100+ Free Miyazaki Entrance Mathematics Practice Questions
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Key Facts: Miyazaki Entrance Mathematics Exam
50 min / 100 points
Length and maximum score of the Miyazaki mathematics paper — 50 minutes, 100 points (500 across 5 subjects); sat on Day 2 of the 一般入学者選抜 (社会・数学・面接).
Miyazaki Prefectural Board of Education selection page (公立高等学校入学者選抜)
500 + 調査書 (135 base)
一般入学者選抜 uses the academic test (500) and report card (調査書, 135-point base, 9 教科, 5段階, 中学1–3年); each school chooses its ratio; some apply 傾斜配点 (≤2 subjects, ≤1.5×); no fixed pass mark.
Miyazaki Prefectural Board of Education selection requirements
Day 1 / Day 2
Academic test over two days — Day 1: 国語・理科・英語 (incl. リスニング); Day 2: 社会・数学・面接. Confirm exact dates on the official page.
Miyazaki Prefectural Board of Education selection page
100
Free original practice questions in this bank
OpenExamPrep
The Miyazaki public high school entrance mathematics paper is a 50-minute, 100-point written exam covering algebra, equations, functions, geometry, and probability, set by the Miyazaki Prefectural Board of Education and sat on Day 2 of the 一般入学者選抜 (社会・数学・面接). The academic test (500) combines with the 調査書 (135-point base) under a school-chosen ratio; no fixed pass mark. This page offers 100 original English-language practice questions with explanations as a study aid; MCQs cannot simulate the hand-written calculation, proof, and graphing sections.
Sample Miyazaki Entrance Mathematics Practice Questions
Try these sample questions to test your Miyazaki Entrance 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) × 4 + 12 ÷ (-3)
2Simplify: (1/3) + (1/4) - (1/6)
3Which of the following is the prime factorization of 84?
4A bag contains 3 red balls and 5 white balls. When one ball is drawn, what is the probability that it is red, expressed as a fraction in lowest terms?
5Expand and simplify: 3(x - 2) - 2(x + 4)
6Solve for x: 2x - 5 = 11
7The sum of three consecutive even integers is 48. What is the largest of the three?
8Solve the system: x + y = 12 and x - y = 4. What is x?
9Solve for x: 3(x - 4) ≤ 2x + 5
10A shop sells notebooks for 120 yen each. If you buy 5 or more, each notebook after the 4th is 20% off. How much do 7 notebooks cost in yen?
About the Miyazaki Entrance Mathematics Exam
The Miyazaki Public High School Entrance Selection mathematics paper is created by the Miyazaki Prefectural Board of Education. The single 50-minute, 100-point written paper, sat on Day 2 of the 一般入学者選抜 academic test, covers 数と式, 方程式, 関数, 図形, and 確率, on the 2017 MEXT junior-high Course of Study. The 一般入学者選抜 combines the academic test (500) with the 調査書 (135-point base); each school chooses its ratio, and there is no fixed pass mark. This page provides 100 original English-language practice questions with detailed explanations as a study adaptation — not an official translation, not a reproduction of the official paper, and not a format simulation of the hand-written sections.
Assessment
The real Miyazaki mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects), sat on Day 2 of the 一般入学者選抜 academic test (Day 2: 社会・数学・面接). It is a written, constructed-response paper in Japanese covering 数と式, 方程式, 関数 (linear and quadratic), 図形 (plane and solid geometry, similarity, congruence, circles, Pythagoras), and 確率. Students show calculations, proofs, and graphs by hand. The 一般入学者選抜 combines the academic test (500) with the report card (調査書, 135-point base); each school chooses its own 学力:調査書 ratio, and some schools apply 傾斜配点 (up to 2 subjects, up to 1.5×). There is no fixed pass mark. This local bank is an English-language MCQ study adaptation providing 100 original practice items; MCQs cannot simulate the hand-written calculation, proof, and graphing sections of the real paper.
Time Limit
50 minutes for the mathematics subject paper (Day 2 of the 一般入学者選抜 academic test; confirm the current cycle's exact dates on the official Miyazaki page).
Passing Score
No fixed pass mark; the mathematics paper is scored out of 100 points (500 total across 5 subjects). The 一般入学者選抜 combines the academic test (500) with the report card (調査書, 135-point base). Each school chooses its own 学力:調査書 ratio. Some schools apply 傾斜配点 (up to 2 subjects, up to 1.5×). Selection is by rank order within each school's quota; there is no single prefecture-wide pass line.
Exam Fee
2,200 yen for the full-time course (全日制) and 950 yen for the part-time course (定時制), paid in Miyazaki Prefecture revenue stamps (宮崎県収入証紙) affixed to the selection-fee payment slip. The fee is not refunded once the application is submitted. Applicants to a part-time course who have already applied to a prefectural high school may be exempted on completing the prescribed procedure. (Miyazaki Prefectural Board of Education (宮崎県教育委員会))
Miyazaki Entrance Mathematics Exam Content Outline
Numbers, Expressions, and Equations
Integers, factoring, expansion, square roots, simultaneous equations, quadratic equations, and applied word problems.
Functions
Linear functions, proportion/inverse proportion, quadratic functions (parabolas, vertex, axis of symmetry), and applied graphs.
Geometry (図形)
Plane figures, triangles and quadrilaterals, similarity and congruence, circles (inscribed angles, tangents), Pythagoras, and solid figures (volume, surface area).
Probability and Data
Probability, counting, sample surveys, histograms, and central-tendency measures.
How to Pass the Miyazaki Entrance Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark; the mathematics paper is scored out of 100 points (500 total across 5 subjects). The 一般入学者選抜 combines the academic test (500) with the report card (調査書, 135-point base). Each school chooses its own 学力:調査書 ratio. Some schools apply 傾斜配点 (up to 2 subjects, up to 1.5×). Selection is by rank order within each school's quota; there is no single prefecture-wide pass line.
- Assessment: The real Miyazaki mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects), sat on Day 2 of the 一般入学者選抜 academic test (Day 2: 社会・数学・面接). It is a written, constructed-response paper in Japanese covering 数と式, 方程式, 関数 (linear and quadratic), 図形 (plane and solid geometry, similarity, congruence, circles, Pythagoras), and 確率. Students show calculations, proofs, and graphs by hand. The 一般入学者選抜 combines the academic test (500) with the report card (調査書, 135-point base); each school chooses its own 学力:調査書 ratio, and some schools apply 傾斜配点 (up to 2 subjects, up to 1.5×). There is no fixed pass mark. This local bank is an English-language MCQ study adaptation providing 100 original practice items; MCQs cannot simulate the hand-written calculation, proof, and graphing sections of the real paper.
- Time limit: 50 minutes for the mathematics subject paper (Day 2 of the 一般入学者選抜 academic test; confirm the current cycle's exact dates on the official Miyazaki page).
- Exam fee: 2,200 yen for the full-time course (全日制) and 950 yen for the part-time course (定時制), paid in Miyazaki Prefecture revenue stamps (宮崎県収入証紙) affixed to the selection-fee payment slip. The fee is not refunded once the application is submitted. Applicants to a part-time course who have already applied to a prefectural high school may be exempted on completing the prescribed procedure.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Miyazaki Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the real Miyazaki mathematics paper a multiple-choice test?
No — the real paper is a written, constructed-response exam in Japanese that requires hand-written calculations, proofs, and graphs. This 100-question bank is an original English-language MCQ study adaptation aligned to the 2017 MEXT junior-high Course of Study, not a reproduction or format simulation of the official paper.
Are these questions official past exam problems?
No. This bank is an original English-language MCQ study adaptation aligned to the 2017 MEXT junior-high Course of Study, covering algebra, equations, functions, geometry, and probability — not an official translation or format simulation.
How long is the mathematics paper and what is the maximum score?
The mathematics paper is a single 50-minute exam scored out of 100 points, sat as one of five academic-test subjects totaling 500 points on Day 2 of the 一般入学者選抜 (社会・数学・面接).
How are the academic test and report card combined in Miyazaki's 一般入学者選抜?
Miyazaki's 一般入学者選抜 uses the academic test (500 points) and the report card (調査書, 135-point base across 9 教科, 5段階, 中学1–3年). Each school chooses its own 学力:調査書 ratio. Some schools apply 傾斜配点 (up to 2 subjects, up to 1.5×). Selection is by rank order within each school's quota; there is no single prefecture-wide pass line.
How much is the Miyazaki entrance selection fee?
Yes. The official 実施要綱 sets the entrance selection fee at 2,200 yen for the full-time course (全日制) and 950 yen for the part-time course (定時制), paid in Miyazaki Prefecture revenue stamps (宮崎県収入証紙). It is not refunded if the application is withdrawn. This is a selection fee only and is separate from tuition.
Can MCQs simulate the hand-written sections of the real paper?
No. The real paper requires hand-written calculations, proofs, and graphs. Four-option MCQs cannot reproduce those tasks. This bank instead offers algebra, function, geometry, and probability items to help prepare for those sections.