Paper Folding and Cutting
About 7 min · General Intelligence and Reasoning · English
Time worked out from the lesson's 549 words at 150 words a minute, plus a minute for each question.
Paper Folding and Cutting is a visual reasoning topic in SSC CHSL that tests your spatial visualization ability. You are shown a sequence of paper being folded (once or multiple times), then cut with scissors or punched with holes. The question asks you to identify how the paper will look when completely unfolded.
Key ideas
- Fold creates symmetry: Every fold introduces a line of symmetry. A cut on the folded side creates mirror-image cuts when unfolded.
- Count multiplier effect: One fold = 2 layers (cuts appear twice). Two perpendicular folds = 4 layers (cuts appear four times). Three folds can mean 8 layers depending on fold type.
- Fold sequence matters: Track every fold in sequence and unfold in reverse order. A horizontal fold and a vertical fold give the same unfolded pattern in either order for the same cut position, because each reflection changes only one direction.
- Cut position relative to folds: A cut near the folded edge replicates close to fold lines. A cut at the open corner (where the four original corners lie together) of a twice-folded paper appears at all four corners when unfolded.
- Shape preservation: The shape of the cut (circle, triangle, square, semicircle) remains the same in all replicated positions. Only position and count change, not the cut shape.
Watch out for
- Forgetting to count all layers → Undercounting holes: Students often forget that each fold doubles the layers. Fix: Before solving, write down the total number of layers (1 fold = 2, 2 folds = 4, etc.) and ensure your answer has that many cuts.
- Mixing up fold order → Wrong symmetry placement: Folding horizontally then vertically gives the same unfolded pattern as vertically then horizontally, but each fold must still be undone in turn. Fix: Mentally unfold in reverse order—last fold opens first. Track each step separately.
- Placing cuts on the wrong side of the fold line → Mirror image errors: Students often place replicated holes on the same side as the original cut instead of mirroring across the fold. Fix: Draw a mental (or actual) fold line and consciously place each hole on the opposite side at equal distance.
Quick reference
- One fold = 2 holes (mirror across fold line).
- Two perpendicular folds = 4 holes (rectangular symmetry pattern).
- Count layers before predicting cuts—number of layers = number of replicated cuts.
- Unfold in reverse order—last fold opens first when mentally visualizing.
- Closed corner cuts appear at the center or in symmetric grid positions.
Check yourself: 3 questions
1. A rectangular sheet of paper is folded in half along its length, then folded in half again along its width. A triangular piece is cut from one corner of the folded paper (cutting through all layers). When the paper is completely unfolded, what pattern will appear?
2. A rectangular paper is folded in half three times consecutively (each time folding it in half parallel to one of its sides). After the three folds, a circular hole is punched exactly at the center of the folded paper. When the paper is completely unfolded, how many circular holes will appear?
3. A square paper is folded once and then a circular hole is punched through it. When unfolded, how many holes will appear?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 18 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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