Paper Folding and Cutting Aptitude MCQ Questions with Answers Set 01

Answer: (b) Figure (b)

Explanation:
1. The fold line is horizontal, so the lower half is reflected upwards onto the upper half.
2. The slanted line in the lower half rises to the right after reflection, and its short vertical tail now points upward.
3. Together with the slanted line already in the upper half, the two lines meet at the fold and form a V with vertical tips.

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (c) Figure (c)

Explanation:
1. In X the upper triangular half is folded over the lower half along the diagonal.
2. In Y the paper is folded again into a quarter triangle, so there are four layers.
3. The square punched in Z goes through all four layers, so one square appears in each triangular quarter: top, bottom, left and right, as in figure (c).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (a) Figure (a)

Explanation:
1. The fold line is vertical; the right part folds onto the left part.
2. The two slanted lines cross the fold slightly; their short ends on the right are reflected back to the left.
3. So each slanted line bends back at the fold, giving two small arrow-heads on the fold line next to the vertical line, as in (a).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (a) Figure (a)

Explanation:
1. The right part is folded onto the left part along the vertical dotted line.
2. The zig-zag parts drawn beyond the fold are reflected onto the left half and sit just inside the fold line.
3. The vertical line and the two slanted lines stay where they are, so the result is figure (a).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (d) Figure (d)

Explanation:
1. The left half is folded onto the right half, so every arc on the left is reflected and turned from ')' into '('.
2. On the right half the original arcs are ')' (near the fold) and ')' (a little further); the reflected arcs '(' land just to the right of each of them.
3. Reading from the fold outward the arcs are ) ( ) ( : the middle '(' and ')' overlap into a lens, giving figure (d).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (b) Figure (b)

Explanation:
1. Folding along both lines brings all four quarters onto the lower-left quarter.
2. The four corner circles all land on one circle at the outer corner of the quarter.
3. The four circles near the centre all land on one circle at the inner (centre) corner, so the quarter shows two circles at opposite corners, figure (b).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (d) Figure (d)

Explanation:
1. The right half (the semicircle) is folded onto the left half, so the semicircle now bulges to the left.
2. The semicircle bulges about one and a half times as far from the fold as the tip of the triangle on the left.
3. So the semicircle encloses the small triangle, both drawn from the fold line: figure (d).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (d) Figure (d)

Explanation:
1. The line crosses the fold near its middle; the part on the right is reflected to the left, making a '>' shape with its point on the fold.
2. The upper circle stays where it is, just above the upper end of the line.
3. The lower circle is just below its line end and stays below it after reflection, so both circles lie outward of the ends: figure (d).

Teacher's Note:
1. On a transparent sheet, the part on the folded side is simply reflected across the fold line and laid over the part that stays fixed.
2. Pick one or two key points (a corner, a tip, an end) and reflect them first; this quickly rules out most options.

Answer: (a) Figure (a)

Explanation:
1. X folds the lower-right triangle over the upper-left along the diagonal; Y folds again along the line from the top-left corner to the centre.
2. The circle in Z lies near the top-left corner; unfolding Y reflects it across that line, giving two circles near the top-left corner.
3. Unfolding X reflects both across the diagonal, giving two circles near the bottom-right corner: figure (a).

Teacher's Note:
1. For a diagonal fold, a point (x, y) reflects to the point the same distance on the other side of the diagonal, so orientation of shapes also turns.
2. Count the layers under the punch first: two folds give four layers, so expect four holes.

Answer: (a) Figure (a)

Explanation:
1. The sheet is folded in half twice, so Z is one quarter with four layers.
2. Z has one semicircular notch on its bottom edge and one on its right edge, both on open edges.
3. Unfolding the vertical fold doubles the bottom notches and copies the right notch to the left edge; unfolding the horizontal fold copies them to the top: two notches on every edge, figure (a).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (a) Figure (a)

Explanation:
1. After two folds Z is the lower-right quarter with a rectangular notch cut from its outer right edge.
2. Unfolding the vertical fold places the same notch on the left edge.
3. Unfolding the horizontal fold repeats both notches in the upper half: two notches on each side edge, figure (a).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (b) Figure (b)

Explanation:
1. The lower half is folded up, then the right half is folded to the left, so Z is the top-left quarter with four layers.
2. The punched hole is near the left edge of that quarter, a little above the horizontal fold line.
3. Unfolding gives one hole in each quarter, all near the left and right edges: two close holes on the left and two on the right, figure (b).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (b) Figure (b)

Explanation:
1. The right half is folded to the left and then the top half is folded down; Z is the lower-left quarter.
2. The rectangular notch on the vertical fold line opens into a full horizontal slot; the slant cut on the outer left edge touching the horizontal fold opens into a '<' notch.
3. So there are slots at the top and bottom and V-shaped notches on the left and right edges: figure (b).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (d) Figure (d)

Explanation:
1. X folds the top and bottom thirds onto the middle strip; Y folds the strip in half from left to right.
2. Unfolding Y gives two upright triangles in the middle strip and semicircular notches on both side edges.
3. Unfolding X reflects them into the top and bottom thirds, so those triangles point downward: three notches per side and triangles down-up-down, figure (d).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (b) Figure (b)

Explanation:
1. The top and bottom segments and then the left and right segments of the circle are folded in, giving a square with a flap under each edge.
2. The star at the centre passes through one layer only, so one star appears at the centre.
3. Each semicircle is cut on a fold line through the paper and the flap below it, so it opens into a full circular hole: four round holes around the star, figure (b).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (d) Figure (d)

Explanation:
1. Two diagonal folds bring the sheet to a quarter triangle with its point at the centre of the sheet.
2. The straight cut across the point removes a small piece at the centre; repeated in all four quarters it forms a square hole with sides parallel to the edges.
3. The cuts at the two outer corners remove a small square from each corner of the sheet: figure (d).

Teacher's Note:
1. For a diagonal fold, a point (x, y) reflects to the point the same distance on the other side of the diagonal, so orientation of shapes also turns.
2. Count the layers under the punch first: two folds give four layers, so expect four holes.

Answer: (a) Figure (a)

Explanation:
1. After two folds Z is the lower-right quarter; three of its corners are cut off, but not the corner at the sheet's centre.
2. The corner at the sheet's corner gives chamfered corners; the two corners on the fold lines give V-shaped notches at the middle of every edge.
3. There is no hole at the centre, so the unfolded sheet is the cross-like shape of figure (a).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (c) Figure (c)

Explanation:
1. X folds the left half onto the right; Y folds the roof part down along the horizontal line.
2. The small triangle cut at the corner where both fold lines meet opens into a diamond-shaped hole at the centre of the roof line.
3. The small square near the bottom is copied to both bottom corners, so the result is figure (c).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (d) Figure (d)

Explanation:
1. X folds along the diagonal from bottom-left to top-right; Y folds along the line from the top-left corner to the centre.
2. In Z a circle and a downward triangle sit near the left edge; unfolding Y reflects them near the top edge, the triangle now pointing right.
3. Unfolding X reflects all four shapes across the diagonal (to the right and bottom edges, turning the triangles), which matches figure (d).

Teacher's Note:
1. For a diagonal fold, a point (x, y) reflects to the point the same distance on the other side of the diagonal, so orientation of shapes also turns.
2. Count the layers under the punch first: two folds give four layers, so expect four holes.

Answer: (d) Figure (d)

Explanation:
1. The sheet is folded in half twice, so Z is a quarter whose top-left corner is the centre of the sheet.
2. The cut piece touches that centre corner.
3. Unfolding reflects it into all four quarters around the centre, giving four petal shapes meeting at the centre: figure (d).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (c) Figure (c)

Explanation:
1. The side flaps are folded in, the sheet is folded in half, and then the top part is folded down.
2. The hole near the centre fold goes through four layers, giving a block of four holes in the middle.
3. The hole near the outer bottom corner also passes through the side flap and the folded-down top part, giving pairs at the bottom corners and single holes at the top corners: figure (c).

Teacher's Note:
1. Unfold one step at a time, in the reverse order of folding, reflecting every hole across each fold line.
2. A cut that touches a fold line opens into one bigger, symmetric hole across that line; a cut on an open edge stays a notch on the edge.

Answer: (a) 1, 5, 9; 2, 6, 8; 3, 4, 7

Explanation:
1. Figures 1, 5 and 9 are squares (1 and 5 are tilted).
2. Figures 2, 6 and 8 are circles.
3. Figures 3, 4 and 7 are triangles.

Teacher's Note:
1. Look for one simple common feature (number of sides, number of lines, inside/outside placement, shading) shared by exactly three figures.
2. Fix the most obvious group first, then check only the options that contain it.

Answer: (d) 1, 6, 9; 3, 4, 7; 2, 5, 8

Explanation:
1. Figures 1, 6 and 9 have three sides (triangles).
2. Figures 3, 4 and 7 have four sides (quadrilaterals).
3. Figures 2, 5 and 8 have five sides (pentagons, two of them with a notch).

Teacher's Note:
1. Look for one simple common feature (number of sides, number of lines, inside/outside placement, shading) shared by exactly three figures.
2. Fix the most obvious group first, then check only the options that contain it.

Answer: (a) 1, 2, 3; 4, 5, 6; 7, 8, 9

Explanation:
1. Figures 1, 2 and 3 are each made of 2 straight lines.
2. Figures 4, 5 and 6 are each made of 3 straight lines.
3. Figures 7, 8 and 9 are each made of 4 straight lines.

Teacher's Note:
1. Look for one simple common feature (number of sides, number of lines, inside/outside placement, shading) shared by exactly three figures.
2. Fix the most obvious group first, then check only the options that contain it.

Answer: (b) 1, 5, 7; 2, 4, 8; 3, 6, 9

Explanation:
1. 1, 5 and 7: a figure inside a similar figure, with the inner one divided into equal parts.
2. 2, 4 and 8: a different, shaded figure placed inside the outer figure.
3. 3, 6 and 9: a figure inside a similar figure with the space between them shaded black.

Teacher's Note:
1. Look for one simple common feature (number of sides, number of lines, inside/outside placement, shading) shared by exactly three figures.
2. Fix the most obvious group first, then check only the options that contain it.

Answer: (b) 1, 7, 9; 2, 3, 6; 4, 5, 8

Explanation:
1. 1, 7 and 9: a figure inside a similar figure without touching it.
2. 2, 3 and 6: a figure inside a similar figure, touching it.
3. 4, 5 and 8: a figure divided into equal parts by straight lines through the centre.

Teacher's Note:
1. Look for one simple common feature (number of sides, number of lines, inside/outside placement, shading) shared by exactly three figures.
2. Fix the most obvious group first, then check only the options that contain it.