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 the topics listed in the SACE Mathematical Methods subject outline.  The revision guides contain questions listed by topic, trial examinations based on past Mathematical Methods papers, and the SACE Examination Papers from 2018 to 2024. Fully worked solutions for all questions are included. 

Year Published: 2022
Online ISBN: 978-1-922416-57-5 (9781922416575)

Table of Contents

MASA Year 12 Mathematical Methods Study and Revision Guide

  EXAMINATION FORMULA SHEET 5
  STATISTICS (INCLUDES DISCRETE AND RANDOM VARIABLES) 7
    Key facts and concepts 7
    General questions 10
  TRIGONOMETRIC FUNCTIONS 17
    Key facts and concepts 17
    General questions 20
  DIFFERENTIAL CALCULUS (INCLUDES EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 23
    Key facts and concepts 23
    General questions 30
  INTEGRAL CALCULUS 41
    Key facts and concepts 41
    General questions 43
  CONJECTURE QUESTIONS 52
  SHORTER QUESTIONS 59
    Shorter questions (Set 1) 59
    Shorter questions (Set 2) 61
    Shorter questions (Set 3) 62
    Shorter questions (Set 4) 64
  LONGER QUESTIONS 67
    Longer questions (Set 1) 67
    Longer questions (Set 2) 68
    Longer questions (Set 3) 69
    Longer questions (Set 4) 71
    Longer questions (Set 5) 74
  SAMPLE EXAMINATION QUESTIONS 1 78
  SAMPLE EXAMINATION QUESTIONS 2 84
  SAMPLE EXAMINATION QUESTIONS 3 89
  2018 EXAMINATION PAPER 94
  2019 EXAMINATION PAPER 101
  2020 EXAMINATION PAPER 108
  2021 EXAMINATION PAPER 114
  2022 EXAMINATION PAPER 120
  2023 EXAMINATION PAPER 127
  2024 EXAMINATION PAPER 135
  SOLUTIONS 142
    Statistics 142
    Trigonometric functions 154
    Differential calculus 160
    Integral calculus 188
    Conjecture questions 214
    Shorter questions (Set 1) 226
    Shorter questions (Set 2) 228
    Shorter questions (Set 3) 232
    Shorter questions (Set 4) 234
    Longer questions (Set 1) 236
    Longer questions (Set 2) 240
    Longer questions (Set 3) 243
    Longer questions (Set 4) 246
    Longer questions (Set 5) 249
    Sample Examination questions 1 253
    Sample Examination questions 2 259
    Sample Examination questions 3 264
    2018 Examination Paper 269
    2019 Examination Paper 276
    2020 Examination Paper 284
    2021 Examination Paper 289
    2022 Examination Paper 294
    2023 Examination Paper 300
    2024 Examination Paper 305