HSC Mathematics Extension 1 Practice Questions
What this Mathematics Extension 1 set covers
These 5 questions are written to the NESA Mathematics Extension 1 Stage 6 Syllabus (2017), the Year 12 HSC course in 5 topics and 91 syllabus dot points. Extension 1 is studied alongside Mathematics Advanced, and its performance bands run from E1 to E4.
The HSC examination is a 2-hour paper (plus 10 minutes of reading time) worth 70 marks: Section I is 10 multiple-choice questions and Section II is 60 marks of extended-response questions. The set below is worth 24 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 1 bank and marks photos of your handwritten working against the same criteria.
- Question 1: Calculus (4 marks)
- Question 2: Proof (5 marks)
- Question 3: Statistical Analysis (5 marks)
- Question 4: Vectors (5 marks)
- Question 5: Vectors (5 marks)
- Proof6 dot pointsME-P1 Proof by Mathematical Induction
- Vectors41 dot pointsME-V1 Introduction to Vectors — V1.1: Introduction to vectors; ME-V1 Introduction to Vectors — V1.2: Further operations with vectors; ME-V1 Introduction to Vectors — V1.3: Projectile motion
- Trigonometric Functions4 dot pointsME-T3 Trigonometric Equations
- Calculus23 dot pointsME-C2 Further Calculus Skills; ME-C3 Applications of Calculus — C3.1: Further area and volumes of solids of revolution; ME-C3 Applications of Calculus — C3.2: Differential equations
- Statistical Analysis17 dot pointsME-S1 The Binomial Distribution — S1.1: Bernoulli and binomial distributions; ME-S1 The Binomial Distribution — S1.2: Normal approximation for the sample proportion
Which syllabus do these Mathematics Extension 1 questions follow?
They follow the NESA Mathematics Extension 1 Stage 6 Syllabus (2017), which has 5 topics and 91 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 24 marks in total, covering Calculus, Proof, Statistical Analysis, Vectors. The HSC examination is a 2-hour paper (plus 10 minutes of reading time) worth 70 marks: Section I is 10 multiple-choice questions and Section II is 60 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 1 bank across all 5 topics, marks photos of your handwritten working against the same criteria, and tracks your progress by topic.