Free Diagrammatic Reasoning Test

What a diagrammatic reasoning test actually measures

Diagrammatic reasoning is the ability to take a claim expressed in words and check it against a picture — or, just as often, to build the picture yourself and notice that the claim was sloppier than it sounded. In this test the picture is always the same kind: labelled circles that either sit inside one another, cut across one another, or stand apart. Three categories are named, four diagrams are offered, and exactly one of them describes how those categories really sit together.

That sounds simple, and the first few questions are. The difficulty comes from a habit almost everyone has: we read "dogs and cats are animals" and picture two things next to a third, without committing to whether the third one surrounds them or merely touches them. A Venn diagram will not let you be vague. Either every dog is inside the animal circle or it is not. Forcing that decision is the whole point of the exercise, and it is why psychologists treat this format as a clean probe of logical precision rather than of vocabulary or arithmetic.

The four relationships every question is built from

Only four structural relationships appear anywhere in the test, and once you can name them the questions stop feeling like a trick. Containment means one group is entirely inside another: every square is a rectangle, so the square circle sits wholly within the rectangle circle. Overlap means the two groups share some members but neither swallows the other: some doctors are women, some are not, and most women are not doctors, so the circles cross. Exclusion means the groups share nothing at all: no whole number is both even and odd, so those circles never touch. Chaining is the interesting case — three groups where A relates to B and B relates to C, but A and C have nothing in common. Some mammals live in the sea, and tigers are mammals, yet no tiger lives in the sea. A diagram that gets the first two links right and the third one wrong is the most tempting distractor in the whole test, and several questions here are built around exactly that trap.

How the questions were written

Every item was written from scratch for this page around ordinary categories: shapes, numbers, animals, days of the week, occupations. Nothing depends on specialist knowledge, so a chemist and a chef face the same puzzle. For each item one diagram is drawn from the true relationship and the other three are drawn from structurally different but plausible relationships between the same three labels. The distractors are never near-misses of position or size — they are genuinely different logical claims, which means a wrong answer tells you something specific about where your reading of the sentence slipped. Each diagram is drawn as inline vector graphics, so it stays sharp on a phone and on a large monitor, and the labels sit in the region they actually describe rather than floating in a legend.

Reading your score

Your raw total out of 16 is converted to the familiar 100-centred scale, where 15 points is one standard deviation. Because the test is short, treat the number as a band roughly ten points wide rather than a precise value.

How to get more of them right

The single most effective technique is to check every diagram with a concrete member rather than an abstract feeling. Take the option in front of you, pick a real thing — one particular tiger, the number seven, a Tuesday — and ask which regions it belongs to according to that picture. If the picture puts your example somewhere it does not belong, the option is dead and you have eliminated it in about three seconds. A second technique is to look for the region a diagram creates but the world does not: overlapping circles quietly assert that something lives in the shared sliver, so if you cannot name a single thing that would sit there, the overlap is wrong. Finally, resist the pull of symmetry. Attractive, evenly spaced three-circle diagrams are the classic wrong answer, because most real category triples are lopsided.

How this differs from other reasoning tests on TestYourIQScore

A syllogisms test asks whether a conclusion follows from premises and keeps everything in language. An abstract reasoning or matrix test strips the language out entirely and asks you to continue a visual pattern. Diagrammatic reasoning sits between them: the input is language, the answer is a picture, and the score reflects how faithfully you move between the two. Employers in consulting, engineering and data roles favour it for that reason, and it is the closest of the three to what you do when you draw a system on a whiteboard. If you score well here but poorly on verbal reasoning, your logic is sound and your reading is rushed; the reverse pattern usually means you are comfortable with words but not yet in the habit of committing them to a diagram.