CAT4 - Cognitive Abilities Test Fourth Edition Figure Classification Questions and Answers 1 — Questions and Answers
Question 1: Look at the three figures. They are alike in some way. Which of the answer choices goes with the first three figures in the same way? [Image containing three shapes: 1. A square with a small black circle in the top-left corner. 2. A triangle with a small black circle in the top corner. 3. A pentagon with a small black circle in the top-left corner.]
- A hexagon with a small black circle in the top-left corner. (Correct answer)
- A square with a small white circle in the top-left corner.
- A hexagon with a small black circle in the center.
- A circle with a small black square in the top-left corner.
Correct answer: A hexagon with a small black circle in the top-left corner.
The rule is that each figure has a small, black circle positioned in its uppermost corner. Answer A, a hexagon with a small black circle in its top-left corner, follows this rule. Answer B is incorrect because the circle is white. Answer C is incorrect because the circle is in the center. Answer D is incorrect because the small shape is a square, not a circle.
Question 2: The first three shapes are related in a certain way. Select the answer choice that is related to the first three in the same way. [Image containing three shapes: 1. A large square containing a smaller triangle. 2. A large circle containing a smaller square. 3. A large pentagon containing a smaller circle.]
- A large triangle containing a smaller circle.
- A large square containing a smaller square.
- A large hexagon containing a smaller pentagon. (Correct answer)
- A large circle containing a smaller triangle.
Correct answer: A large hexagon containing a smaller pentagon.
The rule is that the inner shape has one less side than the outer shape. A square has 4 sides and the inner triangle has 3. A circle can be considered to have infinite sides, so a square has fewer. A pentagon has 5 sides and the inner shape is a circle. Answer C follows this rule, as a hexagon (6 sides) contains a pentagon (5 sides). The other options do not follow the 'one less side' rule.
Question 3: Which of the following figures belongs with the first three? [Image containing three shapes: 1. A grey square divided into four equal smaller squares by two intersecting lines. 2. A grey circle divided into four equal wedges by two intersecting lines. 3. A grey equilateral triangle divided into four smaller equal triangles by lines connecting the midpoints of the sides.]
- A grey rectangle divided into four unequal sections.
- A white square divided into four equal smaller squares.
- A grey regular hexagon divided into six equal equilateral triangles.
- A grey regular pentagon divided into five equal triangles from the center. (Correct answer)
Correct answer: A grey regular pentagon divided into five equal triangles from the center.
The rule is that a grey, regular polygon is divided into a number of equal triangles equal to its number of sides, with all lines originating from the center. The first three figures are special cases or variations of this concept (a square into 4, a circle into 4 wedges, a triangle into 4 smaller triangles). The most consistent underlying rule is a regular shape divided into equal sections. Answer D, a grey pentagon divided into five equal triangles from its center, fits this pattern. Answer A is incorrect because the sections are unequal. Answer B is incorrect because the shape is white. Answer C is incorrect because a hexagon has 6 sides, not five, although it is divided into equal triangles.
Question 4: Examine the first three figures to find a common rule. Then, find the figure from the answer choices that follows the same rule. [Image containing three shapes: 1. A shape made of 3 black squares and 1 white square. 2. A shape made of 3 black circles and 1 white circle. 3. A shape made of 3 black triangles and 1 white triangle.]
- A shape made of 2 black squares and 2 white squares.
- A shape made of 3 black stars and 1 white star. (Correct answer)
- A shape made of 3 white squares and 1 black square.
- A shape made of 4 black squares.
Correct answer: A shape made of 3 black stars and 1 white star.
The rule is that each figure is composed of four identical shapes, three of which are black and one of which is white. Answer B follows this rule with stars. Answer A is incorrect because it has two black and two white shapes. Answer C is incorrect because it has three white and one black shape. Answer D is incorrect because it has no white shapes.
Question 5: The three figures on the left are alike. Which figure on the right is most like them? [Image containing three shapes: 1. A symmetrical cross shape. 2. A shape with a vertical line of symmetry (like a capital 'A'). 3. A shape with a horizontal line of symmetry (like a capital 'E' on its side).]
- A shape with no lines of symmetry (like a capital 'F').
- A shape with a diagonal line of symmetry.
- A shape with at least one line of symmetry (like a capital 'T'). (Correct answer)
- A shape with rotational symmetry but no line symmetry (like a capital 'S').
Correct answer: A shape with at least one line of symmetry (like a capital 'T').
The common characteristic of the first three figures is that they all possess at least one line of symmetry. The cross has both horizontal and vertical symmetry. The 'A' shape has vertical symmetry. The rotated 'E' has horizontal symmetry. Answer C, a 'T' shape, also has a vertical line of symmetry. The other options describe shapes that lack any line of symmetry or have a different type of symmetry.
Question 6: Consider the relationship between the first three images. Which of the answer choices shares that same relationship? [Image containing three shapes: 1. A large black arrow pointing up. 2. A large black arrow pointing right. 3. A large black arrow pointing down.]
- A large white arrow pointing up.
- A small black arrow pointing left.
- A large black arrow pointing left. (Correct answer)
- A large black arrow pointing up and right (diagonally).
Correct answer: A large black arrow pointing left.
The rule is a sequence of 90-degree clockwise rotations of a large, black arrow. The sequence goes from up (0 degrees), to right (90 degrees), to down (180 degrees). The next logical step in this rotation sequence would be left (270 degrees). Therefore, a large black arrow pointing left is the correct answer. The other options are incorrect because they change the color, size, or are not part of the 90-degree rotation sequence.
CAT4 - Cognitive Abilities Test Fourth Edition Figure Classification Questions and Answers 1
Look at the three figures.
They are alike in some way.
Which of the answer choices goes with the first three figures in the same way?
[Image containing three shapes: 1.
A square with a small black circle in the top-left corner. 2.
A triangle with a small black circle in the top corner. 3.
A pentagon with a small black circle in the top-left corner.]