100+ Free Hiroshima Entrance Math Practice Questions
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Key Facts: Hiroshima Entrance Math Exam
50 min / 50 points
Length and maximum score of the Hiroshima mathematics paper (held February 25, 2026)
Hiroshima Prefectural Board of Education Reiwa 8 selection implementation guidelines
5 subjects / 250 points
Five-subject academic examination total, combined with the 225-point chōsasho and self-expression interview in a 6:2:2 ratio
Hiroshima Prefectural Board of Education Reiwa 8 selection implementation guidelines
Feb 25, 2026
Reiwa 8 academic examination date; results announced March 9, 2026
Hiroshima Prefectural Board of Education Reiwa 8 selection schedule
JPY 2,200
Entrance selection fee, paid via the internet application system by noon on February 18, 2026
Hiroshima Prefectural Board of Education Reiwa 8 selection implementation guidelines
6:2:2
General-quota weighting of academic test, report card, and self-expression; up to 50% of seats may use the tokushoku-waku
Hiroshima Prefectural Board of Education Reiwa 8 selection implementation guidelines
100
Free original practice questions in this bank
OpenExamPrep
The Hiroshima public high school entrance mathematics paper is a 50-minute, 50-point written exam held on February 25, 2026, covering algebra, functions, geometry, and probability, set by the Hiroshima Prefectural Board of Education. This page offers 100 original practice questions with explanations as a study aid.
Sample Hiroshima Entrance Math Practice Questions
Try these sample questions to test your Hiroshima 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 (-7) + (+3) - (-5).
2Calculate the value of (-3)² - 4 × (-2) + 10 ÷ 5.
3Calculate 2/3 - 5/6 + 3/4.
4Evaluate the expression 3a - 2b when a = -2 and b = 4.
5Calculate (-3/4) ÷ (9/8).
6Simplify √48 + √27 - √12.
7Expand (x - 4)(x + 7).
8Factorize x² + 7x + 12.
9Simplify 2(3x - 2) - (4x - 7).
10Tiles are arranged in a cross pattern: the 1st figure uses 5 tiles, and each new figure adds 4 tiles, so the 2nd uses 9 and the 3rd uses 13. How many tiles does the 25th figure use?
About the Hiroshima Entrance Math Exam
The Hiroshima Prefectural Public High School Entrance Examination mathematics paper is created by the Hiroshima Prefectural Board of Education. The single 50-minute, 50-point paper, sat on February 25, 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 (250 points) with the junior-high report card and a self-expression interview, weighted 6:2:2 in the general quota. 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 Hiroshima mathematics examination is a 50-minute paper scored out of 50 points (250 total across five subjects: kokugo, social studies, mathematics, science, and English incl. a broadcast listening test); in the Reiwa 8 (2026) selection it was sat on February 25, 2026, with self-expression interviews on February 26 or 27 and selection results announced on March 9, 2026. The paper is created by the Hiroshima 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 225-point junior-high report card (chōsasho) and the self-expression interview (jiko-hyōgen, up to 10 minutes, 15 points per examiner with 2-3 examiners): the general quota (ippan-waku) weights academic test, report card, and self-expression 6:2:2, while a special-characteristics quota (tokushoku-waku) of up to 50% of seats lets the school set its own weights, and weighted scoring (keisha haiten) on specific subjects is permitted. A supplementary examination (tsui-kensa) was held March 4, 2026, and a second selection (niji senbatsu), based on the report card and self-expression without an academic test, 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 February 25, 2026 in the Reiwa 8 selection)
Passing Score
No fixed pass mark; scored out of 50 points (250 total across 5 subjects); selection combines the academic test, the 225-point chōsasho, and the self-expression interview in a 6:2:2 ratio for the general quota, with a tokushoku-waku of up to 50% of seats using school-set weights and optional keisha haiten subject weighting
Exam Fee
JPY 2,200 entrance selection fee (nyūgakusha senbatsu-ryō), paid through the internet application system per the Hiroshima Prefectural Board of Education Reiwa 8 (2026) selection implementation guidelines (Hiroshima Prefectural Board of Education (広島県教育委員会), jointly with the Hiroshima, Kure, Onomichi, and Fukuyama city boards of education)
Hiroshima 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 Hiroshima Entrance Math Exam
What You Need to Know
- Passing score: No fixed pass mark; scored out of 50 points (250 total across 5 subjects); selection combines the academic test, the 225-point chōsasho, and the self-expression interview in a 6:2:2 ratio for the general quota, with a tokushoku-waku of up to 50% of seats using school-set weights and optional keisha haiten subject weighting
- Assessment: The real Hiroshima mathematics examination is a 50-minute paper scored out of 50 points (250 total across five subjects: kokugo, social studies, mathematics, science, and English incl. a broadcast listening test); in the Reiwa 8 (2026) selection it was sat on February 25, 2026, with self-expression interviews on February 26 or 27 and selection results announced on March 9, 2026. The paper is created by the Hiroshima 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 225-point junior-high report card (chōsasho) and the self-expression interview (jiko-hyōgen, up to 10 minutes, 15 points per examiner with 2-3 examiners): the general quota (ippan-waku) weights academic test, report card, and self-expression 6:2:2, while a special-characteristics quota (tokushoku-waku) of up to 50% of seats lets the school set its own weights, and weighted scoring (keisha haiten) on specific subjects is permitted. A supplementary examination (tsui-kensa) was held March 4, 2026, and a second selection (niji senbatsu), based on the report card and self-expression without an academic test, 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 February 25, 2026 in the Reiwa 8 selection)
- Exam fee: JPY 2,200 entrance selection fee (nyūgakusha senbatsu-ryō), paid through the internet application system per the Hiroshima Prefectural Board of Education Reiwa 8 (2026) selection implementation guidelines
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Hiroshima Entrance Math Study Tips from Top Performers
Frequently Asked Questions
Is the real Hiroshima mathematics entrance paper multiple-choice?
No. The official paper requires written constructed responses — calculations with shown work, proofs, and multi-step problem solving. The Hiroshima Prefectural Board of Education publishes the actual problems, answer sheets, and marking criteria 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 Hiroshima 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 50 points, sat on February 25, 2026 in the Reiwa 8 selection. The five subjects total 250 points, and admission combines these scores with the 225-point junior-high report card (chōsasho) and a self-expression interview, weighted 6:2:2 in the general quota; schools may fill up to 50% of seats through a tokushoku-waku and may weight specific subjects such as mathematics (keisha haiten).
What is the Reiwa 8 (2026) application and results schedule?
Applications were accepted January 22 - February 3, 2026 through the internet application system, with school-choice changes February 12-19 and the JPY 2,200 selection fee confirmed by noon on February 18. The academic examination was held on February 25, 2026, self-expression interviews on February 26 or 27, a supplementary examination on March 4, and selection results were announced on March 9, 2026. A second selection (niji senbatsu), with no academic test, 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 February 25, 2026. The five-subject, 50-minute, 50-point structure has been stable across recent cycles, but confirm the Reiwa 9 dates and rules on the Hiroshima Prefectural Board of Education's own pages before relying on them, because application windows, fees, and selection ratios can change.