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Analysis of Figure - Figures - By folding and unfolding the paper

Introduction

Paper folding and unfolding is a spatial reasoning topic. It involves visualizing how a piece of paper is folded, marked or cut, and then predicting its appearance when fully opened. This tests your ability to imagine 2D and 3D transformations.

Explanation Step by Step

The core logic behind this topic is symmetry. Think of every fold line as a mirror. When you unfold the paper, the pattern on one side reflects perfectly onto the other side. If you punch a hole in a folded corner, it multiplies based on the number of layers.

Visual guide showing how a single punch in a folded paper results in multiple holes after unfolding.

Sub-topics

Symmetry and Pattern Recognition

Understanding horizontal and vertical symmetry is crucial. Each fold creates a new axis of symmetry.

Examples

Example 1

Fold a square paper into 4 small squares. Punch a hole at the center fold point.

Result: When unfolded, you will see 1 large hole in the exact center of the paper.

Tricks and Shortcuts

Count the number of layers. If there are 4 layers, 1 punch usually creates 4 holes. Always work backward from the last fold to the first.

Common Mistakes

Ignoring the exact position of the cut. A cut on a fold line looks different from a cut in the middle of the surface.

Practice Questions

Easy Questions

Medium Questions

Hard Questions

Revision Summary

Success in paper folding depends on mastering mirror images and layer counting. Practice visualizing each step backward.

Option 1

Option 2

Option 3

Option 4

Explaination

A piece of paper is folded using figures x, y and z as shown below. The folded paper is cut as shown in figure z. Choose the figure from the given options that most closely resembles the unfolded form of figure z.