11-Plus Non-Verbal Reasoning: Sequences and Patterns

Sequences and Patterns in Non-Verbal Reasoning

In the realm of 11-plus Non-Verbal Reasoning, one of the key skills students must develop is the ability to identify sequences and patterns in shapes. This involves recognizing visual patterns and determining what comes next in a sequence.

Understanding Sequences

A sequence is a series of shapes or images that follow a particular rule or set of rules. Students will encounter various types of sequences, which may involve:

• Changes in size: Shapes may increase or decrease in size.
• Position: Shapes may shift their position within the sequence.
• Rotation: Shapes may be rotated at different angles.
• Shading: The shading or color of shapes may change.
• Number of elements: The number of shapes in the sequence may vary.

Identifying Patterns

To successfully identify the next shape in a sequence, students must carefully observe each step and identify the governing rule or rules. Here are some strategies to help:

1. Observe the first few shapes: Look for any obvious changes in size, position, or orientation.
2. Identify the rule: Determine if the changes follow a consistent pattern. For example, if the shapes are rotating, note the angle of rotation.
3. Test your hypothesis: Once a potential rule is identified, apply it to predict the next shape in the sequence.

Worked Example

Problem: Consider the following sequence of shapes: a small circle, a medium circle, and a large circle. What is the next shape?

Solution:

• Observe the sequence: The size of the circles is increasing.
• The pattern indicates that the next shape should be an even larger circle.
• Answer: The next shape is a larger circle.

Practicing these skills will enhance students' visual problem-solving abilities and prepare them for the challenges of the 11-plus entrance exam.