100+ Free Gaokao Mathematics Practice Questions
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What is sin(pi/6)?
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Key Facts: Gaokao Mathematics Exam
120 minutes
National Mathematics subject slot
MOE ordinary higher-education admissions rules
June 7 afternoon
National unified Mathematics schedule
MOE ordinary higher-education admissions rules
150 points
Common Mathematics subject score
Provincial Gaokao reform notices and national-style paper conventions
100
Free practice questions here
OpenExamPrep
Gaokao Mathematics is usually a 120-minute, 150-point written paper scheduled on June 7 afternoon, with exact paper versions and item structures varying by province. This local bank provides 100 original MCQs across core high-school math topics for targeted practice, not a replacement for full official timed papers or constructed-response scoring.
Sample Gaokao Mathematics Practice Questions
Try these sample questions to test your Gaokao Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1If f(x) = 2x - 3, what is f(5)?
2For the equation x^2 - 5x + 6 = 0, what is the sum of its two roots?
3Which inequality is equivalent to x + 3 > 7?
4What is log_2 8?
5What is sin(pi/6)?
6What is cos(pi/3)?
7What is the slope of the line through (1, 2) and (3, 6)?
8What is the distance between (0, 0) and (3, 4)?
9An arithmetic sequence has first term 3 and common difference 2. What is the fifth term?
10A geometric sequence has first term 2 and common ratio 3. What is the fourth term?
About the Gaokao Mathematics Exam
Gaokao Mathematics is the required mathematics subject in China's ordinary National College Entrance Examination. It assesses senior high-school mathematical foundations and problem solving across functions, algebra, trigonometry, analytic geometry, sequences, probability and statistics, calculus basics, vectors, solid geometry, and modeling. Because China uses national and provincial paper arrangements, candidates should pair this practice bank with the latest paper and admissions notices from their own province.
Assessment
Gaokao Mathematics is a required unified subject in China's ordinary National College Entrance Examination. The national admissions rules schedule Mathematics from 15:00 to 17:00 on June 7, and provincial authorities administer registration, exam implementation, scoring, and admissions. The subject is commonly a 150-point written mathematics paper, but exact item counts, objective versus constructed-response mix, paper version, and some reform details vary by national/provincial administration. Current curriculum guidance emphasizes functions, geometry and algebra, probability and statistics, mathematical modeling and inquiry, with selective-compulsory depth in areas such as calculus, spatial vectors, and probability/statistics.
Time Limit
120 minutes for the Mathematics subject slot, normally 15:00-17:00 on June 7; confirm the current schedule with the candidate's provincial admissions authority.
Passing Score
No national pass mark. The Mathematics score contributes to the candidate's Gaokao total and admissions ranking; provincial control lines and university/program cutoffs determine admission outcomes.
Exam Fee
Varies by province or municipality; registration and any exam fee are handled by provincial admissions examination authorities. (Ministry of Education of the People's Republic of China / National Education Examinations Authority, with provincial admissions examination authorities)
Gaokao Mathematics Exam Content Outline
Functions, Equations, and Algebra
Function values and composition, domains, inverse functions, exponentials, logarithms, quadratics, inequalities, complex numbers, matrices, and algebraic parameters.
Trigonometry, Sequences, and Series
Standard angles, identities, equations, laws of sines and cosines, radians, arithmetic and geometric sequences, recurrence relations, and finite or infinite series.
Analytic Geometry, Vectors, and Solid Geometry
Lines, circles, conic sections, point-line distance, tangent conditions, vector operations, dot products, angles, three-dimensional distance, surface area, and volume.
Probability, Statistics, and Counting
Simple and conditional probability, independent trials, Bayes reasoning, permutations, combinations, descriptive statistics, variance, standard deviation, and data transformations.
Calculus Basics and Mathematical Modeling
Derivatives, tangent slopes, monotonicity, optimization, definite-area reasoning, rates of change, direct variation, linear models, exponential growth or decay, and context translation.
How to Pass the Gaokao Mathematics Exam
What You Need to Know
- Passing score: No national pass mark. The Mathematics score contributes to the candidate's Gaokao total and admissions ranking; provincial control lines and university/program cutoffs determine admission outcomes.
- Assessment: Gaokao Mathematics is a required unified subject in China's ordinary National College Entrance Examination. The national admissions rules schedule Mathematics from 15:00 to 17:00 on June 7, and provincial authorities administer registration, exam implementation, scoring, and admissions. The subject is commonly a 150-point written mathematics paper, but exact item counts, objective versus constructed-response mix, paper version, and some reform details vary by national/provincial administration. Current curriculum guidance emphasizes functions, geometry and algebra, probability and statistics, mathematical modeling and inquiry, with selective-compulsory depth in areas such as calculus, spatial vectors, and probability/statistics.
- Time limit: 120 minutes for the Mathematics subject slot, normally 15:00-17:00 on June 7; confirm the current schedule with the candidate's provincial admissions authority.
- Exam fee: Varies by province or municipality; registration and any exam fee are handled by provincial admissions examination authorities.
Keys to Passing
- Complete 500+ practice questions
- Score 80%+ consistently before scheduling
- Focus on highest-weighted sections
- Use our AI tutor for tough concepts
Gaokao Mathematics Study Tips from Top Performers
Frequently Asked Questions
Is Gaokao Mathematics a 100-question multiple-choice exam?
No. Official Gaokao Mathematics papers vary by national or provincial version and include a mix of objective and constructed-response problem solving. This page contains 100 original selected-response practice questions for targeted review.
How long is the Gaokao Mathematics paper?
The national ordinary higher-education admissions rules schedule Mathematics from 15:00 to 17:00 on June 7, giving a 120-minute subject slot. Candidates should confirm exact current arrangements with their province's admissions examination authority.
What score is needed to pass Gaokao Mathematics?
There is no national pass score for Mathematics. The subject score contributes to the candidate's total, and admissions depend on provincial control lines, institutional plans, subject combinations, and ranking.
Does every province use the same Mathematics paper?
No. Some provinces use national-paper versions while others may have provincial arrangements or reform-specific structures. The core skills are aligned with national curriculum and evaluation requirements, but local details should always be checked.
What should I practice besides these MCQs?
Use province-specific full papers, timed constructed-response solutions, graph and geometry diagrams, proof-style explanations, and an error log that separates concept, calculation, and interpretation mistakes.