Nara Public High School Entrance Examination - Mathematics

It combines several item types in one booklet: short numerical answers, answers written as expressions, multiple choice, and constructed-response items where you must show your method or write a proof. Later items tend to combine topics, so a single problem may require both an equation and a geometric argument.

The Nara Prefectural Board of Education sets the timetable and scoring for each year's selection and publishes them in its official guidelines. Those figures change between years, so check the Board's website and the application documents your school distributes rather than relying on numbers from an older year.

School tests usually check one chapter at a time; this paper samples the whole curriculum and includes unfamiliar contexts. Most items are standard, but the final integrated problems and proofs separate candidates. Aim to secure the routine items completely before chasing the hardest ones.

Public high school selection in Nara is run per year, so a candidate who is not successful generally applies again in a later year as a new applicant, subject to eligibility rules. The Board of Education publishes the current eligibility and application conditions; confirm your own situation with your school.

Start with 数と式 and 方程式, because calculation errors there leak into every other section. Then move to 関数 and 図形, which carry the most marks, and finish with 資料の活用・確率 and proof writing. Integrated problems should come last, once the basics are reliable.

Do a quick first pass and take every item you can solve immediately, leaving the long proof and integrated problems for a second pass. Write intermediate lines even when unsure, since partial credit is often available, and keep a few minutes at the end to recheck signs, units, and whether the question asked for a value or an expression.

Careless calculation slips, answering a different question from the one asked, and giving only a final number when the item requires reasoning. In geometry, missing or unjustified statements in a proof cost points. In functions, forgetting to state the domain or misreading a graph's scale is frequent.

Your junior high textbooks cover the required content; supplement them with your own notes on error types. Past papers are useful for format familiarity, but treat any you find as practice only and check with your school about which materials are appropriate and permitted.

You are close when you can solve standard items from every domain accurately without notes, explain each step of a proof in writing, and finish a full practice paper with time left to check. Track your errors by cause over several weeks; a falling error rate is better evidence than a single good score.