Question 1

A square paper is folded twice: first along the vertical midline (left onto right), then along the horizontal midline (top onto bottom). A small square is cut from one corner of the folded paper. When completely unfolded, how many small squares will be visible?

Accepted Answer

After two folds, the paper has 4 layers. A cut through all 4 layers creates 4 identical pieces. When unfolded, 4 small squares appear on the original paper.

Question 2

A rectangular paper is folded in half vertically (left side folds onto right side). Then it is folded in half horizontally (top folds down onto bottom). How many layers of paper exist in the final folded shape?

Accepted Answer

First fold creates 2 layers. Second fold on the already-folded paper doubles the layers again: 2 × 2 = 4 layers total.

Question 3

A circular piece of paper is folded in half to form a semicircle. Then the semicircle is folded in half again. If you now unfold the paper completely, how many crease lines will be visible on the original circle?

Accepted Answer

First fold creates 1 crease (diameter). Second fold on the semicircle creates 1 additional crease. Total: 2 crease lines on the unfolded circle.

Question 4

A square paper has a small circle drawn in its center. The paper is folded diagonally (corner to opposite corner). After unfolding, how many images of the circle will be visible on the paper?

Accepted Answer

The circle is at the center of the square. When folded diagonally, the fold line passes through the center. Upon unfolding, only 1 circle remains visible—the original circle at the center is not duplicated by the fold.

Question 5

A rectangular paper is folded once horizontally (top edge meets bottom edge). A triangular piece is cut from the folded paper. When unfolded, how many triangular pieces will be present on the paper?

Accepted Answer

When paper is folded, a single cut through the folded layers creates cuts on both layers. One triangular cut on folded paper results in 2 triangular pieces when unfolded.

Question 6

A rectangular paper is folded in half three times in the same direction (each fold parallel to the previous one). A hole is punched through the folded paper. When unfolded, how many holes will be visible?

Accepted Answer

This question tests understanding of cumulative layers created by repeated folds in the same direction.

Question 7

A square piece of paper is folded along one diagonal, then along the other diagonal. A small square is cut from the center of the folded paper. When unfolded, how many square pieces will be removed from the original paper?

Accepted Answer

This question tests the ability to track multiple diagonal folds and understand how a cut through all layers manifests on the unfolded paper.

Question 8

A rectangular paper is folded in half lengthwise, then folded in half widthwise. A small circle is punched through the folded paper at the center. When the paper is completely unfolded, how many circles will be visible?

Accepted Answer

This question tests understanding of how a single punch through folded paper creates multiple holes when unfolded.

Question 9

A square piece of paper is folded along its diagonal, then the resulting triangle is folded in half along its height. After unfolding completely, how many distinct regions will be visible on the paper?

Accepted Answer

This question tests the ability to mentally track fold lines and predict the crease pattern after unfolding.

Question 10

A square sheet is folded along one diagonal, then the resulting triangle is folded along its median from the right angle to the midpoint of the hypotenuse. A small square hole is punched at the apex (right angle vertex) of the final folded triangle. When completely unfolded, how many holes appear on the original square sheet?

Accepted Answer

Tests understanding of fold geometry, layer stacking at specific vertices, and how punch position relative to fold lines affects replication.

Question 11

A square sheet of paper is folded diagonally once, then the resulting triangle is folded in half along its altitude from the right angle. After unfolding completely, how many distinct regions are created on the original square?

Accepted Answer

This tests the ability to mentally track fold lines and visualize their intersection pattern when the paper is unfolded.

Question 12

A rectangular sheet is folded in half lengthwise, then folded in half widthwise, then folded diagonally. Three holes are punched through all layers at specific points. When completely unfolded, how many holes appear on the sheet if the three punches are made at positions that do NOT lie on any fold line?

Accepted Answer

Tests understanding of how many layers exist after sequential folds and how punch positions multiply across layers.

Question 13

A square paper is folded along a line parallel to one side, creating a 1:2 ratio of the folded portion to the unfolded portion. The folded paper is then cut with a straight cut perpendicular to the fold line, passing through both layers. When unfolded, how many separate pieces result if the cut does NOT intersect any corner of the original square?

Accepted Answer

Tests understanding of how a cut through folded layers creates multiple pieces, and how the fold ratio affects the piece count.

Question 14

A rectangular sheet (length 2× width) is folded in half lengthwise, then folded in half widthwise, then folded diagonally along the resulting square. Two holes are punched: one at the center of the folded shape, one at a corner. When unfolded, how many total holes appear if the corner hole is NOT at a fold intersection point?

Accepted Answer

Tests cumulative layer counting through three sequential folds of different types and understanding how punch position (center vs. corner) affects replication differently.

Question 15

A rectangular sheet is folded in half along its length, then folded in half along its width, creating a smaller rectangle. A triangular piece is cut from one corner of this folded rectangle. When the sheet is completely unfolded, how many triangular pieces are removed from the original sheet?

Accepted Answer

Tests understanding of symmetry in folded paper and how a single cut replicates across multiple layers and fold axes.

SSC GD Constable Paper Folding & Cutting

SSC GD Constable Paper Folding & Cutting — Past Exam Questions

Paper Folding & Cutting— Rules & Concept

Key Points to Remember

Exam-Specific Tips

60-Second Revision — Paper Folding & Cutting