Japan
Kyotsu Test Mathematics
Japanese Common Test for University Admissions mathematics sections: Mathematics I·A and Mathematics II·B·C, in the format introduced with the new curriculum in 2025.
Exam Format
Questions
Mathematics I·A: 4 compulsory multi-part questions (30 + 30 + 20 + 20 points). Mathematics II·B·C: 3 compulsory Mathematics II questions (15 + 15 + 22 points) plus 3 chosen from 4 selection questions worth 16 points each (sequences, statistical inference, vectors, curves and the complex plane). Mark-sheet format where you fill in each digit of your answer.
Duration
Mathematics I·A: 70 minutes, Mathematics II·B·C: 70 minutes, in separate sessions on the second exam day.
Scoring
100 points per section, 200 points total. No partial credit: each digit box is either right or wrong.
Calculator
No calculator allowed.
Study Strategies
- 1Practice the fill-in-the-digit answer format until it feels natural: you must compute exact numerical values, and there is no partial credit for close answers.
- 2In Mathematics I·A, all four questions are compulsory, so there is no escape route: quadratic functions, figure measurement with trigonometric ratios, data analysis, combinatorics and probability, and figure properties all have to be solid.
- 3In Mathematics II·B·C, decide your three selection questions (from sequences, statistical inference, vectors, and curves with the complex plane) months before the exam, and drill only those three; the compulsory questions lean on trigonometric functions, exponentials and logarithms, and differentiation and integration.
- 4Build mental arithmetic speed: without a calculator, you need to handle fractions, square roots, and trigonometric values quickly and accurately.
- 5Work through past Kyotsu exams under timed conditions: the problems are long, often wrapped in dialogue or real-world settings, and 70 minutes per section makes reading speed and skip-and-return discipline as decisive as the mathematics.
How Math Zen Helps
Math Zen covers the foundational topics tested in both Mathematics I·A and Mathematics II·B·C, including algebra, trigonometry, geometry, sequences, probability, statistics, and calculus. As Kyotsu-specific templates are added, you will be able to practice the guided, multi-step problem style unique to this exam.
Topics Covered
Arithmetic
7 subtopics, 19 templates
Algebra
10 subtopics, 29 templates
Functions
5 subtopics, 10 templates
Trigonometry
5 subtopics, 12 templates
Geometry
12 subtopics, 29 templates
Sequences & Series
7 subtopics, 17 templates
Derivatives
12 subtopics, 24 templates
Integrals
19 subtopics, 22 templates
Probability
7 subtopics, 16 templates
Statistics
8 subtopics, 16 templates