NMTC Elite
Masterclass.

Standards 5 and 6

• Arithmetic: Fractions, percentages, profit/loss, LCM, HCF, tests of divisibility, ratio/proportion, calendar logic.
• Mensuration: Triangles, Quadrilaterals, Circles.
• Algebra: Literal arithmetic, manipulating simple algebraic expressions.
• Geometry: Straight lines, parallel lines, angle properties of polygons.

Standards 7 and 8

• Arithmetic: Roots, allegation, averages, time/work/distance, races, games of skill.
• Mensuration (3D): Cubes, cuboids, spheres, cones, cylinders, pyramids.
• Algebra & Geo: Equations of degree 1 & 2, surds, factorization. Triangle inequalities, Pythagoras theorem.
• Number Theory: Prime and composite numbers, advanced divisibility.

Standards 9 and 10

• Algebra: Quadratic/higher degree equations, logarithms, remainder theorem, mathematical induction, inequalities.
• Geometry: Circle theorems, cyclic quadrilaterals, Apollonius & Stewart's theorems.
• Number Theory: Modular arithmetic, greatest integer functions.
• Combinatorics: Pigeonhole principle, Inclusion-Exclusion, permutations/combinations.

Standards 11 and 12

• Algebra: Complex polynomials, Cauchy-Schwarz inequalities, functional equations.
• Geometry: Advanced trigonometry, vectors, coordinate geometry, complex number methods.
• Number Theory: Fermat and Wilson theorems, Diophantine equations.
• Combinatorics: Advanced counting techniques, recurrence relations.