Real Numbers
The Fundamental Theorem of Arithmetic and proofs of irrationality.
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The Fundamental Theorem of Arithmetic and proofs of irrationality.
Zeroes of a polynomial and the relationship between zeroes and coefficients.
Graphical and algebraic methods of solving a pair of linear equations.
Solving quadratic equations by factorisation and the quadratic formula.
Finding the nth term and the sum of the first n terms of an AP.
Similarity of triangles and the Basic Proportionality Theorem.
Distance formula and section formula for internal division.
Trigonometric ratios of acute angles and standard trigonometric identities.
Heights and distances using angles of elevation and depression.
Tangents to a circle and their properties.
Area and circumference of circles, sectors and segments.
Surface area and volume of combined solid shapes.
Mean, median and mode of grouped data.
Theoretical probability of simple events.
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