Paper chase

Carl brand A3 paper trimmer cutting mat for cutting paper to various sizes. An attached vertical blade slide sits along the right-hand side for making clean cuts. The mat has a grid pattern on it and angle information for making cuts.

Prompts

How many sheets of A4 paper do you need to have the same area as an A3 sheet?

What happens when you cut an A3 sheet in half lengthways?

What happens to the overall perimeter when you cut a sheet of paper in half?

What happens to the overall area of a piece of paper when it is cut in half?

What happens to the number of pieces of paper you have when you cut a sheet in half?

What can you say about the shape of A3 and A4 pages?

Explain why enlarging by 141% on a photocopier produces a copy with double the area of the original.

How many times larger is an A0 sheet than an A4 sheet?

What is the golden ratio and how does it relate to paper sizes?

Can you make a golden spiral with paper sizes?

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