11 Plus: Key Stage 2: 11 Plus Spatial Reasoning, 3D Shapes ... - Free Printable

Problem Analysis:

The task involves spatial reasoning and figure analysis, where we need to determine the correct transformation or pattern based on the given rules. Each row presents a sequence of shapes with a specific rule, and we need to identify the missing figure in the dashed box.

Let's analyze each row step by step:

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Row 1:

#### Given:
- Arrow: Rotates clockwise.
- Initial shape: A square with one circle in the top-left corner.
- Options: (a)–(e).

#### Observations:
1. The arrow rotates clockwise, indicating a transformation rule related to rotation.
2. The initial shape has one circle in the top-left corner.
3. The options show different placements of circles within the square.

#### Rule Identification:
- The circle moves in a clockwise direction around the square as the arrow rotates.
- Starting position: Top-left corner.
- After one rotation: Top-right corner.
- After two rotations: Bottom-right corner.
- After three rotations: Bottom-left corner.
- After four rotations: Back to the top-left corner.

#### Solution:
- The arrow in the dashed box is pointing right, which corresponds to a 90-degree clockwise rotation from the initial position.
- Therefore, the circle should move to the top-right corner.

#### Correct Answer:
- Option (b): Square with one circle in the top-right corner.

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Row 2:

#### Given:
- Arrow: Rotates clockwise.
- Initial shape: A square with one circle in the top-left corner.
- Options: (a)–(e).

#### Observations:
1. The arrow rotates clockwise, indicating a transformation rule related to rotation.
2. The initial shape has one circle in the top-left corner.
3. The options show squares with multiple circles in different configurations.

#### Rule Identification:
- The number of circles increases with each rotation.
- Starting position: One circle in the top-left corner.
- After one rotation: Two circles (one in the top-left and one in the top-right).
- After two rotations: Three circles (one in each corner except the bottom-right).
- After three rotations: Four circles (one in each corner).
- After four rotations: Five circles (one in each corner and one in the center).

#### Solution:
- The arrow in the dashed box is pointing left, which corresponds to a 90-degree clockwise rotation from the initial position.
- Therefore, the square should have two circles: one in the top-left corner and one in the top-right corner.

#### Correct Answer:
- Option (b): Square with two circles (top-left and top-right).

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Row 3:

#### Given:
- Arrow: Rotates clockwise.
- Initial shape: A horizontal line with two circles.
- Options: (a)–(e).

#### Observations:
1. The arrow rotates clockwise, indicating a transformation rule related to rotation.
2. The initial shape is a horizontal line with two circles.
3. The options show different configurations of circles within squares.

#### Rule Identification:
- The line rotates clockwise, and the circles maintain their relative positions.
- Starting position: Horizontal line with two circles.
- After one rotation: Vertical line with two circles.
- After two rotations: Horizontal line with two circles (opposite orientation).
- After three rotations: Vertical line with two circles (opposite orientation).
- After four rotations: Back to the initial horizontal line.

#### Solution:
- The arrow in the dashed box is pointing down, which corresponds to a 180-degree clockwise rotation from the initial position.
- Therefore, the shape should be a horizontal line with two circles, but in the opposite orientation.

#### Correct Answer:
- Option (d): Square with two circles forming a horizontal line at the bottom.

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Final Answers:

1. Row 1: (b)
2. Row 2: (b)
3. Row 3: (d)

$$
\boxed{b, b, d}
$$