Placement test

Find the point where training should begin.

Starting too low wastes months. Starting too high teaches you almost nothing. These twelve questions adjust as you go — right and the next is harder, wrong and it eases off — and estimate the stage where the mathematics should start to stretch you.

Before you begin

You'll need pen and paper. These are problems, not mental arithmetic.
Every question has a short answer: a number, a fraction or an expression.
There is no clock. Give a hard one a real attempt, but if ten minutes pass with no way forward, move on.
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