PracticeVideosBlogFlashcardsEspañol
All Practice Exams

Free Practice Questions for Fukui Entrance Mathematics

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
100+ Questions
100% Free

Loading practice questions...

Same family resources

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.

Toyama Prefectural Public High School Entrance Examination — Science

Practice Questions

Yamagata Prefectural Public High School Entrance Examination — Social Studies

Practice Questions

Toyama Prefectural Public High School Entrance Examination — Social Studies

Practice Questions

Osaka Prefectural Public High School Entrance Examination — Science

Practice Questions

Nagasaki Public High School Entrance Examination — Japanese (Kokugo)

Practice Questions

Toyama Prefectural Public High School Entrance Examination — Mathematics

Practice Questions
Exam Review

Key Facts: Fukui Entrance Mathematics Exam

60 min / 100 points

Length and maximum score of the Fukui mathematics paper

Fukui Prefectural Board of Education Reiwa 8 admissions guidelines

5 subjects / 500 points

Five-subject academic examination total, combined with the chousasho for admission

Fukui Prefectural Board of Education Reiwa 8 admissions guidelines

Feb 18, 2026

Mathematics examination date (day 1 of the general selection)

Fukui Prefectural Board of Education Reiwa 8 admissions guidelines

JPY 2,200

Entrance examination fee

Fukui Prefectural Board of Education Reiwa 8 admissions guidelines

100

Free original calculation practice questions in this bank

OpenExamPrep

The Fukui public high school entrance mathematics paper is a 60-minute, 100-point written exam set by the Fukui Prefectural Board of Education on February 18, 2026, with 4–6 large constructed-response questions and 1–2 school-selected A/B choice problems. This page offers 100 original English-language MCQ calculation practice questions with full explanations as a study adaptation.

Sample Fukui Entrance Mathematics Practice Questions

Try these sample questions to review concepts for the Fukui Entrance Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Calculate the value of (-8) + (+15) - (-4).
A.11
B.3
C.-11
D.27
Explanation: Subtracting a negative number becomes addition, so -(-4) = +4. The expression becomes -8 + 15 + 4. Computing from the left: -8 + 15 = 7, then 7 + 4 = 11.
2Calculate the value of (-5)² × (-2) + 24 ÷ (-6).
A.-54
B.46
C.54
D.-46
Explanation: Follow the order of operations. First (-5)² = 25, then 25 × (-2) = -50, and 24 ÷ (-6) = -4. Finally, -50 + (-4) = -54.
3Calculate 3/4 - 5/6.
A.-1/12
B.1/12
C.-1/2
D.19/12
Explanation: Use the common denominator 12: 3/4 = 9/12 and 5/6 = 10/12. Then 9/12 - 10/12 = -1/12. The result is negative because 10/12 is larger than 9/12.
4Calculate 2/3 ÷ (-4/9) + 1/2.
A.-1
B.-2
C.2
D.0
Explanation: Division comes first: 2/3 ÷ (-4/9) = 2/3 × (-9/4) = -18/12 = -3/2. Then add: -3/2 + 1/2 = -2/2 = -1.
5Evaluate the expression 2x - 3y when x = 4 and y = -1.
A.11
B.5
C.2
D.-11
Explanation: Substitute the values: 2(4) - 3(-1) = 8 - (-3). Subtracting a negative becomes addition, so 8 + 3 = 11.
6Simplify the expression 3(2a - b) - 2(a - 4b).
A.4a + 5b
B.4a - 11b
C.8a + 5b
D.4a - 5b
Explanation: Distribute: 3(2a - b) = 6a - 3b and -2(a - 4b) = -2a + 8b. Combine like terms: (6a - 2a) + (-3b + 8b) = 4a + 5b.
7Simplify (3x + y)/2 - (x - 2y)/3.
A.(7x + 7y)/6
B.(7x - y)/6
C.(11x + 7y)/6
D.(7x + 7y)/5
Explanation: Use the common denominator 6: [3(3x + y) - 2(x - 2y)]/6. Expand the numerator: 9x + 3y - 2x + 4y. Combine: 7x + 7y, so the result is (7x + 7y)/6.
8Expand (x + 5)(x - 3).
A.x² + 2x - 15
B.x² - 2x - 15
C.x² + 2x + 15
D.x² - 8x - 15
Explanation: Use the expansion pattern (x + a)(x + b) = x² + (a + b)x + ab. Here a = 5 and b = -3, so a + b = 2 and ab = -15. The result is x² + 2x - 15.
9Expand (2x - 3)².
A.4x² - 12x + 9
B.4x² + 12x + 9
C.4x² - 9
D.2x² - 12x + 9
Explanation: Use (a - b)² = a² - 2ab + b² with a = 2x and b = 3. Then (2x)² = 4x², 2(2x)(3) = 12x, and 3² = 9. The result is 4x² - 12x + 9.
10Factor x² - 7x + 12.
A.(x - 3)(x - 4)
B.(x + 3)(x + 4)
C.(x - 2)(x - 6)
D.(x - 1)(x - 12)
Explanation: Find two numbers whose sum is -7 and product is +12: those are -3 and -4. So x² - 7x + 12 = (x - 3)(x - 4). Expanding confirms x² - 4x - 3x + 12 = x² - 7x + 12.

About the Fukui Entrance Mathematics Exam

The Fukui Public High School Entrance Examination mathematics paper is one of five subject papers in the prefecture-wide academic examination set by the Fukui Prefectural Board of Education. The 60-minute, 100-point 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; the official paper requires full written mathematical reasoning, which MCQ practice does not replace.

Exam sponsor: Fukui Prefectural Board of Education. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

In the Reiwa 8 (2026) general selection, mathematics is one of five academic subjects examined on February 18–19, 2026; the mathematics paper is on day 1 (February 18) together with kokugo and eigo. The paper lasts 60 minutes, is scored out of 100 points (500 across five subjects), and covers the MEXT junior-high mathematics curriculum. A makeup exam is held February 25–26, 2026, with results announced March 3, 2026. For the Reiwa 8 and Reiwa 9 (2027) general selections the board publishes a list of grade-3 textbook pages excluded from the examinable range; from Reiwa 10 (2028) the full range is examined again, and the mathematics paper also moves to a separate question booklet and answer sheet for digital marking. This local bank is an English-language study adaptation offering 100 original worked calculation problems.

Time Limit

60 minutes for the mathematics subject paper (February 18, 2026 in the Reiwa 8 general selection)

Passing Score

No fixed pass mark; scored out of 100 points (500 total across 5 subjects); selection combines the five academic subject scores with the junior-high report (chousasho)

Exam / Certification Fees

JPY 2,200 entrance examination fee per the Fukui Prefectural Board of Education Reiwa 8 (2026) admissions guidelines

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

About 30% of this practice bank

Numbers and Expressions

Positive/negative numbers, linear and quadratic equations, simultaneous systems, square roots, and polynomial expansion and factorization.

About 25% of this practice bank

Functions and Graphs

Direct and inverse proportion, linear functions y=ax+b, quadratic functions y=ax², rates of change, and intersection coordinates.

About 20% of this practice bank

Plane Geometry

Angles, parallel lines, triangle congruence and similarity, circle properties, and Pythagorean applications.

About 10% of this practice bank

Solid Figures and Measurement

Prisms, cylinders, cones, and spheres: surface area, volume, diagonals, and measurement word problems.

About 15% of this practice bank

Data Handling and Probability

Relative frequency, mean and median, weighted means, counting outcomes for probability, and sampling estimates.

Preparing for the Fukui 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 the five academic subject scores with the junior-high report (chousasho)
  • Assessment: In the Reiwa 8 (2026) general selection, mathematics is one of five academic subjects examined on February 18–19, 2026; the mathematics paper is on day 1 (February 18) together with kokugo and eigo. The paper lasts 60 minutes, is scored out of 100 points (500 across five subjects), and covers the MEXT junior-high mathematics curriculum. A makeup exam is held February 25–26, 2026, with results announced March 3, 2026. For the Reiwa 8 and Reiwa 9 (2027) general selections the board publishes a list of grade-3 textbook pages excluded from the examinable range; from Reiwa 10 (2028) the full range is examined again, and the mathematics paper also moves to a separate question booklet and answer sheet for digital marking. This local bank is an English-language study adaptation offering 100 original worked calculation problems.
  • Time limit: 60 minutes for the mathematics subject paper (February 18, 2026 in the Reiwa 8 general selection)
  • Exam / certification fees: JPY 2,200 entrance examination fee per the Fukui Prefectural Board of Education Reiwa 8 (2026) admissions guidelines Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Fukui Entrance Mathematics: Suggested Study Strategy

1Build speed and accuracy on fundamental calculation items (signed numbers, radicals, expansion, factorization) to secure baseline points in the early large questions.
2Practice setting up simultaneous equations and quadratic models from word problem scenarios, a recurring pattern in Fukui-style applied problems.
3Because type B choice problems emphasize written explanation, practice writing out full reasoning for similarity, circle theorem, and function problems — not just final answers.

Frequently Asked Questions

Is the whole grade-3 mathematics syllabus examinable?

Not for every year. For the Reiwa 8 (2026) and Reiwa 9 (2027) general selections the board published a list of grade-3 textbook pages excluded from the examinable range in all five subjects, mathematics included. From the Reiwa 10 (2028) general selection the examination returns to the full range, so check the official range notice for your own year before narrowing your revision.

Is the official Fukui mathematics paper multiple-choice?

No. The official paper consists of 4–6 large constructed-response questions requiring written mathematical work, and 1–2 of them are school-selected choice problems of type A (basic skills) or type B (with more descriptive/written response). 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 60 minutes and is scored out of 100 points. Across all five subjects the academic examination totals 500 points, and admission combines these scores with the junior-high report (chousasho).

When is the Reiwa 8 (2026) mathematics examination?

In the general selection, mathematics is administered on day 1, February 18, 2026, together with kokugo and eigo. The application period is February 5–9, 2026, a makeup exam is held February 25–26, 2026, and results are announced March 3, 2026.