China

Gaokao Mathematics

Chinese National College Entrance Examination mathematics section. Formal Chinese math style with rigorous proof-oriented problems.

43 exam-specific templates

Exam Format

Questions

19 questions: 8 single-answer multiple choice + 3 multi-select + 3 fill-in-the-blank + 5 free response

Duration

120 minutes

Scoring

150 points total. Single-answer multiple choice 5 points each (40), multi-select 6 points each (18), fill-in-the-blank 5 points each (15), and 77 points across the five free-response questions.

Calculator

No calculator allowed.

Study Strategies

  • 1Budget 40 to 45 minutes for the 14 objective questions, which carry 73 points, so that just over 70 minutes remain for the five free-response questions worth 77.
  • 2Practice writing rigorous proofs for conic sections and solid geometry, since free-response grading requires formal logical steps.
  • 3Master the properties of common functions (quadratic, exponential, logarithmic, trigonometric) and their transformations, as function analysis appears across all question types.
  • 4Read all five free-response questions first and bank the accessible part (1) answers across every one of them before attacking a hard part (2). Marks count the same whichever question they come from.
  • 5On multi-select questions, select only the options you can justify. All correct earns the full 6 points and a subset with no errors still earns partial credit, but a single incorrect selection scores zero.

How Math Zen Helps

Math Zen provides 43 Gaokao-style templates that replicate the formal problem style and rigorous proof expectations of the actual exam. The step-by-step hint system trains you to construct the logical arguments that graders look for in free-response answers.

Topics Covered

Algebra

10 subtopics, 29 templates

Simplifying ExpressionsFactoringSolving EquationsInequalitiesBinomial TheoremPartial FractionsLinear SystemsPolynomial DivisionAbsolute ValueWord Problems

Functions

5 subtopics, 10 templates

Domain & RangeCompositionInverse FunctionsExponential FunctionsPiecewise Functions

Sequences & Series

7 subtopics, 17 templates

Arithmetic SequencesGeometric SequencesSeries SumsConvergence TestsPower SeriesTaylor SeriesRecursive Sequences

Trigonometry

5 subtopics, 12 templates

Basic RatiosIdentitiesEquationsInverse TrigLaw of Sines/Cosines

Geometry

12 subtopics, 29 templates

AreaPerimeterVolumeSurface AreaAnglesTrianglesCirclesCoordinate GeometryCongruence & SimilarityTransformations3D GeometryConstructions

Derivatives

12 subtopics, 24 templates

Power RuleProduct RuleQuotient RuleChain RuleTrigonometricImplicit DifferentiationHigher-OrderLogarithmicRelated RatesOptimizationLinearizationMean Value Theorem

Probability

7 subtopics, 16 templates

Basic ProbabilityConditional ProbabilityBayes' TheoremCombinationsPermutationsDistributionsExpected Value

Vectors

5 subtopics, 13 templates

Vector OperationsDot ProductCross ProductProjectionsLines & Planes