systematically

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

A Sudoku with clues as ratios.

The clues for this Sudoku are the product of the numbers in adjacent squares.

Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?

It would be nice to have a strategy for disentangling any tangled ropes...

What's the largest volume of box you can make from a square of paper?

Can you do a little mathematical detective work to figure out which number has been wiped out?

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 use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?

The items in the shopping basket add and multiply to give the same amount. What could their prices be?