Abstract and Spatial Reasoning - FRNSW Cognitive Test
Abstract and spatial reasoning in the FRNSW cognitive test assesses pattern recognition and mental manipulation rather than language or arithmetic. Items may show shape series, 3×3 matrices, rotations, reflections, paper folding, cube nets or matching a 2D view to a 3D object. The content is deliberately unfamiliar; success depends on testing one transformation at a time and tracking a single feature.
Core rules
- In a series, isolate features: position, orientation, shading, size, number of elements and border style. Ask which feature changes and by how much each step.
- Rotation preserves handedness; reflection reverses it. A rotated ‘b’ can look like a ‘q’ or ‘d’ depending on angle, but a mirror image cannot be produced by rotation alone.
- In matrices, test row rules and column rules separately. Common rules are ‘row 1 + row 2 = row 3’, ‘same shape, changing shading’, or ‘one element rotates 90°’.
- For paper folding, work backwards from the final folded state. Every unfold mirrors the hole across the fold line, so one punched hole can become two, four or more.
- On a cube net, faces separated by exactly one square are opposite. Faces that share an edge in the net share an edge on the cube.
- Use elimination: reject options that break a confirmed rule before judging the rest.
Worked example
A rectangular plate has a black dot in its top-left corner and a notch in the middle of its bottom edge. The plate is rotated 90° clockwise about its centre. Where do the features end up? Reasoning: a 90° clockwise rotation sends top-left to top-right, so the dot is now top-right. The bottom edge becomes the left edge, so the notch is on the left edge. If the plate were reflected instead, the dot would move to top-right but the notch would remain on the bottom edge - a different result. This is why checking two features, not one, separates rotation from reflection.
Traps that cost marks
- Selecting a mirror image when the stem requires rotation.
- Assuming a shape is symmetrical when its notch or dot makes it directional.
- Losing track after two transformations; redraw after each step.
- Counting folds instead of mapping each hole through every unfold.
- Confusing opposite and adjacent faces on a cube net.