UCAT Abstract Reasoning 2 — Questions and Answers
Question 1: In an abstract pattern, shapes in Set A always have a curved edge. Shapes in Set B always have only straight edges. A circle is shown as a test shape. Which set does it belong to?
- Set A (Correct answer)
- Set B
- Both sets
- Neither set
Correct answer: Set A
A circle has only a curved edge, so it belongs to Set A which contains shapes with curved elements.
Question 2: A pattern matrix shows that the number of shapes in each box equals the row number multiplied by the column number. How many shapes are in the box at row 3, column 4?
- 7
- 10
- 12 (Correct answer)
- 16
Correct answer: 12
Row 3 × column 4 = 12 shapes.
Question 3: A figure rotates 60° counter-clockwise with each step. Starting at 0° (pointing right), after 6 steps what is the total rotation?
- 180°
- 270°
- 300°
- 360° (Correct answer)
Correct answer: 360°
6 steps × 60° per step = 360°, meaning the figure has returned exactly to its original orientation.
Question 4: In Set A, large shapes always contain a small version of the same shape inside. In Set B, large shapes always contain a different shape inside. A large circle containing a small circle belongs to which set?
- Set A (Correct answer)
- Set B
- Both sets
- Neither set
Correct answer: Set A
The large circle contains a small circle (same shape inside), which is the defining rule of Set A.
Question 5: A sequence of figures shows: 1 shape, 4 shapes, 9 shapes, 16 shapes. How many shapes appear in the 5th figure?
- 20
- 25 (Correct answer)
- 30
- 36
Correct answer: 25
The number of shapes follows the pattern n² (perfect squares): 1, 4, 9, 16, 25.
Question 6: A pattern alternates between squares and circles. All squares are shaded; all circles are unshaded. The sequence is: shaded square, unshaded circle, shaded square, unshaded circle... What is the 15th shape?
- Shaded square (Correct answer)
- Unshaded circle
- Shaded circle
- Unshaded square
Correct answer: Shaded square
Odd positions are shaded squares; since 15 is odd, the 15th shape is a shaded square.
Question 7: A pattern shows shapes arranged in a grid where shapes in the same row share the same color, and shapes in the same column share the same size. What two features together determine the position of any shape in this grid?
- Color and size (Correct answer)
- Shape type and color
- Size and number of sides
- Color and number of sides
Correct answer: Color and size
The row determines color and the column determines size, so a shape's position is fully defined by its color and size.
UCAT Abstract Reasoning 2
In an abstract pattern, shapes in Set A always have a curved edge.
Shapes in Set B always have only straight edges.
A circle is shown as a test shape.
Which set does it belong to?