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About this exam

Miyazaki Prefectural High School Entrance Examination - Mathematics (宮崎県立高等学校入学者選抜 数学) is the mathematics paper inside the multi-subject entrance examination used by Miyazaki public high schools to select applicants from junior high school. It is written in Japanese and is intended for students finishing the Japanese junior high curriculum (中学校) who are applying to prefectural high schools, including those aiming at academic, industrial, commercial, and other courses. The paper tests the full junior-high mathematics curriculum: numbers and algebraic expressions, equations and inequalities, functions (linear, inverse proportion, quadratic), plane geometry including congruence, similarity, and circles, data use and probability, and the ability to explain mathematical reasoning in writing. Because the exam is constructed-response rather than multiple-choice, partial credit depends on clear working, correct use of notation, and explanations that state the reason for a claim rather than only the result. Preparation should follow the junior-high textbook sequence and then move to past-paper practice under timed conditions, focusing on showing working, drawing accurate diagrams, and writing short proofs and justifications. Candidates should confirm the current year's format, timing, and scoring arrangements with the Miyazaki Prefectural Board of Education, which publishes the official guidelines and past papers; this page is independent study material and is not affiliated with the board or any school.

What you'll study

Common questions

About Miyazaki Entrance Mathematics preparation

What is the format of the Miyazaki mathematics entrance exam?

It is a written, constructed-response paper: you write numerical answers and short explanations by hand rather than choosing options. Expect questions that require showing working, drawing or reading diagrams, and justifying a conclusion in a sentence or two. The official question-setting policy and past papers from the Miyazaki Prefectural Board of Education show the current structure.

How long is the mathematics paper and how many questions are there?

Those figures change and are set by the prefectural board each year, so check the current official guidelines and the published past papers. Do not rely on a number from an older year or from a prep book. Practise with a timer once you know the current format.

How difficult is the exam compared with regular school tests?

The basic items are close to textbook level, but the later questions combine topics and ask for explanation, so they are harder than a typical term test. The gap comes less from advanced content than from reading carefully, choosing a method, and communicating reasoning clearly under time pressure.

Can I retake the exam if I fail?

Retake and reapplication arrangements are set by the prefectural board and can differ by year and by school. Check the current official entrance examination guidelines for whether a second round or additional recruitment applies to your situation. Do not assume a general retake rule.

In what order should I study the topics?

Follow the junior-high sequence: numbers and expressions, then equations, then functions, then geometry, with data and probability alongside. Geometry and written explanation deserve extra time because they carry a lot of marks and are where students lose points. Finish with timed past-paper practice and review every error.

Where do students commonly lose marks?

Typical losses are skipping working, misreading a condition, giving an answer without units, and writing an explanation that states the result but not the reason. In geometry, inaccurate diagrams and unstated similarity or congruence conditions cost marks. In functions, students confuse the meaning of a gradient or a domain restriction.

How should I write an explanation to earn credit?

State what you are proving, cite the condition you use, and reach the conclusion in logical order. Use standard notation and name the property, such as a similarity condition or a circle theorem. Short, complete sentences with clear reference to the figure score better than a long paragraph that leaves the reasoning implicit.

Is the exam in Japanese, and does that matter for mathematics?

Yes, the paper is delivered in Japanese. Mathematical terms are usually written in kanji, so you need to read instructions and conditions accurately. Practise reading past papers in Japanese and learn the standard wording for conditions such as domain, range, and similarity, because a misread condition is a common source of error.

How much time should I leave for checking?

Build a habit of reserving the final few minutes for checking arithmetic, units, and whether each question's actual request was answered. In a constructed-response paper, a correct method with a small slip can still earn most of the marks if the working is visible, so write clearly throughout rather than tidying at the end.

Where can I find official information and past papers?

The Miyazaki Prefectural Board of Education publishes the entrance examination guidelines, question-setting policy, and past papers on its official site. Use those for current format, timing, and application details. This page is independent study material and is not affiliated with the board or any school.