100+ Free Fukushima Entrance Mathematics Practice Questions
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Key Facts: Fukushima Entrance Mathematics Exam
50 min / 50 points
Length and maximum score of the Fukushima mathematics paper
Fukushima Prefectural Board of Education Reiwa 8 admissions guidelines
5 subjects / 250 points
Five-subject academic examination total, combined with the chousasho for admission
Fukushima Prefectural Board of Education Reiwa 8 admissions guidelines
Mar 4, 2026
Academic examination date in the Reiwa 8 selection
Fukushima Prefectural Board of Education Reiwa 8 admissions guidelines
JPY 2,200
Entrance examination fee
Fukushima Prefectural Board of Education Reiwa 8 admissions guidelines
100
Free original calculation practice questions in this bank
OpenExamPrep
The Fukushima public high school entrance mathematics paper is a 50-minute, 50-point written exam set by the Fukushima Prefectural Board of Education on March 4, 2026, one of five subjects totaling 250 points and combined with the chousasho for admission. This page offers 100 original English-language MCQ calculation practice questions with full explanations as a study adaptation.
Sample Fukushima Entrance Mathematics Practice Questions
Try these sample questions to test your Fukushima 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 (-7) + (+12) - (-5).
2Calculate the value of (-4)² × (-3) + 18 ÷ (-6).
3Calculate 5/6 - 3/4.
4Evaluate the expression 4a - 5b when a = 3 and b = -2.
5Calculate (2/3) ÷ (-4/5) + 1/6.
6Simplify the expression 3(2x - 4) - 2(x - 5).
7Simplify 18x³y² ÷ (-3xy²).
8Expand (x + 3)(x - 7).
9Expand (2x - 3)².
10Factorize x² + 5x - 14.
About the Fukushima Entrance Mathematics Exam
The Fukushima Public High School Entrance Examination mathematics paper is one of five subject papers in the prefecture-wide academic examination set by the Fukushima Prefectural Board of Education. The 50-minute, 50-point exam covers numbers and expressions, equations, linear and quadratic functions, plane geometry, solid figures and measurement, and data handling with probability. This page provides 100 original English-language practice items with step-by-step worked solutions as a study adaptation; the official paper requires full written mathematical reasoning, which MCQ practice does not replace.
Assessment
In the Reiwa 8 (2026) selection, the academic examination is one of five 50-minute subject papers (kokugo, shakai, suugaku, rika, and English with a broadcast listening section), each scored out of 50 points for a 250-point total, all held on March 4, 2026. Applications are submitted February 2–6, 2026 through a newly introduced WEB application system; interviews run March 4–6, 2026; results are announced via the web system on March 16, 2026 (viewable until March 24). The general selection weights the academic test and the chousasho equally in principle, and schools may apply weighted scoring to specific subjects; attendance records are not used for Reiwa 8. A late selection at under-filled schools (application March 17–18, interview March 24, results March 25, 2026) uses only the chousasho, an interview, and a short essay, with no academic test. This local bank is an English-language study adaptation offering 100 original worked calculation problems.
Time Limit
50 minutes for the mathematics subject paper (March 4, 2026 in the Reiwa 8 early selection (zenki senbatsu))
Passing Score
No fixed pass mark; scored out of 50 points per subject (250 total across 5 subjects); selection combines the academic scores with the junior-high report (chousasho), weighted equally in principle in the general-selection track (ippan senbatsu), with optional per-subject weighting by school
Exam Fee
JPY 2,200 entrance examination fee per the Fukushima Prefectural Board of Education Reiwa 8 (2026) admissions guidelines (Fukushima Prefectural Board of Education)
Fukushima Entrance Mathematics Exam Content Outline
Numbers and Expressions
Signed numbers, algebraic expressions, expansion and factorization, square roots and rationalization, prime factorization, and scientific notation.
Equations
Linear equations, simultaneous systems, quadratic equations by factoring, square roots, and the formula, plus applied word problems.
Functions and Graphs
Direct and inverse proportion, linear functions y=ax+b, quadratic functions y=ax², rates of change, domains, and intersection coordinates.
Plane Geometry
Angles, parallel lines, polygons, congruence and similarity, circle theorems, tangents, and Pythagorean applications.
Solid Figures and Measurement
Prisms, cylinders, cones, pyramids, and spheres: surface area, volume, and net-based problems.
Data Handling and Probability
Relative frequency, mean and median, quartiles, counting outcomes for probability, complementary events, and sampling estimates.
How to Pass the Fukushima Entrance Mathematics Exam
What You Need to Know
- Passing score: No fixed pass mark; scored out of 50 points per subject (250 total across 5 subjects); selection combines the academic scores with the junior-high report (chousasho), weighted equally in principle in the general-selection track (ippan senbatsu), with optional per-subject weighting by school
- Assessment: In the Reiwa 8 (2026) selection, the academic examination is one of five 50-minute subject papers (kokugo, shakai, suugaku, rika, and English with a broadcast listening section), each scored out of 50 points for a 250-point total, all held on March 4, 2026. Applications are submitted February 2–6, 2026 through a newly introduced WEB application system; interviews run March 4–6, 2026; results are announced via the web system on March 16, 2026 (viewable until March 24). The general selection weights the academic test and the chousasho equally in principle, and schools may apply weighted scoring to specific subjects; attendance records are not used for Reiwa 8. A late selection at under-filled schools (application March 17–18, interview March 24, results March 25, 2026) uses only the chousasho, an interview, and a short essay, with no academic test. This local bank is an English-language study adaptation offering 100 original worked calculation problems.
- Time limit: 50 minutes for the mathematics subject paper (March 4, 2026 in the Reiwa 8 early selection (zenki senbatsu))
- Exam fee: JPY 2,200 entrance examination fee per the Fukushima Prefectural Board of Education Reiwa 8 (2026) admissions 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
Fukushima Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the official Fukushima mathematics paper multiple-choice?
No. The official paper is a constructed-response examination requiring written mathematical work, with an emphasis on basic and fundamental mastery plus questions that test written thinking. The MCQs here are an English-language study aid for testing concepts and calculation accuracy; they do not replace practicing full written solutions.
How long is the mathematics exam and what is the maximum score?
The mathematics paper lasts 50 minutes and is scored out of 50 points. Across all five subjects the academic examination totals 250 points, and admission combines these scores with the junior-high report (chousasho) — weighted equally in principle in the general-selection track (ippan senbatsu), though schools may apply weighted scoring to specific subjects.
When is the Reiwa 8 (2026) mathematics examination?
The academic examination, including mathematics, is held on March 4, 2026. Applications are submitted February 2–6, 2026 through the new WEB application system, interviews run March 4–6, 2026, and results are announced via the web system on March 16, 2026 (viewable until March 24).
What happens in the late selection (kouki senbatsu)?
The late selection is held only at schools that remain under-filled after the main selection. It uses no academic test: applicants are evaluated on the chousasho (junior-high report), an interview, and a short essay. For Reiwa 8, applications are March 17–18, 2026, the interview is March 24, and results are announced March 25, 2026.
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 Fukushima Prefectural Board of Education published its Reiwa 9 (2027 entry) school-by-school selection-method list on July 14, 2026 and has scheduled the full Reiwa 9 implementation guidelines for early October 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 board's own page before relying on them.