UMAT Abstract Reasoning 2 — Questions and Answers
Question 1: A UMAT abstract matrix has a rule: each row, the number of dots increases by 1. Row 1: 1 dot, 2 dots, 3 dots. Row 2: 4 dots, 5 dots, ? What is the missing value?
- 5
- 6 (Correct answer)
- 7
- 4
Correct answer: 6
The dots increase by 1 each cell: row 2 continues 4, 5, 6.
Question 2: Each figure in a sequence alternates between having a black fill and a white fill. If figure 1 is black, what is figure 6?
- Black
- White (Correct answer)
- Grey
- Striped
Correct answer: White
The alternating pattern is black (odd positions), white (even positions): figure 6 is at an even position, so it is white.
Question 3: In a UMAT matrix, the rule is: the shape in each column rotates 45° clockwise from the row above. A diamond (◇) is in row 1. What shape occupies row 2?
- Diamond (◇)
- Square (□) (Correct answer)
- Triangle
- Circle
Correct answer: Square (□)
A diamond rotated 45° clockwise becomes a square, as its vertices align with the horizontal and vertical axes.
Question 4: In a pattern, each figure adds a new concentric ring. Figure 1 has 1 ring, Figure 3 has 3 rings. How many rings does Figure 5 have?
- 4
- 5 (Correct answer)
- 6
- 10
Correct answer: 5
The number of rings equals the figure number, so Figure 5 has 5 rings.
Question 5: A UMAT set categorization question: Set A figures all have an even number of sides, Set B figures all have an odd number of sides. A circle belongs to:
- Set A
- Set B
- Neither (Correct answer)
- Both
Correct answer: Neither
A circle has no sides (zero sides, or is considered to have infinite sides), so it does not fit neatly into either set defined by even or odd numbers of sides.
Question 6: In an abstract reasoning task, one figure has a large shape containing a small shape. The next figure has the small shape containing an even smaller shape. What principle governs this sequence?
- Rotation
- Recursive nesting at decreasing scale (Correct answer)
- Reflection
- Color alternation
Correct answer: Recursive nesting at decreasing scale
The pattern shows recursive nesting where each iteration embeds a smaller version of the same structure inside the previous figure.
A UMAT abstract matrix has a rule: each row, the number of dots increases by 1.
Row 1: 1 dot, 2 dots, 3 dots.
Row 2: 4 dots, 5 dots, ? What is the missing value?