In this module, you will learn how to solve grids. Grids are a way to test logical reasoning. A grid usually consists of a 3-by-3 grid of squares, for a total of 9 squares. Each square contains a shape that is part of an underlying pattern. By recognizing and analyzing this pattern, you can determine which shape is missing and thus solve the grid.
Free practice test
Practice Grids for free
Grids - 1
10 questions · 8 min
Click the button below to start the test. The timer starts immediately after.
What is a matrices test?
A matrix is a grid of shapes, usually 3×3, with one cell missing. The shapes follow rules across rows and down columns. You pick the shape that fits both. Matrices are a classic form of abstract reasoning, used for example in Assessio's Matrigma test.
Because you have to look in two directions at once, matrices feel harder than figure sequences at first. With a fixed approach they become predictable.
Also called matrix reasoning, progressive matrices, grid test or Matrigma.
How to solve a matrix
- Look at the rows first: what changes from left to right? Then check the columns.
- Common rules: each shape appears once per row, the number of elements increases, or shape 3 is shape 1 plus shape 2.
- Watch for 'add and cancel': lines that appear in both shape 1 and 2 disappear in shape 3, lines in only one of them remain.
- Work out the answer before looking at the options. Options are often designed to look almost right.
Worked examples
Every row contains a circle, a square and a triangle in a different order. The bottom row shows a triangle and a circle. What is missing?
Show answer
A square
Each shape appears exactly once per row.
The first column shows 1, 2 and 3 dots from top to bottom. The second column shows 2, 3 and ? dots.
Show answer
4 dots
Going down, each cell adds one dot.
Shape 1 has a horizontal and a vertical line, shape 2 a vertical and a diagonal line. Shape 3 = shape 1 plus shape 2, with shared lines cancelling out. What is shape 3?
Show answer
A horizontal and a diagonal line
The vertical line is in both shapes, so it cancels out.
Practise more with the practice pack
7 practice sets with 80 questions in total, each with an explanation. From €4.99 for 1 day, paid once.
Frequently asked questions
What is the Matrigma test?
Matrigma is a matrix reasoning test by Assessio. You get a series of 3×3 grids and find the missing shape each time. The questions get harder as the test goes on.
How should I practise matrices?
Practise the fixed rules (per row, per column, adding, cancelling, count) until you recognise them straight away. Then practise against the clock, because speed is the limiting factor in most tests.
Can I practise matrices for free?
Yes, on this page you practise matrix questions for free, with an explanation for every answer. You don't need an account. The practice pack adds more questions and a full mock test.