Deductive reasoning — Demo

Logic Grid

Original shape-grid deduction practice for logical thinking — one of the abilities NATS says its Stage 1 tests cover.

Independent practice site, not affiliated with or endorsed by NATS, Aon, EUROCONTROL or the CAA. Our questions are original, written to practise the abilities these assessments cover — they are not the real tests. FEAST is a trademark of EUROCONTROL.

How it works

  1. 1You see a 4×4 or 5×5 grid. Some cells hold shapes, some are blank and one holds a ?
  2. 2No shape repeats in any row or column. A 4×4 grid uses four shapes and a 5×5 grid five, so every row and every column contains each shape exactly once.
  3. 3Work out which shape belongs under the ? and pick it from the shapes below the grid. The next grid appears straight away. You don't need to fill the whole grid — some blanks can't be worked out at all.
  4. 4Stuck? Tap a blank cell to pencil in a shape (shown in grey) while you reason, then tap the ? to go back to answering.

Worked example

  1. Step 1: Row 3 already has and column 1 has , so the only shape left for row 3, column 1 is .
  2. Final step: Row 3 already has step 1 and column 2 has , so the only shape left for the ? is .

Numbered cells show cells you deduce on the way; they are not given in the question.

About this practice

NATS does not publish the names, formats or timings of its Stage 1 tests, so this is independent practice for deductive reasoning rather than a copy of any real test.

How it runs: a 2-minute demo run with no set number of grids. Difficulty adapts — two correct in a row moves you up a level, a wrong answer moves you down — from 4×4 cross-checks to 5×5 grids that need a chain of deductions. Every grid is generated fresh and checked by a solver so exactly one shape can go under the ?.

Controls: tap or click. Keyboard: 1–5 pick a shape, arrow keys move between cells, Esc returns to the ?, Backspace clears a note.

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