5.1 Pattern Recognition: Figural Transformation Sequences
Key Takeaways
- Pattern recognition is worth 5 of the 65 cognitive items and is entirely visual: you identify the rule transforming a set of shapes and select the tile that completes the sequence.
- These are figural items, not number or letter series — arithmetic sequences belong to other agencies' examinations, not to the NYSP Trooper Examination.
- Determine first whether the pattern runs horizontally across rows or vertically down columns, then name the transformation between adjacent tiles.
- The transformations to look for are rotation, vertical or horizontal flip, translation, change of shape, and change of size.
- Confirm the rule on a second row or column before applying it, and compare answer options in detail rather than skimming, since options are designed to differ only slightly.
5.1 Pattern Recognition: Figural Transformation Sequences
Pattern recognition is defined by the publisher as "the ability to determine the underlying rule, process, or transformation that is present within a set of materials," involving "identifying a pictorial or visual pattern when parts of the pattern are presented." It sits under Fluid Intelligence/Reasoning and is worth five of the 65 cognitive items.
The job rationale is analytic: troopers examine ranges of cases looking for patterns and similar crimes — recurring victim descriptions, methods of entry, types of goods taken.
1. These Are Picture Items, Not Number Items
Get this straight before you spend study time in the wrong place. NYSP pattern-recognition items are figural. You are shown a grid of tiles containing shapes, one tile is replaced by a question mark, and you choose the shape that belongs there.
Number series such as 3, 6, 11, 18, letter-position puzzles where A equals 1 and B equals 2, and arithmetic progressions are not on this examination. Mathematical reasoning is not among the twelve narrow abilities measured. Preparation material that drills numeric sequences for a "New York police exam" is usually aimed at the New York City Police Department's test, which has a different blueprint. Practicing it will not hurt your general reasoning, but it will not touch these five items.
The publisher also notes that its own study aids for the NCJOSI2 and LST examinations, which candidates sometimes buy as supplements, do not contain pattern-recognition items — along with memorization and vocabulary, it is one of the three item types unique to this examination among IOS's entry-level tests.
2. The Method
The publisher's procedure, in order:
Step 1 — Find the direction of the pattern. Does the rule operate horizontally across each row, or vertically down each column? In the official worked example the pattern moves horizontally, "as each row contains its own set of similar blocks." Establishing direction first prevents you from comparing the wrong pairs of tiles.
Step 2 — Name the transformation between adjacent tiles. Go one step at a time. In the official example, within the top row the tile is flipped vertically from the left image to the centre image, then flipped horizontally from the centre image to the right image. Write the transformation down next to the image if you have a note board — "V then H" is enough.
Step 3 — Confirm the rule on a second row or column. This is the step candidates skip and the step that prevents most errors. In the official example the second row shows the same vertical-then-horizontal flip, which confirms the rule and licenses you to apply it to the third row.
Step 4 — Apply the transformation mentally to the adjacent tile. The missing tile in the example is the centre of the third row, so the answer must be a vertical flip of the left tile in that row. Look at the tile before the blank, apply the transformation in your head, and form a clear mental image of the result.
Step 5 — Then look at the options and find the one matching the image you formed. Forming the target before scanning the options is what stops a plausible-looking distractor from redefining your expectation.
3. The Transformation Vocabulary
The publisher lists the transformations to watch for: rotation, vertical or horizontal translation, changes in shape, and changes in size. Adding the flips seen in the worked example, the working vocabulary is:
| Transformation | What changes | Diagnostic question |
|---|---|---|
| Rotation | Orientation turns about a centre, typically 90° or 180° | Does the figure appear turned but not mirrored? |
| Vertical flip | Reflected top-to-bottom | Is the top of the figure now at the bottom? |
| Horizontal flip | Reflected left-to-right | Is the left side now on the right? |
| Translation | The element moves position within the tile | Has the shape shifted without changing itself? |
| Shape change | The figure becomes a different form | Circle to square, three sides to four? |
| Size change | The figure grows or shrinks | Same shape, different scale? |
Rotation versus flip is the distinction that decides most items. A 180° rotation and a combined vertical-plus-horizontal flip look identical for a symmetric figure but differ for an asymmetric one. When a figure has an off-centre mark, a notch, or an unequal limb, use that feature as your reference point: under rotation it travels around the centre; under a flip it jumps to the mirrored side.
4. Compound Rules
Harder items combine two changes in a single step — for example, rotate 90° clockwise and shrink; or flip horizontally and change shading. Handle these by tracking one attribute at a time across the whole sequence:
- First pass: ignore everything but orientation. What happens to it from tile to tile?
- Second pass: ignore everything but size.
- Third pass: ignore everything but shading, count, or position.
Three quick single-attribute passes are faster and far more reliable than one attempt to hold every attribute at once, and they make the compound rule fall out as a list.
5. The Error the Publisher Warns About
"A common mistake made by candidates is to not pay close enough attention to the differences between answer options. It can be very overwhelming to solely skim each option, especially when all of the options will be very similar."
Answer options in this block are built to be near-identical. Typically one is the correct transformation, one applies the transformation in the wrong direction, one applies the right transformation to the wrong tile, and one is the untransformed original. Skimming will get you to the right neighbourhood and the wrong house.
The fix is a targeted comparison. Once you have narrowed to two options, do not compare them as wholes. Pick one distinguishing feature — the orientation of a notch, which quadrant a dot occupies, whether a line is solid or broken — and compare only that feature across the two. Deciding one feature is fast; deciding two whole pictures is not.
6. Practice
You do not need purchased material to train this. Two effective drills:
- Fold-and-predict. Take any asymmetric doodle, draw it, then draw what it would look like flipped vertically, flipped horizontally, and rotated 90° clockwise. Check by physically rotating or holding the page to a light. Twenty repetitions builds the mental-rotation habit that these items reward.
- Rule-naming. Work any published figural-series puzzle and, before choosing, force yourself to write the rule as a sentence — "each step rotates 90° clockwise and alternates shading." Items you get wrong after naming the rule teach you something; items you get right by intuition teach you nothing.
Aim for accuracy, then speed. Five items at roughly 90 seconds each is not a tight budget, and these items reward the careful comparison the publisher describes far more than they reward haste.
A pattern grid has three rows of three tiles. In row 1 an arrow points up, then right, then down. In row 2 an arrow points right, then down, then left. Row 3 shows an arrow pointing down, a question mark, then an arrow pointing up. What transformation governs the grid, and what belongs in the blank?
A candidate has narrowed a pattern item to two options that look nearly identical. What does the exam publisher's guidance suggest he do next?
A candidate preparing for the pattern recognition block spends several weeks drilling number series such as 4, 9, 16, 25 and letter-position puzzles in which A equals 1. How useful is this for the five pattern recognition items?