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100+ Free Gifu Entrance Mathematics Practice Questions

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2026 Statistics

Key Facts: Gifu Entrance Mathematics Exam

50 min / 100 points

Length and maximum score of the Gifu mathematics paper (Mar 4, 2026)

Gifu Prefectural Board of Education Reiwa 8 selection guidelines

5 subjects / 500 points

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

Gifu Prefectural Board of Education Reiwa 8 selection guidelines

Mar 4, 2026

Reiwa 8 first-selection academic examination date; results announced March 13, 2026

Gifu Prefectural Board of Education Reiwa 8 selection schedule

JPY 2,200

Entrance examination fee, paid via the WEB application system

Gifu Prefectural Board of Education Reiwa 8 selection guidelines

100

Free original practice questions in this bank

OpenExamPrep

The Gifu public high school entrance mathematics paper is a 50-minute, 100-point written exam on March 4, 2026, covering algebra, functions, geometry, and data analysis, set by the Gifu Prefectural Board of Education. This page offers 100 original practice questions with explanations as a study aid.

Sample Gifu Entrance Mathematics Practice Questions

Try these sample questions to test your Gifu 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 (-8) + (+5) - (-3).
A.0
B.-6
C.-16
D.6
Explanation: Subtracting a negative number becomes addition, so -(-3) = +3. The expression is -8 + 5 + 3. Computing left to right: -8 + 5 = -3, then -3 + 3 = 0.
2Calculate the value of (-3)² + (-2) × 4 - 6 ÷ (-2).
A.20
B.4
C.-2
D.-20
Explanation: Follow the order of operations: exponents and multiplication/division before addition/subtraction. (-3)² = 9, (-2) × 4 = -8, and 6 ÷ (-2) = -3, so the expression is 9 + (-8) - (-3) = 9 - 8 + 3 = 4.
3Calculate 3/4 - 5/6.
A.1/12
B.19/12
C.-1/12
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. Because 5/6 is larger than 3/4, the result is negative.
4Evaluate the expression 5x - 3y when x = -2 and y = 4.
A.2
B.22
C.-2
D.-22
Explanation: Substitute the values: 5(-2) - 3(4) = -10 - 12. Both terms are negative, so the total is -22.
5Calculate (5/6) ÷ (-2/3).
A.-5/4
B.-5/9
C.5/4
D.-4/5
Explanation: Dividing by a fraction means multiplying by its reciprocal: (5/6) ÷ (-2/3) = (5/6) × (-3/2). Multiplying gives -15/12, which simplifies to -5/4.
6Simplify the expression 3(2a - 5) - 4(a - 3).
A.2a - 27
B.2a - 3
C.2a + 3
D.-2a - 3
Explanation: Distribute each factor: 3(2a - 5) = 6a - 15 and -4(a - 3) = -4a + 12. Combining like terms gives 6a - 4a - 15 + 12 = 2a - 3.
7Calculate √12 × √3.
A.√15
B.36
C.6
D.2√3
Explanation: Use the rule √a × √b = √(ab): √12 × √3 = √36. Since 36 = 6², the value is 6.
8Expand the expression (2x + 3)(x - 4).
A.2x² - 11x - 12
B.2x² + 5x - 12
C.2x² - 5x + 12
D.2x² - 5x - 12
Explanation: Multiply each term: 2x·x = 2x², 2x·(-4) = -8x, 3·x = 3x, and 3·(-4) = -12. Combining the middle terms gives -8x + 3x = -5x, so the result is 2x² - 5x - 12.
9Factor the expression x² + 7x + 12.
A.(x + 3)(x + 4)
B.(x + 2)(x + 6)
C.(x - 3)(x - 4)
D.(x + 1)(x + 12)
Explanation: Look for two numbers whose product is 12 and whose sum is 7. Those numbers are 3 and 4, so x² + 7x + 12 = (x + 3)(x + 4).
10Factor the expression x² - 9.
A.(x - 3)²
B.(x + 3)(x - 3)
C.(x + 3)²
D.(x - 9)(x + 1)
Explanation: This is a difference of squares: x² - 9 = x² - 3². Using a² - b² = (a + b)(a - b), the factorization is (x + 3)(x - 3).

About the Gifu Entrance Mathematics Exam

The Gifu Public High School Entrance Examination mathematics paper is set by the Gifu Prefectural Board of Education. The single 50-minute, 100-point paper, administered on March 4, 2026 in the Reiwa 8 first 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). 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 Gifu mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects); in the Reiwa 8 (2026) first selection it was sat 10:30-11:20 on March 4, 2026, with interviews on March 4-5 and results announced on March 13, 2026. 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 some schools apply weighted scoring (keisha haiten) to specific subjects. A second selection at under-filled schools on March 19, 2026 uses a 30-minute mathematics paper or a short essay (results March 24). This local bank is an English-language MCQ study adaptation providing 100 original practice items.

Time Limit

50 minutes for the mathematics subject paper (10:30-11:20 on March 4, 2026 in the Reiwa 8 first 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), with school-level weighted scoring (keisha haiten) allowed

Exam Fee

JPY 2,200 entrance examination fee, paid through the WEB application system per the Gifu Prefectural Board of Education Reiwa 8 (2026) selection guidelines (Gifu Prefectural Board of Education)

Gifu Entrance Mathematics Exam Content Outline

About 20% of this practice bank

Numbers and Expressions

Positive and negative numbers, order of operations, algebraic expressions, expansion and factorization, and square-root calculations.

About 15% of this practice bank

Equations and Inequalities

Linear and simultaneous equations, quadratic equations by factoring and formula, linear inequalities, and equation-based word problems.

About 25% of this practice bank

Functions

Proportional and inverse proportional relationships, linear functions and their graphs, the quadratic function y = ax², and applied distance-time problems.

About 30% of this practice bank

Geometry

Angles and polygons, congruence and similarity, circle theorems, the Pythagorean theorem, and surface area and volume of solids.

About 10% of this practice bank

Data Analysis and Probability

Mean, median, quartiles, and relative frequency, plus counting-based probability with dice, coins, and cards.

How to Pass the Gifu 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), with school-level weighted scoring (keisha haiten) allowed
  • Assessment: The real Gifu mathematics examination is a 50-minute paper scored out of 100 points (500 total across five subjects); in the Reiwa 8 (2026) first selection it was sat 10:30-11:20 on March 4, 2026, with interviews on March 4-5 and results announced on March 13, 2026. 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 some schools apply weighted scoring (keisha haiten) to specific subjects. A second selection at under-filled schools on March 19, 2026 uses a 30-minute mathematics paper or a short essay (results March 24). This local bank is an English-language MCQ study adaptation providing 100 original practice items.
  • Time limit: 50 minutes for the mathematics subject paper (10:30-11:20 on March 4, 2026 in the Reiwa 8 first selection)
  • Exam fee: JPY 2,200 entrance examination fee, paid through the WEB application system per the Gifu 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

Gifu Entrance Mathematics Study Tips from Top Performers

1Show full working even in MCQ practice: the official paper awards points for written reasoning, so build the habit of writing each step.
2Drill expansion, factorization, and the quadratic formula until they are automatic — they underpin the function and geometry problems.
3For geometry, always mark given equal lengths and angles on the diagram and state which congruence or similarity condition you are using.

Frequently Asked Questions

Is the real Gifu 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 Gifu 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 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 10:30-11:20 on March 4, 2026 in the Reiwa 8 first selection. The five subjects total 500 points, and admission combines these scores with the junior-high report (chousasho), with some schools applying weighted scoring (keisha haiten) to specific subjects.

What is the Reiwa 8 (2026) application and results schedule?

First-selection applications were accepted February 6 (noon) to February 12 (noon), 2026 through the WEB application system, with a change window on February 13-17. The academic examination was held on March 4, 2026, interviews on March 4-5, and results were announced on March 13, 2026. A second selection at under-filled schools was held on March 19, 2026 with results on March 24.

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.

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 Gifu Prefectural Board of Education has already published its Reiwa 9 (2027 entry) selection guidelines. The five-subject, 50-minute, 100-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.