EXAM KNOWLEDGE MAP
Course 1 serves humanities and some science applicants, and its scope is strictly the first seven syllabus domains. Chapters 1–12 open those domains, chapter 13 handles the mechanics of a guided mark-sheet paper, and chapter 14 addresses the difficulty international students actually face: the mathematics is familiar, the Japanese is not.
Strictly follows domains 1–7 of JASSO's 2026 Course 1 syllabus; domains 8 and later belong to Course 2 and are out of scope here.
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FINAL REVIEW BOARD
Course 1 and Course 2 are different papers; you choose at application according to what your target schools require.
There is no time to derive these in the exam; they must come out directly.
For international students, marks are lost less in the arithmetic than in conditions that were never read.
QUICK REFERENCE
The seven syllabus domains are laid out as twelve chapters of six items each, plus twelve solving and Japanese-reading methods.
SOLVING METHODS
Keep reading, calculation, verification, and review procedures in one place. Choose the format, then check only the steps you need.
SYLLABUS AT A GLANCE
The structure of the reals, radical arithmetic, exponent laws, and factorization.
Linear inequalities, systems, and expressions with absolute values.
Set operations, necessary and sufficient conditions, contraposition, and proof by contradiction.
Completing the square, vertices, translations, and extrema on restricted domains.
OFFICIAL REFERENCE
The quadratic formula, the discriminant, root-coefficient relations, and root placement.
Definitions, extension to obtuse angles, identities, and special angles.
The laws of sines and cosines, area formulas, and measurement in solids.
Addition and multiplication principles, permutations, combinations, circular arrangements, and inclusion-exclusion.
Definitions, the addition rule, complements, repeated trials, and expected value.
Divisors and multiples, prime factorization, the Euclidean algorithm, and Diophantine equations.
Angle bisectors, triangle centers, Menelaus and Ceva, and similarity.
Inscribed angles, cyclic quadrilaterals, tangent-chord angles, power of a point, and polyhedra.
Read the answer frame, follow the guided steps, verify by substitution, and manage the clock.
Terminology, question phrasing, quantifiers, units, and the labels on figures and tables.
