NVR Progression - Fill in the Blank (3)

What Is a Numbers and Shapes Progression Question?

In some 11 Plus Non-Verbal Reasoning questions, the pattern is not about movement, rotation or alternating boxes. Instead, children may need to count something.

The shapes themselves may form a number sequence. For example, the number of sides may go down or up from one box to the next.

This can be tricky because the question looks visual, but the rule is numerical. Children need to learn that numbers and shapes can work together in Non-Verbal Reasoning.

How Are These Questions Shown in the 11 Plus Exam?

Candidates are usually shown an incomplete series of shapes. One shape is missing.

They are also given several possible answer shapes. One of these will complete the series in the most logical way.

The task is to identify the hidden rule. In this example, the key is to count the sides of each shape.

How to Find the Hidden Number Pattern

At first, this example may not look as though it has anything to do with numbers. There are no written numbers in the question.

However, if children count the sides of the shapes, the pattern becomes clearer.

The first shape has eight sides. The next has seven sides. The next has six sides. That suggests the missing shape should have five sides.

The only five-sided shape available in the answer options is D, so D is the answer.

Technique Tip: Turn Shapes into Numbers

Abstract shapes can feel awkward, but numbers are often easier to handle.

When children count the sides of the shapes in this example, the visual series can be written like this:

At first, the missing number appears to be 5, because the sequence is counting down: 8, 7, 6, 5.

This is why a five-sided answer is the most logical choice when it is available.

The Tricky Version: When More Than One Pattern Could Work

Some 11 Plus questions can be more subtle. Imagine that the five-sided shape was not available as an answer.

If a seven-sided shape was offered instead, children would need to think again.

The series could then be seen as a symmetrical pattern:

This counts down from 8 to 6, then counts back up again. That would also be a logical progression.

Why This Question Type Is Difficult

Numbers and shapes questions can be one of the harder forms of complete the series questions.

Children may look for movement, rotation or shading changes and miss the fact that the important feature is the number of sides.

This is why regular revision is useful. The more children practise, the more likely they are to remember that counting can be part of a Non-Verbal Reasoning pattern.

Common Mistakes to Watch For

Children may lose marks on these questions because they do not think to count the features in the shapes.

Common mistakes include:

• Only looking for rotation or movement
• Forgetting to count sides or corners
• Assuming the final box must always continue the first pattern
• Missing a symmetrical number pattern
• Choosing an answer too quickly without checking all options

A calm step-by-step method is usually more useful than guessing. Accuracy should come before speed during early 11 Plus revision.

11 Plus Practice Quizzes for Complete the Series

This free guide explains the method, but practice helps children become more familiar with the format.

Education Quizzes has seven Complete the Series quizzes that help children apply this kind of progression thinking.

Next Steps for Parents

This guide has shown how number patterns can be hidden inside shape sequences. It is worth reading the remaining free progression guides before moving fully into quiz practice, because they explain other ways these questions can be created.

The more children practise, the more familiar they become with 11 Plus Non-Verbal Reasoning formats. Over time, this helps them recognise patterns more quickly and approach the exam with greater confidence.