WORKED EXAMPLE (not scored). A flat net is shown in the diagram. When it is folded along the dotted lines it makes a cube. Method: (1) each square on the net keeps its own symbol, drawn at the same rotation, once the cube is folded - folding does not rotate, mirror or re-shade any symbol; (2) two squares that are opposite each other on the net (Left/Right, Front/Back, Top/Bottom) can never both appear as visible faces meeting at one corner of the cube, so a cube option that has swapped a face for its opposite face's symbol cannot be correct; (3) check every option against the net's actual symbols and orientations, and eliminate any option that rotates a symbol, mirrors a symbol, shows the wrong (opposite) face, or changes the shading or fine detail of a symbol. Which option, A to E, could be the resulting cube?
(Total for Question 0 is 0 marks)
1
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 1 is 1 mark)
2
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 2 is 1 mark)
3
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 3 is 1 mark)
4
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 4 is 1 mark)
5
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 5 is 1 mark)
6
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 6 is 1 mark)
7
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 7 is 1 mark)
8
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 8 is 1 mark)
9
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 9 is 1 mark)
10
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 10 is 1 mark)
11
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 11 is 1 mark)
12
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 12 is 1 mark)
13
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 13 is 1 mark)
14
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 14 is 1 mark)
15
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 15 is 1 mark)
16
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 16 is 1 mark)
17
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 17 is 1 mark)
18
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 18 is 1 mark)
19
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 19 is 1 mark)
20
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 20 is 1 mark)
21
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 21 is 1 mark)
22
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 22 is 1 mark)
23
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 23 is 1 mark)
24
The flat net in the diagram is folded along the dotted lines to make a cube. Which option, A to E, could be the resulting cube?
(Total for Question 24 is 1 mark)
Mark scheme · EP.N9 Cube Nets
Question 0
B0 Worked example - no marks awarded. Demonstrates the method: faces keep their net orientation when folded; opposite faces (Top/Bottom, Front/Back, Left/Right) can never appear together at one corner; check for rotation, mirroring, wrong-face swaps and shading changes in turn.
Answer: C
Question 1
B1 Correct option identified (A oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: A
Question 2
B1 Correct option identified (B oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: B
Question 3
B1 Correct option identified (C oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: C
Question 4
B1 Correct option identified (D oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: D
Question 5
B1 Correct option identified (E oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: E
Question 6
B1 Correct option identified (A oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: A
Question 7
B1 Correct option identified (B oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: B
Question 8
B1 Correct option identified (C oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: C
Question 9
B1 Correct option identified (D oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: D
Question 10
B1 Correct option identified (E oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: E
Question 11
B1 Correct option identified (A oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: A
Question 12
B1 Correct option identified (B oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: B
Question 13
B1 Correct option identified (C oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: C
Question 14
B1 Correct option identified (D oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: D
Question 15
B1 Correct option identified (E oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: E
Question 16
B1 Correct option identified (A oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: A
Question 17
B1 Correct option identified (B oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: B
Question 18
B1 Correct option identified (C oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: C
Question 19
B1 Correct option identified (D oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: D
Question 20
B1 Correct option identified (E oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: E
Question 21
B1 Correct option identified (A oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: A
Question 22
B1 Correct option identified (B oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: B
Question 23
B1 Correct option identified (C oe) - the only cube whose TOP, FRONT and RIGHT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded
Answer: C
Question 24
B1 Correct option identified (D oe) - the only cube whose TOP, FRONT and LEFT faces all match the net exactly, with no face rotated, mirrored, swapped for its opposite, or re-shaded