TAS · TASCQ&A

Specialist MathematicsQ&A by dot point

A short Q&A bank for every TAS Specialist Mathematics syllabus dot point. Each question and answer is drawn directly from our worked dot-point page, so you can scan key concepts before opening the long-form answer.

Unit 3

Sketch graphs involving absolute value and solve absolute value equations and inequalities.
2Q&A pairs
Represent complex numbers and their operations geometrically on the Argand diagram.
1Q&A pairs
Perform complex arithmetic in Cartesian form and use conjugate properties to divide and simplify.
3Q&A pairs
Represent complex numbers in Cartesian and polar form, perform arithmetic, and apply De Moivre's theorem.
2Q&A pairs
Form composite and inverse functions, determining the correct domain and range of each.
4Q&A pairs
Sketch curves and regions in the complex plane defined by modulus and argument conditions.
3Q&A pairs
Factorise polynomials over the complex field using the conjugate root theorem and the fundamental theorem of algebra.
3Q&A pairs
Apply implicit and parametric differentiation and use related rates to solve problems.
1Q&A pairs
Prove statements for all positive integers using the principle of mathematical induction.
1Q&A pairs
Sketch rational functions, identifying vertical, horizontal and oblique asymptotes.
0Q&A pairs
Sketch the reciprocal of a function, relating its features to those of the original function.
0Q&A pairs
Find the nth roots of unity and use their symmetry and algebraic properties.
0Q&A pairs
Sketch graphs using transformations and the addition of ordinates.
3Q&A pairs
Use 3D vectors with dot and cross products to find angles, projections, lines and planes.
2Q&A pairs

Unit 3

Unit 4