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Paper Cutting - Advanced Level: design cutting ADVANCED

Level up your paper cutting skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: design cutting. Learn cutout shapes, symmetrical cuts, fold-cut patterns through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Paper Cutting
Worksheet 24 of 30 (80% complete)

Question 1

A paper is folded in half horizontally (bottom over top). A hole is punched at position (40, 30). What pattern appears when unfolded?

Hole Punch Symmetry - Horizontal Fold

Step 1: Paper folded horizontally creates top-bottom mirror symmetry.
Step 2: A hole punched at (40,30) goes through both layers.
Step 3: When unfolded, the hole appears at (40,30) and its mirror (40,70).
Result: Two vertically aligned holes.
symmetry, folding, holes, easy

Question 2

This unfolded pattern shows holes at [(40, 30), (40, 70)]. How was the paper folded before the hole was punched?
Two vertically aligned holes indicate a horizontal fold.
reverse, reasoning, medium

Question 3

A paper is folded in half horizontally. A small semicircle cut from the folded edge. What pattern appears when unfolded?
A semicircle cut on a horizontal fold creates a full circle when unfolded.
cuts, symmetry, folding, medium

Question 4

A paper is folded first vertically, then horizontally. Then a small triangle cut from the folded corner. What pattern appears when unfolded?
Two perpendicular folds create 4 layers. A cut through all layers appears in all 4 quadrants.
sequential, multi-step, folding, hard

Question 5

A paper is folded twice (quarter fold). A hole is punched at position (25, 25). What pattern appears when unfolded?

Hole Punch Symmetry - Quarter Fold

Step 1: Paper folded horizontally then vertically creates 4 layers.
Step 2: A hole punched at (25,25) goes through all 4 layers.
Step 3: When unfolded, the hole appears in all 4 quadrants.
Result: Four holes forming a square pattern.
symmetry, folding, holes, easy

Question 6

A paper is folded in half vertically. A small triangle cut from the folded edge. What pattern appears when unfolded?
When a vertical fold is cut, the cut appears mirrored across the fold line.
cuts, symmetry, folding, medium

Question 7

A paper is folded with 4-fold rotational symmetry (pinwheel fold). A hole is punched near one edge. What pattern appears when unfolded?
4-fold rotational symmetry creates 4 symmetric holes.
rotational, symmetry, advanced, hard

Question 8

A paper is folded in half vertically. A L-shaped cut from the folded edge. What pattern appears when unfolded?
An L-shaped cut on a vertical fold creates two mirrored L-shapes.
complex, shapes, spatial, hard

Question 9

A paper is folded in half vertically. A L-shaped cut from the folded edge. What pattern appears when unfolded?
An L-shaped cut on a vertical fold creates two mirrored L-shapes.
complex, shapes, spatial, hard

Question 10

A paper is folded first vertically, then horizontally. Then a small triangle cut from the folded corner. What pattern appears when unfolded?
Two perpendicular folds create 4 layers. A cut through all layers appears in all 4 quadrants.
sequential, multi-step, folding, hard

Question 11

A paper is folded with 4-fold rotational symmetry (pinwheel fold). A hole is punched near one edge. What pattern appears when unfolded?
4-fold rotational symmetry creates 4 symmetric holes.
rotational, symmetry, advanced, hard

Question 12

A paper is folded with 4-fold rotational symmetry (pinwheel fold). A hole is punched near one edge. What pattern appears when unfolded?
4-fold rotational symmetry creates 4 symmetric holes.
rotational, symmetry, advanced, hard

Question 13

A paper is folded with 4-fold rotational symmetry (pinwheel fold). A hole is punched near one edge. What pattern appears when unfolded?
4-fold rotational symmetry creates 4 symmetric holes.
rotational, symmetry, advanced, hard

Question 14

A paper is folded in half horizontally (bottom over top). A hole is punched at position (40, 30). What pattern appears when unfolded?

Hole Punch Symmetry - Horizontal Fold

Step 1: Paper folded horizontally creates top-bottom mirror symmetry.
Step 2: A hole punched at (40,30) goes through both layers.
Step 3: When unfolded, the hole appears at (40,30) and its mirror (40,70).
Result: Two vertically aligned holes.
symmetry, folding, holes, easy

Question 15

A paper is folded in half vertically. A L-shaped cut from the folded edge. What pattern appears when unfolded?
An L-shaped cut on a vertical fold creates two mirrored L-shapes.
complex, shapes, spatial, hard

Question 16

A paper is folded in half vertically. A small triangle cut from the folded edge. What pattern appears when unfolded?
When a vertical fold is cut, the cut appears mirrored across the fold line.
cuts, symmetry, folding, medium

Question 17

A paper is folded with 4-fold rotational symmetry (pinwheel fold). A hole is punched near one edge. What pattern appears when unfolded?
4-fold rotational symmetry creates 4 symmetric holes.
rotational, symmetry, advanced, hard

Question 18

This unfolded pattern shows holes at [(40, 30), (40, 70)]. How was the paper folded before the hole was punched?
Two vertically aligned holes indicate a horizontal fold.
reverse, reasoning, medium

Question 19

A paper is folded in half vertically (left over right). A hole is punched at position (30, 40). What pattern appears when unfolded?

Hole Punch Symmetry - Vertical Fold

Step 1: Paper folded vertically creates left-right mirror symmetry.
Step 2: A hole punched at (30,40) goes through both layers.
Step 3: When unfolded, the hole appears at (30,40) and its mirror (70,40).
Result: Two horizontally aligned holes.
symmetry, folding, holes, easy

Question 20

A paper is folded first vertically, then horizontally. Then a small triangle cut from the folded corner. What pattern appears when unfolded?
Two perpendicular folds create 4 layers. A cut through all layers appears in all 4 quadrants.
sequential, multi-step, folding, hard
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