Free Inductive Figure Series Test

What the inductive figure series test measures

Inductive reasoning is the act of looking at a handful of specific cases and working out the general rule that produced them. It is the mental move behind noticing that a machine only jams on Mondays, that a colleague's estimates are always a third too low, or that a piece of code fails whenever the input is empty. A figure series is the cleanest possible laboratory for that skill: you are handed five instances of a rule and nothing else, and you have to recover the rule well enough to produce the sixth instance yourself. There is no vocabulary to know, no arithmetic to perform and no general knowledge to recall, which is exactly why this format survives translation into every language and is used almost unchanged in graduate selection tests across Europe and Asia.

How the sequences are constructed

Every item on this page is generated from one explicit rule expressed in code, not sketched by hand. A rule assigns a value to each of five attributes at every position in the series: which shape appears, how many copies of it there are, how it is shaded, how far it has been rotated, and how large it is. A simple item lets four of those attributes sit still and moves one of them: an arrow turns forty-five degrees at each step, or a set of circles grows by one member, or a triangle cycles through solid, half and empty shading. A hard item moves two or three attributes at once, so you have to hold several independent progressions in mind while you check each candidate answer.

The four wrong options are not random figures. Each one is the correct sixth figure with a single attribute pushed off the rule — the right rotation but one shape too many, the right count but the wrong shading, or simply a repeat of the fifth figure for people who spotted that something changes but not what. Because each distractor breaks the rule in exactly one identifiable way, there is always precisely one option that continues the series, and a reader who has genuinely found the rule can defend their choice against every alternative. The position of the correct answer is deliberately spread across all five slots, so there is no lazy positional habit to exploit.

The four rule families you will meet

Rotation. An asymmetric figure turns by a constant angle each step, clockwise or counter-clockwise. Rotation items always use a shape with no symmetry, so a ninety degree turn can never be mistaken for no turn at all. Count. The number of elements climbs or falls by one, or oscillates on a short cycle such as one, three, one, three. Shading. Fill state moves through a cycle — solid, half, empty and back to solid, or a two-state flicker between solid and empty. Size. The figure grows or shrinks by a fixed amount per step, or alternates between a large and a small version. Because the cycles have different lengths, combining a three-step shading cycle with a two-step size cycle produces a pattern that only repeats every six figures, which is what makes the last third of the test genuinely demanding.

How to read your score

Your number of correct answers is mapped onto the familiar scale where 100 is average and 15 points is one standard deviation. Treat the result as a band roughly ten points wide rather than a precise value; an eighteen item test simply cannot resolve finer than that. The table below gives the standard interpretation.

How to work through a series efficiently

Do not stare at the whole strip hoping the answer will announce itself. Compare two adjacent figures at a time and name the single difference out loud in your head — "it turned", "one more circle", "it emptied". Then check that the same difference holds between the next pair. If it does, you have the rule and you can build the sixth figure in your imagination before you even glance at the options, which is by far the fastest way to answer and the only way to avoid being pulled toward an attractive distractor. If the difference between the first pair does not repeat, you are probably looking at a cycle rather than a progression, so count how many steps pass before the first figure's state comes back.

Two practical habits raise most people's score by a couple of items. First, when an item resists you for more than a minute, mark your best guess and move on; nothing is deducted for a wrong answer, and the item you skipped may be worth less to you than the two easy ones waiting at the end. Second, check every attribute before you commit, even the boring ones. A surprising number of mistakes come from finding the rotation rule, feeling satisfied, and never noticing that the shading was also cycling.

How this differs from matrix and number series tests

A matrix test presents a three-by-three grid and asks for the missing tile, so the rules run in two directions at once and you can cross-check a row against a column. A figure series gives you a single line, which removes that safety net: if you misread one step, nothing in the item will contradict you. That makes series items feel faster but less forgiving. A number series, meanwhile, quietly rewards arithmetic fluency — spotting that a sequence is built on squares or primes is partly knowledge, not reasoning. Shapes have no such back door. If you want a rounded picture of your fluid reasoning, take this test alongside the culture fair matrix test on this site and compare the two numbers; a large gap usually says more about how you handle time pressure than about your reasoning itself.