Finastra Assessment Test Finastra Spatial Reasoning Assessment 5 — Questions and Answers
Question 1: A cube net is unfolded into a T-shape with 4 squares in a row and 1 square on each side of the second square from the left. Which two squares in the net will be opposite faces when folded?
- The two end squares of the row (Correct answer)
- The two side squares
- The first and third squares of the row
- The second and fourth squares of the row
Correct answer: The two end squares of the row
In a T-net, the squares at both ends of the horizontal strip fold to become opposite faces of the cube.
Question 2: A large equilateral triangle is divided into 4 equal smaller equilateral triangles. The pattern alternates shading: shaded, unshaded, shaded, unshaded. If you double the size of the large triangle (now divided into 16 small triangles), how many small triangles are shaded using the same alternating rule?
- 8 (Correct answer)
- 4
- 6
- 10
Correct answer: 8
With 16 small triangles following an alternating pattern, exactly half (8) will be shaded.
Question 3: Looking at a 3D block structure, you count 5 cubes from the front view and 3 cubes from the side view. What is the MINIMUM number of unit cubes needed to build this structure?
- 5 (Correct answer)
- 8
- 15
- 3
Correct answer: 5
The minimum is determined by the maximum of the two view dimensions — cubes can be shared between views, so the minimum is at least 5 (the larger view count).
Question 4: A semicircle is rotated 360° around its diameter. What 3D solid is formed?
- A sphere (Correct answer)
- A cylinder
- A cone
- A torus
Correct answer: A sphere
Rotating a semicircle 360° around its diameter sweeps out a complete sphere.
Question 5: In a spatial pattern test, the 'odd one out' rule: three of four objects can be transformed into each other through rotation alone. A square rotated 90° looks the same; which shape would be the odd one out if mixed with three rotated squares?
- A rectangle (Correct answer)
- A rhombus
- A square tilted 45°
- A larger square
Correct answer: A rectangle
A rectangle changes apparent proportions when rotated 90°, unlike a square which looks identical at 90° increments.
Question 6: A piece is reflected over a horizontal line, then reflected again over a vertical line. The combined effect is equivalent to which single transformation?
- 180° rotation about the intersection point (Correct answer)
- A translation diagonally
- A 90° rotation clockwise
- A reflection over a diagonal line
Correct answer: 180° rotation about the intersection point
Two reflections over perpendicular lines are equivalent to a 180° rotation about their intersection point.
Question 7: A 4×4 grid of cells has a pattern where shaded cells form an 'X' shape through the diagonals. How many cells are shaded?
- 7 (Correct answer)
- 8
- 6
- 4
Correct answer: 7
The two diagonals of a 4×4 grid together cover 4+4−1=7 cells (the center cell is shared only if the grid has odd dimensions; 4×4 has no single center, so 4+4=8 but they share 1 cell at each crossing = 7 unique cells).
A cube net is unfolded into a T-shape with 4 squares in a row and 1 square on each side of the second square from the left.
Which two squares in the net will be opposite faces when folded?