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100+ Free Aomori Entrance Mathematics Practice Questions

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2026 Statistics

Key Facts: Aomori Entrance Mathematics Exam

45 min / 100 points

Length and maximum score of the Aomori mathematics paper

Aomori Prefectural Board of Education R8 (2026) selection results report

5 subjects / 500 points

Japanese, mathematics, English, science and social studies are sat by every applicant in the single March sitting

Aomori Prefectural Board of Education selection outline

JPY 2,200

Entrance selection fee for the full-time course

Aomori Prefectural High School Tuition and Fees Collection Ordinance

100

Free original MCQ practice questions in this study bank

OpenExamPrep

The Aomori public high school entrance mathematics paper is a 45-minute, 100-point written exam set by the Aomori Prefectural Board of Education, covering algebra, functions, geometry, and data analysis from the MEXT junior-high curriculum. This page offers 100 original practice questions with worked explanations as a study aid — original items, not official past papers.

Sample Aomori Entrance Mathematics Practice Questions

Try these sample questions to test your Aomori 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: (−7) + (+4).
A.−11
B.−3
C.3
D.−28
Explanation: Adding a positive number to a negative number means subtracting the smaller absolute value from the larger and keeping the sign of the larger absolute value. Since |−7| = 7 is greater than |+4| = 4, the result is −(7 − 4) = −3.
2Calculate: (−5) × (−6).
A.−30
B.−11
C.11
D.30
Explanation: The product of two numbers with the same sign is positive. Multiply the absolute values: 5 × 6 = 30, and since both factors are negative, the result is +30.
3Calculate: (−24) ÷ (+6).
A.−4
B.4
C.−18
D.−3
Explanation: The quotient of two numbers with different signs is negative. Divide the absolute values: 24 ÷ 6 = 4, and because the signs differ, the answer is −4.
4Calculate: (−3)^2.
A.−9
B.9
C.−6
D.6
Explanation: (−3)^2 means (−3) × (−3). The product of two negative numbers is positive, so the answer is 9. An even power of a negative number is always positive.
5Simplify: 5a − 3a + 2a.
A.4a
B.10a
C.−4a
D.6a
Explanation: Combine like terms by adding the coefficients: 5 − 3 + 2 = 4. So the expression simplifies to 4a.
6Find the value of 2x − 5 when x = −3.
A.−11
B.−1
C.1
D.11
Explanation: Substitute x = −3 into the expression: 2 × (−3) − 5 = −6 − 5 = −11. Multiply first, then subtract.
7Solve the equation: x − 7 = −2.
A.−9
B.−5
C.5
D.9
Explanation: Add 7 to both sides to isolate x: x = −2 + 7 = 5. Adding a positive number to a negative number gives the difference of the absolute values with the sign of the larger one.
8Calculate: (−2) × 3 + 8.
A.−2
B.2
C.14
D.−14
Explanation: Multiplication comes before addition: (−2) × 3 = −6, then −6 + 8 = 2. The sum is positive because 8 has the larger absolute value.
9Solve the equation: 3x + 5 = 2x − 1.
A.−6
B.−4
C.4
D.6
Explanation: Subtract 2x from both sides to get x + 5 = −1, then subtract 5: x = −6. Check: 3(−6) + 5 = −13 and 2(−6) − 1 = −13.
10Calculate: (−3)^2 − 4 × (−2).
A.1
B.17
C.−17
D.10
Explanation: Evaluate the power and the product first: (−3)^2 = 9 and 4 × (−2) = −8. Then 9 − (−8) = 9 + 8 = 17.

About the Aomori Entrance Mathematics Exam

The Aomori Public High School Entrance Examination mathematics paper is one of the five subject papers in the prefecture-wide academic examination administered by the Aomori Prefectural Board of Education for admission to prefectural public high schools. Aomori holds a single sitting in early March (March 5 in 2026) in which every applicant, under both the general (ippan) and specialty-focused (tokushoku-ka) selections, takes the same five-subject academic examination: Japanese and English in 50 minutes each, mathematics, science, and social studies in 45 minutes each, every subject scored out of 100 points. The mathematics paper follows the MEXT Course of Study for junior high school and covers numbers and algebra (through quadratic equations and square roots), functions (through y = ax^2), plane and solid geometry (including congruence, similarity, the inscribed angle theorem, and the Pythagorean theorem), and data analysis with probability. Results are combined with the junior-high school report (chousasho, 135 points counted equally across all three school years) and an interview; there is no single passing score. This page provides 100 original English-language practice items, including real calculation questions, as a study adaptation — original items, not official past problems.

Assessment

The real Aomori mathematics subject is one of the five academic subjects (kokugo, shakai, suugaku, rika, eigo) of the prefecture-wide entrance examination administered in a single sitting in early March (the R8 / 2026 sitting was held on March 5, 2026). Every applicant takes the same five-subject examination under both the general (ippan) and the specialty-focused (tokushoku-ka) selections. The mathematics paper lasts 45 minutes and is scored out of 100 points, following the four MEXT junior-high strands — numbers and expressions, functions, figures, and utilization of data — with items ranging from one-line computations to multi-step reasoning. This local bank is an English-language study adaptation aligned to the same curriculum content, including genuine calculation items; the items are original and are not official past problems, and the MCQ format does not reproduce the official written-response work.

Time Limit

45 minutes for the mathematics subject paper (per the official R8 / 2026 selection results report)

Passing Score

No fixed pass mark; each subject paper is scored out of 100 points and admission combines the academic test total (500 points) with the junior-high school report (chousasho, 135 points counted equally across all three years) and an interview, with school-specific weighting under the tokushoku-ka selection

Exam Fee

JPY 2,200 entrance selection fee for the full-time course; JPY 950 for the part-time course (Aomori Prefectural High School Tuition and Fees Collection Ordinance) (Aomori Prefectural Board of Education)

Aomori Entrance Mathematics Exam Content Outline

About 25% of this practice bank; a major strand of the official paper

Numbers and Algebra

Signed numbers, algebraic manipulation, expansion and factorization, square roots, simultaneous linear equations, and quadratic equations with real calculation items.

About 20% of this practice bank

Functions

Direct and inverse proportion, linear functions, y = ax^2, rate of change, intersection of graphs, and function-based word problems.

About 25% of this practice bank

Geometry

Angle and figure properties, congruence and similarity, the inscribed angle theorem, the Pythagorean theorem, and area/volume of solids.

About 15% of this practice bank

Probability and Statistics

Counting outcomes, compound probability, mean/median/quartiles, box plots, relative frequency, and interpretation of samples.

About 15% of this practice bank

Applied and Integrated Problems

Multi-step word problems combining equations, functions, graphs, speed/distance/time, and geometric measurement in realistic settings.

How to Pass the Aomori Entrance Mathematics Exam

What You Need to Know

  • Passing score: No fixed pass mark; each subject paper is scored out of 100 points and admission combines the academic test total (500 points) with the junior-high school report (chousasho, 135 points counted equally across all three years) and an interview, with school-specific weighting under the tokushoku-ka selection
  • Assessment: The real Aomori mathematics subject is one of the five academic subjects (kokugo, shakai, suugaku, rika, eigo) of the prefecture-wide entrance examination administered in a single sitting in early March (the R8 / 2026 sitting was held on March 5, 2026). Every applicant takes the same five-subject examination under both the general (ippan) and the specialty-focused (tokushoku-ka) selections. The mathematics paper lasts 45 minutes and is scored out of 100 points, following the four MEXT junior-high strands — numbers and expressions, functions, figures, and utilization of data — with items ranging from one-line computations to multi-step reasoning. This local bank is an English-language study adaptation aligned to the same curriculum content, including genuine calculation items; the items are original and are not official past problems, and the MCQ format does not reproduce the official written-response work.
  • Time limit: 45 minutes for the mathematics subject paper (per the official R8 / 2026 selection results report)
  • Exam fee: JPY 2,200 entrance selection fee for the full-time course; JPY 950 for the part-time course (Aomori Prefectural High School Tuition and Fees Collection Ordinance)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

Aomori Entrance Mathematics Study Tips from Top Performers

1Master the full algebra chain in order: expansion, factorization, square roots, then quadratic equations — later topics reuse earlier skills.
2For functions, always compute the rate of change and check intercepts; most entrance-exam function items reduce to these two moves.
3In geometry, mark given equal sides and angles on the figure before choosing a theorem; similarity and the inscribed angle theorem are the highest-frequency tools.
4For probability, list outcomes systematically with a table or tree diagram instead of counting in your head.
5Practice under a 45-minute cap and show working even in MCQ practice, because the official paper grades written steps.

Frequently Asked Questions

Is the real Aomori mathematics entrance paper multiple-choice?

No. The official paper is answered in writing, mixing short computations with multi-step constructed responses. The MCQs here are an English-language study adaptation; work each problem out in full on paper instead of eliminating options.

How long is the Aomori mathematics paper and how is it scored?

The mathematics paper lasts 45 minutes and is scored out of 100 points. Admission combines all five subject results (500 points in total) with the junior-high school report (chousasho, 135 points) and an interview; there is no fixed passing score.

Does this bank include real calculation questions?

Yes. A substantial share of the bank requires actual computation — equation solving, expansion, probability counting, and geometric measurement — with worked explanations for every option.

Who administers the exam and what does it cost?

The Aomori Prefectural Board of Education administers the selection. The entrance selection fee set by the prefectural ordinance is JPY 2,200 for the full-time course and JPY 950 for the part-time course.

How is admission decided in Aomori?

Aomori holds a single sitting in early March in which all applicants take the same five-subject examination and an interview. Under the general (ippan) selection, schools combine the 500-point academic total with the 135-point chousasho report, counted equally across all three junior-high years; under the specialty-focused (tokushoku-ka) selection, schools may weight subjects differently and some departments add practical tests.