Spatial and Abstract Reasoning: Rules, Rotations and Sequences
What this domain tests
Spatial and abstract reasoning measures your ability to hold a shape in mind, transform it mentally, and spot the rule governing a series or grid. The recurring concepts are rotation (turning a figure about a point), reflection (mirroring across a line), translation (sliding without turning), enlargement/reduction, and element counting (number of sides, dots, shaded regions, intersections, lines of symmetry). Series questions usually vary one attribute at a time; matrices vary two attributes across rows and columns.
Traps to watch for
- Rotation versus reflection: a shape rotated 90° can look like a mirror image at a glance. Check a single asymmetric feature (a notch, a dot) to tell them apart. A reflected figure cannot be rotated back into the original unless it is symmetrical.
- Counting the wrong thing: candidates count outer edges when the rule tracks interior lines, or count dots when the rule tracks shaded areas.
- Two rules at once: in a 3×3 matrix, the row rule may be "add one side" while the column rule is "shade flips". Satisfy both.
- Distractor options that break one attribute only - often the near-miss is the trap.
- Assuming a sequence is arithmetic when it alternates between two sub-sequences.
Rule of thumb
Name the attribute that changes and the direction of change out loud (mentally): "sides +1 each step, shading alternates, dot rotates clockwise." Then check the answer against every named attribute, not just the most obvious one.
Worked example
A triangle with a dot at the top becomes a triangle with a dot at the right, then bottom. Rule: dot rotates 90° clockwise; shape unchanged. The next figure has the dot on the left. An option showing a mirrored triangle with the dot on the left fails the shape attribute.