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About this exam

The Mie Prefectural High School Entrance Examination in Mathematics (三重県立高等学校入学者選抜 数学) is the mathematics paper taken by students applying to prefectural high schools in Mie Prefecture, Japan. It is a written, short-answer examination: candidates write numerical answers, expressions, and multi-step reasoning rather than choosing from options, and later parts of a question often build on an earlier result. The paper samples the full junior high school curriculum - number and algebraic expressions, equations and inequalities, functions and graphs, plane geometry including congruence, similarity and circles, measurement of solids, data handling and probability - and reserves a meaningful share of marks for explaining and proving, so a correct answer with no working can lose credit. It is intended for students completing compulsory education in Japan; candidates outside the Japanese school system should confirm eligibility and procedures with the Mie Prefectural Board of Education. Because the board publishes the current year's question count, time limit, and scoring arrangements itself, treat any figure you see elsewhere as unverified and check the official site. Preparation works best as a cycle: rebuild fundamentals topic by topic, then practise full papers under time, then review errors by cause - misread question, calculation slip, or missing reasoning - rather than by topic alone. Writing out proofs and explanations by hand, and having them checked, is the habit that separates strong scores from near-misses.

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Common questions

About Mie Entrance Mathematics preparation

What is the format of the mathematics paper?

It is a written, constructed-response test: you write numbers, expressions, and sentences of reasoning in the spaces provided. There are no multiple-choice items. Questions are grouped into multi-part problems, and a result from part (1) is frequently needed in part (2), so an early error can cascade. Show working even when the final value is wrong.

How many questions are there and how long do I get?

The Mie Prefectural Board of Education publishes the current year's paper structure, question count, and time limit in its official entrance selection guidelines. Those details change between years, so confirm them on the board's website or in the application documents for your year rather than relying on second-hand figures.

How difficult is the exam?

Most items test standard junior high content at a steady pace; difficulty comes from the later parts of each multi-part question, which ask you to justify or generalise. Fluency in basic calculation and graph reading buys time for those parts. Aim to secure all routine marks first, then attempt the reasoning sections with remaining time.

Can I retake the examination?

Rules on reapplication, eligibility, and any special selection procedures are set by the Mie Prefectural Board of Education and can differ by year and by school. Check the current official guidelines or ask your junior high school guidance teacher, who will have the latest documents. Do not assume a retake is automatic.

In what order should I study the topics?

Start with algebraic expressions and linear equations, since they underpin everything else. Then functions and graphs, then plane geometry, which carries the largest share and rewards sustained practice. Add measurement of solids, then data and probability, which are quicker to master. Finish with mixed and past-paper practice that forces you to switch topics under time pressure.

How should I handle proof and explanation questions?

Write the reasoning as complete sentences with explicit grounds: state which given fact, definition, or previously proved result justifies each step. Name the triangles or figures you compare, and state the congruence or similarity condition you used. Practise by writing proofs from memory and having a teacher mark them for missing justification, not just for the conclusion.

What mistakes cost the most marks?

Three recur: misreading what is being asked (for example, giving a length when an area is required), unchecked arithmetic in multi-part chains, and answers with no working so partial credit cannot be awarded. A fourth is spending too long on one hard final part. Read each question twice and note the requested quantity before calculating.

Where can I find official past papers and announcements?

The Mie Prefectural Board of Education website publishes entrance selection information, and schools and junior high guidance offices distribute application documents. Use those official channels for dates, eligibility, and paper structure. Past papers from the board are the most reliable practice material because their style matches what you will sit.

Does this page represent the official examination?

No. This is independent study material prepared for candidates searching for information about the exam. It is not affiliated with, endorsed by, or produced by the Mie Prefectural Board of Education or any school. Always verify dates, procedures, and paper details against official sources before making decisions.