Free Online IQ Test for Kids - MentalUP - Free Printable

To solve this problem, we need to identify the pattern or rule governing the arrangement of shapes in the grid. Let's analyze the given image step by step.

Step 1: Observe the Grid Structure

The grid is a 3x3 matrix with the following layout:

| Row 1 | Row 2 | Row 3 |
|-------|-------|-------|
| Shape 1 | Shape 2 | Shape 3 |
| Shape 4 | Shape 5 | Shape 6 |
| Shape 7 | Shape 8 | Shape 9 |

We are tasked with determining the shape that should replace the question mark in the bottom-right corner (Shape 9).

Step 2: Analyze Each Row

Let's examine each row to identify any patterns:

#### Row 1:
- Shape 1: A small white circle.
- Shape 2: A red-filled square inside a white square.
- Shape 3: A red-filled square.

Pattern in Row 1:
- The shapes seem to progress from a simple outline to a filled shape. Specifically:
- Shape 1: Simple outline (circle).
- Shape 2: Outline with a smaller filled shape inside.
- Shape 3: Fully filled shape.

#### Row 2:
- Shape 4: A yellow triangle.
- Shape 5: A yellow triangle outlined in black.
- Shape 6: A white circle outlined in gray.

Pattern in Row 2:
- The shapes involve transformations related to outlines and colors:
- Shape 4: Solid yellow triangle.
- Shape 5: Yellow triangle with a black outline.
- Shape 6: White circle with a gray outline.

#### Row 3:
- Shape 7: A yellow triangle.
- Shape 8: A red triangle inside a yellow square.

Pattern in Row 3:
- Similar to Row 1, there is a progression from a simple shape to a more complex one:
- Shape 7: Solid yellow triangle.
- Shape 8: Red triangle inside a yellow square (a combination of shapes).

Step 3: Identify the Missing Shape

Based on the patterns observed:
- In Row 1, the progression is from a simple outline to a fully filled shape.
- In Row 2, the progression involves adding outlines to shapes.
- In Row 3, the progression involves combining shapes (e.g., a triangle inside a square).

Given that Shape 8 in Row 3 is a red triangle inside a yellow square, the missing shape (Shape 9) should follow a similar logic of combining shapes or adding complexity.

Step 4: Determine the Correct Shape

Since Shape 8 is a red triangle inside a yellow square, a logical next step would be to consider a shape that continues this theme of combining or nesting shapes. A reasonable choice would be a shape that is a variation of a circle with an inner shape, similar to how the square in Shape 8 contains a triangle.

Final Answer:

The missing shape should be a white circle outlined in gray with a smaller shape inside it. Given the options typically available in such puzzles, the most fitting shape would be a white circle outlined in gray with a smaller red circle inside.

Thus, the answer is:

\boxed{\text{A white circle outlined in gray with a smaller red circle inside.}}