Brain & IQ

Raven Matrices Practice: Learn the Rules Behind the Puzzles

By Brain & IQ editorial team · Updated

Three by three grid of abstract shapes with one empty square waiting to be filled

Open any serious IQ test and the bulk of it will be the same thing: a grid of shapes with one square missing. This format, introduced by the psychologist John C. Raven in 1936, has survived because it does something rare. It measures reasoning without needing words, and it keeps its difficulty curve even when a person has seen it before. The good news for anyone who wants to score higher is that matrices are among the most trainable kinds of puzzle there are. Once you know what the rules look like, items that once felt like a coin toss start to feel like a lock with a key.

How a matrix is built

You see nine cells arranged three by three. Eight are filled and the last, in the bottom right corner, is blank. Below the grid are options, six in the format used by Cognivo IQ Test, labeled A to F. One of them completes the pattern. The others are decoys, and they are designed: each wrong option usually breaks a rule in a way that tempts you.

The pattern is controlled by rules that run across the rows (left to right) and sometimes down the columns. You do not need to understand the whole picture at once. You need to identify what changes from one cell to the next and then apply the same change to the last row.

The five rule families

Nearly every matrix, from the easy openers to the toughest closers, is a mix of a small number of ideas. Learn these and you can describe any puzzle in a sentence.

1. Constant in a row. The same shape appears across the row, and what varies is something else, such as color. Look for what stays the same first; it removes half the noise.

2. Progression. A feature increases step by step across the row: one dot, two dots, three dots, or a shape that gets larger. The missing cell must continue the progression.

3. Addition and subtraction. The third cell in a row is the first one combined with the second, or the second removed from the first. Overlapping lines or shapes that add and cancel are the giveaway.

4. Rotation and reflection. A shape turns by a fixed amount, usually 45 or 90 degrees, or flips. Track one distinctive corner or edge and watch where it goes.

5. Distribution of three. Three different shapes (or three fill patterns) each appear once in every row and every column, like a small sudoku. Find the one that has not yet appeared in the last row.

Hard items stack two or three of these at once. A row might rotate a shape while a second element increases in number and the fill pattern follows a distribution of three. The trick is to peel the rules apart and solve them one at a time.

A worked example, in words

Imagine the first row shows a small square, a medium square and a large square, all solid. The second row shows a small circle, a medium circle and a large circle, all striped. The third row starts with a small triangle, then a medium triangle. What is the missing cell?

Step one: what is constant in a row? The shape. Row one is squares, row two is circles, row three is triangles, so the answer is a triangle. Step two: what progresses? Size, small then medium then large, so the answer is a large triangle. Step three: what about the fill? Row one is solid and row two is striped, so row three should follow the pattern of the next fill in the set, which is dotted or white depending on how the puzzle defines its three fills. Check the options: only one is a large triangle with the right fill. The other options might be a large triangle with the wrong fill, or a medium triangle with the right fill, which is exactly how decoys work.

That took four steps, and it is what skilled solvers do in under a minute without noticing.

The most common traps

A 15-minute daily routine

Consistency beats volume. Try this for three weeks.

  1. Minutes 0 to 3, warm-up. Do two easy matrices at full speed to get into the groove.
  2. Minutes 3 to 10, deliberate practice. Solve three or four medium items. For each, say the rules out loud before choosing, even if you are alone: "shape constant, size increases, fill in threes." The act of naming rules is what makes them stick.
  3. Minutes 10 to 13, review errors. For any item you got wrong, find which rule you missed. Keep a short list of the rule types that fool you most.
  4. Minutes 13 to 15, one stretch item. Try something above your level and just see how the rules stack. You are not meant to solve it, only to see its structure.

Most people notice that after about ten days, the question changes from "what is going on here?" to "which of the five families is this?" That shift is the improvement, and it shows up on a retest.

Where practice meets a real test

A full test gives you something practice sets cannot: pressure, mixed difficulty and an actual score. Cognivo IQ Test has 40 questions, of which 25 are Raven-style matrices with six options. They sit between number series, logic questions and short memory tasks, and the difficulty rises through the test. After the last question you see your result and a breakdown by answer, so you can tell whether the harder matrices cost you points or the memory items did.

A good rhythm is: take the test, practice the rule families for three weeks, and retest. The first sitting becomes your baseline and the second shows what training did. Access begins with a 7-day trial for $1.00, then renews every 28 days until you cancel; the renewal amount is shown at checkout before you pay.

Putting it in context

Matrix practice is the most effective single thing for lifting an online score, but it is a narrow skill. It makes you better at matrices, and matrices correlate with general reasoning, which is why test makers love them. Combine this routine with the habits in our guide to raising your IQ, such as sleep and exercise, and you will be working on both the format and the engine under it. If you are an adult coming back to puzzles after years, the guide to IQ tests for adults covers what to expect and how to pace yourself.

Start with five minutes tonight. Look at the next grid you see and, before you look at the options, say what changes across the first row. If you can do that, the rest is repetition.

Frequently asked questions

What is a Raven's matrix?

A three by three grid of shapes with the bottom-right cell missing. You find the rule that links the rows and columns and pick the option that completes it.

Can you improve at matrix puzzles?

Yes. People improve quickly once they learn the common rule types and stop guessing, usually within a few weeks of short daily practice.

How long should I spend on one matrix?

Aim for 30 to 60 seconds on early items and up to two minutes on the hardest. If nothing appears after that, eliminate options and move on.

Do matrix tests depend on language?

Barely. That is why they are used widely across countries: the puzzles use shapes, not words.