100+ Free Kagoshima Entrance Mathematics Practice Questions

Not entirely. Kagoshima's mathematics paper mixes lettered-choice items with short constructed-response items that require worked steps, organized into five major questions covering a basic calculation set, a small-problem set (construction, congruence proofs, probability, simultaneous-equation word problems), data analysis, applied functions, and applied plane geometry; two descriptive geometry-proof questions typically appear. This bank is an English-language four-option MCQ study adaptation, not official past problems or a reproduction of the official layout: real selection items are not limited to four options, and every stem is in Japanese.

No. Although the Kagoshima Prefectural Board of Education publishes the actual examination problems and a results summary after each sitting, it does not publish them as a multiple-choice set. This bank is an original English-language MCQ study adaptation aligned to the 2017 MEXT junior-high Course of Study, covering equations, functions, geometry, and probability with worked-solution reasoning.

The mathematics paper is a single 50-minute exam scored out of 90 points, sat on March 4, 2027 (Day 2 of the Reiwa 9 general-selection academic test). The five subjects total 450 points and are combined with the 450-point report card by correlation in selection, plus an interview where held.

Kagoshima uses grade 3 (third year of junior high) records only, on a 5-point rating scale across nine subjects. The five academic subjects are weighted ×2 (5 × 5 × 2 = 50 points) and the four practical subjects (music, art, health-and-physical-education, technology-and-home-economics) are weighted ×20 (4 × 5 × 20 = 400 points), for a grand total of 450 points. Because the practical subjects carry about 89% of the report-card weight, a one-rating drop in a practical subject costs roughly 20 points while the same drop in an academic subject costs only 2 — a famously unusual Kagoshima feature.

The 450-point academic test and the 450-point report card are combined by correlation (sōkan), NOT by simple addition into a 900-point sum. The two are weighed together with the chōsasho's 'comprehensive remarks and reference matters' (sōgō shoken) and, where the school holds one, an interview; some schools apply weighted scoring (keisha haiten) of up to ×2 on at most two subjects.

Yes. A substantial share of the 100 items are genuine worked-calculation questions with numeric answers — solving simultaneous and quadratic equations, evaluating functions at a point, applying the Pythagorean theorem and similarity ratios, computing volumes, and counting probability outcomes — not just definitional recall.

For the Reiwa 9 (2027 entrance) cycle, the recommendation selection is held February 2, 2027. The general-selection academic test is held March 3–4, 2027 (Day 1, March 3: kokugo, science, English; Day 2, March 4: social studies, mathematics), with a makeup on March 9, 2027, and general-selection results announced March 12, 2027 (Friday). The JPY 2,200 fee is set out in the official R8 selection guidelines.

The paper covers the 2017 MEXT junior-high mathematics curriculum: numbers and expressions, equations and inequalities, linear and quadratic functions, plane geometry (congruence, similarity, circles, the Pythagorean theorem, compass-and-straightedge construction), solid geometry, and probability. Under the R7 (2025) structure the paper is five major questions worth 27, 17, 18, 12, and 16 points. This bank distributes its 100 items across those areas.