TMUA · SMC · BMO · AMC 12 · AIME

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A route for your level

From GCSE HigherBegin with Kangaroo-style puzzles, then try SMC and AMC 12.Try a starter question →From A-levelTake familiar algebra and geometry further with AMC 12 and AIME.Try AMC 12 →For TMUAPractise exact reasoning with SMC, AMC 12 and AIME alongside the TMUA bank.Try TMUA →For OlympiadUse AIME for inventive calculations, then write complete BMO proofs.Try a proof →

All question sets

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Admissions · 312 questions

TMUA practice

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Easy · 63 questions

SMC warm-up

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Medium · 62 questions

SMC practice

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Medium to hard · 63 questions

AMC 12 practice

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Mixed difficulty · 60 questions

AIME practice

Find the whole-number answer from 000 to 999.

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Foundation to stretch · 108 questions

BMO proof practice

Write a full proof, then compare it with the model solution.

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Original 60+ question banks with study mode and short timed rounds. The Kangaroo-influenced starter problems sit in the SMC warm-up and practice banks. These do not reproduce official papers or scores. For full TMUA preparation, use the official specification and practice materials ↗. For reasoning beyond a multiple-choice answer, try interview practice →.