Between the Challenge and the Olympiad

Three hundred and eighty-eight problems from the Indian national olympiad qualifiers, the PRMO and the IOQM, arranged by the mathematics they are about rather than the paper they were set on, from divisibility and Diophantine equations to counting, inequalities, triangles and circles. Every one asks for a number, and every one is worked in full.

The level is the one a student reaches after the multiple-choice challenge papers and before the olympiad papers that ask for written proofs. Each chapter opens with its problems, graded by difficulty, and closes with complete solutions that name the key idea first. A short opening chapter sets out the tools the book assumes. The problems remain the work of the examiners who set them, reproduced with attribution; the solutions, arrangement, figures and commentary are the author’s own.