University level test about topics of relevance, as follows: Expanding brackets and factorising, solving linear equations, solving quadratic equations (finding the roots), solving... University level test about topics of relevance, as follows: Expanding brackets and factorising, solving linear equations, solving quadratic equations (finding the roots), solving simultaneous equations, inverse of a function, differentiation of various types of function, chain, product and quotient rules, integration of various types of function, including integration by substitution and by parts, partial fraction decomposition, solving equations using logs, trigonometric identities, parametric equations, solving ordinary differential equations using separation of variables, recognition of fundamental graphs, laws of logs, exponentials and powers, symmetry and periodicity of trigonometric functions, sine and cosine rules, fundamental functions, logs as inverses of powers, function transformations, classifying functions as odd/even/neither, stationary points, domain and range, dot product of vectors, tangent and normal to a curve, position and displacement vectors, magnitude of a vector, problems involving vectors, using dot product to find the angle between two vectors, work done by a force, laws of indices, simple curve-sketching, composite functions, equation of a circle, binomial expansion/Pascal's triangle, evaluating definite integrals, vectors in 2D and 3D, finding a unit vector, rates of change log_a(x) as inverse of a^x, calculating the 2nd derivative of various functions, basic sequences and series, straight-line modelling questions, basic probability questions. Read more