Learn the 3-Step Method
1Count the holes first.
Holes double per fold: 1 punch through 1 fold → 2; through 2 folds → 4. Wrong-count options vanish immediately.
2Unfold in reverse order.
Last fold opens first. Mirror every existing hole across that fold line.
3Mirror positions exactly.
A hole 1 unit left of the line lands 1 unit right of it — same height, equal distance.
Worked Example
Paper folded in half (left over right), then punched near the top-right. Which unfolded sheet is correct?
Watch Out! Common Mistakes
Count first! One punch through one fold must give exactly 2 holes — options with 1 or 3 are gone before any position checking.
Fold line = mirror line! A vertical fold mirrors left↔right at the SAME height. Vertical drift means the option mirrored the wrong way.
Reverse! The LAST fold made is the FIRST to open. With multiple folds, order changes where holes multiply.
⬇ Cheat Sheet
- Holes = punches × 2 per fold layer punched through.
- Eliminate wrong-count options immediately.
- Unfold last-fold-first, mirroring across each line.
- Mirrored holes keep height and equal distance.
📖 Continue Your Journey
Quick summary
- Each fold layer doubles the holes: 1 punch through 2 folds = 4 holes.
- Eliminate options with the wrong hole count before anything else.
- Unfold in reverse order, mirroring holes across each fold line.
- Mirrored holes keep the same height and equal distance from the line.
Frequently asked questions
How many holes does one punch make?
Two to the power of the folds it passes through: one fold gives 2 holes, two folds give 4.
How do you work out hole positions?
Open the folds in reverse order, and at each unfold mirror every hole across that fold line — equal distance, same height.
What's the quickest elimination?
The count check — any option with the wrong number of holes is impossible, no position analysis needed.
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