How to Solve Raven's Progressive Matrices: 6 Fundamental Rules
Raven's Progressive Matrices are universally recognized as the gold standard for measuring non-verbal fluid intelligence (Gf). This guide reveals the core mathematical and geometric rules that power every matrix puzzle.
⚡ 6 Core Logic Patterns Found in 95% of Matrix Tests:
- 1. Spatial Rotation
- 2. Logical Superposition & Cancellation (XOR)
- 3. Latin Square & Feature Permutation
- 4. Spatial Translation (Corner Stepping)
- 5. Latin Square Permutation (3×3 Sudoku)
- 6. Axial & Mirror Symmetry
Spatial Rotation
The most common pattern across easy and medium matrices. An element in a row or column turns by a fixed angle (typically 45°, 90°, or 180°) in a consistent clockwise or counter-clockwise direction.
💡 Recognition tip: Look for shapes whose overall size and structure remain identical, while directional pointers or hatch lines rotate.
Logical Superposition & Cancellation (XOR)
The hallmark of Mensa-level questions. The third shape in a sequence is generated by overlaying the first two using the boolean Exclusive OR (XOR) logic: lines shared by both figures disappear, while unique lines persist.
💡 Tip: If the third figure appears simpler or has fewer segments than the first two, subtractive cancellation is almost certainly taking place.
Latin Square & Feature Permutation
In a 3×3 matrix, each distinct trait occurs exactly once per row and once per column (similar to Sudoku). For example: 3 distinct outer shapes (circle, square, triangle) and 3 fill styles (solid, striped, empty).
If a row already contains a Circle and a Square, the third shape must be a Triangle. If two shapes already have stripes and blank fill, the missing shape must have solid fill.
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