Working systematically

These rectangles have been torn. How many squares did each one have inside it before it was ripped?

Given the products of diagonally opposite cells - can you complete this Sudoku?

The number of plants in Mr McGregor's magic potting shed increases overnight. He'd like to put the same number of plants in each of his gardens, planting one garden each day. How can he do it?

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?

A Sudoku that uses transformations as supporting clues.

Can you find out in which order the children are standing in this line?

What is the smallest cuboid that you can put in this box so that you cannot fit another that's the same into it?

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

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

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.