Overlapping Shapes in 11-Plus Non-Verbal Reasoning

Understanding Overlapping Shapes

In 11-plus Non-Verbal Reasoning, one important topic is overlapping shapes. This concept involves predicting the result when two or more shapes are combined or overlapped. Students must develop the ability to visualize how these shapes interact and what the final combined image will look like.

Visualizing Overlaps

When two shapes overlap, there are several key areas to consider:

• Areas covered by both shapes: These are the regions where the shapes intersect, creating a new shape that represents the overlap.
• Areas covered by only one shape: These are the regions that are exclusive to each shape and do not overlap with the other.
• The final combined image: This is the complete picture that includes both the overlapping and non-overlapping areas of the shapes.

Types of Questions

Questions related to overlapping shapes may involve:

• Transparent overlays: Students might be asked to visualize how one shape appears when placed over another, often requiring them to determine the visible sections.
• Solid shapes: These questions may present solid shapes and ask students to identify the resultant shape after the overlap.

Worked Example

Problem: If a circle and a square overlap, what will the combined shape look like?

Solution:

• Visualize the circle and square on a piece of paper.
• Identify the area where both shapes intersect.
• The resulting shape will include the area of the circle that overlaps with the square, as well as the parts of the circle and square that do not overlap.

By practicing overlapping shapes, students can enhance their spatial awareness and improve their visual problem-solving skills, which are crucial for success in the 11-plus exams.