Courses

Master CSEC algebra step by step — from foundations and factorization to indices, equations, simultaneous equations and inequalities. Each lesson has worked examples and practice.

Build CSEC geometry skills from lines and angles through triangles, circles, Pythagoras, transformations and trigonometry, with worked examples and practice throughout.

Master CSEC measurement — starting with the metric system and its units of length, area, volume, capacity and mass, with worked examples and practice.

Master the money maths of CSEC: profit and loss, discount, sales tax, percentages, markup, simple interest, hire purchase and mortgages.

Master CSEC matrices step by step — from orders and types through addition, scalar and matrix multiplication, determinants, inverses, and applications to transformations and simultaneous equations. Each lesson has worked examples and practice.

Master CSEC trigonometry — from the ratios of acute angles and solving right-angled triangles, through heights and distances, angles of elevation and depression, the sine and cosine rules, and bearings. Each lesson has worked examples, exam-style questions and practice.

Master CSEC statistics — types of data, frequency tables and class features, statistical diagrams (bar, pie, line, histograms and frequency polygons), and measures of central tendency with guidance on choosing the right average. Each lesson has worked examples and practice.

Master CSEC vectors — vector concepts and notation, combining vectors with the triangle and parallelogram laws and as column matrices, position vectors and magnitude including unit vectors, and using vectors to solve geometry problems involving parallel lines, collinearity and midpoints. Each lesson has worked examples, exam-style questions and practice.

Master CSEC set theory — set concepts and notation, representing sets, subsets and the number of subsets, equal and equivalent sets, operations (intersection, union, complement) with the formula n(A ∪ B) = n(A) + n(B) − n(A ∩ B), and constructing and solving problems with Venn diagrams. Each lesson has worked examples, exam-style questions and practice.

Master CSEC computation — the four operations on whole numbers, fractions and decimals; converting among fractions, decimals and percentages; units, time and currency conversion; significant figures, decimal places and standard form; and ratio, proportion, rates and the arithmetic mean. Each lesson has worked examples, exam-style questions and practice.

Master CSEC number theory — the sets of real numbers and their inclusion relations, ordering reals, even/odd/prime/composite and square numbers, number patterns and sequences (generating terms and deriving rules), factors and multiples with HCF and LCM, place and face value in base n, and the properties of numbers and operations. Each lesson has worked examples and practice.

Master CSEC relations and functions — the concept of a relation with its domain, range, image and co-domain; the four ways to represent a relation; what defines a function; functional notation f(x); telling a relation from a function with the vertical line test; composite and inverse functions; and functions in depth. Each lesson has worked examples, diagrams and practice.

Master CSEC graphs — linear functions and their graphs, equations of straight lines, length and midpoint, linear systems and inequalities, linear programming, quadratic graphs and the completed-square form, other non-linear graphs, kinematics graphs, and variation. Each lesson has worked examples, diagrams and practice.