100+ Free Kaoyan Mathematics III Practice Questions
Pass your Kaoyan Mathematics III (303) - National Postgraduate Entrance Examination Mathematics III exam on the first try — instant access, no signup required.
For f(x) = x^2 + 4x + 5, what is the minimum value?
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Key Facts: Kaoyan Mathematics III Exam
100
Original local practice MCQs on this page
OpenExamPrep local question bank
150 marks / 180 minutes
Live Mathematics III paper score and time
YanZhao / CHSI Mathematics III syllabus archive
303
Common subject code for Mathematics III in YanZhao program catalog entries
YanZhao master's program catalog
56 / 22 / 22
Approximate calculus, linear algebra, probability/statistics content split in CHSI Math III archive
YanZhao / CHSI Mathematics III syllabus archive
No standalone pass score
National lines and admissions-unit re-exam requirements govern advancement
MOE / YanZhao 2026 national score line notice
Kaoyan Mathematics III is a 150-mark, 180-minute national unified written math subject for programs that require 303 Math III, commonly in economics and management-oriented tracks. This page provides 100 original local MCQs across calculus, linear algebra, probability/statistics, marginal analysis, optimization, matrices, estimation, and applied quantitative modeling.
Sample Kaoyan Mathematics III Practice Questions
Try these sample questions to test your Kaoyan Mathematics III exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Evaluate the limit lim_{x -> 0} (e^x - 1) / x.
2What is d/dx ln x at x = 1?
3If total revenue is R(q) = 20q - q^2, what is marginal revenue?
4Compute the integral int_0^2 3x^2 dx.
5For f(x) = x^2 + 4x + 5, what is the minimum value?
6For f(x,y) = x^2 y + y^3, what is the partial derivative with respect to x at (2,1)?
7If demand is Q = 100 - 2P, what is the point price elasticity dQ/dP * P/Q at P = 20?
8For Q(K,L) = K^0.5 L^0.5, what happens to output if both K and L are doubled?
9Let A = [[1,2],[3,4]] and v = [1,0]^T. What is Av?
10What is det([[2,1],[3,4]])?
About the Kaoyan Mathematics III Exam
Kaoyan Mathematics III is the economics and management-oriented mathematics paper used in China's National Postgraduate Entrance Examination when the target program requires subject code 303. It tests calculus, linear algebra, probability, and mathematical statistics with an emphasis on economic and management applications such as marginal functions, elasticity, constrained optimization, matrix models, random variables, distributions, estimation, and quantitative decision models. The broader postgraduate admissions process is governed by MOE rules and combines a nationally organized preliminary exam with admissions-unit re-examination and final selection.
Assessment
Mathematics III is a national unified mathematics subject used in the National Postgraduate Entrance Examination when a candidate's target admissions unit and program list subject code 303 Mathematics III. Official CHSI syllabus archive information identifies Mathematics III as a 150-mark, 180-minute closed-book written paper covering calculus, linear algebra, and probability/statistics, with calculus carrying the largest share. The subject is associated with economics and management-oriented programs and emphasizes mathematical tools for demand, marginal analysis, optimization, matrices, random variables, estimation, and quantitative modeling. Candidates must verify the current subject code in the YanZhao master's program catalog and the target university's admissions brochure because requirements are program-specific.
Time Limit
180 minutes for the live Mathematics III written preliminary-exam paper
Passing Score
No standalone Math III pass score. MOE publishes annual national preliminary-exam score requirements by discipline/category and region, including single-subject thresholds for subjects with full mark greater than 100; admissions units set their own re-exam requirements on that basis.
Exam Fee
No separate fee for Mathematics III alone. Candidates pay the national postgraduate entrance exam registration/exam fee set by the relevant provincial education admissions/examination agency and report point. (Ministry of Education of the People's Republic of China; National Education Examinations Authority; China Graduate Admissions Information Network (YanZhao/CHSI); provincial education admissions examination institutions; and admissions units)
Kaoyan Mathematics III Exam Content Outline
Calculus
Functions, limits, continuity, derivatives, differentials, integrals, multivariable calculus, series, differential equations, marginal functions, elasticity, extrema, constrained optimization, and economic applications.
Linear Algebra
Determinants, matrix operations, inverse matrices, rank, vector groups, linear systems, eigenvalues, eigenvectors, diagonalization, quadratic forms, and matrix-based economic or management models.
Probability and Mathematical Statistics
Random events, conditional probability, independence, discrete and continuous random variables, common distributions, expectation, variance, covariance, transformations, large-sample ideas, sampling distributions, point estimation, method of moments, and maximum likelihood.
Economics and Management Modeling
Demand and revenue models, marginal cost and profit, consumer and producer optimization, production functions, input-output models, Markov transitions, regression equations, price indexes, expected profit, and decision analysis.
How to Pass the Kaoyan Mathematics III Exam
What You Need to Know
- Passing score: No standalone Math III pass score. MOE publishes annual national preliminary-exam score requirements by discipline/category and region, including single-subject thresholds for subjects with full mark greater than 100; admissions units set their own re-exam requirements on that basis.
- Assessment: Mathematics III is a national unified mathematics subject used in the National Postgraduate Entrance Examination when a candidate's target admissions unit and program list subject code 303 Mathematics III. Official CHSI syllabus archive information identifies Mathematics III as a 150-mark, 180-minute closed-book written paper covering calculus, linear algebra, and probability/statistics, with calculus carrying the largest share. The subject is associated with economics and management-oriented programs and emphasizes mathematical tools for demand, marginal analysis, optimization, matrices, random variables, estimation, and quantitative modeling. Candidates must verify the current subject code in the YanZhao master's program catalog and the target university's admissions brochure because requirements are program-specific.
- Time limit: 180 minutes for the live Mathematics III written preliminary-exam paper
- Exam fee: No separate fee for Mathematics III alone. Candidates pay the national postgraduate entrance exam registration/exam fee set by the relevant provincial education admissions/examination agency and report point.
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 III Study Tips from Top Performers
Frequently Asked Questions
How many questions are in this local Kaoyan Mathematics III bank?
This OpenExamPrep bank contains exactly 100 original multiple-choice questions for cn-kaoyan-mathematics-3. The live Mathematics III paper is a 150-mark, 180-minute written paper and is not a 100-question MCQ exam.
Who takes Kaoyan Mathematics III?
Candidates take Mathematics III only when their target admissions unit and program list subject code 303 Mathematics III. It is commonly associated with economics and management-oriented programs, but candidates must confirm requirements in the current YanZhao catalog and university admissions materials.
What does Mathematics III cover?
The subject covers calculus, linear algebra, probability, and mathematical statistics. Compared with engineering-oriented math papers, Math III practice should emphasize economic and management applications such as marginal analysis, elasticity, optimization, matrices, distributions, estimation, and modeling.
Is there a separate passing score for Math III?
No. MOE publishes annual national preliminary-exam basic score requirements by discipline/category and region, including single-subject thresholds for full-mark-greater-than-100 subjects. Admissions units may set higher re-exam requirements.
Does this bank reproduce official questions?
No. The questions are original practice items written to cover the Mathematics III skill set and economics/management emphasis without copying official exam questions.
Where should I verify current Math III requirements?
Start with YanZhao/CHSI, the current master's program catalog, the MOE admissions rules, and the target university or research institute's official graduate admissions brochure.