100+ Free Kagawa Entrance Mathematics Practice Questions

Not entirely. Kagawa's mathematics paper mixes lettered-choice items with short constructed-response items that require worked steps, organized into several major questions covering a small-problem calculation set, equations, functions, geometry, and probability; about 30% of points is a small-problem set, and 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 Kagawa Prefectural Board of Education publishes the actual examination problems 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 50 points, sat on March 9, 2027 (Day 1 of the Reiwa 9 general-selection academic test, at 10:30, alongside the other four subjects). The five subjects total 250 points and are combined with the 220-point report card on a five-band correlation table in selection, plus an interview for all applicants.

Kagawa uses all three junior-high years and all nine subjects on a 5-point rating scale. Grade 1 and grade 2 each total 45 points (9 subjects × 5). Grade 3 totals 130 points: the five academic subjects are weighted ×2 (5 × 5 × 2 = 50) and the four practical subjects (music, art, health-and-physical-education, technology-and-home-economics) are weighted ×4 (4 × 5 × 4 = 80). The grand total is 220 points, based on records as of 2026-01-15. Because grade 3 carries the most weight, third-year ratings matter most.

In principle the 250-point academic test and the 220-point report card are treated equally: each is divided into five bands and the two are combined on a correlation table (sōkan hyō) to judge pass/fail, with an interview for all applicants and, for art and music departments, an aptitude test (tekisei kensa). Other record contents are also considered comprehensively.

Yes. About a third 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 general-selection application window is February 12–15, 2027 with preference change February 17–19, 2027. The academic examination is held March 9–10, 2027 (all five academic subjects on Day 1, March 9; the aptitude test and interview on Day 2, March 10), with a makeup March 13–14, 2027, and general-selection results announced March 18, 2027 (Thursday). The JPY 2,200 fee is set out on the official Kagawa tuition-and-fees page.

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. This bank distributes its 100 items across those areas.