HSC Mathematics Extension 2 Practice Questions
What this Mathematics Extension 2 set covers
These 5 questions are written to the NESA Mathematics Extension 2 Stage 6 Syllabus (2017), the Year 12 HSC course in 5 topics and 134 syllabus dot points. Extension 2 assumes the Mathematics Advanced and Extension 1 content, and its performance bands run from E1 to E4.
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 27 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 Extension 2 bank and marks photos of your handwritten working against the same criteria.
- Question 1: Calculus (5 marks)
- Question 2: Complex Numbers (5 marks)
- Question 3: Complex Numbers (5 marks)
- Question 4: Mechanics (6 marks)
- Question 5: Proof (6 marks)
- Proof22 dot pointsMEX-P1 The Nature of Proof; MEX-P2 Further Proof by Mathematical Induction
- Vectors20 dot pointsMEX-V1 Further Work with Vectors — V1.1: Introduction to three-dimensional vectors; MEX-V1 Further Work with Vectors — V1.2: Further operations with three-dimensional vectors; MEX-V1 Further Work with Vectors — V1.3: Vectors and vector equations of lines
- Complex Numbers52 dot pointsMEX-N1 Introduction to Complex Numbers — N1.1: Arithmetic of complex numbers; MEX-N1 Introduction to Complex Numbers — N1.2: Geometric representation of a complex number; MEX-N1 Introduction to Complex Numbers — N1.3: Other representations of complex numbers; MEX-N2 Using Complex Numbers — N2.1: Solving equations with complex numbers; MEX-N2 Using Complex Numbers — N2.2: Geometrical implications of complex numbers
- Calculus8 dot pointsMEX-C1 Further Integration
- Mechanics32 dot pointsMEX-M1 Applications of Calculus to Mechanics — M1.1: Simple harmonic motion; MEX-M1 Applications of Calculus to Mechanics — M1.2: Modelling motion without resistance; MEX-M1 Applications of Calculus to Mechanics — M1.3: Resisted motion; MEX-M1 Applications of Calculus to Mechanics — M1.4: Projectiles and resisted motion
Which syllabus do these Mathematics Extension 2 questions follow?
They follow the NESA Mathematics Extension 2 Stage 6 Syllabus (2017), which has 5 topics and 134 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 27 marks in total, covering Calculus, Complex Numbers, Mechanics, Proof. 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 Extension 2 bank across all 5 topics, marks photos of your handwritten working against the same criteria, and tracks your progress by topic.