Key definitions, formulas and a worked example from each set of notes.
Integers and rational numbers
Notes on Integers and rational numbers — Sec 1, by Intuitional.
Numbers and Their Operations (G2 = G3, near-identical)
Worksheet on Numbers and Their Operations (G2 = G3, near-identical) — Sec 2 Math, by Intuitional.
Ratio and Proportion (G2 = G3)
Worksheet on Ratio and Proportion (G2 = G3) — Sec 2 Math, by Intuitional.
Percentage (G2 = G3 — verified: full list incl. **reverse percentages at Sec 1 for BOTH**; G2 adds explicit "percentage as fraction/decimal" and "finding percentage increase/decrease" sub-points)
Worksheet on Percentage (G2 = G3 — verified: full list incl. **reverse percentages at Sec 1 for BOTH**; G2 adds explicit "percentage as fraction/decimal" and "finding percentage increase/decrease" sub-points) — Sec 2 Math, by Intuitional.
Algebraic Expressions and Formulae (verified: G3 Sec 1 includes fractional-coefficient simplification + extracting common factors; in G2 both arrive Sec 2 — G2 Sec 1 is integral coefficients only, e.g. 4x − 2(3x−5))
Worksheet on Algebraic Expressions and Formulae (verified: G3 Sec 1 includes fractional-coefficient simplification + extracting common factors; in G2 both arrive Sec 2 — G2 Sec 1 is integral coefficients only, e.g. 4x − 2(3x−5)) — Sec 2 Math, by Intuitional.
Equations (verified: G3 Sec 1 incl. fractional equations; G2 Sec 1 = linear equations with **integral coefficients** only — fractional coefficients AND fractional equations → G2 Sec 2)
Notes on Equations (verified: G3 Sec 1 incl. fractional equations; G2 Sec 1 = linear equations with **integral coefficients** only — fractional coefficients AND fractional equations → G2 Sec 2) — Sec 2 Math, by Intuitional.
Functions and Graphs — linear (G3 Sec 1; **in G2 this whole topic is Sec 2**)
Notes on Functions and Graphs — linear (G3 Sec 1; **in G2 this whole topic is Sec 2**) — Sec 2 Math, by Intuitional.
Angles, Triangles and Polygons (verified split: G3 = all of this at Sec 1. **G2 Sec 1 = angle types, angles at point/straight line/vertically opposite, parallel lines + transversal, triangle properties only**; special quadrilaterals, regular polygons, interior/exterior angle sums, constructions → G2 Sec 2)
Exam Paper on Angles, Triangles and Polygons (verified split: G3 = all of this at Sec 1. **G2 Sec 1 = angle types, angles at point/straight line/vertically opposite, parallel lines + transversal, triangle properties only**; special quadrilaterals, regular polygons, interior/exterior angle sums, constructions → G2 Sec 2) — Sec 2 Math, by Intuitional.
Mensuration (G2 = G3 Sec 1 — verified: prism & cylinder volume/surface area, composite solids, and cm²/m² & cm³/m³ conversions are ALL Sec 1 in both streams)
Worksheet on Mensuration (G2 = G3 Sec 1 — verified: prism & cylinder volume/surface area, composite solids, and cm²/m² & cm³/m³ conversions are ALL Sec 1 in both streams) — Sec 2 Math, by Intuitional.
Data Handling and Analysis (G2 = G3)
Worksheet on Data Handling and Analysis (G2 = G3) — Sec 2 Math, by Intuitional.
Ratio and Proportion — Map Scales, Direct & Inverse Proportion (G2 = G3 Sec 2)
Notes on Ratio and Proportion — Map Scales, Direct & Inverse Proportion (G2 = G3 Sec 2) — Sec 2 Math, by Intuitional.
Practical Situations — Money in Everyday Life (percentage of an amount, discount, GST, profit and loss in dollars, percentage increase and decrease in price, best buy, money exchange)
Worksheet on Practical Situations — Money in Everyday Life (percentage of an amount, discount, GST, profit and loss in dollars, percentage increase and decrease in price, best buy, money exchange) — Sec 1/2 G1 Math, by Intuitional.
Functions and Graphs — Quadratic (verified: G3 Sec 2; **G2 → Sec 3/4**)
Worksheet on Functions and Graphs — Quadratic (verified: G3 Sec 2; **G2 → Sec 3/4**) — Sec 2 Math, by Intuitional.
Mensuration — Pyramid, Cone, Sphere (G3 Sec 2; G2 Sec 2 — per G2 content tables)
Notes on Mensuration — Pyramid, Cone, Sphere (G3 Sec 2; G2 Sec 2 — per G2 content tables) — Sec 2 Math, by Intuitional.
Rate and Speed (G2 = G3)
Worksheet on Rate and Speed (G2 = G3) — Sec 2 Math, by Intuitional.
Algebraic Expressions and Formulae — Expansion, Factorisation, Algebraic Fractions (verified: **both streams** have identities, quadratic factorisation ax²+bx+c, expansion of two linear expressions, and ×/÷ of algebraic fractions at Sec 2; G3 Sec 2 additionally has grouping factorisation, add/subtract algebraic fractions, general expansion, and subject change — all four of which are **Sec 3/4 in G2**)
Notes on Algebraic Expressions and Formulae — Expansion, Factorisation, Algebraic Fractions (verified: **both streams** have identities, quadratic factorisation ax²+bx+c, expansion of two linear expressions, and ×/÷ of algebraic fractions at Sec 2; G3 Sec 2 additionally has grouping factorisation, add/subtract algebraic fractions, general expansion, and subject change — all four of which are **Sec 3/4 in G2**) — Sec 2 Math, by Intuitional.
Data Analysis — Dot Diagrams, Histograms, Stem-and-Leaf, Averages (G2 = G3 Sec 2)
Worksheet on Data Analysis — Dot Diagrams, Histograms, Stem-and-Leaf, Averages (G2 = G3 Sec 2) — Sec 2 Math, by Intuitional.
Probability — Single Events (G3 Sec 2; G2 Sec 2 — per G2 content tables)
Notes on Probability — Single Events (G3 Sec 2; G2 Sec 2 — per G2 content tables) — Sec 2 Math, by Intuitional.
G1 (old N(T)) — brief differences at lower sec
Worksheet on G1 (old N(T)) — brief differences at lower sec — Sec 2 Math, by Intuitional.
Equations and Inequalities — Linear Inequalities, Simultaneous Equations, Quadratic Equations (verified: inequalities + simultaneous equations Sec 2 in both; **G2 Sec 2 inequalities limited to ax ≤ b / ax ≥ b / ax < b / ax > b with integer a, b** — the ax+b<c form is G3; quadratic equations by factorisation G3 Sec 2, **G2 → Sec 3/4**)
Worksheet on Equations and Inequalities — Linear Inequalities, Simultaneous Equations, Quadratic Equations (verified: inequalities + simultaneous equations Sec 2 in both; **G2 Sec 2 inequalities limited to ax ≤ b / ax ≥ b / ax < b / ax > b with integer a, b** — the ax+b<c form is G3; quadratic equations by factorisation G3 Sec 2, **G2 → Sec 3/4**) — Sec 2 Math, by Intuitional.
EOY Mock
Exam Paper on EOY Mock — Lower Secondary G3, by Intuitional.
Congruence and Similarity (verified: core — congruent figures, similar figures, similar-triangle/polygon properties — is Sec 2 in **both** streams; **enlargement/reduction is G3 Sec 2 but G2 → Sec 3/4**; **scale drawings are Sec 3/4 in BOTH**)
Notes on Congruence and Similarity (verified: core — congruent figures, similar figures, similar-triangle/polygon properties — is Sec 2 in **both** streams; **enlargement/reduction is G3 Sec 2 but G2 → Sec 3/4**; **scale drawings are Sec 3/4 in BOTH**) — Sec 2 Math, by Intuitional.
Geometry: angles, triangles and quadrilaterals
Notes on Geometry: angles, triangles and quadrilaterals — Sec 1/2 G1 Math, by Intuitional.
Worksheet on Geometry: angles, triangles and quadrilaterals — Sec 1/2 G1 Math, by Intuitional.
Pythagoras' Theorem and Trigonometry (G3 Sec 2; G2: Pythagoras Sec 2, trig ratios Sec 3/4 — per G2 content tables)
Worksheet on Pythagoras' Theorem and Trigonometry (G3 Sec 2; G2: Pythagoras Sec 2, trig ratios Sec 3/4 — per G2 content tables) — Sec 2 Math, by Intuitional.
Notes on Numbers and Their Operations (G2 = G3, near-identical) — Sec 2 Math, by Intuitional.
Worksheet on Equations (verified: G3 Sec 1 incl. fractional equations; G2 Sec 1 = linear equations with **integral coefficients** only — fractional coefficients AND fractional equations → G2 Sec 2) — Sec 2 Math, by Intuitional.
Notes on Ratio and Proportion (G2 = G3) — Sec 2 Math, by Intuitional.
Worksheet on Functions and Graphs — linear (G3 Sec 1; **in G2 this whole topic is Sec 2**) — Sec 2 Math, by Intuitional.
Notes on Percentage (G2 = G3 — verified: full list incl. **reverse percentages at Sec 1 for BOTH**; G2 adds explicit "percentage as fraction/decimal" and "finding percentage increase/decrease" sub-points) — Sec 2 Math, by Intuitional.
Worksheet on Algebraic Expressions and Formulae — Expansion, Factorisation, Algebraic Fractions (verified: **both streams** have identities, quadratic factorisation ax²+bx+c, expansion of two linear expressions, and ×/÷ of algebraic fractions at Sec 2; G3 Sec 2 additionally has grouping factorisation, add/subtract algebraic fractions, general expansion, and subject change — all four of which are **Sec 3/4 in G2**) — Sec 2 Math, by Intuitional.
Integers & Rational Numbers
Visual explainers for integer operations, order of operations, and calculator pitfalls.
Polygons & Angles
Quick-fire drills with annotated solutions focusing on angle chasing and triangle proofs.