Senior Mathematical Challenge styleMultiple choice · A–EInspired by the format · not an official paper
A positive integer is both a divisor of 360 and a square number. How many such integers are there?
Medium · original practice
SMC practice
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Format, timing & official papers
Original SMC-style reasoning. Work without a calculator. The full 2026 paper is 90 minutes with 22 multiple-choice and three integer-answer questions. This bank spans the middle of the difficulty range.
Official guidance & papers ↗Timed rounds select 10 questions from this bank, with 4 minutes per question. Your score is practice feedback, not a prediction of an official result.
Study mode · browse all 62 questions, with hints and explanations.
Question reference: smcm-01Report a question →
Need a nudge?Three small hints · no answer revealed