100+ Free Kanagawa Entrance Mathematics Practice Questions

Kanagawa's academic test is mark-sheet (bubble) based, so the mathematics paper is recorded on a mark-sheet answer sheet — closer to MCQ than most prefectures' written papers. However, 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 in Japanese, items are not limited to four options, and the official paper's exact item count is not published.

No. Although the Kanagawa Prefectural Board of Education publishes the actual R8 examination problems and selection guidelines, it does not publish them as a four-option 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 — not an official translation or format simulation.

The mathematics paper is a single 50-minute exam scored out of 100 points, sat on February 16, 2027 (Tuesday, part of the Reiwa 9 common-selection academic test). The five subjects total 500 points and are combined with the 135-point report card through an S-value formula in selection, with a makeup on February 22, 2027 and results on February 26, 2027.

Kanagawa uses both year-2 and year-3 records on a 5-point rating scale across nine subjects. The year-2 nine-subject total is 45 (9 × 5) and the year-3 nine-subject total ×2 is 90, giving a grand total of 135 points. Per-school weighted scoring (keisha-ka) may double up to three report-card subjects. Note that in the second stage (dai-niji senkō) report-card ratings are NOT used — only the year-3 'attitude toward proactive learning' rating (c) replaces them.

Kanagawa uses an S-value formula, NOT simple addition of 500 + 135. First stage (about 90% of admissions): S1 = (a)·f + (b)·g, where a is the report card scaled to 100, b is the academic test scaled to 100, and f + g = 10 are integer school-chosen weights each at least 2. Second stage (about 10%): S2 = (b)·g' + (c)·h', where c is the year-3 proactive-learning-attitude rating scaled to 100. There is no fixed pass mark; selection is by S-value ranking within each school's quota.

Kanagawa's prefectural public high schools form one prefecture-wide school district (zen-ken ichi-gaku), so candidates can apply to prefectural high schools across the entire prefecture rather than being restricted to a sub-regional district — a distinctive Kanagawa feature that broadens school choice.

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 surface areas, and counting probability outcomes — not just definitional recall.

For the Reiwa 9 (2027 entrance) cycle, the common-selection application window is January 25–29, 2027, with a preference-change period February 4–8, 2027. The academic test is held February 16, 2027 (Tuesday), with a makeup on February 22, 2027, and results announced February 26, 2027. The JPY 2,200 entrance examination fee (JPY 950 part-time) and a separate JPY 5,650 admission fee are set out in the official Kanagawa 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. This bank distributes its 100 items across those areas, mirroring the Kagoshima mathematics practice bank's topic proportions.