100+ Free Chiba Entrance Mathematics Practice Questions
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Key Facts: Chiba Entrance Mathematics Exam
50 min / 100 points
Length and maximum score of the Chiba mathematics paper
Chiba Prefectural Board of Education R9 (2027) notice on examination subjects and question policy
5 subjects / 500 points
Kokugo, mathematics, English, science, and social studies taken over two days under identical prefecture-wide conditions
Chiba general selection implementation guidelines
JPY 2,200
Entrance examination fee for the full-time course
Chiba general selection implementation guidelines
100
Free original MCQ practice questions in this study bank
OpenExamPrep
The Chiba public high school entrance mathematics paper is a 50-minute, 100-point written exam set by the Chiba 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 Chiba Entrance Mathematics Practice Questions
Try these sample questions to test your Chiba 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: (−9) + (+2).
2Calculate: (−8) × (−7).
3Calculate: (−54) ÷ (+9).
4Calculate: −(−4)^2.
5Simplify: 7x − 2x − 4x + 3x.
6Find the value of 3a + 7 when a = −4.
7Solve the equation: x + 6 = −4.
8Calculate: (−4) × 5 + 12.
9Solve the equation: 5x − 3 = 3x + 7.
10Calculate: (−2)^3 + 5 × (−3).
About the Chiba Entrance Mathematics Exam
The Chiba Public High School Entrance Examination mathematics paper is one of the five subject papers in the prefecture-wide academic examination administered by the Chiba Prefectural Board of Education for admission to prefectural public high schools. Chiba holds the main examination over two days in mid-February (February 16-17 in 2027) under identical conditions across the prefecture, followed by a makeup examination (February 25 in 2027). Day 1 covers kokugo and mathematics in 50 minutes each and English in 60 minutes; day 2 covers science and social studies in 50 minutes each; every subject is 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, multiplied by a school-set factor K between 0.5 and 2) and school-set tests; 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 Chiba mathematics subject is one of the five academic subjects (kokugo, suugaku, eigo, rika, shakai) of the prefecture-wide entrance examination administered over two days under identical conditions across the prefecture (the R9 / 2027 main examination is scheduled for February 16-17, 2027, with a makeup examination on February 25, 2027; the preceding R8 / 2026 examination was held on February 17-18, 2026). Day 1 covers kokugo, mathematics, and English; day 2 covers science and social studies. The mathematics paper lasts 50 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
50 minutes for the mathematics subject paper (per the official R9 / 2027 notice)
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, multiplied by a school-set factor K between 0.5 and 2) and school-set tests (10-100 points; the prefecture-made thinking-questions test is 100 points), with school-specific weighting and an optional two-stage selection for up to 20% of places
Exam Fee
JPY 2,200 entrance examination fee for the full-time course; JPY 950 for the part-time and correspondence courses (Chiba general selection implementation guidelines) (Chiba Prefectural Board of Education)
Chiba 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.
How to Pass the Chiba 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, multiplied by a school-set factor K between 0.5 and 2) and school-set tests (10-100 points; the prefecture-made thinking-questions test is 100 points), with school-specific weighting and an optional two-stage selection for up to 20% of places
- Assessment: The real Chiba mathematics subject is one of the five academic subjects (kokugo, suugaku, eigo, rika, shakai) of the prefecture-wide entrance examination administered over two days under identical conditions across the prefecture (the R9 / 2027 main examination is scheduled for February 16-17, 2027, with a makeup examination on February 25, 2027; the preceding R8 / 2026 examination was held on February 17-18, 2026). Day 1 covers kokugo, mathematics, and English; day 2 covers science and social studies. The mathematics paper lasts 50 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: 50 minutes for the mathematics subject paper (per the official R9 / 2027 notice)
- Exam fee: JPY 2,200 entrance examination fee for the full-time course; JPY 950 for the part-time and correspondence courses (Chiba general selection implementation 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
Chiba Entrance Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is the real Chiba 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 Chiba mathematics paper and how is it scored?
The mathematics paper lasts 50 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, multiplied by a school-set factor K between 0.5 and 2) and school-set tests; there is no fixed passing score.
Does this bank include real calculation questions?
Yes. The large majority 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 Chiba Prefectural Board of Education administers the selection. The entrance examination fee is JPY 2,200 for the full-time course and JPY 950 for the part-time and correspondence courses.
How is admission decided in Chiba?
Chiba holds the main examination over two days in mid-February, with a makeup examination later in February. Each high school combines the 500-point academic total with the chousasho report (multiplied by a school-set factor K between 0.5 and 2) and school-set tests such as interviews, essays, or the prefecture-made thinking-questions test; some schools use subject multipliers and a two-stage selection for up to 20% of places.