Planar rotation: keep axes and centres fixed
Review quarter-turns, non-origin centres, whole shapes and composition with worked examples. Original untimed text-and-coordinate practice, without norms.
This public guide explains one part of the original word-and-coordinate practice. Every complete attempt shows all five topic counts and all five full guides. It is not a private attempt, ranked outcome, percentile or general spatial-ability classification.
Read the coordinate convention before turning
The planar questions keep the grid fixed: positive x points right and positive y up. The object moves within that grid. A clockwise turn therefore is not defined by an arbitrary phone orientation, nor does it rotate the coordinate axes themselves. Identify the named centre and the exact requested endpoint before calculating. A question about Q must preserve Q’s identity even if another endpoint lies closer to an attractive answer. These are written spatial tasks, so understanding the coordinate language is part of the exercise.
A fresh quarter-turn and its inverse
Take a new point P(4,2) and turn it 90° counterclockwise about the origin. The rule (x,y)→(-y,x) gives (-2,4). A clockwise quarter-turn of that result returns (4,2), providing a separate inverse check. The squared distance from the origin stays 4²+2²=20, also equal to (-2)²+4². Distance alone does not identify the answer, because several different points can have that distance; it is a useful check after the direction and endpoint have been settled.
Move the centre out of the arithmetic first
For a fresh centre C(2,1) and point P(3,4), first form the offset P-C=(1,3). A counterclockwise quarter-turn changes the offset to (-3,1). Adding C back gives P′=(-1,2). The distance squared from C remains 10, although distance from the origin need not stay the same. Skipping the subtraction or forgetting to add the centre back answers an origin-based problem instead. Keep centre coordinates and moving-point coordinates in separate rows when using a paper sketch.
Transform every occupied cell consistently
For an occupied-cell shape, apply the same turn to every listed centre. Trace one distinctive short arm or corner, then check the remaining centres rather than moving only the longest segment. Some tasks request exact positions about a fixed origin; others explicitly permit translation when matching shapes. Subtracting a common offset is appropriate only for the latter comparison. Do not quietly slide a shape in a question that forbids translation. An unordered set of occupied cells also differs from a pair of named endpoints whose labels must stay attached.
Combine turns only under the stated conditions
Four quarter-turns in one direction about one fixed centre return an object to its starting position. Two same-direction quarter-turns make a half-turn; they do not cancel. A clockwise and a counterclockwise quarter-turn about that same centre do cancel. These shortcuts depend on the shared centre and fixed axes. If a new problem changes centres or inserts a reflection, keep the intermediate positions instead of merely adding remembered angles. The bank states its operations explicitly, and the item explanation shows which sequence was actually used.
Use the six-item count with its worked answers
The rotation sub-count records how many of these six original items were answered correctly. It does not separate mental imagery from symbolic calculation, reading or prior coordinate familiarity. Two identical counts may contain different errors, such as the wrong centre or a reversed turning direction. Read the actual item working before deciding what to practise. Every complete attempt, including a zero-correct attempt, receives all 30 explanations and all five full guides, without assigning a high or low spatial-ability identity.
Try fresh coordinates rather than memorised options
Create a new point and an explicitly stated centre, predict the direction of its offset after a turn, and then calculate the exact coordinate. Reverse the turn to check your result. Paper and sketches are allowed, and the exercise is untimed. Repeating this fixed bank may improve memory for its options, so a higher retake count does not establish a training effect, reaction speed or transfer to a different assessment. Treat the new calculation as a check of the written transformation rather than as a comparison with other people.