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Pattern Completion Puzzles

Three cells of a 2×2 frame follow a rule, and the fourth is missing. The rule is always nameable — a quarter turn per cell, a fill stage per step, a side gained per row — and the answer is the one figure that closes the frame. Sixty rule patterns, generated fresh every time, each with every wrong option explained.

Also known as completion of incomplete pattern. The 3×3 version of the same skill lives on the figure matrix page.

60named rule patterns
8rule families
2×2frame, one cell missing
generated puzzles

Find The Rule, Then Close The Frame

A pattern completion puzzle shows a 2×2 frame of figures with the bottom-right cell empty. The three visible cells obey a rule — a quarter turn per cell, a fill stage per step, a side gained per row — and exactly one option closes the frame under that rule.

How To Solve Pattern Completion Puzzles

  1. Separate the two directions: across the rows, down the columns.
  2. Name the change in words before touching the options.
  3. Count the steps from the visible cells to the empty one.
  4. Watch the direction — backwards and one-step-short are the classic wrongs.

Say the rule before you look at the options. With the rule in words the options are a checklist; without it they are four plausible guesses.

The 8 families, from the same catalogue the generator draws on.
FamilyWhat it covers
Quarter turnsThe four cells are the same figure turned 0°, 90°, 180° and 270°.
Half-turn pairsDiagonal cells match: top-left with bottom-right, top-right with bottom-left.
Mirror rowsEach row is a figure and its mirror image.
Rotation across the rowThe rotation steps by a fixed angle from cell to cell.
Shading across the rowThe fill advances a stage in every step: unshaded, hatched, solid.
Sides down the columnThe shape gains a side in every step down the column.
Dots down the columnThe dot count climbs by one down each column.
Two rules at onceRotation runs one way, shading the other. Both are needed to place the missing cell.

The 2×2 Warm-Up For The 3×3 Matrix

Everything here is the single-rule version of the figure matrix, where two rules run at once along three rows and columns. If the double-rule family here feels comfortable, the matrix page is the natural next step.

Pattern Completion Puzzles Frequently Asked Questions

What is a pattern completion puzzle?

Three cells of a 2×2 frame follow a rule and the fourth is hidden. You work out the rule that runs through the visible cells and choose the figure that closes the frame.

How do you solve pattern completion questions?

Check two directions separately: what changes across the rows, and what changes down the columns. Name the change in words — a quarter turn per cell, a fill stage per cell, a side per row — then build the missing cell with the rule applied the right number of times.

What is the difference between pattern completion and figure matrix?

They are close relatives. A figure matrix runs rules along rows AND columns of a 3×3 grid, and both must be satisfied together. Pattern completion uses a 2×2 frame, which makes it the warmer-up of the two: one rule direction often settles the question on its own.

Why does the missing cell always sit bottom right?

So the frame reads in the same order every time: top-left, top-right, bottom-left, then the cell you complete. The rule may run in any direction through that order — reading order and rule direction are deliberately different things.

How many puzzles are there?

There is no fixed number. Each puzzle is rebuilt from the short seed in the page address, so the supply is effectively unlimited. Copying the puzzle link saves that exact puzzle permanently.

Can I practise one pattern at a time?

Yes. Pick any pattern from the catalogue above and the board switches to that pattern only, with its own address you can bookmark or hand out.

Is this the same as the pattern completion questions in exam papers?

Yes. Completion of incomplete pattern and pattern completion appear in the non-verbal reasoning section of SSC, banking and railway papers. The rule families here — quarter turns, mirror rows, stepping counts and fills, and two rules at once — cover the frames those papers use.

What should I check first?

The direction of the rule. Most wrong options apply the right change in the wrong direction or stop one step short. Fix the direction before you look at the options, and half of them eliminate themselves.