100+ Free Hokkaido Entrance Math Practice Questions
Prepare for the Hokkaido Public High School Entrance Examination — Mathematics exam with instant access — no signup required.
Loading practice questions...
Explore More Japan Prefectural High School Entrance Exams
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
Key Facts: Hokkaido Entrance Math Exam
50 min / 100 points
Length and maximum score of the Hokkaido mathematics paper (held March 4, 2026)
Hokkaido Prefectural Board of Education Reiwa 8 selection handbook
5 subjects / 500 points
Five-subject academic examination total, combined with the 315-point naishinten report card in selection
Hokkaido Prefectural Board of Education Reiwa 8 selection handbook
Mar 4, 2026
Reiwa 8 academic examination date; results announced March 17, 2026
Hokkaido Prefectural Board of Education Reiwa 8 selection schedule
JPY 2,200
Entrance selection fee, paid with Hokkaido revenue stamps attached to the application form
Hokkaido Prefectural School Ordinance via the Reiwa 8 selection handbook
70 / 15 / 15
Approximate seat shares weighing exam and report card almost equally, emphasizing the exam, and emphasizing the report card
Hokkaido Prefectural Board of Education selection method outline
100
Free original practice questions in this bank
OpenExamPrep
The Hokkaido public high school entrance mathematics paper is a 50-minute, 100-point written exam held on March 4, 2026, covering algebra, functions, geometry, and probability, set by the Hokkaido Prefectural Board of Education. This page offers 100 original practice questions with explanations as a study aid.
Sample Hokkaido Entrance Math Practice Questions
Try these sample questions to test your Hokkaido Entrance Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Calculate the value of (-6) + (+4) - (-3).
2Calculate the value of 5 - 3 × (-2) + (-8) ÷ 2.
3Calculate 3/4 + 5/6 - 1/2.
4Evaluate the expression 2x - 3y when x = 4 and y = -2.
5Simplify the expression 3(2a - b) - 2(a - 3b).
6Expand (x + 3)(x + 5).
7Factor the expression x² - 9.
8Calculate √18 + √8 - √2.
9Rewrite 6/√3 with a rationalized denominator.
10Expand and simplify (x + 4)² - (x - 4)².
About the Hokkaido Entrance Math Exam
The Hokkaido Public High School Entrance Examination mathematics paper is created by the Hokkaido Prefectural Board of Education. The single 50-minute, 100-point paper, sat on March 4, 2026 in the Reiwa 8 selection, is a written exam on the 2017 MEXT junior-high Course of Study, covering numbers and expressions, equations, functions, plane and solid geometry, and probability and data analysis, with constructed-response items requiring shown work. Admission combines the five-subject scores (500 points) with the 315-point junior-high report card and interviews or practical tests where held. This page provides 100 original English-language practice questions with detailed explanations as a study adaptation — not an official translation or a simulation of the official format.
Assessment
The real Hokkaido mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects: kokugo, social studies, mathematics, science, and English including a listening test); in the Reiwa 8 (2026) selection it was sat on March 4, 2026, with interviews and practical tests on March 5 and selection results announced on March 17, 2026. Since Reiwa 4 (2022) all applicants take one unified problem set — the school-discretion problems were abolished and each paper lengthened from 45 to 50 minutes. The paper is created by the Hokkaido Prefectural Board of Education on the 2017 (Heisei 29) MEXT junior-high Course of Study and requires written constructed responses, including calculations, proofs, and multi-step problem solving. Each school admits applicants by combining the academic examination with the 315-point junior-high report card (naishinten, grade-1 and grade-2 totals doubled and the grade-3 total tripled) and interviews or practical tests where held: roughly 70% of seats weigh the exam and report card almost equally, about 15% emphasize the exam, and about 15% emphasize the report card, with weighted subject scoring (keisha haiten) at some schools. A supplementary examination (tsui-kensa) was held March 11, 2026, and a second recruitment (niji boshū) ran in late March. This local bank is an English-language MCQ study adaptation providing 100 original practice items.
Time Limit
50 minutes for the mathematics subject paper (held on March 4, 2026 in the Reiwa 8 selection)
Passing Score
No fixed pass mark; scored out of 100 points (500 total across 5 subjects); selection combines the academic test with the 315-point naishinten report card, weighing them almost equally for roughly 70% of seats, exam-emphasis for about 15%, and report-card-emphasis for about 15%, with optional keisha haiten subject weighting
Exam Fee
JPY 2,200 entrance selection fee, the amount set by the Hokkaido Prefectural School Ordinance, paid with Hokkaido revenue stamps attached to the application form per the Reiwa 8 (2026) selection handbook (Hokkaido Prefectural Board of Education (北海道教育委員会))
Hokkaido Entrance Math Exam Content Outline
Numbers and Expressions
Positive and negative numbers, algebraic expressions, expansion and factorization, square roots, and evaluating expressions.
Equations and Inequalities
Linear equations, simultaneous equations, quadratic equations, linear inequalities, and equation-based word problems.
Functions
Proportional and inverse proportional relationships, linear functions, and quadratic functions y = ax² including rates of change and coordinate geometry.
Plane Geometry
Angles and parallel lines, congruence and similarity, triangles and quadrilaterals, circles, and the Pythagorean theorem.
Solid Geometry and Measurement
Surface areas and volumes of prisms, cylinders, pyramids, cones, and spheres, plus spatial relationships such as skew lines in a cube.
Data Analysis and Probability
Counting outcomes, probability with and without replacement, complement rule, relative frequency, representative values, quartiles, and sampling.
How to Pass the Hokkaido Entrance Math Exam
What You Need to Know
- Passing score: No fixed pass mark; scored out of 100 points (500 total across 5 subjects); selection combines the academic test with the 315-point naishinten report card, weighing them almost equally for roughly 70% of seats, exam-emphasis for about 15%, and report-card-emphasis for about 15%, with optional keisha haiten subject weighting
- Assessment: The real Hokkaido mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects: kokugo, social studies, mathematics, science, and English including a listening test); in the Reiwa 8 (2026) selection it was sat on March 4, 2026, with interviews and practical tests on March 5 and selection results announced on March 17, 2026. Since Reiwa 4 (2022) all applicants take one unified problem set — the school-discretion problems were abolished and each paper lengthened from 45 to 50 minutes. The paper is created by the Hokkaido Prefectural Board of Education on the 2017 (Heisei 29) MEXT junior-high Course of Study and requires written constructed responses, including calculations, proofs, and multi-step problem solving. Each school admits applicants by combining the academic examination with the 315-point junior-high report card (naishinten, grade-1 and grade-2 totals doubled and the grade-3 total tripled) and interviews or practical tests where held: roughly 70% of seats weigh the exam and report card almost equally, about 15% emphasize the exam, and about 15% emphasize the report card, with weighted subject scoring (keisha haiten) at some schools. A supplementary examination (tsui-kensa) was held March 11, 2026, and a second recruitment (niji boshū) ran in late March. This local bank is an English-language MCQ study adaptation providing 100 original practice items.
- Time limit: 50 minutes for the mathematics subject paper (held on March 4, 2026 in the Reiwa 8 selection)
- Exam fee: JPY 2,200 entrance selection fee, the amount set by the Hokkaido Prefectural School Ordinance, paid with Hokkaido revenue stamps attached to the application form per the Reiwa 8 (2026) selection handbook
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Hokkaido Entrance Math Study Tips from Top Performers
Frequently Asked Questions
Is the real Hokkaido mathematics entrance paper multiple-choice?
No. The official paper requires written constructed responses — calculations with shown work, proofs, and multi-step problem solving. The Hokkaido Prefectural Board of Education publishes the actual problems and answers after each sitting, but not as a multiple-choice set. The MCQs here are an English-language study adaptation — not an official translation or format simulation — so keep practicing full written solutions separately.
Are these questions official past exam problems?
No. Although the Hokkaido Prefectural Board of Education publishes the actual examination problems after each sitting, it does not publish them as a multiple-choice set. This bank is an original English-language MCQ study adaptation aligned to the 2017 MEXT junior-high Course of Study, with genuine worked-calculation items across numbers and expressions, equations, functions, geometry, and probability.
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 on March 4, 2026 in the Reiwa 8 selection. The five subjects total 500 points, and admission combines these scores with the 315-point junior-high report card (naishinten) and interviews or practical tests where held; roughly 70% of seats weigh the exam and report card almost equally, about 15% emphasize the exam, and about 15% emphasize the report card.
What is the Reiwa 8 (2026) application and results schedule?
Applications were accepted January 19-22, 2026, with school-choice changes January 27 - February 2 and the JPY 2,200 selection fee paid with Hokkaido revenue stamps. The academic examination was held on March 4, 2026, interviews and practical tests on March 5, a supplementary examination on March 11, and selection results were announced on March 17, 2026. A second recruitment (niji boshū) ran in late March.
What parts of the junior-high mathematics curriculum does the exam cover?
The paper covers the 2017 MEXT junior-high mathematics curriculum: numbers and expressions (including square roots), linear/simultaneous/quadratic equations and inequalities, proportional/linear/quadratic functions, plane geometry with proofs and the Pythagorean theorem, solid geometry and measurement, and data analysis with probability. This bank distributes its 100 items across those six strands.
Do these details apply to the next (Reiwa 9 / 2027) entrance examination?
The figures on this page describe the Reiwa 8 cycle, whose academic examination was sat on March 4, 2026. The five-subject, 50-minute, 100-point structure has been stable since Reiwa 4 (2022), but confirm the Reiwa 9 dates and rules on the Hokkaido Prefectural Board of Education's own pages before relying on them, because application windows, fees, and selection ratios can change.