100+ Free Saga Public High School Entrance Examination — Mathematics Practice Questions
Prepare for the Saga Prefectural Public High School Entrance Examination — Mathematics (佐賀県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: Saga Public High School Entrance Examination — Mathematics Exam
Practise for the Saga Prefectural Public 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, 50-point paper sat on 4 March 2026. 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 Saga Public High School Entrance Examination — Mathematics Practice Questions
Try these sample questions to test your Saga 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.
1Evaluate (-3) + 5 - (-2).
2Compute (-2)³ × (-3)².
3Simplify 3/4 - 1/6 + 2/3.
4Compute 2/3 ÷ 4/5.
5Which of the following is the value of √72 - √50 + √18?
6Simplify √27 + √12 - √48.
7Which number is rational?
8Expand (x + 3)(x - 5).
9Expand (2x - 3)².
10Factor x² - 7x + 12.
About the Saga Public High School Entrance Examination — Mathematics Exam
The Saga Prefectural Public 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 general academic test (一般選抜 学力検査) covers five subjects (国語, 社会, 数学, 理科, 英語), each worth 50 points (total 250), sat over two days on 3 March 2026 (1st 国語, 2nd 理科, 3rd 英語) and 4 March 2026 (1st 社会, 2nd 数学), with 合格発表 on 11 March 2026 at 09:00. 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 数学編) 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. Saga uses a single common paper per subject (no ability tiers); all prefectural schools use the board-set paper, and no school sets a self-made mathematics paper. Schools may optionally add a 15-minute/15-point 追加問題 and/or apply 傾斜配点 (佐賀西 weights 国・数・英 ×1.5 to 325 points; 致遠館理数科 weights 数・理 ×1.5 to 300 points). Selection uses two methods on the same test — 選考Ⅰ (調査書 weighted, 学力検査 40–80%) and 選考Ⅱ (学力検査 ~70%, 250 + 100 = 350); 選考Ⅰ takes 10–50% of seats and 選考Ⅱ the remainder. The 調査書 (内申) records 中1・中2・中3, 9教科 × 5段階 = 135 points. The school district is 県全域 (prefecture-wide; 普通科 since 令和5年度). There is no single prefecture-wide pass line.
Assessment
50-minute paper worth 50 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 in the 2nd period on 4 March 2026. The five academic-test subjects (国語, 社会, 数学, 理科, 英語) each carry 50 points for a maximum of 250 points. The paper tests 知識・技能 plus 思考力・判断力・表現力. Saga uses a single common paper per subject; some schools add a 15-minute 追加問題 (15 points) or apply 傾斜配点.
Time Limit
50 minutes. The 数学 paper is sat in the 2nd period on 4 March 2026 (Day 2); the full academic test spans two days — Day 1 (3 Mar): 1st 国語, 2nd 理科, 3rd 英語; Day 2 (4 Mar): 1st 社会, 2nd 数学.
Passing Score
No fixed pass mark. Admission is decided by each school through two selection methods applied to the same test: 選考Ⅰ (report-card 調査書 weighted, 学力検査 ratio 40–80% as set by the school) and 選考Ⅱ (test-weighted, 学力検査 about 70%, typically 250 + 調査書・面接 100 = 350 points). 選考Ⅰ takes 10–50% of seats (school-set); 選考Ⅱ takes the rest. The 調査書 (内申) records 中1・中2・中3, 9教科 × 5段階評定 = 135 points. Some schools add 追加問題 (15 points) or 傾斜配点 (e.g. 佐賀西 国・数・英 ×1.5; 致遠館理数科 数・理 ×1.5). There is no single prefecture-wide pass line.
Exam Fee
入学者選抜手数料 (entrance examination fee) for a Saga prefectural public high school is ¥2,100 for the 全日制 (full-time) course, ¥900 for the 定時制 (part-time) course and ¥50 for the 通信制 (correspondence) course. A separate 入学手数料 (admission fee) is ¥5,550 (全日制) or ¥2,050 (定時制). It is paid once for the whole five-subject 学力検査, not per subject paper. Source: 令和8年度佐賀県立高等学校入学者選抜実施要項 and 佐賀県立学校授業料等徴収条例 別表. (Saga Prefectural Board of Education (佐賀県教育委員会) — 教育庁学校教育課 高校教育担当 (直通 0952-25-7227))
Saga Public High School Entrance Examination — Mathematics Exam Content Outline
Numbers & Algebraic Expressions (数と式)
Signed arithmetic, fractions, square roots, algebraic manipulation, linear and simultaneous equations, quadratic equations, and word-problem set-up.
Functions (関数)
Direct and inverse proportionality, linear functions y=ax+b and their graphs, the quadratic function y=ax² and the parabola, and reading information from graphs.
Geometry (図形)
Parallel-line properties, triangle congruence and similarity, the Pythagorean theorem, circle inscribed angles and tangent lines, polygons, and solid volume and surface area.
Data Analysis & Probability (資料の活用と確率)
Histograms and box plots, mean/median/mode/range, sample surveys, and probability with dice, coins, marbles and cards including tree diagrams and two-trial events.
How to Pass the Saga Public High School Entrance Examination — Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark. Admission is decided by each school through two selection methods applied to the same test: 選考Ⅰ (report-card 調査書 weighted, 学力検査 ratio 40–80% as set by the school) and 選考Ⅱ (test-weighted, 学力検査 about 70%, typically 250 + 調査書・面接 100 = 350 points). 選考Ⅰ takes 10–50% of seats (school-set); 選考Ⅱ takes the rest. The 調査書 (内申) records 中1・中2・中3, 9教科 × 5段階評定 = 135 points. Some schools add 追加問題 (15 points) or 傾斜配点 (e.g. 佐賀西 国・数・英 ×1.5; 致遠館理数科 数・理 ×1.5). There is no single prefecture-wide pass line.
- Assessment: 50-minute paper worth 50 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 in the 2nd period on 4 March 2026. The five academic-test subjects (国語, 社会, 数学, 理科, 英語) each carry 50 points for a maximum of 250 points. The paper tests 知識・技能 plus 思考力・判断力・表現力. Saga uses a single common paper per subject; some schools add a 15-minute 追加問題 (15 points) or apply 傾斜配点.
- Time limit: 50 minutes. The 数学 paper is sat in the 2nd period on 4 March 2026 (Day 2); the full academic test spans two days — Day 1 (3 Mar): 1st 国語, 2nd 理科, 3rd 英語; Day 2 (4 Mar): 1st 社会, 2nd 数学.
- Exam fee: 入学者選抜手数料 (entrance examination fee) for a Saga prefectural public high school is ¥2,100 for the 全日制 (full-time) course, ¥900 for the 定時制 (part-time) course and ¥50 for the 通信制 (correspondence) course. A separate 入学手数料 (admission fee) is ¥5,550 (全日制) or ¥2,050 (定時制). It is paid once for the whole five-subject 学力検査, not per subject paper. Source: 令和8年度佐賀県立高等学校入学者選抜実施要項 and 佐賀県立学校授業料等徴収条例 別表.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Saga Public High School Entrance Examination — Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is this question bank the same as the real Saga mathematics exam?
No. The official paper is written in Japanese with constructed-response items including 計算, 証明, 作図, and 求め方記述. This bank is an English-language multiple-choice study adaptation of the same syllabus content and cannot replace writing out your own proofs and working under the timed conditions.
How long is the Saga mathematics paper and what is it worth?
It lasts 50 minutes and is scored out of 50 points, one of five subjects that together total 250 points (each subject 50 points). 数学 is sat in the 2nd period on 4 March 2026 (Day 2). Some schools add a 15-minute 追加問題 paper worth 15 points.
How is the selection structured in 2026?
Saga applies two selection methods to the same test: 選考Ⅰ (report-card 調査書 weighted, 学力検査 ratio 40–80% set by the school) and 選考Ⅱ (test-weighted, 学力検査 about 70%, typically 250 + 調査書・面接 100 = 350). 選考Ⅰ takes 10–50% of seats and 選考Ⅱ the remainder. The 調査書 (内申) records 中1・中2・中3, 9教科 × 5段階 = 135 points. There is no prefecture-wide pass line.
Do any schools weight mathematics differently?
Yes. 佐賀西高等学校 weights 国語・数学・英語 ×1.5 (325-point test), and 致遠館高等学校 理数科 weights 数学・理科 ×1.5 (300-point test). Some schools also add a 15-minute/15-point 追加問題 in mathematics. These are school options on the common board-set paper.
How much is the examination fee?
The 入学者選抜手数料 (entrance examination fee) for a Saga prefectural public high school is ¥2,100 for 全日制, ¥900 for 定時制 and ¥50 for 通信制. A separate 入学手数料 (¥5,550 full-time) is due after acceptance. It is paid once for the whole five-subject 学力検査, not per subject paper.
When was the 2026 paper sat and when were results announced?
The 令和8年度 学力検査 (一般選抜) was held over two days — 3 March 2026 (1st 国語, 2nd 理科, 3rd 英語) and 4 March 2026 (1st 社会, 2nd 数学) — with 合格発表 on 11 March 2026 at 09:00.