100+ Free Gunma Entrance Mathematics Practice Questions
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Key Facts: Gunma Entrance Mathematics Exam
50 min / 100 points
Length and maximum score of the Gunma mathematics paper (10:50-11:40, Feb 19, 2026)
Gunma Prefectural Board of Education Reiwa 8 selection guidelines
5 subjects / 500 points
Five-subject academic examination total, combined with the chousasho and interview for admission
Gunma Prefectural Board of Education Reiwa 8 selection guidelines
Feb 19, 2026
Reiwa 8 academic examination date; results announced March 4, 2026 at 10 AM via G-smart
Gunma Prefectural Board of Education Reiwa 8 selection schedule
JPY 2,200
Entrance examination fee (jukenryō), paid via the G-smart WEB application system
Gunma Prefectural Board of Education Reiwa 8 selection guidelines
100
Free original practice questions in this bank
OpenExamPrep
53.3 / 100
Reiwa 8 mathematics examinee average score across all test-takers
Gunma Prefectural Board of Education Reiwa 8 results summary
The Gunma public high school entrance mathematics paper is a 50-minute, 100-point written exam on February 19, 2026, covering algebra, functions, geometry, and data analysis, set by the Gunma Prefectural Board of Education. This page offers 100 original practice questions with explanations as a study aid.
Sample Gunma Entrance Mathematics Practice Questions
Try these sample questions to test your Gunma Entrance Mathematics 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 (-12) + (+7) - (-4).
2Calculate the value of (-4)² + (-3) × 2 - 8 ÷ (-2).
3Calculate 5/8 - 1/6 + 3/4.
4Evaluate the expression 4x - 2y when x = -3 and y = -5.
5Calculate (3/4) ÷ (-5/8).
6Simplify √72 - √50 + √18.
7Matchsticks are laid in a row of squares that share sides: 1 square uses 4 matchsticks, 2 squares use 7, and 3 squares use 10. How many matchsticks are needed to make 20 squares?
8Expand and simplify (2x + 3)(3x - 2) - (x - 1)².
9Expand (2x - 1)(3x + 5).
10Factor 3x² + 10x + 8.
About the Gunma Entrance Mathematics Exam
The Gunma Public High School Entrance Examination mathematics paper is set by the Gunma Prefectural Board of Education. The single 50-minute, 100-point paper, administered at 10:50-11:40 on February 19, 2026 in the Reiwa 8 selection, is a written exam on the MEXT junior-high Course of Study covering numbers and expressions, equations, functions, geometry, and data analysis, with multi-step constructed-response problems. Admission combines the five-subject scores (500 points) with the junior-high report (chousasho) and an interview. 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 Gunma mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects); in the Reiwa 8 (2026) selection it was sat 10:50-11:40 on February 19, 2026, with interviews on February 20 and results announced on March 4, 2026 at 10 AM via G-smart. The paper has five sections (oudai): Oudai 1 is worth 40 points and covers basic calculations across all strands, Oudai 2 is worth 8, Oudai 3 is worth 18, Oudai 4 is worth 17, and Oudai 5 is worth 17. It is set prefecture-wide on the MEXT junior-high Course of Study and is answered in writing, including constructed-response problems that require showing mathematical reasoning. Admission combines the academic test with the junior-high report (chousasho) and an interview, using tokushoku-gata (10-50% weight) and sougou-gata (50-90% weight) assessments, with school-level weighted scoring (keisha haiten) allowed. A follow-up examination (tsuikensa) was held February 26, and a second recruitment (sai boshū) ran applications March 4-9 with interviews March 17 and results March 19. The Reiwa 8 mathematics examinee average was 53.3 out of 100. This local bank is an English-language MCQ study adaptation providing 100 original practice items.
Time Limit
50 minutes for the mathematics subject paper (10:50-11:40 on February 19, 2026 in the Reiwa 8 selection)
Passing Score
No fixed pass mark; scored out of 100 points (500 total across 5 subjects); selection combines academic test results with the junior-high report (chousasho) and an interview, using tokushoku-gata and sougou-gata assessments, with school-level weighted scoring (keisha haiten) allowed
Exam Fee
JPY 2,200 entrance examination fee (jukenryō), paid through the G-smart WEB application system per the Gunma Prefectural Board of Education Reiwa 8 (2026) selection guidelines (Gunma Prefectural Board of Education)
Gunma Entrance Mathematics Exam Content Outline
Numbers and Expressions
Positive and negative numbers, order of operations, algebraic expressions, expansion and factorization, square-root calculations, and exponent rules.
Equations and Inequalities
Linear and simultaneous equations, quadratic equations by factoring and formula, linear inequalities, absolute-value equations, and equation-based word problems.
Functions
Proportional and inverse proportional relationships, linear functions and their graphs, the quadratic function y = ax², rate of change, and graph transformations.
Geometry
Angles and polygons, congruence and similarity, circle theorems (inscribed angle, intersecting chords, tangents), the Pythagorean theorem, and surface area and volume of solids.
Data Analysis and Probability
Mean, median, mode, quartiles and box plots, and probability with dice, coins, cards, and balls drawn with or without replacement.
Utilization and Word Problems
Everyday applications including speed-distance-time, unit pricing, discounts and consumption tax, volume conversions, and average-speed calculations.
How to Pass the Gunma Entrance Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark; scored out of 100 points (500 total across 5 subjects); selection combines academic test results with the junior-high report (chousasho) and an interview, using tokushoku-gata and sougou-gata assessments, with school-level weighted scoring (keisha haiten) allowed
- Assessment: The real Gunma mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects); in the Reiwa 8 (2026) selection it was sat 10:50-11:40 on February 19, 2026, with interviews on February 20 and results announced on March 4, 2026 at 10 AM via G-smart. The paper has five sections (oudai): Oudai 1 is worth 40 points and covers basic calculations across all strands, Oudai 2 is worth 8, Oudai 3 is worth 18, Oudai 4 is worth 17, and Oudai 5 is worth 17. It is set prefecture-wide on the MEXT junior-high Course of Study and is answered in writing, including constructed-response problems that require showing mathematical reasoning. Admission combines the academic test with the junior-high report (chousasho) and an interview, using tokushoku-gata (10-50% weight) and sougou-gata (50-90% weight) assessments, with school-level weighted scoring (keisha haiten) allowed. A follow-up examination (tsuikensa) was held February 26, and a second recruitment (sai boshū) ran applications March 4-9 with interviews March 17 and results March 19. The Reiwa 8 mathematics examinee average was 53.3 out of 100. This local bank is an English-language MCQ study adaptation providing 100 original practice items.
- Time limit: 50 minutes for the mathematics subject paper (10:50-11:40 on February 19, 2026 in the Reiwa 8 selection)
- Exam fee: JPY 2,200 entrance examination fee (jukenryō), paid through the G-smart WEB application system per the Gunma Prefectural Board of Education Reiwa 8 (2026) selection 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
Gunma Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the real Gunma mathematics entrance paper multiple-choice?
No. The official paper is answered in writing, mixing short calculations with multi-step constructed-response problems that require showing reasoning. The MCQs here are an English-language study adaptation — not an official translation or format simulation — so keep practicing full written solutions with working shown.
Are these questions official past exam problems?
No. Although the Gunma Prefectural Board of Education publishes the actual examination problems after each sitting (on its problems page), it does not publish them as a multiple-choice set. This bank is an original English-language MCQ study adaptation aligned to the MEXT junior-high Course of Study.
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 10:50-11:40 on February 19, 2026 in the Reiwa 8 selection. The five subjects total 500 points, and admission combines these scores with the junior-high report (chousasho) and an interview, with some schools applying weighted scoring (keisha haiten) to specific subjects.
What is the Reiwa 8 (2026) application and results schedule?
Applications were accepted January 5-30, 2026 through the G-smart WEB system, with first-choice change windows February 3-4 and February 6-10. The academic examination was held on February 19, 2026, interviews on February 20, a follow-up examination (tsuikensa) on February 26, and results were announced on March 4, 2026 at 10 AM via G-smart. A second recruitment (sai boshū) ran applications March 4-9, with interviews March 17 and results March 19.
What parts of the junior-high mathematics curriculum does the exam cover?
The paper covers the MEXT junior-high mathematics curriculum: numbers and expressions (including expansion, factorization, and square roots), equations and inequalities, functions (linear and y = ax²), geometry (congruence, similarity, circles, the Pythagorean theorem, solids), and data analysis with probability. This bank distributes its 100 items across those strands, with Oudai 1 (40 points) being the broadest basic-skills section.
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 19, 2026. The five-subject, 50-minute, 100-point structure has been stable across recent cycles, but confirm the Reiwa 9 dates and rules on the Gunma Prefectural Board of Education's own page before relying on them.