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Articles·2026-06-29 / Updated: 2026-09-04

What Is Fluid Reasoning (Gf / FRI)?

Fluid reasoning is the ability to find relationships and rules in an unfamiliar problem and construct a solution. Differences appear most clearly when there is no learned procedure to apply.

Table of contents
  1. 01Fluid reasoning builds a solution to an unfamiliar problem
  2. 02Situations in which higher or lower Gf tends to appear
  3. 03Matrix Reasoning and Figure Weights strongly reflect fluid reasoning in WAIS
  4. 04The difference between fluid and crystallized intelligence
  5. 05Measure your IQ and see your cognitive profile with BrainTypeIQ

Fluid reasoning builds a solution to an unfamiliar problem

The core of fluid reasoning is not the amount of knowledge or calculation speed, but finding relationships and rules in an unfamiliar problem and working out how to solve it. “Fluid reasoning” and “fluid intelligence” both refer to Gf.

It includes finding a common rule across examples, following the consequences of given conditions, and deriving an unknown value from ratios or equivalences. These processes are called inductive, deductive, and quantitative reasoning and can operate with figures, words, or numbers.

Situations in which higher or lower Gf tends to appear

Problem situationWhen Gf is higherWhen Gf is lower
Implicit rulesA common rule can be found from a few examplesMore trial and error is needed when the rule is not stated
Several relationshipsShape, number, and position can be combined into one solutionOne element may be overlooked when several relationships interact
Testing a hypothesisCandidate rules are checked against the examples and rejected when they failA salient feature may be chosen without checking every example
Changed conditionsA solution can be rebuilt from the new conditionsA previous method may continue to be applied after the rule changes
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Matrix Reasoning and Figure Weights strongly reflect fluid reasoning in WAIS

In WAIS-IV, Matrix Reasoning is a core subtest and Figure Weights is supplemental within the Perceptual Reasoning Index. Both place strong demands on fluid reasoning.

SubtestMain reasoning demand
Matrix ReasoningInductively find a rule from the arrangement or change of figures
Figure WeightsDerive an unknown quantitative relationship from balance and equivalence
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WAIS-IV combines fluid reasoning with visuospatial processing in PRI. WAIS-5 calculates a separate Fluid Reasoning Index from Matrix Reasoning and Figure Weights, allowing it to be read separately from the Visual Spatial Index. How WAIS-IV and WAIS-5 differ explains the edition change. How to interpret a low WAIS-IV PRI shows how its subtests can be read as Gf- and Gv-heavy tasks.

The difference between fluid and crystallized intelligence

The difference between fluid intelligence (Gf) and crystallized intelligence (Gc) is whether the answer is constructed from a new relationship or mainly uses knowledge already acquired.

DomainMain resourceExample
Gf: fluid intelligenceRelationships and rules found in the momentDerive the rule in an unfamiliar sequence of figures
Gc: crystallized intelligenceAcquired vocabulary, knowledge, and conceptsUse specialist terms and background knowledge to understand a text
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In a new field, Gf helps identify unfamiliar relationships. What is learned then accumulates as Gc and supports later reasoning. On average, Gf shows age-related decline earlier than Gc; intelligence and aging explains the difference.

BrainTypeIQ calculates Gf from Matrix Reasoning and Figure Weights, so you can view it alongside Gc, Gv, Gwm, and Gs.

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