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Paper Cutting — Questions and Answers

Paper Cutting follows the same logic as paper folding, but the sheet is cut rather than punched, so the opened result is a pattern of gaps symmetric about every crease. A diagonal fold produces symmetry about the diagonal; a cut at a corner opens into a shape at the centre or at several corners depending on which folds it crossed.

8 solved questionsNon Verbal ReasoningFree · no signup

Paper Cutting— Concepts, Formulas & Shortcuts

  • Each fold doubles the cut pattern, exactly as with punches.
  • A cut across a fold line opens into a symmetric shape spanning that line.
  • A diagonal fold produces symmetry about the diagonal, not the vertical or horizontal.
  • A cut at the folded corner opens as a hole at the centre of the sheet.
  • A cut at a free edge opens as notches at the corresponding edges.
  • Unfold in reverse order, reflecting the cut at each stage.

Paper Cutting Practice Questions with Answers

Attempt each question first, then open the explanation. All 8 questions below are free to read and require no signup.

  1. Q1.A sheet folded once and given one cut opens to show:

    Easy
    • AOne gap
    • BTwo symmetric gaps
    • CThree gaps
    • DNo gap
    +Show Answer & Explanation

    Answer: B. Two symmetric gaps

    Explanation: The fold reflects the cut, producing two symmetric gaps.

    Paper Cutting question 1 of 8

  2. Q2.A sheet folded twice with a single cut opens to show:

    Moderate
    • A2 gaps
    • B3 gaps
    • C4 gaps
    • D8 gaps
    +Show Answer & Explanation

    Answer: C. 4 gaps

    Explanation: Each fold doubles the cut: 1 × 2² = 4 gaps.

    Paper Cutting question 2 of 8

  3. Q3.A square folded along its diagonal produces symmetry about:

    Moderate
    • AThe vertical axis
    • BThe horizontal axis
    • CThe diagonal
    • DThe centre point only
    +Show Answer & Explanation

    Answer: C. The diagonal

    Explanation: The crease is the diagonal, so the opened pattern mirrors across it.

    Paper Cutting question 3 of 8

  4. Q4.A cut made at the folded corner of a twice-folded square opens as:

    Difficult
    • AA notch at one corner
    • BA hole at the centre
    • CFour separate corners
    • DA straight line
    +Show Answer & Explanation

    Answer: B. A hole at the centre

    Explanation: The folded corner sits at the centre of the opened sheet, so the cut appears there.

    Paper Cutting question 4 of 8

  5. Q5.A cut crossing a fold line opens into:

    Moderate
    • ATwo unrelated shapes
    • BOne shape symmetric about that line
    • CNo shape
    • DA rotated shape
    +Show Answer & Explanation

    Answer: B. One shape symmetric about that line

    Explanation: The two halves of the cut join across the crease, forming one symmetric gap.

    Paper Cutting question 5 of 8

  6. Q6.The number of gaps produced by 2 cuts through 2 folds is:

    Moderate
    • A4
    • B6
    • C8
    • D16
    +Show Answer & Explanation

    Answer: C. 8

    Explanation: 2 cuts × 2² = 8 gaps.

    Paper Cutting question 6 of 8

  7. Q7.In paper cutting, unfolding should be done:

    Easy
    • AAll at once
    • BIn reverse order of folding
    • CIn the same order as folding
    • DRandomly
    +Show Answer & Explanation

    Answer: B. In reverse order of folding

    Explanation: The last fold made must be the first one undone, reflecting the cut at each stage.

    Paper Cutting question 7 of 8

  8. Q8.A cut at a free edge of the folded sheet opens as:

    Moderate
    • AA central hole
    • BNotches at the corresponding edges
    • CA diagonal line
    • DNothing
    +Show Answer & Explanation

    Answer: B. Notches at the corresponding edges

    Explanation: Free edges remain edges after unfolding, so the cut shows as edge notches.

    Paper Cutting question 8 of 8

Paper Cutting — Frequently Asked Questions

Where does a corner cut appear after unfolding?+

It depends which corner was cut. A cut at the folded corner — the one formed by the creases — opens as a hole in the middle of the sheet, while a cut at a free corner stays at the edge.

How is paper cutting different from paper folding?+

The mechanics are identical; only the result differs. Punches give circular holes, whereas cuts give shaped gaps whose form must also be reflected at each unfolding step.

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