Each cluster shows where the same content lives in other major curricula, plus open‑licensed resources curated underneath. Sources are official ministry documents — never inferred.
Integers, fractions, decimals, percentages, ratios; powers, roots, indices, standard form; surds and rationalising denominators (Extended).
Australia ACARA≈ OVERLAPS
Number — Year 10
IGCSE Number includes standard form + surds (Extended); ACARA Y10 Number covers surds, index laws, logs introduction.
India CBSE / NCERT≈ OVERLAPS
CBSE Class 10 — Real Numbers, Polynomials, Algebra
CBSE Class 10 Real Numbers covers Euclid's lemma + fundamental theorem of arithmetic; IGCSE goes broader (percentages, ratios, surds).
CLUSTER 02 · 9
IGCSE 0580.2 Algebra and graphs
Algebraic manipulation, indices, equations and inequalities; quadratic equations by factorising, completing the square, and the formula; functions, inverse and composite functions; differentiation of polynomials (Extended).
Australia ACARA≡ EQUIVALENT
Algebra — Year 10
Quadratics by factorising + completing square + formula; algebraic fractions; simultaneous linear and non-linear systems.
UK National Curriculum≡ EQUIVALENT
Quadratics, functions, sequences (Y11)
UK Y11 Quadratics/functions/sequences matches IGCSE algebra strand closely.
India CBSE / NCERT≈ OVERLAPS
CBSE Class 10 — Real Numbers, Polynomials, Algebra
CBSE Class 10 algebra covers polynomials, pair of linear equations, quadratics, APs — overlaps but IGCSE adds functions/derivatives at Extended.
Geometrical terms, constructions, similarity and congruence; symmetry; angle properties of polygons; circle theorems including alternate segment (Extended).
Units of measure; perimeter and area of plane shapes; surface area and volume of prisms, cylinders, pyramids, cones and spheres; arc length and sector area; compound shapes.
UK National Curriculum≡ EQUIVALENT
Mensuration & 3D (Y11)
Surface area and volume of pyramids, cones, spheres, frustums, composite solids; arc length, sector area.
Australia ACARA≡ EQUIVALENT
Measurement — Year 10
ACARA Y10 Measurement: SA/V of pyramids, cones, spheres, composite solids.
US Common Core≡ EQUIVALENT
Geometric Measurement and Dimension (G.GMD + G.MG)
US G.GMD/G.MG: volume formulas + modelling with geometry.
India CBSE / NCERT≡ EQUIVALENT
CBSE Class 10 — Mensuration
CBSE Class 10 Mensuration: areas related to circles + SA/V of combined solids.
Pythagoras and right-triangle trigonometry; trigonometric ratios for any angle; sine and cosine rules; area of a triangle using ½ab sin C; bearings and 3-D applications (Extended).
UK National Curriculum≡ EQUIVALENT
Trigonometry (Y11)
Right-triangle + general-triangle trig; sine and cosine rules; ½ab sin C; exact angle values.
US Common Core≡ EQUIVALENT
Similarity, Right Triangles, and Trigonometry (G.SRT)
US G.SRT: trig ratios in right triangles + Law of Sines/Cosines.
Australia ACARA≈ OVERLAPS
Measurement — Year 10
ACARA bundles non-right trig under Measurement; sine/cosine rules sit in optional 10A.
Probability scale and single-event probability; relative frequency; possibility diagrams; tree diagrams; combined events; conditional probability (Extended).
UK National Curriculum≈ OVERLAPS
Statistics & probability (Y11)
UK Y11 combines stats + probability in one strand; IGCSE separates them.
Australia ACARA≡ EQUIVALENT
Probability — Year 10
ACARA Y10 Probability: conditional probability, independence, tree diagrams, two-way tables.
India CBSE / NCERT≈ OVERLAPS
CBSE Class 10 — Statistics & Probability
CBSE Class 10 uses classical definition of probability — IGCSE goes further with tree diagrams and conditional.