11+ Entrance Non-Verbal Reasoning: Matrices Questions and Answers

Question 1

A 3x3 grid is presented. The top row contains: [A square with a small black circle in the top-left corner], [A square with a small black circle in the top-right corner], [A square with a small black circle in the bottom-right corner]. The middle row contains: [A triangle with a small black circle in the top-left corner], [A triangle with a small black circle in the top-right corner], [A triangle with a small black circle in the bottom-right corner]. The bottom row contains: [A circle with a small black circle in the top-left corner], [A circle with a small black circle in the top-right corner], [A missing square]. Which of the options below completes the grid?

Accepted Answer

A circle with a small black circle in the bottom-right corner

Answer

The logic of the matrix operates both horizontally and vertically. Each row features the same main shape (square, triangle, circle). Each column features the same position for the small black circle (top-left, top-right, bottom-right). Therefore, the missing square must contain the shape from its row (a circle) and the small circle position from its column (bottom-right).

Question 2

In a 3x3 grid, a sequence of shapes unfolds. The top row shows: [A single horizontal line], [Two horizontal lines], [Three horizontal lines]. The middle row shows: [A single vertical line], [Two vertical lines], [Three vertical lines]. The bottom row shows: [A single diagonal line (bottom-left to top-right)], [Two diagonal lines], [A missing square]. Which of the options below is the correct final square in the sequence?

Accepted Answer

Three diagonal lines (bottom-left to top-right)

Answer

The pattern in the matrix is based on the type of line and the quantity. Each row maintains a consistent type of line (horizontal, vertical, or diagonal). The number of lines increases by one in each step from left to right across each row (1, 2, 3). The final square must therefore contain three diagonal lines, matching the pattern of its row.

Question 3

A 3x3 grid contains arrows. The top row: [Arrow points North], [Arrow points North-East], [Arrow points East]. The middle row: [Arrow points South-West], [Arrow points South], [Arrow points South-East]. The bottom row: [Arrow points West], [A missing square], [Arrow points North]. What is the missing arrow?

Accepted Answer

Arrow points North-West

Answer

The arrows in the grid are rotating clockwise by 45 degrees. Following the sequence from the top-left (North) across the rows, the pattern is N, NE, E, then it appears to jump. However, if you follow the pattern starting from the bottom-left (West), it goes West, ?, North. To fit the overall clockwise rotation pattern seen in the top row, the missing arrow must be North-West, completing the sequence: West, North-West, North.

Question 4

Consider a 2x2 grid with one square missing. The top-left square contains a large circle with a small triangle inside it. The top-right square contains just a large circle. The bottom-left square contains a large square with a small triangle inside it. Which of the options below correctly fills the missing bottom-right square?

Accepted Answer

A large square

Answer

The rule in this matrix operates from left to right. In the top row, the inner shape (the small triangle) is removed to leave only the outer shape (the large circle). Applying this same 'remove the inner shape' rule to the bottom row, the small triangle is removed from the large square, leaving just the large square.

Question 5

A 3x3 grid contains squares with different shading. In the top row, the squares are: [Shaded top half], [Shaded bottom half], [Fully shaded]. In the middle row, the squares are: [Shaded left half], [Shaded right half], [Fully shaded]. In the bottom row, the squares are: [Shaded top half], [Shaded right half], [A missing square]. What is the missing square?

Accepted Answer

A square with the top half and right half shaded

Answer

The logic in this matrix is that the third square in each row is a superposition, or combination, of the shading in the first two squares. In the top row, shading the top half and the bottom half results in a fully shaded square. The same applies to the middle row (left half + right half = full). Therefore, in the bottom row, combining the shading of the top half and the right half results in a square with both the top and right halves shaded.

11+ Practice Test

11+ Practice Test

11+ Entrance Non-Verbal Reasoning: Matrices Questions and Answers