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CSCA (China)

Bachelor admission to Chinese universities: maths, physics, chemistry and Chinese

This course prepares you for the CSCA, the test international students now need for bachelor's admission to Chinese universities. You will learn how the exam and registration work, review mathematics, physics and chemistry along the official syllabus, get to know the Professional Chinese test and practise strategies for answering 48 questions in 60 minutes.

68 lessons12 modules≈ 31 hBeginnerIntermediateAdvanced
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What is the CSCA? Structure, registration and scores

Course content

All tests · 105Formulas & shortcuts
1

Getting to know the exam

Beginner

The structure of the CSCA, choosing subjects, registration, test day and how scores are used.

1 lesson
  1. 1What is the CSCA? Structure, registration and scoresThe CSCA exam for bachelor's study in China: who takes it, which subjects it has, how to register, what happens on test day and how universities and the CSC scholarship use the scores.
2

Mathematics: sets, inequalities and functions

Intermediate

Sets, inequalities, properties of functions, power, exponential and logarithmic functions, trigonometry, solving triangles, sequences and the derivative — every lesson has its own topic test.

12 lessons
  1. 2Sets and set operationsThe first topic of CSCA maths: how sets are written (listing, description, intervals, Venn diagrams), subsets and their number 2ⁿ, union, intersection and complement, counting with inclusion–exclusion, and necessary and sufficient conditions.
  2. 3Inequalities: properties, quadratic and rational inequalitiesProperties of inequalities, linear and quadratic inequalities read from the parabola, rational inequalities by the interval method, absolute-value inequalities, parameter questions with a given solution set, and the AM–GM inequality for quick maxima and minima.
  3. 4Functions and their propertiesDomain and range, piecewise and composite functions, monotonicity, parity, periodicity, graph transformations and inverse functions — and how CSCA uses these properties to compare values without calculating.
  4. 5Power and exponential functionsRational exponents and roots, power functions y = x^α and their graphs, the exponential function y = aˣ, exponential equations and inequalities, and comparing powers without a calculator.
  5. 6Logarithms and logarithmic functionsThe definition and laws of logarithms, change of base, lg and ln, the graph and properties of y = logₐ x, equations and inequalities solved domain first, and comparing logarithms without a calculator — in CSCA style.
  6. 7Trigonometric functions and identitiesRadian measure, sin, cos and tan on the unit circle, signs by quadrant, special angles, the basic identities, reduction formulas, sum, difference and double-angle formulas and a·sin x + b·cos x = R sin(x + φ) — without a calculator, in CSCA style.
  7. 8Graphs of trigonometric functionsGraphs of sin, cos and tan for the CSCA: period, symmetry, monotonic intervals and extreme values; y = A sin(ωx + φ) + b — reading A, ω, φ from a graph, shifts and stretches; simple trigonometric equations and inequalities on an interval.
  8. 9Solving triangles: the law of sines and the law of cosinesSolving triangles for the CSCA: the law of sines with the circumdiameter 2R, the law of cosines, the area S = ½ab sin C, the ambiguous case (0, 1 or 2 triangles), deciding whether a triangle is acute, right or obtuse, and measurement problems with heights, distances and bearings.
  9. 10Arithmetic sequencesSequences, the general term and recursive rules; arithmetic sequences: the general term, both forms of Sₙ, the property aₘ + aₙ = aₚ + aₜ, the largest Sₙ and telescoping sums, with CSCA-style items.
  10. 11Geometric sequencesGeometric sequences for CSCA: the general term, Sₙ for q ≠ 1 and q = 1, properties of products and block sums, the sum of an infinite decreasing geometric series, finding aₙ from Sₙ and mixed arithmetic–geometric problems.
  11. 12The derivative: definition, geometric meaning and rulesFrom the average rate of change to the derivative: the limit definition, the slope of the tangent, the table of derivatives, the sum, product, quotient and chain rules, tangent-line equations and instantaneous velocity — the way CSCA asks about them.
  12. 13Applications of the derivative: monotonicity and extremaWhat the sign of f′ says about a function: intervals of increase and decrease, critical points, local maxima and minima, greatest and least values on a closed interval, reading the graph of f′, simple optimisation, counting roots, and a first look at the integral as an area.
3

Mathematics: geometry and algebra

Intermediate

Lines and circles, the ellipse, hyperbola and parabola, plane vectors, complex numbers, solid geometry and coordinates in space.

7 lessons
  1. 14Lines and circles in the coordinate planeSlope and angle of inclination, the five forms of the equation of a line, parallel and perpendicular lines, distances from a point to a line and between parallel lines, the standard and general equations of a circle, the positions of a line and a circle and of two circles, tangent lines and chord lengths — the CSCA way, without a calculator.
  2. 15The ellipseThe ellipse the CSCA way: the definition as a sum of distances, both standard equations, a, b, c with a² = b² + c², foci, vertices and eccentricity, focal triangles (perimeter, area, focal radii) and the basics of a line meeting an ellipse — discriminant, chord length and midpoint.
  3. 16The hyperbolaThe hyperbola as the set of points with a constant difference of distances to two foci: standard equations with the foci on either axis, c² = a² + b², asymptotes, eccentricity e > 1 and the equilateral hyperbola — with the shortcuts CSCA expects without a calculator.
  4. 17The parabolaThe parabola as the set of points equally far from a focus and a directrix: the four standard equations y² = ±2px, x² = ±2py, the focal radius |PF| = x₀ + p/2, focal chords and the latus rectum — and the ellipse, hyperbola and parabola compared side by side through their eccentricity.
  5. 18Plane vectorsPlane vectors for the CSCA: the triangle and parallelogram rules, scalar multiples, coordinates and length, collinearity, the dot product with angles, projections and perpendicularity, and vectors in triangles (medians, the centroid, three points on one line).
  6. 19Complex numbersComplex numbers for the CSCA: the imaginary unit i, the algebraic form a + bi, real and imaginary parts, pure imaginary numbers and equality, the complex plane and quadrants, the conjugate and the modulus, the four operations and powers of i — fast and without a calculator.
  7. 20Solid geometry and the coordinate system in spaceSolid geometry for the CSCA: volumes and surface areas of prisms, pyramids, cylinders, cones and balls, parallel, perpendicular and skew lines and planes, the rectangular coordinate system in space, distances and space vectors for angles.
4

Mathematics: probability and statistics

Intermediate

Classical probability, numerical characteristics of data and the normal distribution.

3 lessons
  1. 21Classical probabilityClassical probability for the CSCA: sample spaces and events, P = m/n, counting by listing, the multiplication principle, permutations and combinations, complementary, mutually exclusive and independent events, and basic geometric probability.
  2. 22Numerical characteristics of dataSampling methods, frequency tables and histograms (relative frequency / class width), mean, median, mode and percentiles, range, variance and standard deviation, how y = ax + b changes them, and reading stem-and-leaf plots and bar charts.
  3. 23The normal distributionDiscrete random variables and their distribution tables, expectation and variance (including the binomial distribution), the normal curve N(μ, σ²) and how μ and σ shape it, the 68–95–99.7 rule, probabilities by symmetry, the 3σ principle and standardisation.
5

Physics: mechanics

Intermediate

The mechanics part of the official syllabus topic by topic: kinematics, projectiles, forces, Newton's laws, work and energy, momentum, circular motion, gravitation, oscillations and waves. Every lesson has its own topic test.

10 lessons
  1. 24Kinematics: displacement, velocity, acceleration, free fallOne-dimensional kinematics for the CSCA: displacement and distance, average and instantaneous velocity, acceleration, the four equations of uniformly accelerated motion, x–t and v–t graphs, free fall, vertical throws and relative motion, with exam-style items solved without a calculator.
  2. 25Projectile motionProjectile motion for the CSCA: independence of motions, horizontal projection (time of flight, range, speed and angle at impact), oblique projection (maximum height, range, the 45° rule, symmetry) and the typical tasks of Chinese textbooks.
  3. 26Forces and equilibriumThe forces of CSCA mechanics (gravity, normal force, tension, spring force and friction), free-body diagrams, adding and resolving forces, and equilibrium problems on inclines, with ropes and with three forces.
  4. 27Newton's laws of motion and their applicationsNewton's three laws and how CSCA uses them: F = ma along and across the motion, inclines with friction, connected bodies and pulleys, apparent weight in lifts (overweight and weightlessness) and the instantaneous acceleration when a string or spring is cut.
  5. 28Work, power and energyWork of a constant force and its sign, average and instantaneous power, a car's maximum speed at rated power, the work–energy theorem, gravitational and elastic potential energy, conservation of mechanical energy and friction heat Q = f · s_rel, with CSCA-style items.
  6. 29Momentum, impulse and conservation of momentumMomentum and impulse, the impulse–momentum theorem and the average force, conservation of momentum, recoil and explosions, elastic and perfectly inelastic collisions, and bullet–block problems, with CSCA-style items.
  7. 30Circular motionLinear and angular speed, period and frequency, centripetal acceleration and force, belts and shared axles, flat and banked turns, the conical pendulum and vertical circles with a string or a rod — the CSCA way, without a calculator.
  8. 31Universal gravitation and satellitesKepler’s laws, Newton’s law of gravitation, g at the surface and at a height (GM = gR²), the mass and density of a planet, satellite orbits, the first cosmic velocity, geostationary satellites and changing orbits — the CSCA way.
  9. 32Simple harmonic motionThe restoring force F = −kx; amplitude, period, frequency and phase; the equation x = A sin(ωt + φ) and its graph; the spring oscillator and the simple pendulum; energy in SHM; damped and forced oscillations and resonance — with CSCA-style items solved without a calculator.
  10. 33Mechanical wavesTransverse and longitudinal waves, v = λf, the difference between a wave graph and a vibration graph and how to find the direction of particle motion, superposition and interference, diffraction, standing waves, sound and the Doppler effect — for the CSCA physics test.
6

Physics: electromagnetism

Intermediate

Coulomb's law and the electric field, potential and capacitors, DC circuits, the magnetic field with the Ampère and Lorentz forces, electromagnetic induction — every lesson has its own topic test.

5 lessons
  1. 34Coulomb's law and the electric fieldElectric charge and its conservation, Coulomb's law, the equilibrium of three charges, field strength E = F/q and E = kQ/r², superposition, field lines, uniform fields and charged particles accelerated or deflected in them — with CSCA-style problems.
  2. 35Electric potential, potential difference and capacitorsWork of the electric field, potential energy, potential and potential difference (W = qU), equipotential surfaces, U = Ed in uniform fields, capacitance C = Q/U and the parallel-plate capacitor, connected vs isolated capacitors, and the energy of a charge moving between two points.
  3. 36Direct current circuitsCurrent, resistance and resistivity, Ohm's law for a part of a circuit and for the whole circuit (EMF and internal resistance), series and parallel connection, power and Joule heat, maximum output power, rheostat problems and meters, the CSCA way and without a calculator.
  4. 37Magnetic field: Ampère force and Lorentz forceMagnetic induction B and the field lines of magnets, straight wires and solenoids, magnetic flux, the Ampère force F = BIL sin θ and the Lorentz force F = qvB, circular motion of charged particles (r = mv/(qB), T = 2πm/(qB)) and three devices: the velocity selector, the mass spectrometer and the cyclotron.
  5. 38Electromagnetic induction: Faraday's law and Lenz's lawWhen the magnetic flux through a closed circuit changes, a current appears. Faraday's law gives the size of the EMF and Lenz's law its direction; the lesson also covers rods on rails, self-induction, AC generators and transformers in CSCA style.
7

Physics: heat, optics and modern physics

Intermediate

Kinetic theory of gases, the first law of thermodynamics, geometrical and wave optics, the photoelectric effect, atomic structure and nuclear physics — every lesson has its own topic test.

7 lessons
  1. 39Kinetic theory of gases and the ideal gas equationMatter is made of molecules in endless random motion. The lesson links the molecular picture (Avogadro’s number, Brownian motion, temperature and pressure) to the ideal gas equation pV = nRT, the three isoprocesses and their graphs, and gases trapped by mercury columns and pistons.
  2. 40The first law of thermodynamicsInternal energy, heat and work; the law ΔU = Q + W in the Chinese sign convention and its school form Q = ΔU + A; work as the area under a p–V graph; isoprocesses, adiabatic processes, cycles, heat engines and the second law — with CSCA-style problems.
  3. 41Geometrical optics: reflection and refractionThe law of reflection and plane mirrors, refraction and Snell's law, n = c/v, total internal reflection and optical fibres, prisms and dispersion, and thin lenses — with the special-angle tricks the CSCA expects without a calculator.
  4. 42Physical optics: interference and diffractionLight as a wave: coherent sources, Young's double slit and Δx = Lλ/d, thin-film colours and anti-reflection coatings, single-slit and grating diffraction, polarisation and the electromagnetic spectrum — with CSCA-style items.
  5. 43The photoelectric effectPhotons and E = hν, Einstein's equation Eₖ = hν − W₀, the threshold frequency and the stopping voltage, reading I–U and Eₖ–ν graphs, why frequency (not intensity) sets the electrons' energy, wave–particle duality and the de Broglie wavelength λ = h/p.
  6. 44Atomic structure and spectraThomson's and Rutherford's models, α-particle scattering, Bohr's postulates and the energy levels of hydrogen, transitions, line spectra, counting lines and ionisation, with CSCA-style items.
  7. 45Fundamentals of nuclear physicsThe composition of the nucleus and isotopes, α, β and γ decay and the conservation laws, half-life calculations, nuclear reactions, mass defect and binding energy, fission, fusion and radiation protection, with CSCA-style items.
8

Chemistry: basic concepts and calculations

Intermediate

Classification of matter, chemical notation and equations, the mole, solution concentration and pH, the gas law in chemistry — every lesson has its own topic test.

5 lessons
  1. 46Classification of matter and changes of statePure substances and mixtures, simple substances and compounds, an overview of the classes of inorganic substances, colloids and the Tyndall effect, physical and chemical changes, states of matter and changes of state, allotropes — with CSCA-style items and the key terms in English and Chinese.
  2. 47Chemical notation and writing equationsSymbols, formulas and valence, naming compounds in English (with the Chinese names), balancing equations by inspection and an introduction to the oxidation-number method, the basics of ionic equations, thermochemical equations with ΔH, Hess’s law and bond energies, and the types of reactions — with CSCA-style items.
  3. 48Amount of substance: the moleThe mole links the particles you cannot see to the grams and litres you can measure. The lesson covers Avogadro’s constant, molar mass and molar volume (22.4 L/mol at STP), calculations from equations with an excess reagent, percentage composition and empirical formulas — the core of every CSCA chemistry calculation.
  4. 49Solution concentration and pH calculationsHow much solute is in a solution? The lesson covers mass fraction, molar concentration c = n/V and the link c = 1000ρw/M, dilution and mixing, preparing a solution in a volumetric flask with its typical errors, and the pH of strong acids, strong bases and their mixtures using Kw.
  5. 50The ideal gas law in chemistrypV = nRT and Avogadro’s law through a chemist’s eyes: molar volume under any conditions, molar mass, density and relative density of gases, the average molar mass and composition of gas mixtures, and volumes and pressures in reactions of gases.
9

Chemistry: properties and reactions of substances

Intermediate

Oxides, acids, bases and salts, non-metals and metals, redox and ionic reactions, hydrocarbons and their derivatives.

7 lessons
  1. 51Oxides, acids, bases and saltsClassification and general properties of oxides, acids, bases and salts, neutralisation calculations, normal and acid salts, amphoteric Al₂O₃ and Al(OH)₃, and one-step conversions between the classes, with CSCA-style items.
  2. 52Common non-metals and their compoundsChlorine and the halogens, chlorine water and bleaches; sulfur, SO₂ and concentrated vs dilute sulfuric acid; nitrogen, NO, NO₂, NH₃ and nitric acid; CO, CO₂, silicon and SiO₂ — key reactions, uses and CSCA-style items.
  3. 53Common metals and their compoundsSodium and its compounds (Na₂O₂, Na₂CO₃ vs NaHCO₃), amphoteric aluminium, the Fe²⁺ ⇄ Fe³⁺ conversions and tests, copper, the activity series, the basics of extracting metals and the corrosion of iron — with the reactions and calculations CSCA asks about.
  4. 54Redox reactionsOxidation numbers, recognising redox reactions, oxidising and reducing agents, balancing by electron transfer, comparing oxidising and reducing strength, and galvanic cells and electrolysis as applications, the CSCA way and without a calculator.
  5. 55Ionic reactions and tests for ionsElectrolytes, net ionic equations, the conditions for ionic reactions (precipitate, gas, weak electrolyte), which ions can coexist in a solution, and the tests for Cl⁻, SO₄²⁻, CO₃²⁻, NH₄⁺, Fe³⁺ and Fe²⁺ with flame tests, the CSCA way.
  6. 56HydrocarbonsAlkanes and substitution, alkenes and alkynes (addition, polymerisation), the special stability of benzene, structural formulas, isomers and naming, telling hydrocarbons apart with bromine water and KMnO₄, and combustion calculations — the organic core of CSCA chemistry.
  7. 57Derivatives of hydrocarbonsFunctional groups; ethanol, ethanal, acetic acid and ethyl acetate and how they turn into each other; esterification, hydrolysis and saponification; sugars, proteins and polymers — with calculations and CSCA-style items.
10

Chemistry: theories and laws

Intermediate

Atomic structure and the periodic law, chemical bonds, reaction rate, chemical equilibrium, electrolyte solutions.

5 lessons
  1. 58Atomic structure and the periodic lawProtons, neutrons and electrons, isotopes and average relative atomic mass, electron configurations of main-group elements, the structure of the periodic table, trends in radius, metallic character, electronegativity and ionisation energy, and predicting an element's properties from its position, with CSCA-style items.
  2. 59Chemical bonds and intermolecular forcesIonic, covalent (polar and non-polar) and metallic bonds, electron-dot structures, σ and π bonds, molecular shapes and polarity, intermolecular forces and hydrogen bonds, and the four types of crystals with their properties, with CSCA-style items.
  3. 60Reaction rateRate as the change in concentration per unit time, its units and its calculation from data and three-line tables; the ratio of rates to the coefficients; how concentration, pressure, temperature, surface area and catalysts act; collision theory, activation energy and energy diagrams — with CSCA-style items.
  4. 61Chemical equilibriumReversible reactions and the dynamic equilibrium state, how to recognise it, the equilibrium constant K and the reaction quotient Q, Le Chatelier’s principle for concentration, pressure, temperature and catalysts, and ICE-table calculations of conversion — with CSCA-style items.
  5. 62Theories of electrolyte solutionsWhy some solutions conduct and what equilibria hide in them: strong and weak electrolytes, the ionisation of weak acids (Ka), the ionisation of water (Kw) and acidity, hydrolysis of salts, the solubility product Ksp, and the charge and material balances used to compare ion concentrations.
11

Chemistry: experiments and applications

Intermediate

Laboratory safety and apparatus, preparing and identifying gases, separating and purifying substances, industrial chemical processes.

4 lessons
  1. 63Laboratory safety and apparatusCommon apparatus and how to heat it; measuring with a cylinder, balance, burette, pipette and volumetric flask, with reading and titration errors; safety rules, first aid, handling acids and flammable substances, storing reagents and reading a set-up — with CSCA-style items.
  2. 64Preparation and identification of common gasesLaboratory preparation of O₂, H₂, CO₂, Cl₂ and NH₃: the reactions, the types of generator, purification and drying, collection over water or by displacement of air, tail-gas treatment and the identification test for each gas.
  3. 65Separation and purification of substancesFiltration, evaporation and crystallisation (by cooling or by evaporating), distillation, extraction and the separating funnel, paper chromatography and R_f, removing impurities with reagents in the right order (the crude-salt problem), and choosing the method from the properties of the mixture.
  4. 66Industrial chemical processesHow industry chooses reaction conditions — ammonia synthesis as a compromise of rate, equilibrium and cost; the contact process for sulfuric acid, nitric acid from ammonia, the chlor-alkali industry and metal extraction; reading CSCA flow-chart questions (recycling, by-products, yield) and green chemistry with atom economy.
12

Professional Chinese and score strategies

Advanced

What the Chinese test demands, academic vocabulary, time management, eliminating options and a bilingual glossary of terms.

2 lessons
  1. 67Professional Chinese: the test, vocabulary and reading strategiesThe CSCA Professional Chinese test: the Humanities and STEM versions, the official question types, the expected language level, key maths and science words with pinyin, and strategies for reading academic texts.
  2. 68Test strategy, glossary of terms and study planPacing for 48 questions in 60 minutes, the two-pass method, eliminating options with special values, units and estimation, calculating without a calculator, an English–Chinese glossary for maths, physics and chemistry, and a 12-week plan.

Exam preparation

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