Singapore G2 Mathematics

Singapore G2 Mathematics Secondary 1 establishes the numerical reasoning and algebraic foundations required for the O-Level Mathematics course — including primes, highest common factor and lowest common multiple, integers, rational and real numbers and their operations, approximation and estimation including rounding, significant figures, and order of magnitude, percentages and their applications in everyday contexts including percentage change, profit and loss, discount, and simple interest, ratio and rate in practical settings, algebraic notation and the language of algebra, manipulation of algebraic expressions including expansion and simplification, solving linear equations in one unknown and their applications, introduction to Cartesian coordinates and plotting points in all four quadrants, properties of angles including complementary, supplementary, and vertically opposite angles, properties of triangles including angle sum and exterior angle, and properties of common quadrilaterals. Secondary 1 builds the numerical and algebraic skills that are directly extended throughout the G2 Mathematics course and that underpin all subsequent O-Level content.

Singapore G2 Mathematics Secondary 2 develops the algebraic, geometric, and statistical skills that bridge the lower secondary curriculum and the upper secondary O-Level content — including further algebraic manipulation including expansion of products, factorisation using common factors and the difference of two squares, simplification of algebraic fractions, solving linear equations with fractional coefficients, solving linear inequalities and representing solutions on a number line, direct and inverse proportion and their graphical representations, Pythagoras’ theorem and its applications to two-dimensional problems, introduction to trigonometry in right-angled triangles using sine, cosine, and tangent ratios and their application to finding unknown sides and angles, properties of quadrilaterals including parallelograms, rhombuses, trapezoids, and kites, congruence and similarity of triangles and their applications to scale factors and problem solving, mensuration including area and perimeter of composite plane figures and volume and surface area of prisms and cylinders, and further statistics including mean, mode, median, and range from grouped and ungrouped data and the interpretation and comparison of statistical diagrams. Secondary 2 consolidates lower secondary skills and directly prepares students for the demands of the Upper Secondary 3/4 O-Level curriculum.

Singapore G2 Mathematics Secondary 3/4 covers the full upper secondary O-Level Mathematics content assessed in the Singapore-Cambridge O-Level examination — including quadratic expressions and equations including factorisation, completing the square, the quadratic formula, and the discriminant, graphs of quadratic functions and their key features, indices and surds including laws of indices and operations with surds, logarithms and their properties, exponential and logarithmic equations and graphs, functions and graphs including linear, quadratic, cubic, reciprocal, exponential, and modulus functions and their transformations, coordinate geometry including gradient, midpoint, length, and equation of a straight line, linear and quadratic simultaneous equations, further trigonometry including the sine rule, cosine rule, and area formula for non-right-angled triangles, bearings, and three-dimensional trigonometry problems, further mensuration including arc length, sector area, surface area, and volume of pyramids, cones, and spheres, set language and notation, further statistics including cumulative frequency, box-and-whisker plots, histograms, and standard deviation, probability including addition and multiplication rules and conditional probability, matrices including arithmetic, determinant, and inverse, and transformation geometry including reflection, rotation, translation, and enlargement. Secondary 3/4 is the examination preparation course aligned to the full Singapore-Cambridge O-Level Mathematics syllabus issued by SEAB.

Singapore G2 Mathematics Secondary 5 is designed for students who have completed the N(A)-level O-Level examination and are continuing to Secondary 5 to sit the Singapore-Cambridge O-Level Mathematics examination at the full O-Level standard. The Secondary 5 course consolidates and extends the Secondary 3/4 content to the additional topics and greater depth required for the O-Level paper — including a thorough review of all O-Level Mathematics topics with a focus on examination technique and problem-solving strategies, extension work in quadratic functions and inequalities, further work with functions, graphs, and transformations, more challenging applications of trigonometry and mensuration, additional practice with cumulative frequency and box-and-whisker plots at the O-Level standard, further probability including conditional probability and combined events, and extended practice with examination-style questions across all topic areas of the Singapore-Cambridge O-Level Mathematics syllabus. Secondary 5 is the capstone G2 Mathematics course for N(A)-level students progressing to the full O-Level qualification, and its content is directly aligned to the Singapore Examinations and Assessment Board O-Level Mathematics syllabus.