Matrix questions are one of the most common families in GL Assessment Non-Verbal Reasoning, and once your child knows the routine they become some of the most reliable marks in the paper. A matrix shows a grid of shapes, usually two-by-two or three-by-three, with one cell left blank. Your job is to work out the rule that governs the grid and choose, from five options, the shape that belongs in the empty cell. The secret is that a matrix is never random: it is built from a rule that runs across each row and, separately, a rule that runs down each column. Read both directions deliberately and the answer almost chooses itself. This guide gives you a step-by-step method that works every time, plus worked examples, a scanning checklist and the common traps that cost easy marks.
What a matrix question actually asks
In GL papers a matrix is presented as a grid with a question mark or empty box in one position. The five answer options sit alongside or beneath it. Because GL is multiple-choice with a separate answer sheet, you are not drawing anything: you are matching the rule you have found to the single option that fits. Matrices sit in the same NVR family as series and sequences, analogies, rotations and reflections, so the visual attributes you scan are identical. The difference is that a matrix asks you to hold two rules in your head at once: one horizontal and one vertical.
The elements changing between cells are almost always drawn from a small, predictable list. Learning that list turns guessing into a checklist you can run in seconds.
The visual attributes to scan every time
Before hunting for a clever rule, do a fast inventory of what could be changing. Nearly every matrix rule is built from one or two of these attributes changing in a fixed way:
- Number of elements - dots, lines or shapes increasing or decreasing by a set amount.
- Shading or fill - black, white, striped, dotted; often alternating or rotating.
- Size - shapes growing or shrinking across a row or down a column.
- Orientation - a shape rotating by 90, 180 or 270 degrees between cells.
- Position - an item moving to a different corner or edge in a repeating cycle.
- Number of sides - triangle to square to pentagon as you move along.
- Line thickness or style - thin to thick, solid to dashed.
- Symmetry and added or missing lines - a line, arrow or extra shape appearing on a schedule.
Teach your child to name what they see out loud at home: "colour, count, size, turn". That four-word chant covers the vast majority of matrix rules.
The step-by-step method for solving any matrix
Use the same five-step routine on every matrix so it becomes automatic under time pressure.
- Read across the top row first. Ask: what changes from the first cell to the second, and then to the third? Name the row-rule in words - for example "the shape gains one side each step" or "the fill goes black, grey, white".
- Read down the first column. Independently work out the column-rule. It is often a different attribute from the row-rule, such as the shape rotating 90 degrees clockwise as you move down.
- Apply the row-rule to the row containing the gap. Predict what the missing cell should contain based on the horizontal pattern alone.
- Cross-check with the column-rule. Confirm your prediction also satisfies the vertical pattern. When both rules agree, you have the answer.
- Match to an option and eliminate. Find the single option that fits both rules; use the distractors to confirm, since GL deliberately includes near-misses that satisfy only one rule.
A worked three-by-three example
Imagine a three-by-three grid. Along the top row you see a small black circle, a medium black circle, then a large black circle - so the row-rule is "size increases left to right". Down the first column you see a small black circle, a small grey circle, then a small white circle - so the column-rule is "fill lightens top to bottom". The missing cell is the bottom-right corner.
Apply the rules. The bottom-right cell is in the third row (largest size, because size increases across every row) and the third column (white fill, because fill lightens down every column). So the answer must be a large white circle. If the options include a large black circle and a small white circle, those are traps that each satisfy only one of the two rules. Only the large white circle satisfies both. Naming the two rules separately is exactly what stops your child falling for the single-rule distractors.
| Direction | Rule found | Effect on missing cell |
|---|---|---|
| Across the row | Size increases | Must be large |
| Down the column | Fill lightens | Must be white |
| Both combined | Large + white | Large white circle |
Common traps and how to avoid them
Most lost marks on matrices come from a handful of predictable mistakes. Warn your child about these in advance:
- Spotting only one rule. A child who finds the row-rule but never checks the column-rule will pick a distractor that matches horizontally but fails vertically. Always confirm both directions.
- Missing a simultaneous change. Some matrices change two attributes at once - for instance the shape both rotates and changes colour. If your prediction feels "almost right", check whether a second thing is also shifting.
- Confusing rotation with reflection. A rotated shape keeps the same "handedness"; a reflected shape is a mirror image. If an arrow points the wrong way, ask whether it turned or flipped. Our pattern-spotting guide drills this distinction.
- Overthinking. If you cannot name a rule in about ten seconds, the pattern is probably simpler than you think - recheck count and fill before inventing something elaborate.
Timing and pacing for the real paper
GL NVR papers are tightly timed, typically running around 50 minutes with a separate answer sheet. Across a full paper that works out at roughly 35 to 50 seconds per question, so matrices need a brisk, confident routine rather than a leisurely one. Use a skip-and-return strategy: if a matrix has not yielded after about 45 seconds, mark your best-elimination answer, flag it and move on, then return if time allows. Never leave a multiple-choice question blank - an eliminated guess is better than an empty box.
| Paper feature | Typical figure |
|---|---|
| Paper length | ~50 minutes |
| Time per question | ~35-50 seconds |
| Answer method | Multiple-choice, separate sheet |
| Pacing tactic | Skip and return, never leave blank |
Practise with a timer from Year 5 so pacing becomes instinct. Our free timed mocks and centre-style mock days recreate this pressure realistically.
How matrices affect the Standardised Age Score
GL results are reported as a Standardised Age Score (SAS), usually on a scale of roughly 70 to 140 where 100 is average. Crucially, the score is adjusted for your child's exact age in months, so a summer-born child is not disadvantaged against an older classmate sitting the same paper. Matrices reward accuracy and speed together: getting the harder two-rule matrices right lifts the raw score, which in turn raises the standardised score. Because every region and school sets its own qualifying threshold, we never quote a fixed pass mark - but scoring literacy helps parents see why nailing reliable question types like matrices matters so much.
Try it yourself with free practice
The fastest way to improve is little-and-often practice with worked solutions, not just answer keys. Download our free NVR worksheets, work through the revision hub for step diagrams, and check the exam dates so you can build a sensible timeline. Parents can mark at home by asking their child to explain the row-rule and column-rule in words - if they can name both, they have truly understood the matrix rather than guessed it.
Frequently asked questions
How do I read a matrix question?
Read across the row to find one rule and down the column to find a second, separate rule. The missing cell must satisfy both rules at once, so predict from the row, confirm with the column, then match the single option that fits both.
Why do matrices have two rules?
A grid is organised in rows and columns, and GL usually assigns a different changing attribute to each direction - for example size across and fill down. Checking only one direction is the most common cause of wrong answers on matrices.
How long should a matrix take?
Aim for roughly 35 to 50 seconds, matching the overall pace of a 50-minute GL paper. If you cannot name a rule quickly, mark your best-elimination answer, flag it and return later rather than losing time.