AI Tutor - Lucy
.jpg)
NVR Progression - Fill in the Blank in a 3 x 3 Grid (2)
This free 11 Plus Non-Verbal Reasoning guide gives a second example of a 3x3 matrix question, where children have to fill in the blank square in a nine-square grid.
In the previous guide, we introduced 3x3 grids and showed how children can solve them by comparing rows, columns and individual features. This guide focuses on reflection, where shapes are flipped horizontally or vertically.
This guide is designed for parents helping children revise for the 11 Plus, especially when larger matrix questions look complicated but are built from simple visual rules.
This 11 Plus guide is free to read and use. It is part of our free 11 Plus Non-Verbal Reasoning exam illustrations, created to help parents understand the question types children may meet.
Please note that the guide is free, while playing the linked 11 Plus quizzes for regular practice requires a subscription.
What Is This 3x3 Matrix Question Testing?
A 3x3 matrix is a grid made from nine squares. In this type of question, eight squares contain shapes or symbols, and one square is blank.
Children must choose the answer that completes the grid in the most logical way.
This example tests whether children can spot reflection. A shape may be flipped from top to bottom or from left to right, while still keeping the same basic design.
How Are These Questions Shown in the 11 Plus Exam?
Candidates are shown a nine-square grid with one empty square.
They are also given several possible answers. One answer belongs in the blank square and completes the pattern.
Children need to decide whether the pattern is working by rows, columns or diagonals, then apply the same rule to the missing square.
Example:
Pick one of the five boxes on the right to fit in the blank box in the diagram on the left.
3.jpg "11 Plus Fill in the Blank in a 3x3 Grid 2")
Start by Choosing Rows, Columns or Diagonals
The first step is to work out which part of the grid gives the clearest pattern.
In this example, the rows are the best route to the answer. The middle and bottom rows are made from similar types of shapes, but those shapes are different from the shapes in the top row.
That tells us the missing answer should be similar to the top-left and top-right shapes.
Parent explanation: Encourage your child to ask, “Should I compare rows, columns or diagonals?” Choosing the right comparison early can save a lot of time.
Look for the Features That Change
Once children know they are using rows, they should look at how the symbols change as they move across each row.
In this example, several features matter:
- The direction of the arrow
- The position of the line
- The direction of the shading
At first, these features can appear confusing because not every clue gives an easy answer immediately.
If one line of reasoning leads to a dead end, children should stay calm and look for another kind of change.
The Key Rule: Reflection
The important rule in this example is reflection.
Children can imagine the first image in a row as the starting shape.
If that image is reflected in a horizontal axis, it flips from top to bottom and creates the second image.
If the original image is reflected in a vertical axis, it flips from left to right and creates the third image.
Technique tip: A horizontal reflection flips a shape over from top to bottom. A vertical reflection flips a shape across from left to right. Children often understand this better if they imagine a mirror line.
How the Answer Is Found
To complete the top row, the missing answer must follow the same reflection rule.
The arrow should flip so that it points upwards.
The line should flip to the bottom of the box.
The shading should also flip so that it faces the opposite way.
These features lead to answer A.
Although there are several tricky details in the question, the basic rule is simple: reflect the objects.
Why Reflection Questions Can Feel Difficult
Reflection questions can be difficult because several things may change at once.
A child might notice the arrow but miss the shading. Another child might spot the line position but forget to check the direction of the shape.
This is why a systematic method is important. Children should check each feature before choosing the answer.
Common Mistakes to Watch For
Children may lose marks on 3x3 matrix questions because they follow one clue but ignore another.
Common mistakes include:
- Using columns when rows give the clearest pattern
- Confusing horizontal and vertical reflection
- Missing the direction of shading
- Checking the arrow but not the line position
- Choosing an answer before comparing all important features
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 completes the Matrices section, but practice helps children become more familiar with both 2x2 and 3x3 matrix questions.
Education Quizzes has eight Matrices quizzes in the 11 Plus Non-Verbal Reasoning section. The first seven focus mainly on 2x2 grids, while the eighth focuses on 3x3 grids.
Next Steps for Parents
This guide completes the Matrices section of the 11 Plus Non-Verbal Reasoning exam illustrations.
Children have now seen how 2x2 and 3x3 matrix questions can work, including shape changes, rows and columns, size, position, reflection and elimination.
The next Non-Verbal Reasoning guides move on to relationships between symbols. These questions use many of the same visual reasoning skills, so the matrix practice here will still be useful.
Remember: This 11 Plus guide is free to use. The linked quizzes are available by subscription and provide the regular practice children need to apply the method confidently.
© Copyright 2016-2026 - Education Quizzes
Work Innovate Ltd - Design | Development |
Marketing
