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

22 questions: 12 multiple choice + 4 fill-in-the-blank + 6 free response

Duration

120 minutes

Scoring

150 points total. Multiple choice worth 5 points each, fill-in worth 5 points each, free response worth varying points.

Calculator

No calculator allowed.

Study Strategies

  • 1Drill the multiple-choice section for speed and accuracy, as the 12 questions carry 60 points and should take no more than 40 minutes.
  • 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.
  • 4For the final "killer" problems (typically questions 21-22), practice breaking them into manageable parts: solving part (1) can still earn significant partial credit.
  • 5Build speed on fill-in-the-blank questions by developing mental math shortcuts, since there is no partial credit for incorrect answers in that section.

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