Free Finastra Spatial Reasoning Assessment Test Questions and Answers — Questions and Answers
Question 1: How would the 3D form seem from above?
- A (Correct answer)
- B
- C
- D
Correct answer: A
When viewing a 3D form from above, you are essentially looking down on its top surface. Option A correctly represents the two-dimensional projection of the 3D shape as seen directly from a bird's-eye perspective. This means that the visible lines and contours in option A accurately depict the top-most features of the original object.
Question 2: What shape has the correct mirror image of the others?
- A (Correct answer)
- B
- C
- D
Correct answer: A
A mirror image reverses an object across an axis, creating a symmetrical reflection. Option A is the only shape that presents a correct mirror image when compared to the implied original or other options. This means its features are flipped horizontally or vertically in a precise and accurate manner, unlike the other choices which may show rotations or incorrect transformations.
Question 3: Which of the given shapes, but in a different position, is the same 3D shape?
- A
- B (Correct answer)
- C
Correct answer: B
This question tests spatial reasoning, asking to identify the same 3D shape presented in a different orientation. Option B depicts the identical 3D shape as the original, merely rotated or repositioned in space. All its dimensions, angles, and features remain consistent with the initial figure, confirming it is the same object from a different viewpoint.
Question 4: Which of the following shapes would the net resemble if it were folded into a cube?
- A
- B
- C
- D (Correct answer)
Correct answer: D
A net is a 2D pattern that can be folded along its edges to form a 3D shape. For a cube, the net must consist of six squares arranged in a specific configuration that allows them to fold up without overlapping or leaving gaps. Option D represents a valid net for a cube, typically a 'T' or 'cross' shape, which correctly forms a closed cube when folded.
Question 5: How many blocks in the illustration below are cubes?
- 50
- 48
- 52 (Correct answer)
Correct answer: 52
To count the total number of cubes, you must count all visible cubes and infer any hidden cubes necessary to support the visible structure. By systematically counting layers and accounting for depth, the total number of individual cubic blocks in the illustration sums up to 52. This often involves visualizing the complete structure, including parts not directly seen.
Question 6: The next image is a cube when viewed in three dimensions. What are the fundamental geometrical shapes present when the same figure is seen in two dimensions?
- 1 nonagon
- 1 hexagon and 3 squares
- 4 squares
- 3 rhombuses and 1 hexagon (Correct answer)
Correct answer: 3 rhombuses and 1 hexagon
When a cube is viewed in three dimensions, particularly in an isometric projection, its faces appear as rhombuses due to the perspective. The overall outline formed by the visible edges of the cube creates a hexagon. Therefore, the fundamental 2D shapes present in such a view are typically three rhombuses (representing the visible faces) and one hexagon (representing the outer perimeter).
Question 7: Which of the shadows on the right could result from lighting one of the 3D shape's sides?
- A
- B (Correct answer)
- Both
- None of the above
Correct answer: B
A shadow is a two-dimensional projection of a 3D object when light is cast upon it. The shape of the shadow depends on the object's form and the angle of the light source. Option B correctly depicts a possible shadow that could be cast by one of the 3D shape's sides, indicating a plausible projection of its form onto a flat surface.
How would the 3D form seem from above?