NVR Progression - Fill in the Blank (4)

What Is a Logic-Based Progression Question?

In some 11 Plus Non-Verbal Reasoning questions, the pattern is not as simple as a shape rotating, moving or changing by a fixed amount.

Instead, children may need to compare two or more features at the same time. One feature may help explain the next feature in the series.

These questions can feel difficult because the answer is not always immediately obvious. The key is to slow down, describe the variables and look for a relationship between them.

How Are These Questions Shown in the 11 Plus Exam?

These questions are shown in the same way as other complete the series questions.

Candidates are given a row of boxes. One box is blank. They are then given several possible answers, and they must choose the one that completes the series in the most logical way.

The difference is that the rule behind the series is more hidden. Children need to notice what changes and what stays the same.

Start with What Stays the Same

When a question looks confusing, children should start by asking: what stays the same?

In this example, four dots remain in the corners of the box. That gives children something stable to work from.

Next, they should ask: what changes?

The changing features are the extra circle and the line coming from the centre of the box.

Technique Tip: Name the Variables

A useful technique is to describe the variables in words. In this example, there are two important variables:

• The position of the extra circle
• The direction of the line from the centre

Once children have named the variables, they can compare how those features behave from one box to the next.

For explanation purposes, the pattern can be shown like this:

In a timed test, children would not draw a full table. The table is simply a parent explanation to show the logic behind the answer.

How the Logic Works

The line and the extra circle do not simply move clockwise or anti-clockwise.

Instead, the direction of the line appears to indicate the position of the extra circle in the next box.

In box four, the line points to the top left. That means the extra circle in the missing fifth box should be in the top left corner.

This is the main clue. Once children know that the extra circle must be in the top left, they can begin eliminating answers that do not fit.

Use Elimination to Narrow the Options

Children can now cross out any option where the extra circle is not in the correct position.

In this example, answers B and C can be ruled out because the extra circle does not match what the logic suggests.

After that, children should compare the remaining options carefully. The difference between them is the line.

Answer D can be ruled out because the line does not point to a corner, unlike the other examples in the series.

Answer E can be ruled out because the line does not begin in the centre of the box.

That leaves answer A as the most logical choice.

Why This Question Type Is Difficult

This type of complete the series question is challenging because it uses a relationship between two changing features.

Children may focus only on the circle, or only on the line, and miss the connection between them.

They may also expect a simple movement pattern, such as clockwise or anti-clockwise, when the real pattern is based on one feature predicting the next.

Regular revision helps children become more flexible. The more question types they practise, the more likely they are to look for different kinds of logic.

Common Mistakes to Watch For

Children may lose marks on logic-based progression questions because they stop at the first pattern they notice.

Common mistakes include:

• Looking only for rotation or movement
• Not separating fixed features from changing features
• Missing the connection between the line and the next circle
• Choosing an answer that matches one clue but breaks another
• Forgetting to use elimination when the answer is not obvious

A calm, flexible 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 logic can be used in progression questions when the pattern is not immediately obvious. There is one more free progression guide in this section, which explains another method examiners may use.

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.