Can you put these shapes in order of size? Start with the smallest.
These pieces of wallpaper need to be ordered from smallest to
largest. Can you find a way to do 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.
These rectangles have been torn. How many squares did each one have
inside it before it was ripped?
Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.
What is the smallest cuboid that you can put in this box so that
you cannot fit another that's the same into it?
What is the largest cuboid you can wrap in an A3 sheet of paper?
Georgie explains the logical reasoning in this solution very well.
Go to last month's problems to see more solutions.
In this article for teachers, Bernard uses some problems to suggest
that once a numerical pattern has been spotted from a practical
starting point, going back to the practical can help explain why
the pattern occurs.
This article for teachers gives some food for thought when teaching
ideas about area.
Solve this Sudoku puzzle whose clues are in the form of sums of the
numbers which should appear in diagonal opposite cells.