Question 1

A rectangular paper is folded in half vertically, then folded in half horizontally. How many rectangular sections will appear when the paper is completely unfolded?

Accepted Answer

First fold (vertical) divides the paper into 2 sections. Second fold (horizontal) divides each section into 2 more. Total sections = 2 × 2 = 4 rectangular sections when unfolded.

Question 2

A circular piece of paper is folded in half to form a semicircle, then folded in half again. When unfolded, how many sections will the original circle be divided into?

Accepted Answer

First fold creates 2 semicircular sections. Second fold (perpendicular to the first) divides each semicircle into 2 parts. Total = 2 × 2 = 4 sections when unfolded.

Question 3

A rectangular paper is cut into 3 equal vertical strips. Each strip is then cut into 2 equal horizontal pieces. How many total pieces of paper will result?

Accepted Answer

First cut: 3 vertical strips. Second cut: each of the 3 strips is cut into 2 pieces. Total = 3 × 2 = 6 pieces.

Question 4

A square piece of paper is folded once along its diagonal. How many layers of paper will be visible if you look at the folded shape from above?

Accepted Answer

When a square is folded along its diagonal, one triangular half folds over the other, creating a double-layered triangle. From above, you see 2 layers of paper stacked together.

Question 5

A square paper is folded in half to form a rectangle, then folded in half again to form a smaller square. If a small hole is punched through the folded paper, how many holes will appear when the paper is completely unfolded?

Accepted Answer

After two folds, the paper is folded 2 times, creating 2² = 4 layers. One hole punched through all layers creates 4 holes when unfolded.

Question 6

A square paper is folded in half vertically, then in half horizontally, then in half diagonally. A single straight cut is made through all layers. After unfolding, which of the following is IMPOSSIBLE?

Accepted Answer

Tests understanding of how multiple sequential folds create layers and how a single cut through all layers produces symmetric patterns.

Question 7

A rectangular paper (8cm × 6cm) is folded such that the top-right corner touches the bottom-left corner. The paper is then cut along the fold line. How many pieces result, and what is the shape of the largest piece?

Accepted Answer

Tests understanding of fold geometry, the resulting crease line equation, and how a single cut along a fold line divides a rectangle.

Question 8

A rectangular paper (12cm × 8cm) is folded such that the top-left corner is brought to touch the bottom-right corner. The paper is then cut along the fold line. One of the resulting pieces is then folded in half along its longest dimension and cut again. How many total pieces exist after both cuts?

Accepted Answer

Tests sequential cutting operations on folded paper, requiring tracking of piece count through multiple folds and cuts.

Question 9

A square piece of paper is folded diagonally once, then the resulting triangle is folded in half along its altitude from the right angle. When unfolded 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 piece of paper is folded along a line parallel to one side, creating a rectangle. This rectangle is then folded diagonally. A triangular piece is cut from the folded paper. When unfolded, which of the following is NOT a possible outcome?

Accepted Answer

Tests understanding of how fold geometry constrains the possible cut outcomes.

Question 11

A square paper with a dot marked at its center is folded diagonally corner-to-corner twice (both diagonals). A small hole is then punched through the folded paper at a point that is 1 unit away from the center of the original square. When unfolded, how many holes will be visible?

Accepted Answer

Tests spatial reasoning about symmetry and how a single punch on multiply-folded paper creates multiple holes.

SSC MTS Paper Folding & Cutting

SSC MTS Paper Folding & Cutting — Past Exam Questions

Paper Folding & Cutting— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Paper Folding & Cutting — Practice Questions

60-Second Revision — Paper Folding & Cutting