100+ Free Kaoyan Mathematics I Practice Questions
Pass your National Postgraduate Entrance Examination Mathematics I (301) exam on the first try — instant access, no signup required.
What is integral_0^1 2x dx?
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Key Facts: Kaoyan Mathematics I Exam
150 points
Full mark for Mathematics I in the preliminary exam
MOE/NEEA national postgraduate exam framework and math syllabus resources
180 minutes
Exam time for preliminary subjects such as unified mathematics
MOE 2026 National Master's Graduate Admissions Work Management Regulations
2025-12-21 08:30
Scheduled 2026-cycle morning slot for business course I or professional foundation subjects
MOE 2026 National Master's Graduate Admissions Work Management Regulations
Program-specific
Admissions units decide whether Mathematics I is required for each program
MOE 2026 National Master's Graduate Admissions Work Management Regulations
100
Free local practice questions here
OpenExamPrep
Kaoyan Mathematics I is a 150-point, 180-minute closed-book preliminary subject, commonly required by many engineering and science programs but always program-specific. The real paper is not a 100-MCQ test; this local bank provides 100 original MCQs across advanced mathematics, linear algebra, probability, and statistics.
Sample Kaoyan Mathematics I Practice Questions
Try these sample questions to test your Kaoyan Mathematics I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1For f(x) = x^3 - 3x^2 + 5, what is f'(2)?
2Evaluate lim as x -> 0 of sin(3x)/x.
3What is integral_0^1 2x dx?
4Define f(x) = (e^x - 1)/x for x != 0. What value of f(0) makes f continuous at 0?
5For f(x) = ln(1 + x^2), what is f'(1)?
6Find the sum of the geometric series 1 + 1/2 + 1/4 + 1/8 + ... .
7If y' = 2x and y(0) = 1, what is y(2)?
8For f(x, y) = x^2 y + y^3, what is the partial derivative f_x at (1, 2)?
9What is the gradient of f(x, y) = x^2 + y^2 at (3, 4)?
10Evaluate the double integral of x + y over the unit square 0 <= x <= 1, 0 <= y <= 1.
About the Kaoyan Mathematics I Exam
Kaoyan Mathematics I, commonly subject 301, is the broadest national unified mathematics paper used in China's master's preliminary examination system. It covers advanced mathematics, linear algebra, probability theory, and mathematical statistics at undergraduate engineering/science depth. Many engineering and science programs require Mathematics I, but candidates must verify the exact math subject in the target admissions unit's professional catalog because program requirements can differ by university, discipline, and degree type.
Assessment
Subject 301 Mathematics I is a national unified preliminary examination math subject. It is commonly used by many engineering and science master's programs, especially routes that need the broadest calculus, linear algebra, probability, and statistics coverage, but each admissions unit and program decides its required subject in the current admissions catalog. The real Math I paper is a 150-point, 180-minute closed-book written exam; published syllabus conventions use single-choice questions, fill-in questions, and solution/proof questions rather than a 100-MCQ format. This page is a local 100-question MCQ practice bank and should be paired with real-paper fill-in and written-solution practice.
Time Limit
180 minutes. For the 2026 admissions cycle, business course I or professional foundation subjects, including unified mathematics subjects where assigned, were scheduled 2025-12-21, 08:30-11:30 Beijing time.
Passing Score
No standalone pass mark. Candidates must meet the national basic preliminary-score requirements for their discipline and any higher admissions-unit or program-specific retest requirements.
Exam Fee
Varies by province, reporting point, and admissions unit; candidates pay required registration or preliminary-exam fees through official CHSI/YanZhao or local authority channels. (Ministry of Education of the People's Republic of China / National Education Examinations Authority, with CHSI/YanZhao, provincial education admissions examination institutions, and admissions units)
Kaoyan Mathematics I Exam Content Outline
Advanced Mathematics
Functions, limits, continuity, one-variable differential and integral calculus, applications of derivatives and integrals, infinite series, multivariable calculus, vector algebra and space analytic geometry, multiple integrals, line and surface integrals, and ordinary differential equations.
Linear Algebra
Determinants, matrices, elementary transformations, matrix rank, vector groups, linear independence, linear systems, eigenvalues, eigenvectors, diagonalization, quadratic forms, orthogonal transformations, and positive definiteness.
Probability Theory and Mathematical Statistics
Random events and probability, conditional probability, independence, random variables and distributions, multidimensional random variables, numerical characteristics, laws of large numbers, central limit theorem, sample statistics, parameter estimation, and basic hypothesis-testing ideas.
How to Pass the Kaoyan Mathematics I Exam
What You Need to Know
- Passing score: No standalone pass mark. Candidates must meet the national basic preliminary-score requirements for their discipline and any higher admissions-unit or program-specific retest requirements.
- Assessment: Subject 301 Mathematics I is a national unified preliminary examination math subject. It is commonly used by many engineering and science master's programs, especially routes that need the broadest calculus, linear algebra, probability, and statistics coverage, but each admissions unit and program decides its required subject in the current admissions catalog. The real Math I paper is a 150-point, 180-minute closed-book written exam; published syllabus conventions use single-choice questions, fill-in questions, and solution/proof questions rather than a 100-MCQ format. This page is a local 100-question MCQ practice bank and should be paired with real-paper fill-in and written-solution practice.
- Time limit: 180 minutes. For the 2026 admissions cycle, business course I or professional foundation subjects, including unified mathematics subjects where assigned, were scheduled 2025-12-21, 08:30-11:30 Beijing time.
- Exam fee: Varies by province, reporting point, and admissions unit; candidates pay required registration or preliminary-exam fees through official CHSI/YanZhao or local authority channels.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Kaoyan Mathematics I Study Tips from Top Performers
Frequently Asked Questions
Is Kaoyan Mathematics I officially a 100-question MCQ exam?
No. The real 301 Mathematics I paper is a 150-point written exam with selected-response, fill-in, and written solution or proof tasks. This page contains 100 original MCQs for targeted concept and calculation practice.
How long is the Kaoyan Mathematics I exam?
The preliminary exam subject is 180 minutes. For the 2026 admissions cycle, unified mathematics subjects assigned as business course I or professional foundation subjects were scheduled in the 2025-12-21 morning session.
Does every Kaoyan candidate take Mathematics I?
No. Mathematics I is used by many engineering and science programs, but candidates must check the target school and program catalog. Some programs use Mathematics II, Mathematics III, economics comprehensive ability, another professional foundation subject, or a self-set subject.
How is Mathematics I scored?
The real paper is worth 150 points. There is no separate universal pass mark for Mathematics I; candidates must meet the national basic score-line requirements for their discipline and any admissions-unit retest line.
What topics should be prioritized?
Build a strong base in limits, derivatives, integrals, multivariable calculus, ODEs, matrices, eigenvalues, distributions, expectations, variance, sampling distributions, and parameter estimation. Math I rewards both calculation accuracy and structural reasoning.
What should I practice beyond these MCQs?
Use real-paper fill-in and written-solution drills. Mathematics I requires setting up multi-step calculations, proving or justifying results, and organizing work clearly under the 180-minute time limit.