In previous posts, I have shown how we can get students to understand various measurement formulas by developing these formulas with them. Once students understand these, it is important (in the context of a Balanced Numeracy approach) that students be given opportunities to practise using these formulas with straightforward, closed questions (e.g. find the area and circumference of a circle with diameter 10 cm). At the same time, it is also important that students are given opportunities to non-standard, open problems. This is where we can help students develop their problem solving skills and their perseverance. Over the past year or so, I've collected many great puzzles from the Math community on Twitter. Below, you will find some of my favourite measurement puzzles, mainly suitable for intermediate students. Try them yourself and then see if you can get each solution in a different, more beautiful way.
Answers are in the back of the book.