Sec 1 G3 Mathematics topics
Browse the MOE topic list. Open a topic to see its scope and related guides.
MOE: topic names and scope by level.
Mentora: related guides may cover later material too.
Number and Algebra
N1Numbers and their operations
Prime factors; HCF and LCM; squares, cubes and roots; negative, rational and real numbers; calculator use; number lines; comparison; approximation and estimation.
Related Mentora guides
The existing guide is selected N1 practice and may include scope beyond this level view.
N2Ratio and proportion
Ratios involving rational numbers, simplest form and problems involving ratio.
Related Mentora guides
This shared guide also covers map scales and direct or inverse proportion shown in Sec 2.
N3Percentage
Percentage comparisons, values above 100%, percentage increase or decrease, percentage points, reverse percentages and contextual problems.
Related Mentora guides
N4Rate and speed
Average rate and speed, constant speed, unit conversions and problems involving rate or speed.
Related Mentora guides
N5Algebraic expressions and formulae
Algebraic notation and evaluation; translating simple situations; patterns and nth term; adding, subtracting and simplifying linear expressions; brackets and common factors.
Related Mentora guides
Use the guide sections on expression structure and expansion; quadratic factorisation belongs to the later Sec 2 scope.
N6Functions and graphs
Cartesian coordinates, ordered pairs, linear functions, straight-line graphs and gradient as vertical change divided by horizontal change.
Related Mentora guides
The shared guide also contains quadratic and later graph work; this map links only coordinates and linear graphs.
N7Equations and inequalities
The idea of an equation; solving linear equations in one variable, including simple fractional equations reducible to linear form; formulating an equation for a problem.
No matching guide yet.
Geometry and Measurement
G1Angles, triangles and polygons
Angle types, angles at a point and on a line, vertically opposite angles, parallel lines with a transversal, and properties of triangles.
Related Mentora guides
The existing guide includes additional quadrilateral and polygon work; use the section matching what has been taught.
G5Mensuration
Area of parallelograms and trapeziums; composite plane figures; prisms and cylinders; unit conversion; and composite-solid problems.
Related Mentora guides
The guide includes additional upper-level mensuration; this Sec 1 view names only the lower-secondary scope.
Statistics and Probability
S1Data handling and analysis
Collecting, classifying and tabulating data; interpreting tables, bar graphs, pictograms, line graphs and pie charts; considering their uses and possible misinterpretation.
Related Mentora guides
The existing statistics guide includes later measures and graphs beyond this Sec 1 scope.
How topics connect
Mentora revision suggestions, not an MOE teaching sequence.
- N1 → N2: Number operations and fraction equivalence support ratio calculations.
- N2 → N3: A ratio comparison can be expressed as a percentage once the reference quantity is clear.
- N2 → N4: Rate compares quantities with units, so proportional reasoning and unit conversion work together.
- N5 → N7: Simplifying expressions makes it easier to keep both sides of a linear equation balanced.
- N6 → N7: Coordinates and linear relationships connect a graph with an equation.
- G1 → G5: Angle and shape properties help identify dimensions before measuring area or volume.
Practise a focused skill
Curriculum source and scope
Topic codes and level groupings follow the MOE G2 and G3 Mathematics Syllabuses. MOE publishes this scope by secondary level; it is not a school-by-school term calendar. Class teaching order can vary. Reviewed 2026-09-26.