100+ Free Oita Public High School Entrance Examination — Mathematics Practice Questions
Prepare for the Oita Prefectural High School Entrance Examination — Mathematics (大分県公立高等学校入学者選抜学力検査 数学) exam with instant access — no signup required.
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Key Facts: Oita Public High School Entrance Examination — Mathematics Exam
Practise for the Oita Prefectural High School Entrance Exam in Mathematics with 100 four-option questions covering 数と式, 関数, 図形, and 確率・データ, weighted to the official 50-minute, 60-point paper. The official paper contains constructed-response items (計算/証明/作図/求め方記述), so this English-language MCQ bank is a study aid, not a format simulation.
Sample Oita Public High School Entrance Examination — Mathematics Practice Questions
Try these sample questions to test your Oita Public High School Entrance Examination — Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Calculate: 12 + (−7) − (−5).
2Calculate: (−3)² − 8.
3Simplify: −(−2)³.
4Compute: 3/4 + 2/3.
5Compute: 5/6 − 1/4.
6Multiply: (−4/7) × (3/8).
7Compute: 2/3 ÷ 4/9.
8Solve x² − 4x + 1 = 0 using the quadratic formula (解の公式).
9Solve the simultaneous equations: 2x + y = 7, x − y = 2.
10Expand: 3(x − 2) − 2(x + 5).
About the Oita Public High School Entrance Examination — Mathematics Exam
The Oita Prefectural High School Entrance Examination in Mathematics tests lower-secondary graduates on calculation, algebra, functions, geometry and data analysis. In the 令和8年度 (2026) cycle the academic test covers five subjects (国語, 社会, 数学, 理科, 英語), each 50 minutes and 60 points, with mathematics sat from 14:50 to 15:40 on 10 March 2026. The paper is aligned to the MEXT junior-high Course of Study (平成29年 中学校学習指導要領) and tests 知識・技能 plus 思考力・判断力・表現力, with constructed-response items including 計算, 証明, 作図, and 求め方記述.
Assessment
50-minute paper worth 60 points, aligned to the MEXT 数学 Course of Study with constructed-response items including 計算, 証明, 作図, and 求め方記述. It is sat from 14:50 to 15:40 on 10 March 2026. The five academic-test subjects (国語, 社会, 数学, 理科, 英語) each carry 60 points for a maximum of 300 points, and schools choose 3 to 5 subjects. The paper tests 知識・技能 plus 思考力・判断力・表現力.
Time Limit
50 minutes (the 数学 paper is sat 14:50–15:40 on 10 March 2026; the full academic test is held on a single day)
Passing Score
No fixed pass mark. Admission is decided by each school from the up-to-300-point academic test and the report card (調査書, up to 260 points), with the selection ratio set per school from the 調査書:学力検査 weightings allowed by the 令和8年度 実施要項 — most schools use 3:7, 日出総合/芸術緑丘/中津南耶馬溪校 use 4:6, and 久住高原農業 uses 5:5. Some schools apply 傾斜配点 (weighted scoring) to designated subjects. There is no single prefecture-wide pass line.
Exam Fee
2,200 yen for a full-time (全日制) course and 950 yen for a part-time (定時制) course (入学考査料). The correspondence (通信制) course charges no fee. There is no separate 入学料 listed in the current 実施要項. Confirm all figures in the current 実施要項. (Oita Prefectural Board of Education (大分県教育委員会), 高等学校教育課)
Oita Public High School Entrance Examination — Mathematics Exam Content Outline
Numbers & Algebraic Expressions (数と式)
Positive and negative arithmetic, algebraic manipulation, linear and quadratic equations, and simultaneous equations.
Functions & Graphs (関数)
Direct and inverse proportionality, linear functions, the quadratic function y=ax², and rates of change.
Plane & Solid Geometry (図形)
Triangle congruence and similarity, the Pythagorean theorem, circle properties, inscribed angles, and solid-geometry surface area and volume.
Data Analysis & Probability (データの活用と確率)
Probability with dice, cards and coins, relative frequencies, histograms and box plots.
How to Pass the Oita Public High School Entrance Examination — Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark. Admission is decided by each school from the up-to-300-point academic test and the report card (調査書, up to 260 points), with the selection ratio set per school from the 調査書:学力検査 weightings allowed by the 令和8年度 実施要項 — most schools use 3:7, 日出総合/芸術緑丘/中津南耶馬溪校 use 4:6, and 久住高原農業 uses 5:5. Some schools apply 傾斜配点 (weighted scoring) to designated subjects. There is no single prefecture-wide pass line.
- Assessment: 50-minute paper worth 60 points, aligned to the MEXT 数学 Course of Study with constructed-response items including 計算, 証明, 作図, and 求め方記述. It is sat from 14:50 to 15:40 on 10 March 2026. The five academic-test subjects (国語, 社会, 数学, 理科, 英語) each carry 60 points for a maximum of 300 points, and schools choose 3 to 5 subjects. The paper tests 知識・技能 plus 思考力・判断力・表現力.
- Time limit: 50 minutes (the 数学 paper is sat 14:50–15:40 on 10 March 2026; the full academic test is held on a single day)
- Exam fee: 2,200 yen for a full-time (全日制) course and 950 yen for a part-time (定時制) course (入学考査料). The correspondence (通信制) course charges no fee. There is no separate 入学料 listed in the current 実施要項. Confirm all figures in the current 実施要項.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Oita Public High School Entrance Examination — Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is this question bank the same as the real Oita mathematics exam?
No. The official paper is written in Japanese with constructed-response items including 計算, 証明, 作図, and items where the 求め方 (working) must be written out. This bank is an English-language multiple-choice study adaptation of the same syllabus content and cannot replace showing your own mathematical reasoning.
How long is the Oita mathematics paper and what is it worth?
It lasts 50 minutes and is scored out of 60 points, one of five subjects that together total 300 points (each subject 60 points; schools choose 3–5 subjects). Some schools apply 傾斜配点 (weighted scoring) to designated subjects.
How is the selection structured in 2026?
Oita combines the report card (調査書, up to 260 points) with the academic test (学力検査, up to 300 points). The 調査書:学力検査 ratio is set per school — most use 3:7, 日出総合/芸術緑丘/中津南耶馬溪校 use 4:6, and 久住高原農業 uses 5:5. Selection routes include 推薦入試(A/B), 連携型入試, 帰国・外国人生徒特別入試, 一次入試(第一/第二志願), 二次入試, and 特例選抜.
When was the 2026 paper sat?
The 令和8年度 学力検査 was held on 10 March 2026, with the 数学 paper scheduled 14:50–15:40, and 合格発表 on 13 March 2026.
How much is the examination fee?
The 入学考査料 is 2,200 yen for a full-time (全日制) course and 950 yen for a part-time (定時制) course. The correspondence (通信制) course charges no fee. There is no separate 入学料 listed in the current 実施要項.
What is 傾斜配点 and does it affect mathematics?
傾斜配点 is weighted scoring: a school may double the weighting of one or more designated subjects, so the subject's contribution to the selection score rises above its base 60 points. Check whether your target school applies 傾斜配点 to mathematics, since this changes how much each extra mathematics mark is worth.