Ready to print! Original HSC Practice Questions for Australian Curriculum Year 11/Year 12. Mathematics Advanced topic Trigonometric Identities and Equations. 3 sets of ten questions with solutions and marking criteria. Sets include a mixture of the following dot points: Find exact secant, cosecant and cotangent ratios for special triangles Using identities tan= sin/cos and cot = cos/sin to solve problems Complementary angles Evaluate trig expressions using angles of any magnitude Solving problems with answers in degrees and in radians Using the three Pythagorean identities Solve problems involving trigonometric equations on a restricted domain

Ready to print! Original HSC style questions for Australian Curriculum Year 11/Year 12 Mathematics Advanced topic Working with Functions (Algebraic Techniques sold as a separate file). Solutions and Marking Criteria included in each set. 8 sets of 10 questions including a mixture of the following: *Defining a function Using f(x) notation Defining the domain and range of f(x) for linear, quadratic, cubic, hyperbolic, exponential, circle, semicircle, absolute value and piecewise functions. Point-gradient formula Two-point formula Quadratics - find intercepts, axis of symmetry and vertex. Find the equation given the graph. Graph an equation. Cubics - determine the equation of the form kx^3 and k(x+a)(x+b)(x+c). Graphing cubics. Direct/Indirect variation Solve inequalities Circles - graphing, determine the equation (including completing the square to find centre and radius), identify and graph semicircles Determine even/odd algebraically Composite functions Interpreting and graphing piecewise functions Absolute value functions (graphing, solving equations)

Australian Curriculum (NSW) Year 11/Year 12 Mathematics Advanced Course Unit: Algebraic Techniques (Sub Topic of ‘Working with Functions’). This resource contains 5 practice sets of 9-10 questions each. The questions cover a range of dot points from the Algebraic Techniques syllabus, including: use index laws to simplify expressions expand, factorise and simplify algebraic expressions simplify expressions involving algebraic fractions simplify expressions involving surds rationalising the denominator solve quadratic equations by factorisation, completing the square and using the quadratic formula using the discriminant to solve problems Each practice set comes with fully worked solutions and marking criteria. Resources are ready to print for your class, or can be used on assessment tasks. All written by HSC Easy Tutors (NSW Maths Teachers).