HSC Mathematics Advanced Practice Questions
What this Mathematics Advanced set covers
These 5 questions are written to the NESA Mathematics Advanced Stage 6 Syllabus (2017), the Year 12 HSC course in 8 topics and 146 syllabus dot points. Mathematics Advanced is the base course that Extension 1 and Extension 2 build on, and it is reported in performance bands 1 to 6.
The HSC examination is a 3-hour paper (plus 10 minutes of reading time) worth 100 marks: Section I is 10 multiple-choice questions and Section II is 90 marks of extended-response questions. The set below is worth 30 marks across 5 questions, and each one is built on a single syllabus dot point, so a gap you find here points straight at the dot point to revise.
Every question carries its own marking criteria, with the marks shown beside each line in the wording an examiner uses. Attempt the question first, reveal the criteria, then award yourself only the marks your working earns. A free account opens the rest of the Mathematics Advanced bank and marks photos of your handwritten working against the same criteria.
- Question 1: Applications of Differentiation (6 marks)
- Question 2: Applications of Differentiation (6 marks)
- Question 3: Integral Calculus (6 marks)
- Question 4: Trigonometric Functions and Graphs (6 marks)
- Question 5: Differential Calculus (6 marks)
- Graphing Techniques9 dot pointsTransformations; Graphing and solving
- Trigonometric Functions and Graphs5 dot pointsTransformations of trigonometric functions
- Differential Calculus11 dot pointsDifferentiation of trigonometric, exponential and logarithmic functions; Rules of differentiation
- Applications of Differentiation15 dot pointsThe first and second derivatives; Applications of the derivative
- Integral Calculus32 dot pointsThe anti-derivative; Areas and the definite integral
- Financial Mathematics22 dot pointsModelling investments and loans; Arithmetic sequences and series; Geometric sequences and series; Financial applications of sequences and series
- Descriptive Statistics and Bivariate Data Analysis25 dot pointsData (grouped and ungrouped) and summary statistics; Bivariate data analysis
- Random Variables27 dot pointsContinuous random variables; The normal distribution
Which syllabus do these Mathematics Advanced questions follow?
They follow the NESA Mathematics Advanced Stage 6 Syllabus (2017), which has 8 topics and 146 dot points. Each question is written against a single dot point, and the topic shown above it is the syllabus topic it belongs to.
Are these the questions I will see on my exam?
No. They are 5 real exam-style questions worth 30 marks in total, covering Applications of Differentiation, Integral Calculus, Trigonometric Functions and Graphs, Differential Calculus. The HSC examination is a 3-hour paper (plus 10 minutes of reading time) worth 100 marks: Section I is 10 multiple-choice questions and Section II is 90 marks of extended-response questions.
Why are the marking criteria hidden until you reveal them?
Reading the marking criteria before attempting the question teaches you almost nothing. Attempt it first, then reveal the criteria and tick off the marks your working earns, line by line, the way a marker would.
Do I need an account to use this page?
No. The set on this page is free and nothing is saved. A free account opens the rest of the Mathematics Advanced bank across all 8 topics, marks photos of your handwritten working against the same criteria, and tracks your progress by topic.