HSC Extension One Maths Parametric Equations Exam

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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.

A page displaying a multiple-choice math quiz titled 'Parametric Equations', with three questions about circles, parabolas, and parameterization of functions.
A multiple-choice math question with four graphs labeled A, B, C, and D. The question asks which graph matches the parametric equations x = 2 cosine(t), y = 7 sine squared(t). Graph A shows an ellipse, B shows a circle with a larger radius, C shows a
Math exam question asking which parameterization correctly represents a given graph. The graph is a linear line passing through the origin, with a positive slope, plotted on a Cartesian coordinate plane.
A math exam page with questions involving equations, conversions, and graphing. The page is marked as question 6 and includes several parts labeled (a), (b), (c), and (d), with instructions and spaces for answers.
A page titled 'Solutions' containing mathematical solutions, including equations and explanations related to circles and parabolas.
A math worksheet containing multiple-choice questions and algebraic equations involving variables, exponents, and functions with options labeled A, B, C, and D.
Page of mathematical text with equations, solutions, and explanations, including lines, points, and functions, on a white background.
A page of mathematical calculations and equations, including functions, trigonometric identities, and algebraic expressions.
A math worksheet featuring quadratic functions, vertex calculations, and a parabola graph.
A page of mathematical solutions, including equations and calculations for Cartesian and linear equations.

Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s parametric equations topic test and the parametric equations questions in the HSC.

  • Express linear and quadratic functions and circles in parametric form

  • Convert between cartesian and parametric form