Spatial reasoning practice

Train your eye for shapes in motion — mental rotation, mirror images, figure series and hidden-shape counting. Each question shows the answer and a short explanation the moment you choose. Untimed, no sign-up — and not a scored IQ test.

Question 1 of 12 Spatial reasoning

How many squares of any size are in this grid?

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What spatial reasoning measures

Spatial reasoning is your ability to hold a shape in your mind and act on it — to turn it, flip it, continue its pattern, or see the squares hidden inside a grid. Because it works on novel figures rather than learned facts, it is one of the cleanest windows onto fluid intelligence, and it is exactly what figural matrix puzzles — the heart of many IQ tests — are designed to tap.

The questions above mix the main types: mental rotation (matching a turned figure), reflection (spotting the mirror image), series (continuing a rotating pattern), and counting (finding every square or rectangle in a figure). The key idea running through them is the difference between a rotation, which keeps a shape’s handedness, and a reflection, which flips it.

How to get better at these

The single most useful move is to name the change: ask whether a figure has been rotated or mirrored. A rotated shape can always be turned back to match the original; a mirrored one never can, no matter how you spin it — so the moment you see a flipped version, you can rule it in or out instantly. For rotation items, lock onto one distinctive feature (the longest arm, a corner) and track only that as you turn the figure; trying to hold the whole shape at once is what makes these feel hard. For counting, work in sizes — all the 1×1s, then the 2×2s — so you never lose your place.

One honest note: spatial tasks, especially mental rotation, are the ones where practice shows the most visible gains. That improvement is real and useful, but it lives mostly in the trained format — treat it as a sharper skill, not a higher IQ.

Questions & answers

Can I really improve at this?

Yes, more visibly than the other areas — mental rotation in particular speeds up with practice. The gain is strongest on the formats you drill and transfers only modestly to general ability, so think of it as a skill you are sharpening.

Is this the same as your IQ test?

No. This page is free, untimed and unscored — you practise and see the answer. The full IQ test is a separate 33-question assessment, with figural matrix items, that produces an instant score and a detailed profile.

Do I need to sign up?

Not for practice. Nothing here asks for an email, and your answers stay on your device.