About the Book

This publication was updated on August 1, 2025. New questions were added to address areas of concern raised in the SACE subject assessment advice, plus a map of which questions belong to which syllabus subtopics.

This Revision Guide provides essential preparation for the final SACE assessments, covering all topics listed in the subject outline for Specialist Mathematics. The revision guides contain questions listed by topic, trial examinations based on past Specialist Mathematics papers, and the SACE Examination Papers from 2018 to 2024. Fully worked solutions to all questions are included.

Year Published: 2022
Online ISBN: 978-1-922416-58-2 (9781922416582)

Table of Contents

MASA Year 12 Specialist Mathematics Study and Revision Guide

  MATHEMATICAL INDUCTION 9
  COMPLEX NUMBERS 11
  FUNCTIONS AND SKETCHING GRAPHS 15
  VECTORS IN 3D 16
  INTEGRATION TECHNIQUES AND APPLICATIONS 19
  RATES OF CHANGE AND DIFFERENTIAL EQUATIONS 21
  MISCELLANEOUS QUESTIONS 27
  SECTION A QUESTIONS 32
    Section A (Set 1) 32
    Section A (Set 2) 32
    Section A (Set 3) 33
  SECTION B QUESTIONS 35
    Section B (Set 1) 35
    Section B (Set 2) 36
    Section B (Set 3) 37
  PRACTICE PAPER 39
  SAMPLE EXAMINATION QUESTIONS 1 44
  SAMPLE EXAMINATION QUESTIONS 2 50
  SAMPLE EXAMINATION QUESTIONS 3 56
  2018 EXAMINATION PAPER 61
  2019 EXAMINATION PAPER 67
  2020 EXAMINATION PAPER 73
  2021 EXAMINATION PAPER 78
  2022 EXAMINATION PAPER 83
  2023 EXAMINATION PAPER 89
  2024 EXAMINATION PAPER 96
  SOLUTIONS 102
    Mathematical induction 102
    Complex numbers 116
    Functions and sketching graphs 134
    Vectors in 3D 140
    Integration techniques and applications 151
    Rates of change and differential equations 158
    Miscellaneous questions 178
    Section A (Set 1) 186
    Section A (Set 2) 188
    Section A (Set 3) 191
    Section B (Set 1) 194
    Section B (Set 2) 198
    Section B (Set 3) 200
    Practice Paper 206
    Sample Examination questions 1 216
    Sample Examination questions 2 227
    Sample Examination questions 3 236
    2018 Examination Paper 242
    2019 Examination Paper 254
    2020 Examination Paper 263
    2021 Examination Paper 269
    2022 Examination Paper 276
    2023 Examination Paper 284
    2024 Examination Paper 291
  SUMMARY OF FORMULAE AND IMPORTANT RESULTS 298