100+ Free Akita Entrance Mathematics Practice Questions
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Key Facts: Akita Entrance Mathematics Exam
60 min / 100 points
Length and maximum score of the Akita mathematics paper
Akita Prefectural Board of Education selection outline
5 subjects / 500 points
Japanese, mathematics, English, science and social studies are sat by every applicant in the single first-round recruitment
Akita R5 (2023) selection reform outline
JPY 2,200
Entrance examination fee for the full-time course
Akita Prefectural High School Tuition and Fees Collection Ordinance
100
Free original MCQ practice questions in this study bank
OpenExamPrep
The Akita public high school entrance mathematics paper is a 60-minute, 100-point written exam set by the Akita Prefectural Board of Education, covering algebra, functions, geometry, and data analysis from the MEXT junior-high curriculum, with some problems chosen by each high school. This page offers 100 original practice questions with worked explanations as a study aid — original items, not official past papers.
Sample Akita Entrance Mathematics Practice Questions
Try these sample questions to test your Akita 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: (−8) + (+5).
2Calculate: (−6) × (−4).
3Calculate: (−18) ÷ (+3).
4Calculate: (−2)^3.
5Simplify: 3x + 2x − 4x.
6Find the value of 2a − 3b when a = 4 and b = −2.
7Solve the equation: x + 7 = 3.
8Calculate: 12 ÷ (−3) + 5.
9Solve the equation: 3x − 5 = 16.
10Solve the equation: 0.4x − 1 = 0.2x + 3.
About the Akita Entrance Mathematics Exam
The Akita Public High School Entrance Examination mathematics paper is one of the five subject papers in the prefecture-wide academic examination administered by the Akita Prefectural Board of Education for admission to prefectural public high schools. Since the R5 (2023) reform Akita runs a single first-round recruitment in early March in which the tokushoku (specialty) and ippan (general) selections share the same five-subject academic examination: Japanese, mathematics, and English in 60 minutes each, science and social studies in 50 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; part of the paper is chosen by each high school under the problem-choice system. Results are combined with the junior-high school report (chousasho, weighted 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 Akita mathematics subject is one of the five academic subjects (kokugo, shakai, suugaku, rika, eigo) of the prefecture-wide entrance examination administered in a single first-round recruitment (ichiji boshuu) in early March. Since the R5 (2023) reform the tokushoku and ippan selections share the same problems on the same day. The mathematics paper lasts 60 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, and part of the paper selected by each high school (mondai sentaku-sei). 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
60 minutes for the mathematics subject paper (unchanged in the published R9 / 2027 question-creation policy)
Passing Score
No fixed pass mark; each subject paper is scored out of 100 points and admission combines the academic test total with the junior-high school report (chousasho) and an interview through each school's correlation table (soukan-hyou)
Exam Fee
JPY 2,200 entrance examination fee for the full-time course; JPY 950 for the part-time course (Akita Prefectural High School Tuition and Fees Collection Ordinance) (Akita Prefectural Board of Education)
Akita Entrance Mathematics Exam Content Outline
Numbers and Algebra
Signed numbers, algebraic manipulation, expansion and factorization, square roots, simultaneous linear equations, and quadratic equations with real calculation items.
Functions
Direct and inverse proportion, linear functions, y = ax^2, rate of change, intersection of graphs, and function-based word problems.
Geometry
Angle and figure properties, congruence and similarity, the inscribed angle theorem, the Pythagorean theorem, and area/volume of solids.
Probability and Statistics
Counting outcomes, compound probability, mean/median/quartiles, box plots, relative frequency, and interpretation of samples.
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 Akita 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 with the junior-high school report (chousasho) and an interview through each school's correlation table (soukan-hyou)
- Assessment: The real Akita mathematics subject is one of the five academic subjects (kokugo, shakai, suugaku, rika, eigo) of the prefecture-wide entrance examination administered in a single first-round recruitment (ichiji boshuu) in early March. Since the R5 (2023) reform the tokushoku and ippan selections share the same problems on the same day. The mathematics paper lasts 60 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, and part of the paper selected by each high school (mondai sentaku-sei). 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: 60 minutes for the mathematics subject paper (unchanged in the published R9 / 2027 question-creation policy)
- Exam fee: JPY 2,200 entrance examination fee for the full-time course; JPY 950 for the part-time course (Akita 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
Akita Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the real Akita mathematics entrance paper multiple-choice?
No. The official paper is answered in writing, mixing short computations with multi-step constructed responses, and part of it is chosen by each high school under the problem-choice system (mondai sentaku-sei). 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 Akita mathematics paper and how is it scored?
The mathematics paper lasts 60 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) and an interview through each school's correlation table; 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 Akita Prefectural Board of Education administers the selection. The entrance examination fee set by the prefectural ordinance is JPY 2,200 for the full-time course and JPY 950 for the part-time course.
What is the problem-choice system in Akita mathematics?
Under the mondai sentaku-sei, each high school designates part of the mathematics problems that its applicants must solve, so two applicants to different schools can answer slightly different problem sets on the same day. Check the target school's announcement for which problems it selects.