Nonverbal Reasoning: Matrices, Paper Folding, and Classification
The Nonverbal Reasoning battery measures reasoning with shapes and figures, with no reading and almost no numbers. It is often the strongest single indicator of spatial ability and is the least affected by a student's language background or by direct classroom instruction. Form 7/8 uses Figure Matrices, Paper Folding, and Figure Classification.
Figure Matrices
A 2×2 or 3×3 grid with one cell empty. Read across each row and down each column: each line follows the same rule. Track one attribute at a time - shape, number of elements, size, fill/shading, orientation, position.
Paper Folding
A sheet is folded, holes are punched, then it is unfolded; choose the hole pattern. Each fold doubles the layers, so n folds give 2ⁿ layers and one punch can produce up to 2ⁿ holes. Holes are mirror images across each crease. Work backwards: undo the last fold first.
Figure Classification
Three figures share a rule; pick the fourth that shares it. The rule is structural - number of sides, symmetry, open versus closed, number of intersections - never color or shading alone.
Worked example
A square sheet is folded in half left-to-right, then in half top-to-bottom, and a single hole is punched through all layers at a point away from every crease. Unfolded, the sheet shows 4 holes: the punched point, its mirror image across the vertical crease, its mirror across the horizontal crease, and the reflection across both. If the punch is made exactly on one crease, two of those images coincide and only 2 holes appear; at the point where the two creases cross, all four coincide into 1 hole.
Traps
- Choosing an option that fixes the row but breaks the column.
- Doubling the hole count once instead of once per fold.
- Assuming holes stay in the quadrant where the punch was made.
- Picking a classification answer that matches surface appearance (all shaded) rather than the structural rule.
- Confusing rotation with reflection: a reflected figure cannot be turned to match the original.