NVR Progression - Fill in the Blank in a 3 x 3 Grid (1)

What Is a 3x3 Matrix Question?

A 3x3 matrix is a grid made from nine squares. Eight of the squares contain shapes or patterns, and one square is blank.

Children have to work out which answer belongs in the blank square by comparing the shapes across the grid.

One useful way to think about these questions is as visual logic puzzles. Each row and column may need the same mix of shapes, sizes, positions or patterns.

How Are These Questions Shown in the 11 Plus Exam?

Candidates are shown a large square divided into nine smaller squares. One of the smaller squares is empty.

They are also given four or five possible answers. One of these answers should complete the grid in the most logical way.

The challenge is to decide which features matter. Children may need to look at size, position, shape, shading, movement, rotation or the number of symbols.

Start with the Main Shapes

When a 3x3 grid looks busy, children should avoid trying to solve everything at once.

In this example, there are circles in the boxes. Each row and column appears to contain a small, medium and large circle.

The missing circle in the bottom row must therefore be a small circle. This allows answer E to be ruled out.

Check the Position of the Circles

After checking circle size, children should look at circle position.

The large circles are always central. The medium and small circles appear in the top, middle or bottom of the box.

In the example, the missing small circle should be positioned at the bottom of the blank box. This means answer D can be ruled out.

By narrowing the options one feature at a time, the question becomes less overwhelming.

Ignore Red Herrings When Needed

Some features may be included to distract children.

In this example, the dot-shaded triangles are not the best route to the answer because they only run on the diagonal.

This does not mean children should ignore diagonals in every question. It simply means they should decide whether a feature is genuinely useful for the missing square.

Look for One of Each Shape

Another useful method in 3x3 matrices is to check whether each row or column needs one of each type of shape.

In this example, there appears to be one square in each row or column. There is already a square behind the circle in the bottom centre box, so the missing box does not need another square.

This allows answer B to be ruled out.

At this stage, the remaining options are A and C.

Use the Final Difference to Choose the Answer

When only two answers remain, children should compare what is different between them.

In this example, the difference is the position of the diamond.

The top row has a diamond at the bottom. The middle row has a diamond in the middle. To complete the progression, the bottom row should have a diamond at the top.

This leads to answer A.

Why 3x3 Matrices Can Feel Difficult

3x3 matrices can feel harder than 2x2 matrices because there is more information to process.

Children may need to consider rows, columns and diagonals. They may also need to track several different shapes at once.

The best approach is to stay systematic: choose one feature, follow it through the grid, eliminate answers, then move to the next feature.

Common Mistakes to Watch For

Children may lose marks on 3x3 matrix questions because they jump too quickly to an answer.

Common mistakes include:

• Trying to solve the whole grid at once
• Missing that each row or column may need one of each shape
• Ignoring size differences
• Ignoring position changes
• Being distracted by a red herring feature
• Not comparing the final two answer choices carefully

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

11 Plus Practice Quizzes for Matrices

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

Education Quizzes has one quiz focused on 3x3-style matrix practice:

There are also seven 2x2 Matrices quizzes. These are useful preparation because they build the same pattern-spotting skills:

Next Steps for Parents

This guide has introduced 3x3 matrix questions and shown how children can work through a larger grid by following one feature at a time.

The next guide continues with 3x3 matrices and explains a few more ways these questions can work. Reading that guide before quiz practice may help children feel more confident.