Train Your Cognitive Abilities - Free Practice Drills by Domain
Improve your deductive speed, mental rotation, and logical reasoning. Choose between untimed practice drills with instant step-by-step solutions or full 15-minute standardized category assessments.
Specialized Domain Drills
Focus your practice on a specific cognitive ability area.
Matrix & Pattern Induction
Master 2x2 and 3x3 matrix pattern rules, Latin square permutations, topological progression series, and Boolean XOR feature cancellation. Completely non-verbal and culture-reduced.
3D Cube Rotation & Folding Nets
Train mental rotation across 3D axes, mentally fold 2D flat nets into 6-sided cubes, and deduce orthographic projections. Essential for engineering and spatial reasoning.
Number Series & Arithmetic Logic
Solve second-order difference sequences, interleaved alternating progressions, and multi-step relational rate puzzles. Pure deductive math logic without requiring advanced calculus.
Analogies & Deductive Syllogisms
Sharpen your verbal concept formation with relational analogies (A : B :: C : ?), formal Aristotelian syllogisms, and categorical inclusion logic.
Ready for a Certified Composite Score?
While domain practice drills isolate specific abilities, clinical IQ scores require composite sampling across all four CHC factors to compute an accurate general factor (g) estimate.
Quick 10-Min Screening
12 questions (3 from each of the 4 domains). Fast, streamlined assessment providing an immediate provisional IQ score and percentile ranking.
Full 20-Min Comprehensive Assessment
24 questions (6 per domain). High psychometric precision, 95% posterior credible interval, downloadable high-res certificate, and full review accordion.
Cognitive Problem-Solving Masterclass
Master the formal principles that cognitive scientists and psychometricians use to construct high-difficulty test items.
Carpenter's 5 Matrix Rules
In their 1990 Cognitive Psychology paper, Carpenter, Just, and Shell identified 5 universal transformation rules across matrix puzzles:
- • Constant in row: Shape remains invariant horizontally.
- • Quantitative progression: Dot count increases (+1, +2).
- • Distribution of 3 values: Latin square permutation.
- • Distribution of 2 values: XOR cancellation of overlapping segments.
- • Movement & rotation: Clockwise 45 or 90 degree step progression.
Mentally Unrolling 3D Cube Nets
To quickly eliminate incorrect 3D cube projections without getting disoriented:
- • Opposite Face Invariance: Faces separated by one square in the net will be opposite in the 3D cube. If you see both in an option, eliminate it instantly.
- • T-Junction Vertex Rule: The corners meeting at a 3-way seam will touch in the assembled solid.
- • Chirality & Handedness: Check whether arrows or diagonal lines spiral clockwise or counter-clockwise relative to their neighbor.
Diagramming Formal Syllogisms
Formal Aristotelian logic requires deriving conclusions with 100% deductive necessity:
- • Universal Affirmative: "All A are B" means the set of A is completely enclosed within set B.
- • Particular Affirmative: "Some A are B" means the intersection of set A and B is non-empty.
- • The Negative Premise Rule: If one premise is negative, a valid conclusion must also be negative. Two negative premises yield no valid syllogistic deduction.
Frequently Asked Questions: Practice & Training
Everything you need to know about cognitive drills, transformation rules, and scoring transfer.
What is the difference between timed tests and untimed practice drills?
Timed assessments simulate standardized test environments under 15-minute limits to benchmark performance speed. Untimed practice drills provide immediate solution explanations after each question so you can study the underlying transformation rules at your own pace.
What are Carpenter's 5 rules for matrix reasoning?
Carpenter, Just, and Shell (1990) identified 5 primary transformation algorithms in progressive matrices: constant in a row, quantitative progression, distribution of three values, distribution of two values (XOR cancellation), and rotational movement.
Can practicing cognitive drills improve my official IQ score?
Practice improves test familiarity, reduces anxiety, and builds pattern-recognition schemas for transformation rules. While innate fluid ability has high genetic heritability, eliminating procedural mistakes and distractor traps often yields a 5 to 10 point gain in measured test performance.
Do high-IQ societies test these same question types?
Yes. High-IQ societies like Mensa, Intertel, and Triple Nine utilize standardized batteries (such as the WAIS-IV, Stanford-Binet, Cattell Culture Fair, and Raven's APM) that heavily feature matrix induction, mental rotation, numerical series, and verbal analogies.