Here is a concise summary of the 2027 Singapore-Cambridge Secondary Education Certificate G3 Mathematics Syllabus K310.

1. Overall focus

The syllabus develops students’ mathematical knowledge and skills across three main strands:

Strand	What it covers
Number and Algebra	Numbers, percentages, algebra, equations, graphs, sets and matrices
Geometry and Measurement	Angles, triangles, circles, trigonometry, mensuration, coordinate geometry and vectors
Statistics and Probability	Data handling, statistical diagrams, averages, spread and probability

The syllabus also emphasises reasoning, communication, application and problem-solving, including real-world contexts.

---

2. Assessment objectives

Objective	Weighting	What students must do
AO1: Use and apply standard techniques	45%	Recall facts, use notation, read tables/graphs/diagrams, carry out routine procedures
AO2: Solve problems in various contexts	40%	Interpret information, select methods, connect topics, solve real-world problems
AO3: Reason and communicate mathematically	15%	Justify statements, explain reasoning, write mathematical arguments

---

3. Exam format

Paper	Duration	Marks	Weighting	Description
Paper 1	2 h 15 min	90	50%	About 26 short-answer questions; all questions compulsory
Paper 2	2 h 15 min	90	50%	9–10 longer questions; all compulsory; final question focuses on a real-world scenario

An approved calculator is allowed in both Paper 1 and Paper 2.

---

4. Subject content summary

A. Number and Algebra

Topic	Key content
N1 Numbers and operations	Prime factorisation, HCF, LCM, integers, rational/real numbers, number line, approximation, estimation, standard form, indices
N2 Ratio and proportion	Simplifying ratios, map scales, direct and inverse proportion
N3 Percentage	Percentage comparison, increase/decrease, percentages above 100%, reverse percentages
N4 Rate and speed	Average rate, average speed, unit conversion such as km/h to m/s
N5 Algebraic expressions and formulae	Algebraic notation, substitution, expansion, factorisation, formulae, nth term, quadratic expressions, algebraic fractions
N6 Functions and graphs	Coordinates, linear graphs, quadratic graphs, gradients, power functions, exponential functions, tangent to a curve
N7 Equations and inequalities	Linear equations, simultaneous equations, quadratic equations, fractional equations, inequalities and problem formulation
N8 Set language and notation	Union, intersection, complement, subsets, empty set, Venn diagrams
N9 Matrices	Displaying data in matrices, scalar multiplication, matrix addition and multiplication where appropriate

---

B. Geometry and Measurement

Topic	Key content
G1 Angles, triangles and polygons	Angle properties, parallel lines, polygons, quadrilaterals, constructions
G2 Congruence and similarity	Similar and congruent figures, scale drawings, area/volume ratios, perpendicular and angle bisectors
G3 Properties of circles	Circle symmetry, chords, tangents, angle properties, angles in same/opposite segments
G4 Pythagoras and trigonometry	Pythagoras’ theorem, sine/cosine/tangent, sine rule, cosine rule, area of triangle, bearings, elevation/depression, 2D and 3D problems
G5 Mensuration	Area, perimeter, volume, surface area, composite shapes, arc length, sector area, segment area, radians
G6 Coordinate geometry	Gradient, length of line segment, equation of straight line, coordinate-based geometry problems
G7 Vectors in two dimensions	Vector notation, translation, position vectors, magnitude, vector addition/subtraction, scalar multiplication, geometry with vectors

---

C. Statistics and Probability

Topic	Key content
S1 Data handling and analysis	Tables, bar graphs, pictograms, line graphs, pie charts, dot diagrams, histograms, stem-and-leaf diagrams, cumulative frequency, box plots, mean, median, mode, quartiles, percentiles, range, interquartile range and standard deviation
S2 Probability	Probability of single events, combined events, possibility diagrams, tree diagrams, mutually exclusive events and independent events

---

5. Real-world problem-solving

The syllabus includes questions based on real-life contexts such as:

Context	Examples
Everyday life	Travel plans, transport schedules, sports, recipes, floor plans, navigation
Finance	Simple and compound interest, taxation, instalments, utilities bills, money exchange
Data interpretation	Tables, graphs, distance-time graphs and speed-time graphs

The last question in Paper 2 specifically focuses on applying mathematics to a real-world scenario.

---

6. What students should prioritise

Priority area	Why it matters
Algebra and equations	Forms the backbone of many topics, including graphs and problem-solving
Graphs and functions	Important for both pure math and real-world interpretation
Geometry and trigonometry	Requires strong visual reasoning and formula use
Mensuration	Common in real-world and composite-shape questions
Statistics	Data interpretation is heavily linked to real-life contexts
Clear working	Omission of essential working can lead to loss of marks
Problem-solving practice	Paper 2 includes longer, multi-step real-world questions

Overall, G3 Mathematics K310 is a broad mathematics syllabus that tests not only calculation skills, but also application, reasoning, communication and real-world problem-solving.