Non-verbal Pattern Completion
~18 min read · AFCAT Reasoning and Aptitude
- Weight: About 1.75 marks per AFCAT paper across pattern grids and series-of-figures items.
- Skill: Spot the single transformation that connects one cell to the next, then apply it to the empty cell.
- Trap: Distractor figures that change two attributes at once when the rule changes only one.
Overview
Non-verbal Pattern Completion appears about 1.8 times per paper across the last four AFCAT solved papers, placing it in the high yield band of Reasoning and Aptitude.
Non-verbal pattern completion is the AFCAT question where you see a small figure grid — usually a 2x2 or 3x3 layout — with one cell left blank, and you choose the answer figure that completes the design. About 1.75 marks per paper hang on it, sometimes spread between a pure grid item and a series-of-figures item where four shapes sit in a row and you supply the fifth.
The trick is that the figures themselves are simple — squares, circles, triangles, arrows, dots, line segments — but the rule that ties them together is hidden. You have to scan rows, scan columns, sometimes scan diagonals, and pin down a single transformation: a rotation, a reflection, an added element, a shading change. Once the rule is named in plain words, the answer figure picks itself, and the three wrong options become obvious because each one breaks the rule in a different way.
This page works through the question shape, the grid-scan method, the full transformation catalogue, the way AFCAT lays traps, and ten worked examples written in clean text descriptions so you can follow them without printed figures.
Why non-verbal items reward visual fluency
Verbal reasoning runs on words; non-verbal reasoning runs on shape memory. The pattern-completion item gives you between thirty seconds and a minute to compare up to eight tiny pictures, name the rule and pick from four answer figures. There is no formula to write. The only resource is your eye and how quickly it can hold one figure in working memory while comparing it against the next.
Visual fluency is trainable, and that is what makes this question paper-friendly. A student who has drilled twenty figure grids can name a 90-degree clockwise rotation as fast as a chess player spots a pin. A student who has never practised stares at the grid waiting for it to speak. The marks per minute on this topic are excellent once the eye is trained — most candidates who have done a few hundred items solve a fresh one in under forty seconds at near-perfect accuracy.
The other reward is psychological. Pattern items sit alongside heavier algebra and reading-comprehension questions in the AFCAT paper. Knocking off a non-verbal item in under a minute lifts confidence and keeps the rhythm of the paper steady. Skipping it because the figures look unfamiliar is a small but real morale loss.
Question shape — the partial grid
The most common AFCAT format shows a 3x3 grid of nine cells. Eight cells contain small figures; the ninth cell — usually the bottom-right but sometimes a middle cell or the top-right — is blank, replaced by a question mark. Below the grid sit four answer figures labelled (A), (B), (C), (D). Your job is to pick the one figure that fills the blank cell so that every row and every column obeys a consistent rule.
A second common format is the 2x2 grid. Three cells are filled; one is blank. The rule is usually simpler — only one row pair and one column pair to scan — but the answer figures are designed to look almost identical, so attention to detail matters more.
A third format, called the series-of-figures variant, drops the grid altogether. Four shapes sit in a horizontal row with a question mark in the fifth position. The rule is applied from each figure to the next. Whichever shape the rule lands on at position five is the answer.
In all three shapes the figures are intentionally minimalist — outlines, dots, shading, simple arrows. The simplicity hides the rule.
The grid-scan method — rows, columns, diagonals
Use a fixed scan order so you never miss a rule.
- Scan the rows. Take row 1, name how figure 1 changes into figure 2, then check whether the same change carries from figure 2 to figure 3. If it does, you have the row rule. Confirm by running the rule across row 2.
- Scan the columns. Take column 1 and ask the same question top to bottom. If the row rule has fixed the missing cell, the column scan should agree — if it does not, you have misread one of the rules.
- Scan the diagonals. Some grids hide the rule along the main diagonal (top-left to bottom-right) or the anti-diagonal. Always glance at both before committing.
- Predict in words before looking at answer figures. If your prediction is "a triangle with shading on the right, pointing down," you will reject distractors instantly. If you look at the answer figures first you will be biased by the most attractive one.
- Match and eliminate. Reject options that break the row rule, then reject options that break the column rule. The survivor is the answer.
The full scan takes around fifteen seconds when practised. The remaining time is for confirmation.
Common transformation rules
Almost every AFCAT pattern grid uses one of these eight rules, applied in isolation across a row or column.
| Rule | What changes | What stays fixed |
|---|---|---|
| Rotation 45 degrees | Figure turns one-eighth of a circle in a stated direction | Shape, size, shading |
| Rotation 90 degrees | Figure turns one-quarter of a circle | Shape, size, shading |
| Rotation 180 degrees | Figure turns upside down | Shape, size, shading |
| Rotation 270 degrees | Figure turns three-quarters in the stated direction (same as 90 the other way) | Shape, size, shading |
| Reflection — horizontal axis | Top swaps with bottom, like a water image | Width, shading |
| Reflection — vertical axis | Left swaps with right, like a mirror image | Height, shading |
| Addition of element | A new dot, line or small shape is added at a fixed position | The previous elements |
| Removal of element | One element disappears at a fixed position | The other elements |
| Shading change | Hollow becomes solid, solid becomes hatched, or shading rotates between cells | Outline, position |
| Substitution | One shape replaces another at the same position | Position, orientation |
| Scaling | Figure grows or shrinks by a fixed ratio | Shape, orientation |
| Position shift | An inner element moves to a new corner or side at each step | Outer outline, the inner element itself |
Keep this table in mind. When you read a row you should be able to silently tick which rule is in play within five or six seconds.
Rotation directions — clockwise versus counter-clockwise
Many candidates lose marks not on the angle but on the direction of rotation. The clock face is the anchor. Picture twelve at the top, three on the right, six at the bottom, nine on the left. Clockwise is twelve to three to six to nine. Counter-clockwise is the reverse.
Apply this to any figure with a distinguishing tip — an arrow, a dot, a flag, the longer end of a line.
| Start position of arrow | After 90 clockwise | After 90 counter-clockwise | After 180 |
|---|---|---|---|
| Up | Right | Left | Down |
| Right | Down | Up | Left |
| Down | Left | Right | Up |
| Left | Up | Down | Right |
| Up-right (45) | Down-right (135) | Up-left (315) | Down-left (225) |
To detect direction in a grid, find the figure with the most distinctive tip and trace where the tip moves from cell one to cell two. If it lands one notch towards the three-o-clock side, the rotation is 45 clockwise. If it lands at the three-o-clock side itself, the rotation is 90 clockwise. The same logic mirrored gives counter-clockwise.
The one-attribute-at-a-time rule
AFCAT pattern grids almost never change two attributes in the same step. If a square becomes a rotated square, the shading stays the same. If shading flips from hollow to solid, the rotation stays fixed. If an element is added, the existing elements do not move.
This single fact eliminates most distractors. Suppose the row rule is "rotate 90 clockwise." Among the four answer figures, you may see one that is correctly rotated but also has its shading flipped. That option is the trap. The right answer keeps shading constant and rotates only.
The exam writer plants these traps to punish candidates who lock onto the most visible transformation and miss the second invariant. Train yourself to ask, after naming the rule, "what is the rule not doing?" That second question saves at least one mark per non-verbal section.
The series-of-figures variant
Sometimes the question is not a grid at all but a horizontal row of four small figures with a question mark at position five. The transformation is applied from figure 1 to figure 2, from figure 2 to figure 3, and so on. Your task is to apply it once more.
The method is identical to the grid scan but simpler — there are no columns to worry about. Read figure 1 against figure 2, name the rule, and confirm it survives from figure 2 to figure 3 and from figure 3 to figure 4. Then apply it to figure 4 to predict figure 5.
One useful warning: in the series variant, the transformation may compound rather than repeat. A rotation of 45 may double to 90, then to 135, then to 180. If the cell-to-cell change does not look constant, check whether the change is increasing in a steady way — that itself is the rule.
Counting elements when the shape changes
When the outer shape itself changes between cells — say a triangle in cell one, a square in cell two, a pentagon in cell three — pure rotation rules cannot apply. Switch to the counting method.
- Count the sides of each figure. If the sequence is 3, 4, 5, the next cell has six sides.
- Count the dots, arrows or small marks inside each figure. If the count grows by one each step, the missing cell shows one more dot than the cell before.
- Count the line segments. A figure series sometimes adds one line at each step, building a star or a wheel.
The counting method also helps with shading. If cell one has zero shaded segments, cell two has one, cell three has two, the rule is "shading increases by one segment per step." The missing cell continues the count.
Symmetry and axis check
Reflection rules are easy to miss because a horizontally reflected square looks identical to the original square. The reflection only becomes visible when the figure has an asymmetric mark — a dot in one corner, an arrow on one side, an extra line on the right.
Use this axis-check routine for any figure pair where you suspect reflection:
- Imagine a vertical line through the middle of figure one. Does figure two look like a left-right flip about that line? If yes, the rule is vertical-axis reflection.
- Imagine a horizontal line through the middle of figure one. Does figure two look like a top-bottom flip about that line? If yes, the rule is horizontal-axis reflection.
- If neither imagined line works, the rule is rotation, not reflection. A 180-degree rotation can look like a reflection at first glance — to tell them apart, check a feature in one corner. A rotation moves it to the diagonally opposite corner; a reflection moves it across the axis only.
Common AFCAT figure types
The figures in AFCAT pattern grids come from a small recurring vocabulary. Recognising the family saves time.
| Family | Typical features | Likely rule |
|---|---|---|
| Circles with internal dots | One to four dots placed at compass positions | Position shift or addition of a dot |
| Triangles with arrows | Arrow inside or beside the triangle | Rotation of arrow, fixed triangle |
| Squares with diagonals | One or two diagonals drawn inside a square | Addition of diagonal, or rotation of pattern |
| Polygons with shading | Pentagon or hexagon with one or two segments shaded | Shading rotates one position clockwise per cell |
| Arrows on a clock | Single arrow rooted at the centre of a circle | Rotation by a fixed angle |
| Crosses and grids | Plus-sign or small grid with marks at certain intersections | Movement of mark by one step per cell |
| Nested shapes | One shape inside another | Inner and outer rotate by different angles |
When you spot a family, the relevant rule narrows immediately. A polygon with shading is almost always a shading-rotation item. A circle with dots is almost always a position-shift or count item.
Trap patterns to recognise
Three common traps account for most wrong answers on this topic.
| Trap | How it looks | How to beat it |
|---|---|---|
| Two-attribute change | Answer figure rotates correctly but also flips shading | State the rule in words, then check the answer figure preserves every other attribute |
| Wrong rotation direction | Answer figure rotates by the right angle but counter-clockwise instead of clockwise | Confirm direction by tracing the most distinctive tip in two cells of the same row |
| Mirror versus rotation | 180-degree rotation and horizontal-plus-vertical reflection produce similar-looking figures | Pick a corner feature and check whether it lands at the opposite corner (rotation) or across the axis only (reflection) |
| Extra element added | Answer figure includes an extra dot or line that no other cell has | Count elements in the answer and compare to the predicted count |
| Off-by-one shading | Answer figure shades one too many or one too few segments | Tag the shading count in each cell, then count one more for the missing cell |
Whenever two answer figures look equally good, the trap is usually one of these five.
Practice rhythm and time budget
You will see roughly two non-verbal items per AFCAT paper. Budget about ninety seconds total — forty to fifty seconds for each. That leaves enough buffer for one re-check.
- Daily drill: Ten figure-grid items every other day for a fortnight is enough to lock the patterns into long-term memory.
- Mixed sets: Mix grid items with series-of-figures items so your eye learns to spot both formats fast.
- Annotate: When you get an item wrong, write the rule down in plain words and the trap you fell for. After two weeks the same traps will not catch you.
- Sectional mock once a week: Solve thirty mixed reasoning items in twenty-five minutes. Pattern completion sits between coding and series — keep the rhythm even.
The marginal cost of one more drill item is small; the marginal return on this topic is one of the highest in the AFCAT paper because the figure vocabulary repeats.
Worked AFCAT-style examples
A 3x3 grid. Row 1 cells: an arrow pointing up; the same arrow pointing up-right (after a 45-degree clockwise turn); the same arrow pointing right (after another 45-degree clockwise turn). Row 2: an arrow pointing left; arrow pointing up-left; arrow pointing up. Row 3: an arrow pointing down; arrow pointing down-left; question mark. Pick the missing figure.
The row rule is a 45-degree clockwise rotation per cell. Row 3 starts pointing down; one step clockwise lands on down-left (which is shown); the next step lands on left.
A 2x2 grid. Top-left: a square with a single dot in the top-right corner. Top-right: a square with a dot in the bottom-right corner. Bottom-left: a square with a dot in the top-left corner. Bottom-right is blank. Pick the missing figure.
The row rule moves the dot one corner clockwise (top-right to bottom-right). The column rule moves the dot one corner counter-clockwise (top-right to top-left). Applying the row rule to the bottom-left cell takes the dot one step clockwise from top-left to bottom-left.
A 3x3 grid. Row 1: a circle containing one dot; a circle containing two dots; a circle containing three dots. Row 2: a circle containing two dots; a circle containing three dots; a circle containing four dots. Row 3: a circle containing three dots; a circle containing four dots; question mark. Pick the missing figure.
Across each row the dot count rises by one per cell. Row 3 begins with three dots, then four, so the missing cell contains five dots.
A series of four figures with a fifth missing. Figure 1: an upright triangle. Figure 2: the same triangle rotated 90 degrees clockwise so its apex points right. Figure 3: triangle with apex pointing down. Figure 4: triangle with apex pointing left. Figure 5?
Each step rotates the triangle 90 degrees clockwise. Four steps cover a full 360 degrees, so the fifth figure returns to the starting orientation.
A 3x3 grid. Row 1: a hollow square; a square with the top half shaded; a fully shaded square. Row 2: a hollow circle; a circle with the top half shaded; a fully shaded circle. Row 3: a hollow triangle; a triangle with the top half shaded; question mark.
The row rule is a progression of shading from hollow to half to full. Row 3 follows the same shading rule, so the missing cell is a fully shaded triangle.
A 2x2 grid. Top-left: a plus sign. Top-right: a plus sign with a small circle attached to the top arm. Bottom-left: a plus sign with a small circle attached to the bottom arm. Bottom-right is blank.
The row rule adds a top-arm circle. The column rule adds a bottom-arm circle. The missing cell receives both additions, so it carries circles on both arms.
A series of figures. Figure 1: a square. Figure 2: a square with one diagonal drawn. Figure 3: a square with both diagonals drawn (forming an X inside). Figure 4: a square with both diagonals plus a horizontal line through the middle. Figure 5?
Each step adds one new line segment inside the square. Figure 4 has four internal lines (two diagonals plus horizontal); figure 5 adds the vertical line to complete the pattern.
A 3x3 grid. Row 1: a pentagon with the top segment shaded; pentagon with the top-right segment shaded; pentagon with the bottom-right segment shaded. Row 2: pentagon with the top-right shaded; bottom-right shaded; bottom-left shaded. Row 3: pentagon with the bottom-right shaded; bottom-left shaded; question mark.
The row rule shifts the shaded segment one position clockwise per cell. Row 3 starts at bottom-right, then bottom-left, then top-left.
A 2x2 grid. Top-left: an arrow pointing up. Top-right: the same arrow reflected across a vertical axis (it still points up because the arrow is symmetric, but the small flag on its left side now sits on its right side). Bottom-left: an arrow pointing down with a flag on its left. Bottom-right is blank.
The row rule is vertical-axis reflection — the flag swaps sides. Applied to the bottom-left arrow, the flag moves from the left side to the right side.
A 3x3 grid. Row 1: a small circle with a triangle inside; a small circle with a triangle inside rotated 120 degrees clockwise; a small circle with a triangle inside rotated 240 degrees clockwise (back to original orientation). Row 2: a small square with a triangle inside; same rotated 120; same rotated 240. Row 3: a small pentagon with a triangle inside; same rotated 120; question mark.
The row rule rotates the inner triangle by 120 degrees clockwise per cell while the outer shape stays fixed. Row 3 outer shape is a pentagon; the third cell shows the triangle after two rotations of 120, which is the same as the starting orientation since 360 degrees brings it back.
Exam-day strategy
- Always state the rule in plain words before looking at the answer figures — this stops the most attractive distractor from biasing you.
- Run the row scan first; if it pins the answer, confirm with the column scan as a check.
- When direction is ambiguous, trace the most distinctive tip (arrow head, flag, dot) across two cells to confirm clockwise versus counter-clockwise.
- Apply the one-attribute-at-a-time rule — if a candidate answer changes two things, reject it.
- For grids where the outer shape changes, switch from rotation logic to a counting check (sides, dots, line segments).
- Watch for the 180-degree-rotation versus full-reflection trap by checking where a corner feature lands.
- Aim for forty to fifty seconds per item; budget around ninety seconds total for the two non-verbal items in the paper.
- Drill ten mixed figure-grid and series items every alternate day for two weeks before the exam.
Practise Non-verbal Pattern Completion for AFCAT
Practise AFCAT-pattern non-verbal grid and series drills with timed five-item sets.
Start free AFCAT practiceFrequently asked questions
How many non-verbal pattern-completion items appear in an AFCAT paper?
On average about 1.75 items per paper across grid completion and series-of-figures formats. Some papers carry only one such item; others carry two.
How are the answer figures presented?
Four single figures labelled (A), (B), (C), (D) appear below the question grid or series. Exactly one fits the rule.
Do AFCAT grids ever change two attributes between cells?
Very rarely. The standard convention is one transformation at a time per row or column. Answer figures that combine two changes are usually distractors.
What if a row rule and a column rule disagree about the missing cell?
They will not disagree if you have read both correctly. If they appear to disagree, re-check the rule on a different row or column — one of your rule descriptions is wrong.
How can I tell rotation from reflection when both look possible?
Find an asymmetric feature like a corner dot. A rotation by 180 degrees moves it to the diagonally opposite corner; a reflection moves it across a single axis only. Test that one feature and you will know.
Is there a difference between figure series and the grid format?
Yes. Figure series sits in a single horizontal row with one rule applied step by step. The grid format has rows and columns, each with its own rule that you cross-check. The transformation catalogue is identical.
How long should each non-verbal item take?
Forty to fifty seconds in steady state. Faster than that if the rule is obvious; slower only if you suspect a trap.