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← Explorers MathsDoubling15 minutesStd 3–5

How Many Folds

✨ Nobody in the class can fold their sheet eight times, no matter how big or thin the paper is.

Stacks of paper layers for zero to four folds showing one, two, four, eight and sixteen layers, above a bar chart where the layer count doubles each fold and reaches one hundred and twenty-eight at seven folds.
How it works

🧰 You need

  • several sheets of paper of different sizes
  • a long strip cut from a newspaper
  • a ruler
  • a pencil
  • paper to record on

👀 What you will see

The layer counts go 2, 4, 8, 16, 32, 64, 128, doubling every time. Almost everybody stops at six or seven folds, whatever paper they use. A long thin strip usually allows one or two extra folds.

🧪 Do it

  1. Fold a sheet in half and write down how many layers you now have.
  2. Fold again and again, writing the number of layers each time.
  3. Keep going until you truly cannot fold it any more, and record how many folds you managed.
  4. Measure the thickness of the final wad with the ruler.
  5. Try a much bigger sheet and a long thin newspaper strip and record their fold counts.
  6. Look at your list of layers and describe the rule you can see.

💡 Why it happens

Each fold puts every layer on top of another layer, so the number of layers doubles, giving 2, 4, 8, 16 and so on. Doubling grows far faster than most people expect: after seven folds there are 128 layers, so the wad is as thick as it is wide and there is nothing left to bend. The paper also has to travel around the fold, so each fold uses up length as well as adding thickness. This repeated doubling is called exponential growth, and it appears in bacteria, savings and rumours.

🔁 Now try this

Cut a very long thin strip from a newspaper and see how many extra folds the shape buys you compared with a square sheet.

🤔 Think about it

If you could fold a sheet thirty times, roughly how tall would the pile be?

🧘 Ask the Acharya

“If you could fold a sheet thirty times, roughly how tall would the pile be?” — ask him and he will explain it from your own chapters.

Ask Guru →

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