Chapter 6 of 10
Revision Notes
Paper Cutting — Revision Notes
BITSAT · Logical Reasoning
Free Paper Cutting revision notes for BITSAT Logical Reasoning 2026 — key concepts, formulas, and definitions for quick revision.
Interactive on Super Tutor
Studying Paper Cutting? Get the full chapter — free.
Practice questions, revision notes, formula sheet and AI doubt-solver — built for BITSAT Logical Reasoning.
Revision Notes — Paper Cutting
Key concepts, formulas, and definitions from Paper Cutting for BITSAT Logical Reasoning preparation.
Key Topics to Revise
1
Core Concept: Folding, Cutting, and Unfolding
- A square sheet of paper is folded one or more times, and a cut (hole or edge cut) is made on the folded multi-layer stack.
- Every cut made on a folded sheet simultaneously cuts through all underlying layers at the corresponding mirrored positions.
- When the paper is unfolded, each cut appears reflected symmetrically across every fold line that was applied.
2
Types of Folds and Their Symmetry Effects
- Horizontal fold (top half folded onto bottom half): fold line is the horizontal midline; cuts reflect vertically across this line.
- Vertical fold (right half folded onto left half): fold line is the vertical midline; cuts reflect horizontally across this line.
- Diagonal fold (top-right corner to bottom-left, or top-left corner to bottom-right): fold line is at 45°; reflection swaps x and y coordinates relative to the fold.
3
Step-by-Step Solution Strategy
- Step 1 — Analyse the fold sequence: Identify each fold (horizontal, vertical, diagonal), its direction, and the order in which folds are applied.
- Step 2 — Locate the cut: Note the position (near corner, near edge, at centre), shape (circle, square, triangle, star, slit), and whether the cut lies on a fold line or away from it.
- Step 3 — Count expected holes: Apply the formula 2^n (or 2^(n-1) if on fold line) to determine how many holes the unfolded sheet should have. Eliminate options with wrong counts.
4
Common Cut Patterns and Their Unfolded Results
- Single fold + interior circular cut: Result is two circles symmetrically placed about the fold line.
- Two perpendicular folds + interior circular cut: Result is four circles, one in each quadrant, equidistant from both midlines.
- Diagonal fold + circular cut at the corner area: Result is two circles near opposite corners along the diagonal.
Get complete revision notes with diagrams and examples — continue in Super Tutor
Key Concepts
Every fold creates an axisEach additional fold doubles the numberThree primary fold types appearThe most reliable method isCuts can be of various shapes
Frequently Asked Questions
What topics are covered in Paper Cutting for BITSAT?
Paper Cutting is an important chapter in BITSAT Logical Reasoning. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Core Concept: Folding, Cutting, and Unfolding, Types of Folds and Their Symmetry Effects, Step-by-Step Solution Strategy, Common Cut Patterns and Their Unfolded Results.
How important is Paper Cutting for BITSAT?
Paper Cutting is a frequently tested chapter in BITSAT Logical Reasoning. Questions from this chapter appear regularly in previous year papers.
How to prepare Paper Cutting for BITSAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.
More resources for Paper Cutting
For BITSAT aspirants
Get the full Paper Cutting chapter — for free.
Practice questions, revision notes, formula sheet and AI doubt-solver for BITSAT Logical Reasoning.