CAT4 - Cognitive Abilities Test Fourth Edition Spatial Ability Questions and Answers — Questions and Answers
Question 1: A 3D cube is shown with distinct symbols on three visible faces: a solid circle, a solid square, and a solid triangle. If the circle is on the top face and the square is on the front face, which of the following unfolded nets could represent this cube? [Image of a cube with a circle on top, a square on the front, and a triangle on the right face. The four answer choices are images of unfolded cube nets.]
- A net where the circle, square, and triangle are in a row, in that order.
- A net where the circle is above the square, and the triangle is to the right of the square. (Correct answer)
- A net where the square is between the circle and the triangle in a single column.
- A net where the circle and triangle are on opposite ends of a 4-square row, with the square attached below one of the middle squares.
Correct answer: A net where the circle is above the square, and the triangle is to the right of the square.
The correct answer is B. In the 3D view, the circle, square, and triangle faces all meet at a single corner. When unfolding the cube, these three faces must remain adjacent to each other. Option B shows a configuration where, if the square is the base, the circle can be folded up to be the front, and the triangle can be folded up to be the right face, matching the spatial relationship shown in the original cube. Options A, C, and D place the faces in arrangements where they would not meet at a single vertex when folded.
Question 2: A complex geometric shape is presented. Which of the four smaller shapes below is hidden within the complex shape, maintaining the same size and orientation? [Image of a complex figure made of overlapping lines and shapes. The four answer choices are smaller, simpler geometric figures.]
- A small equilateral triangle.
- A perfect square.
- A shape resembling the letter 'F'. (Correct answer)
- A regular pentagon.
Correct answer: A shape resembling the letter 'F'.
The correct answer is C. This question assesses Figure Recognition. By carefully scanning the complex image, you can trace the exact outline of the shape resembling the letter 'F'. The other shapes (triangle, square, pentagon) are not present in their exact form, size, and orientation within the larger figure, although some of their component lines may be.
Question 3: Consider a 3x3 matrix of figures where the bottom-right figure is missing. A rule governs the patterns both horizontally and vertically. What figure completes the matrix? [Image of a 3x3 grid. Row 1: Square, Circle, Triangle. Row 2: Circle, Triangle, Square. Row 3: Triangle, Square, ?]
- Triangle
- Square
- Circle (Correct answer)
- Pentagon
Correct answer: Circle
The correct answer is C. This is a Figure Matrix problem. The rule in each row and each column is that all three unique shapes (Square, Circle, Triangle) must be present exactly once, similar to a Sudoku puzzle. The first row has all three. The second row has all three. The first column has all three. The second column has all three. The third row is missing a Circle. The third column is also missing a Circle. Therefore, the missing figure must be a Circle.
Question 4: A sequence of five figures is shown, changing according to a consistent pattern. Which figure from the answer choices should come next in the sequence? [Image shows a sequence: 1. A square with a dot in the top-left corner. 2. A square with a dot in the top-right corner. 3. A square with a dot in the bottom-right corner. 4. A square with a dot in the bottom-left corner. 5. A square with a dot in the top-left corner.]
- A square with a dot in the bottom-right corner.
- A square with a dot in the center.
- A square with no dot.
- A square with a dot in the top-right corner. (Correct answer)
Correct answer: A square with a dot in the top-right corner.
The correct answer is D. The pattern shows a dot moving clockwise from one corner to the next within the square. From top-left (1), it moves to top-right (2), then bottom-right (3), then bottom-left (4). After the bottom-left corner, it returns to the top-left corner (5), restarting the cycle. The next position in the clockwise cycle after top-left is top-right.
Question 5: The three figures on the left are alike in some way. Which figure from the answer choices is most like the first three? [Image shows three figures on the left: 1. A pentagon with a smaller pentagon inside. 2. A circle with a smaller circle inside. 3. A hexagon with a smaller hexagon inside. The four answer choices are different figures.]
- A square with a circle inside.
- A triangle with a smaller triangle inside. (Correct answer)
- A large triangle.
- A square divided into four smaller squares.
Correct answer: A triangle with a smaller triangle inside.
The correct answer is B. This is a Figure Classification question. The rule governing the first three figures is that each contains a smaller, concentric version of the outer shape. Answer B, a triangle with a smaller triangle inside, follows this same rule. The other options do not: A has a different inner shape, C is a single shape, and D shows a shape being divided, not containing a smaller version of itself.
Question 6: The images show a square piece of paper being folded twice. First, it is folded in half diagonally. Second, the resulting triangle is folded in half again along its line of symmetry. A small square is then cut out from the corner where the two folds meet. What will the paper look like when fully unfolded? [Image shows the folding process and the final cut. The four answer choices show different unfolded patterns.]
- A single square hole in the center.
- Four square holes arranged in a diamond pattern.
- A single, larger diamond-shaped (rhombus) hole in the center. (Correct answer)
- Two square holes along one diagonal.
Correct answer: A single, larger diamond-shaped (rhombus) hole in the center.
The correct answer is C. This is a Figure Analysis question. The first fold is diagonal. The second fold brings the two acute corners of the triangle together. The cut is made at the right-angle corner of this final small triangle, which corresponds to the exact center of the original square paper. When unfolded once, the square cut becomes two triangles forming a larger triangle. When unfolded a second time, this larger triangle is mirrored across the main diagonal, forming a larger square hole rotated by 45 degrees, which appears as a diamond shape (rhombus) in the center of the paper.
CAT4 - Cognitive Abilities Test Fourth Edition Spatial Ability Questions and Answers
A 3D cube is shown with distinct symbols on three visible faces: a solid circle, a solid square, and a solid triangle.
If the circle is on the top face and the square is on the front face, which of the following unfolded nets could represent this cube? [Image of a cube with a circle on top, a square on the front, and a triangle on the right face.
The four answer choices are images of unfolded cube nets.]