Paper Folding— Concepts, Formulas & Shortcuts
- Each fold doubles the number of holes: 1 fold → 2, 2 folds → 4, 3 folds → 8.
- With p punches and f folds, the opened sheet shows p × 2^f holes.
- Holes are always symmetric about every fold line.
- Unfold one step at a time, reflecting the existing holes across the last fold made.
- A hole punched exactly ON a fold line does NOT double.
- The final pattern always has at least as much symmetry as the folding sequence.
Paper Folding Practice Questions with Answers
Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.
Q1.A sheet is folded once and punched once. On unfolding, the number of holes is:
Easy- A1
- B2
- C3
- D4
Paper Folding question 1 of 8+Show Answer & Explanation
Answer: B. 2
Explanation: One fold doubles the punch: 1 × 2 = 2 holes.
Q2.A sheet folded twice and punched once shows how many holes when opened?
Easy- A2
- B3
- C4
- D8
Paper Folding question 2 of 8+Show Answer & Explanation
Answer: C. 4
Explanation: 1 × 2² = 4 holes.
Q3.A sheet folded three times and punched once shows:
Moderate- A4 holes
- B6 holes
- C8 holes
- D16 holes
Paper Folding question 3 of 8+Show Answer & Explanation
Answer: C. 8 holes
Explanation: 1 × 2³ = 8 holes.
Q4.A sheet folded twice and punched twice shows:
Moderate- A4 holes
- B6 holes
- C8 holes
- D16 holes
Paper Folding question 4 of 8+Show Answer & Explanation
Answer: C. 8 holes
Explanation: 2 punches × 2² = 8 holes.
Q5.The holes in an unfolded sheet are always arranged:
Easy- ARandomly
- BSymmetrically about the fold lines
- CIn a straight line
- DIn one corner
Paper Folding question 5 of 8+Show Answer & Explanation
Answer: B. Symmetrically about the fold lines
Explanation: Folding guarantees that each punch reflects across every crease.
Q6.A punch made exactly on the fold line produces, on unfolding:
Difficult- ATwo holes
- BOne hole
- CFour holes
- DNo hole
Paper Folding question 6 of 8+Show Answer & Explanation
Answer: B. One hole
Explanation: A hole on the crease is shared by both halves, so it does not double.
Q7.If an opened sheet shows 16 holes from a single punch, the number of folds was:
Difficult- A2
- B3
- C4
- D8
Paper Folding question 7 of 8+Show Answer & Explanation
Answer: C. 4
Explanation: 2^f = 16 gives f = 4 folds.
Q8.The correct way to solve a paper-folding question is to:
Moderate- AGuess the symmetry
- BUnfold one step at a time, reflecting the holes
- CCount the options
- DFold further
Paper Folding question 8 of 8+Show Answer & Explanation
Answer: B. Unfold one step at a time, reflecting the holes
Explanation: Reversing the folds one at a time, reflecting at each stage, reproduces the exact pattern.
Paper Folding — Frequently Asked Questions
How many holes appear if a sheet is folded twice and punched once?+
Four. Each fold doubles the count, so one punch through two folds gives 1 × 2² = 4 holes.
What happens if the punch lands on the fold line?+
It does not double. A hole made exactly on the crease produces a single hole on unfolding, which is a standard trap in exam questions.
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