Practice
Practice reasoning on questions built for this sitting
Matrices, sequences, rotations, syllogisms and ordering puzzles built in your browser, with the rule shown after every answer. Free, no sign-up, nothing kept.
Every other test on this site ships the questions it asks, which is fine for a test you take once and useless for practice: come back a second time and you get the grids you already solved. This page ships the rules instead and builds the questions in your browser when you press Start. Two runs are not the same run.
The practice runs in your browser, and your browser is not running the script for this page. Every other reasoning route works without it — the IQ shelf and the practice shelf ship their questions in the page.
What you can practise
- Grids
- A three-by-three grid with the last cell missing. Six rule families: the fill advances, the count grows, three shapes fall in a Latin square, two attributes move independently, a shape turns a fixed step per column, or the count sets the row and the shape sets the column.
- Series
- Four tiles and a fifth to come. The count grows, the fill cycles, three shapes repeat in order, or one shape turns a fixed step per tile.
- Rotations
- One figure, and which of the options is that figure turned — or mirrored. Every figure used here is chiral: its reflection is never one of its own rotations, so the mirror option is a real answer to get wrong.
- Syllogisms
- Two statements about three categories, and what follows. The categories are invented words so that nothing you already know about the world can help or mislead you.
- True or false
- Three letters, some statements that constrain them, and one thing that must be true — or nothing that must be.
- Ordering
- Five names in a row and a handful of clues that fit exactly one arrangement. Every clue is needed: drop any one and a second arrangement fits.
How we know each question has one answer
A generated question is only worth answering if exactly one of its options is right, and that is checked by enumeration rather than by our confidence. A grid or a series is compared against every visually distinct figure the rule could produce, and the item is thrown away unless exactly one of them satisfies every rule the stimulus shows. A syllogism is checked against all 256 ways three categories can overlap. A true-or-false item is checked against all eight combinations of its three letters. An ordering puzzle is checked against all 120 arrangements of its five names.
Items that fail that check are never shown to you; they are discarded when they are built. The rule is printed under every question once you have answered, along with how many possibilities it was checked against.
What this page does not do
It keeps no score. There is no account, no history, no streak and nothing written to your browser’s storage — reload the page and this sitting is gone. It reports how many you got right in this sitting and nothing more: these questions were generated a moment ago, so there is no norm sample, no percentile, and nobody to compare you with. If you want a score out of 100 with difficulty weighting, the IQ tests do that on a fixed bank; if you want the method behind it, the scoring method is published in full.
Each run shows its seed. The same seed builds the same questions, so if something looks wrong you can tell us which run and which question rather than describing the picture.