MEXT scholarship · Specialized Training College
Specialized Training College · Mathematics · 2016–2019
Worked solutions in English
English worked solutions to four MEXT Specialized Training College mathematics papers. One PDF follows the intermediate calculations, domains, geometric conditions and answer-field order. Use it alongside the free official questions; it is not the undergraduate or KOSEN examination.
2016–2019 · Four official public papers
12 major problems · 54 solution units · 125 answer fields · 38 pages
English / A4 PDF
See included papersSample worked solutions
Open the 5-page sampleThe free 5-page sample contains the actual cover and two complete major problems: 2016 problem 3 on recovering three equations from graphs and 2019 problem 2 on two right triangles, radii, a perpendicular distance and exact 15-degree values. Printed page numbers are retained. These are actual pages from the book. Select an image to read it at full size.
Included mathematics papers and topics
| Paper | Topics | Pages |
|---|---|---|
| 2016 | Inequalities, logarithms, counting, vectors, tangency lengths, scalar products and equations recovered from graphs | 2–10 |
| 2017 | Radicals, absolute values, repeated-digit permutations, progressions, monotonic cubics, right triangles and perpendicular lines | 11–19 |
| 2018 | Exact trigonometry, telescoping sums, integer restrictions, sequences, vector area, a cyclic quadrilateral and signs read from a parabola | 20–28 |
| 2019 | Absolute-value domains, nonnegative triples, circles, geometric progressions, median length, tangent-bounded area and graph matching | 29–37 |
All three major problems from each of the four public papers. The book retains the year, major-problem number and answer-field order while supplying its own derivations. Each year occupies a separate nine-page section of worked mathematics after the cover and contents. The 38-page total includes covers, reading notes and contents. Page ranges use the printed numbering within each volume.
Who this is for
Applicants practising the Mathematics paper in the MEXT Specialized Training College scholarship first screening. The book assumes upper-secondary algebra, geometry, trigonometry, probability, vectors and introductory differentiation and integration. Attempt the official paper first, then use the explanation to locate a missing condition, transformation or field value.
Not included
No Japanese or English language-test solutions, undergraduate or College of Technology papers, papers after 2019, question translations, personal tutoring or scholarship guarantee. Eligibility and application procedures can change; confirm them with the current guidelines and the Japanese embassy or consulate responsible for your application.
Three conditions that decide the answer
A transformed equation keeps its original domain
In 2016 problem 1(4), changing the logarithms to one base produces a quadratic with candidates 2 and 5. The original logarithms require x > 3, so only 5 survives. The explanation substitutes that value into the logarithmic equation instead of accepting every polynomial root.
The vertex order selects the fourth point
In 2018 problem 2, the perpendicular bisector meets the circumcircle at two points. Only one gives the boundary order A, B, C, D shown in the paper. Selecting it fixes the direction of the final vectors and gives the scalar product −3.
A squared placeholder asks for the radius
In 2019 problem 1(3), the diameter endpoints give centre (3, 4) and radius 5. Because the third printed answer field is already followed by a square, the entry is 5, not 25. Both endpoints are substituted into the resulting circle as a check.
What the current first screening requires
The 2027 application guidelines list Japanese, English and Mathematics as written academic examinations for all Specialized Training College applicants. Calculators and other devices may not be used. This product covers only Mathematics and does not replace the current guidelines, the language papers, application documents or the interview.
Classes at the specialized training college are normally conducted in Japanese, and application timing is handled by the Japanese diplomatic mission for the applicant’s country. Check the official application page for the current country-specific procedure instead of treating the years in this practice book as current application rules.
Choose the paper for your scholarship category
These papers are not shortened versions of the undergraduate or KOSEN examinations. For Social Sciences and Humanities, use the undergraduate Mathematics A book. For Natural Sciences A, use the undergraduate Mathematics B, Physics and Chemistry set. College of Technology applicants need the separate KOSEN set.
Free official questions, answer keys and current guidelines
Choose 2016, 2017, 2018 or 2019, then Specialized Training College Students and Mathematics on the official examination page. Do not substitute the Undergraduate Students or College of Technology Students papers. This book provides independent worked explanations; it does not republish the question statements or official answer tables.
Independently written by InshiHub, not an official MEXT / Study in Japan publication and not affiliated with MEXT / Study in Japan. For corrections, email the subject, year, question number and issue to inshihub.com@gmail.com. About InshiHub (Japanese)
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