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Paper folding

Strategy card

When paper folds, a hole goes through both layers.

  1. Step 1: Look at where the paper is folded.
  2. Step 2: See where the hole is punched.
  3. Step 3: Unfold in your head: the hole gets a twin on the other side.
  4. Step 4: The twin is the same distance from the fold, like a mirror.

Tip: Try it with real paper and a hole punch!

Worked example

The paper is folded, then a hole is punched through all the layers. What does it look like opened up?

Fold bottom half up onto the top. Then punch one hole.

paper, fold top and bottom halves together
folded paper with a hole punched
  • A: paper with 2 holes at row 2 column 2, row 2 column 3
  • B: paper with 2 holes at row 2 column 3, row 3 column 3 (the answer)
  • C: paper with 2 holes at row 2 column 2, row 3 column 2
  • D: paper with 2 holes at row 3 column 3, row 4 column 3

Why: Every layer gets a hole. Unfold one step at a time: each fold line works like a mirror, so each hole gets a twin on the other side of the fold. 1 fold makes 2 holes in all.

Your turn

Your turn 1 of 3

The paper is folded, then a hole is punched through all the layers. What does it look like opened up?

Fold top half down onto the bottom. Then punch one hole.

paper, fold top and bottom halves together
folded paper with a hole punched

Your turn 2 of 3

The paper is folded, then a hole is punched through all the layers. What does it look like opened up?

Fold right half over onto the left. Then punch one hole.

paper, fold left and right halves together
folded paper with a hole punched

Your turn 3 of 3

The paper is folded, then a hole is punched through all the layers. What does it look like opened up?

Fold right half over onto the left. Then punch one hole.

paper, fold left and right halves together
folded paper with a hole punched

Keep practicing

Grown-ups: Fold paper and punch holes together, then guess before opening. Parent guide

Next lesson: Rule out wrong answers