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Spatial reasoning and assembly · SET 10

Question 1

AI reconstruction. Choose the patch that fills the white opening and continues the black circular boundaries. Added conditions: resize the option uniformly, keep its shown orientation, and require both the outside boundary and internal arcs to match.

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Question 2

Which option shows the flat two-dimensional view from the back, following the arrow? Blocks directly behind one another overlap in this view.

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Question 3

Which solid can be made from the shaded net? Preserve the shape of every face and which faces are shaded.

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Question 4

Which solid can be made from the shaded net in the grey box? Track which faces are shaded as you fold.

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Question 5

The grey box shows three views of the same cube. Which option replaces the blank face? Match both the neighbouring faces and the orientation of the marks.

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Question 6

AI reconstruction (instruction and added conditions): Choose the square patch that completes the missing part of the drawing. All boundary objects must join. Keep the shown orientation without rotation or reflection; uniform resizing to fit is allowed.

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Question 7

Which cube can be made by folding the net? Match both neighbouring faces and the directions of their symbols.

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Question 8

AI reconstruction. Fill the four white triangular gaps inside the small central square. Each inserted blade must have the same colour as the existing coloured triangle in its quadrant. Which four-blade piece fits without rotation or reflection?

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Question 9

Which three-dimensional shape can be folded from the shaded net? Keep every shaded and unshaded face unchanged.

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Question 10

AI reconstruction. Choose the view directly from above, as indicated by the eye and arrow. Added condition: preserve the left-right and back-front arrangement of the six visible columns; use each column’s top colour.

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Question 11

The grey box shows three views of the same cube. Which option replaces the blank face in the third view? Keep each symbol’s orientation.

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Question 12

AI reconstruction. Fit one piece into the white gap so that the whole outline becomes a square. Do not rotate or reflect the choices. Continue the magenta left half and turquoise right half of the square, and continue the thin diagonal line entering the gap from the upper-left. Which piece works?

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Question 13

Which option shows the flat two-dimensional view from the left, following the arrow? Blocks directly behind one another overlap in this view.

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Question 14

Which option is the same three-dimensional object as the target after rotation? Keep the colour, length and connections of every piece unchanged.

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Question 15

Which option is the same three-dimensional solid as the target after rotation? Keep all colours, piece lengths and connections unchanged.

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Question 16

Which solid can be made from the shaded net in the grey box? Track which faces are shaded as you fold.

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Question 17

Which option is the same three-dimensional object as the target after rotation? Keep the colour, length and connections of every piece unchanged.

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Question 18

AI reconstruction (instruction and added conditions): Treat the drawing as a right prism with a regular hexagonal cross-section resting on its lower face. Look vertically down from above, with the far end at the top of the answer diagram. Coloured rods are opaque: a higher rod hides a lower rod on the same sight line. Ignore tiny overlaps at joints. Which option shows the top view?

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Question 19

AI reconstruction: Choose the piece that fills the visible missing cells to complete a 3 by 3 by 3 cube. Keep the shown orientation and the front, middle and back color layers. Do not remove or overlap existing cubes.

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Question 20

Which option shows the solid viewed from the back, following the arrow? Preserve every piece and dividing line.

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