100+ Free Fukuoka Entrance Mathematics Practice Questions
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Key Facts: Fukuoka Entrance Mathematics Exam
50 min / 60 points
Length and maximum score of the Fukuoka mathematics paper
Fukuoka Prefectural Board of Education Reiwa 8 admissions guidelines
5 subjects / 300 points
Five-subject academic examination total, combined with the 45-point chousasho for admission
Fukuoka Prefectural Board of Education Reiwa 8 admissions guidelines
Mar 10, 2026
Reiwa 8 academic examination date (all five subjects, one day, identical problems prefecture-wide)
Fukuoka Prefectural Board of Education Reiwa 8 admissions guidelines
JPY 2,100
Entrance selection fee, paid via the Web application system
Fukuoka Prefectural Board of Education Reiwa 8 admissions guidelines
100
Free original calculation practice questions in this bank
OpenExamPrep
The Fukuoka public high school entrance mathematics paper is a 50-minute, 60-point written exam set by the Fukuoka Prefectural Board of Education, administered March 10, 2026 with identical problems across the prefecture. This page offers 100 original English-language MCQ calculation practice questions with full explanations as a study adaptation, not an official-format simulation.
Sample Fukuoka Entrance Mathematics Practice Questions
Try these sample questions to test your Fukuoka 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 (-6) + (+13) - (-5).
2Calculate the value of (-4)² × 3 - 20 ÷ (-5).
3Calculate 2/3 - 3/5.
4Evaluate the expression 3a - 2b when a = 5 and b = -2.
5Simplify the expression 4(x - 2y) - 3(x - 5y).
6Solve the equation 4x + 3 = 2x - 9.
7Solve the equation 0.3x - 1.2 = 0.9.
8Simplify √48, writing it in the form a√b with b as small as possible.
9Calculate √3 × √27.
10Solve the equation x² = 36.
About the Fukuoka Entrance Mathematics Exam
The Fukuoka Public High School Entrance Examination mathematics paper is one of five subject papers in the prefecture-wide academic examination set by the Fukuoka Prefectural Board of Education. The 50-minute, 60-point written exam covers numbers and expressions, 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; it is not an official translation, a format simulation, or a substitute for the official written constructed-response work that the real paper requires.
Assessment
In the Reiwa 8 (2026) general selection, all five academic subjects were examined on a single day, March 10, 2026, with identical problems used across the prefecture: Japanese 50 min/60 pts (including a condition-based composition task), Mathematics 50 min/60 pts, Social Studies 50 min/60 pts, Science 50 min/60 pts, and English 55 min/60 pts (about 15 minutes of listening plus 40 minutes written), totaling 300 points. Admission combines the 300-point exam with the 45-point junior-high report (chousasho) using an A-group/B-group ranking method; some courses apply weighted scoring (English x1.5 for English courses; mathematics and science x1.5 for science-math courses). Applications were submitted February 9-20, 2026 (noon) through the new Web application system, school-preference changes were accepted February 24-27 (noon), and results were announced March 19, 2026 at 9:00 via the Web system. For Reiwa 9 (2027), the academic examination is scheduled for March 9, 2027, with results on March 18, 2027. 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 10, 2026 in the Reiwa 8 general selection; March 9, 2027 scheduled for Reiwa 9)
Passing Score
No single passing score; scored out of 60 points (300 total across 5 subjects); selection combines the five academic subject scores with the 45-point junior-high report (chousasho) via A-group/B-group ranking, with weighted scoring for some courses
Exam Fee
JPY 2,100 entrance selection fee, paid through the Web application system per the Fukuoka Prefectural Board of Education Reiwa 8 (2026) admissions guidelines (Fukuoka Prefectural Board of Education)
Fukuoka Entrance Mathematics Exam Content Outline
Numbers and Expressions
Positive/negative numbers, linear and quadratic equations, simultaneous systems, square roots, and polynomial expansion and factorization.
Functions and Graphs
Direct and inverse proportion, linear functions y=ax+b, quadratic functions y=ax², rates of change, and intersection coordinates.
Plane Geometry
Angles, parallel lines, triangle congruence and similarity, circle properties, and Pythagorean applications.
Solid Figures and Measurement
Prisms, cylinders, cones, and spheres: surface area, volume, diagonals, and measurement word problems.
Data Handling and Probability
Relative frequency, mean and median, weighted means, counting outcomes for probability, and sampling estimates.
How to Pass the Fukuoka Entrance Mathematics Exam
What You Need to Know
- Passing score: No single passing score; scored out of 60 points (300 total across 5 subjects); selection combines the five academic subject scores with the 45-point junior-high report (chousasho) via A-group/B-group ranking, with weighted scoring for some courses
- Assessment: In the Reiwa 8 (2026) general selection, all five academic subjects were examined on a single day, March 10, 2026, with identical problems used across the prefecture: Japanese 50 min/60 pts (including a condition-based composition task), Mathematics 50 min/60 pts, Social Studies 50 min/60 pts, Science 50 min/60 pts, and English 55 min/60 pts (about 15 minutes of listening plus 40 minutes written), totaling 300 points. Admission combines the 300-point exam with the 45-point junior-high report (chousasho) using an A-group/B-group ranking method; some courses apply weighted scoring (English x1.5 for English courses; mathematics and science x1.5 for science-math courses). Applications were submitted February 9-20, 2026 (noon) through the new Web application system, school-preference changes were accepted February 24-27 (noon), and results were announced March 19, 2026 at 9:00 via the Web system. For Reiwa 9 (2027), the academic examination is scheduled for March 9, 2027, with results on March 18, 2027. 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 10, 2026 in the Reiwa 8 general selection; March 9, 2027 scheduled for Reiwa 9)
- Exam fee: JPY 2,100 entrance selection fee, paid through the Web application system per the Fukuoka 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
Fukuoka Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the official Fukuoka mathematics paper multiple-choice?
No. The official paper is a written constructed-response examination requiring full mathematical work, administered in Japanese. The MCQs here are an English-language study adaptation for testing concepts and calculation accuracy; they are not an official translation, not a format simulation, and not a substitute for practicing full written solutions.
When is the mathematics examination and how long is it?
In the Reiwa 8 (2026) general selection, all five subjects were examined on one day, March 10, 2026, with identical problems across the prefecture; mathematics is a 50-minute paper scored out of 60 points. For Reiwa 9 (2027), the academic examination is scheduled for March 9, 2027, with results on March 18, 2027.
How is admission decided?
Each high school combines the 300-point five-subject academic examination with the 45-point junior-high report (chousasho) and ranks applicants using an A-group/B-group method. Some courses apply weighted scoring: English counts 1.5 times for English courses, and mathematics and science count 1.5 times for science-math (risuuka) courses. There is no single passing score.
How do I apply and what does it cost?
Reiwa 8 (2026) introduced a new Web application system. General-selection applications were accepted February 9-20, 2026 (until noon), school-preference changes February 24-27 (noon), and results were announced March 19, 2026 at 9:00 through the Web system. The entrance selection fee is JPY 2,100, paid through the Web application system.
How competitive is the Fukuoka general selection?
For Reiwa 8 (2026), full-time prefectural schools received 22,854 final applicants for 22,200 places, an overall ratio of about 1.03 to 1. Individual popular schools and courses can be considerably more competitive, and each school sets its own ranking of the combined exam and chousasho scores.