Real numbers and surds Revision Notes, Past Papers & Questions for SSCE HSC Mathematics Advanced

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Other SSCE HSC Mathematics Advanced topics to explore

Mathematics Advanced HSC

Absolute value functions

Mathematics Advanced HSC

Adding and subtracting algebraic fractions

Mathematics Advanced HSC

Adding and subtracting surds

Mathematics Advanced HSC

Algebraic fractions

Mathematics Advanced HSC

Angle properties of triangles

Mathematics Advanced HSC

Angle review

Mathematics Advanced HSC

Angles of any magnitude

Mathematics Advanced HSC

Angles of elevation and depression

Mathematics Advanced HSC

Applications of the exponential function

Mathematics Advanced HSC

Applications of trigonometric functions

Mathematics Advanced HSC

Approximate methods of integration – Simpson’s rule

Mathematics Advanced HSC

Approximate methods of integration – trapezoidal rule

Mathematics Advanced HSC

Approximations

Mathematics Advanced HSC

Approximations when x is small

Mathematics Advanced HSC

Arc length and sector area of a circle

Mathematics Advanced HSC

Area between two curves

Mathematics Advanced HSC

Area bounded by the y-axis

Mathematics Advanced HSC

Area formulae

Mathematics Advanced HSC

Area of a triangle

Mathematics Advanced HSC

Area under a curve

Mathematics Advanced HSC

Arithmetic series

Mathematics Advanced HSC

Average value of a function

Mathematics Advanced HSC

Basic polynomials

Mathematics Advanced HSC

Circles

Mathematics Advanced HSC

Completing the square

Mathematics Advanced HSC

Completing the square for non-monic equations

Mathematics Advanced HSC

Compound interest applications

Mathematics Advanced HSC

Conditions for differentiability

Mathematics Advanced HSC

Congruent triangles

Mathematics Advanced HSC

Continuity and gradients of tangents

Mathematics Advanced HSC

Coordinate methods in geometry

Mathematics Advanced HSC

Dependent events

Mathematics Advanced HSC

Derivatives of trigonometric functions

Mathematics Advanced HSC

Direction and bearing

Mathematics Advanced HSC

Equation of a straight line

Mathematics Advanced HSC

Equations reducible to quadratics

Mathematics Advanced HSC

Exact values of trigonometric ratios

Mathematics Advanced HSC

Exponential functions

Mathematics Advanced HSC

Exponential growth and decay

Mathematics Advanced HSC

Factorising by grouping in pairs

Mathematics Advanced HSC

Factorising non-monic trinomials

Mathematics Advanced HSC

Factorising quadratic trinomials

Mathematics Advanced HSC

Factorising using the difference of two squares

Mathematics Advanced HSC

Finding the derivative from first principles

Mathematics Advanced HSC

Finite geometric series

Mathematics Advanced HSC

Finite sample spaces

Mathematics Advanced HSC

Functions and relations

Mathematics Advanced HSC

Further applications of series

Mathematics Advanced HSC

Further examples involving discriminants

Mathematics Advanced HSC

Further locus

Mathematics Advanced HSC

General quadratic equations

Mathematics Advanced HSC

Gradient as a rate of change

Mathematics Advanced HSC

Gradient of a curve at a point

Mathematics Advanced HSC

Gradient of a straight line

Mathematics Advanced HSC

Graphical solution of equations

Mathematics Advanced HSC

Graphs of trigonometric functions

Mathematics Advanced HSC

Harder algebraic fractions

Mathematics Advanced HSC

Harder intercept properties of parallel lines

Mathematics Advanced HSC

Identity of two quadratic expressions

Mathematics Advanced HSC

Indefinite integrals

Mathematics Advanced HSC

Independent events

Mathematics Advanced HSC

Index laws with fractional indices

Mathematics Advanced HSC

Index laws with integers as indices

Mathematics Advanced HSC

Infinite geometric series

Mathematics Advanced HSC

Integrating the exponential function

Mathematics Advanced HSC

Intercept properties of parallel lines

Mathematics Advanced HSC

Intersection of two lines

Mathematics Advanced HSC

Introduction to probability

Mathematics Advanced HSC

Limit and continuity

Mathematics Advanced HSC

Linear equations in one variable

Mathematics Advanced HSC

Linear equations involving fractions

Mathematics Advanced HSC

Locus

Mathematics Advanced HSC

Logarithms

Mathematics Advanced HSC

Midpoint of an interval and distance between two points

Mathematics Advanced HSC

Mixed factorisations

Mathematics Advanced HSC

More areas

Mathematics Advanced HSC

More derivatives from first principles

Mathematics Advanced HSC

More trigonometric exact values

Mathematics Advanced HSC

Motion of a particle in a straight line

Mathematics Advanced HSC

Non-linear inequalities

Mathematics Advanced HSC

Other examples of motion

Mathematics Advanced HSC

Parabolas and discriminants

Mathematics Advanced HSC

Parallel lines

Mathematics Advanced HSC

Perpendicular distance of a point from a line

Mathematics Advanced HSC

Primitive functions

Mathematics Advanced HSC

Primitives of trigonometric functions

Mathematics Advanced HSC

Problem solving with derivatives

Mathematics Advanced HSC

Pythagoras’ theorem

Mathematics Advanced HSC

Quadratic equations

Mathematics Advanced HSC

Quadratic equations with non-rational solutions

Mathematics Advanced HSC

Quadratic equations without a constant term

Mathematics Advanced HSC

Quadratic equations without a linear term

Mathematics Advanced HSC

Quadratic functions

Mathematics Advanced HSC

Quadrilaterals and polygons

Mathematics Advanced HSC

Radian measure of an angle

Mathematics Advanced HSC

Rationalising denominators

Mathematics Advanced HSC

Regions and inequalities

Mathematics Advanced HSC

Relationship between roots and coefficients

Mathematics Advanced HSC

Repeating decimals

Mathematics Advanced HSC

Review of basics

Mathematics Advanced HSC

Scientific notation (standard form)

Mathematics Advanced HSC

Series and sigma notation

Mathematics Advanced HSC

Sign of a quadratic function

Mathematics Advanced HSC

Significant figures and decimal places

Mathematics Advanced HSC

Similar triangles

Mathematics Advanced HSC

Simple linear inequalities

Mathematics Advanced HSC

Simplifying algebraic expressions

Mathematics Advanced HSC

Simultaneous linear inequalities

Mathematics Advanced HSC

Sketching basic functions

Mathematics Advanced HSC

Sketching rational algebraic functions

Mathematics Advanced HSC

Solution of trigonometric equations

Mathematics Advanced HSC

Solution set of simultaneous equations

Mathematics Advanced HSC

Solving equations with exponents

Mathematics Advanced HSC

Solving equations with logarithms

Mathematics Advanced HSC

Solving quadratic equations by completing the square

Mathematics Advanced HSC

Substitution in formulae

Mathematics Advanced HSC

Successive outcomes

Mathematics Advanced HSC

Sum and difference of two cubes

Mathematics Advanced HSC

Tangents and normals to a curve

Mathematics Advanced HSC

The chain rule

Mathematics Advanced HSC

The cosine rule

Mathematics Advanced HSC

The definite integral and the area under a curve

Mathematics Advanced HSC

The definite integral and the primitive function

Mathematics Advanced HSC

The distributive law

Mathematics Advanced HSC

The first derivative and turning points

Mathematics Advanced HSC

The parabola as a locus

Mathematics Advanced HSC

The product rule

Mathematics Advanced HSC

The quadratic formula

Mathematics Advanced HSC

The quotient rule

Mathematics Advanced HSC

The second derivative and concavity

Mathematics Advanced HSC

The second derivative and turning points

Mathematics Advanced HSC

The sign of the derivative

Mathematics Advanced HSC

The sine rule

Mathematics Advanced HSC

Trigonometric graphs and equations

Mathematics Advanced HSC

Trigonometric identities

Mathematics Advanced HSC

Venn diagrams

Mathematics Advanced HSC

Volume of solids of revolution

Mathematics Advanced HSC

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