Topical Self-Assessment
Topical Self-Assessment (TSA) Library
Not sure whether you truly understand a topic before attempting full exam questions? These Topical Self-Assessments help you check the essential fundamentals first through a focused mix of MCQ, True/False and short-answer questions. Each assessment is designed to reveal weak spots, catch common misconceptions and give instant feedback so you know exactly what to revise before moving on to longer exam-style practice.
H2 Math
Start with any published topic. More H2 Math Topical Self-Assessment topics will be added here as they become available.
APGP
Check arithmetic and geometric progressions, terms, sums, common differences and ratios, convergence, sum to infinity, modelling and arithmetic/geometric means.
Functions
Check functions and relations, domains and ranges, one-one functions, inverse functions, inverse graphs, piecewise and periodic functions, composite functions and self-inverse functions.
Differentiation Techniques and Applications
Check differentiation formulae, implicit differentiation, parametric differentiation, tangents and normals, locus problems, maxima and minima, rate of change and derivative graphs.
Integration Techniques
Check exponential and logarithmic forms, rational algebraic integration, trigonometric integration, higher powers, integration by parts and substitution.
Maclaurin Series
Check standard Maclaurin series, binomial expansion, range of validity, combining and manipulating series, approximation and error, and small angle approximation.
Vectors 1 (3D Vectors)
Check 3D vector notation, position vectors, magnitude, unit vectors, Cartesian component form, ratio theorem, midpoint theorem, collinearity, scalar product, projections, vector product and area.
Vectors 2 (Lines)
Check vector and Cartesian equations of lines, parameters, coordinate axes, points on lines, foot of perpendicular, shortest distance, reflection, line relationships, angles and projections.
Vectors 3 (Planes)
Check equations of planes, special coordinate planes, line-plane intersections, distances, projections, angles, reflections, relationships between planes and three-plane intersections.
Tip: Use these Topical Self-Assessments as a quick diagnostic before revision or timed practice. Read the feedback carefully after each question; it is written to show the tested fundamental and the most common trap.