FREE Maths trial exams, VCAA and HSC maths exam solutions
Students completing their final years of high school can download these FREE maths exams and trial exams produced by itute.com.
You can also download the original exams by going to the VCAA Exams and Assessment Reports.
We are beginning to add resources for NSW students, who can obtain original exams by going to the Board of Studies NSW website.
2017
Free VCAA exams
2017 Mathematical Methods Trial Exam 1 – PDF 73KB
2017 Mathematical Methods Trial Exam 1 Solutions – PDF 49KB
2016
Free VCAA exams
2016 VCAA Further Mathematics Sample (v2 April) Exam 1 Solutions – PDF 56KB
2016 VCAA Further Mathematics Sample (v3 July) Exam 2 Solutions – PDF 508KB
2016 VCAA Specialist Mathematics Sample (v2 April) Exam 2 Solutions – PDF 127KB
2016 VCAA Mathematical Methods Sample (v2 April) Exam 2 Solutions 2 – PDF 75KB
2016 VCAA Mathematical Methods Sample (v2 April) Exam 1 Solutions – PDF 54KB
2016 VCAA Specialist Mathematics Sample (v2 April) Exam 1 Solution – PDF 49KB
2015
Free trial mathematics exams
Mathematical Methods CAS Trial Examination 1 – PDF 82KB
Mathematical Methods CAS Trial Examination 1 Solutions – PDF 116KB
Mathematical Methods CAS Trial Examination 2 – PDF 181KB
Mathematical Methods CAS Trial Examination 2 Solutions – PDF 118KB
Specialist Mathematics Trial Examination 1 – PDF 81KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 137KB
Specialist Mathematics Trial Examination 2 – PDF 70KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 70KB
Free VCAA mathematics exams
VCAA Mathematical Methods CAS Exam 1 Solutions – 53KB
VCAA Mathematical Methods Exam 2 Solutions – 109KB
VCAA Specialist Mathematics Exam 1 Solutions – 86KB
VCAA Specialist Mathematics Exam 2 Solutions – 104KB
VCAA Further Mathematics Exam 1 Solutions – 64KB
VCAA Further Mathematics Exam 2 Solutions – 103KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 1 Solutions – PDF 66 KB
NSW BOS Mathematics Extension 2 Solutions – PDF 153 KB
NSW BOS Mathematics Solutions – PDF 108 KB
NSW BOS Mathematics General 2 Solutions – PDF 95 KB
2014
Free trial mathematics exams
Mathematical Methods CAS Trial Examination 1 – PDF 76KB
Mathematical Methods CAS Trial Examination 1 Solutions – PDF 77KB
Mathematical Methods CAS Trial Examination 2 – PDF 172KB
Mathematical Methods CAS Trial Examination 2 Solutions – PDF 104KB
Further Mathematics Trial Examination 1 – PDF 195KB
Further Mathematics Trial Examination 1 Solutions – PDF 56KB
Further Mathematics Trial Examination 2 – PDF 279KB
Further Mathematics Trial Examination 2 Solutions – PDF 134KB
Specialist Mathematics Trial Examination 1 – PDF 126KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 115KB
Specialist Mathematics Trial Examination 2 – PDF 158KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 118KB
Free VCAA mathematics exams
VCAA Further Mathematics Examination 1 Solutions – PDF 58KB
VCAA Further Mathematics Examination 2 Solutions – PDF 321KB
VCAA Specialist Mathematics Examination 1 Solutions – PDF 58KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 116KB
VCAA Mathematical Methods CAS Examination 1 Solutions – PDF 55KB
VCAA Mathematical Methods CAS Examination 2 Solutions – PDF 123KB
Free NSW mathematics exams
NSW BOS Mathematics Exam Solutions – PDF 103 KB
NSW BOS Mathematics General 2 Exam Solutions – PDF 411KB
NSW BOS Mathematics Extension 1 Exam Solutions – PDF 90KB
NSW BOS Mathematics Extension 2 Exam Solutions – PDF 134KB
2013
Free VCAA mathematics exams
VCAA Mathematical Methods CAS Examination 1 Solutions – PDF 50KB
VCAA Mathematical Methods CAS Examination 2 Solutions – PDF 93 KB
VCAA Further Mathematics Examination 1 Solutions – PDF 71KB
VCAA Further Mathematics Examination 2 Solutions – PDF 241KB
VCAA Specialist Mathematics Examination 1 Solutions – PDF 62KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 167KB
Free trial mathematics exams
Further Mathematics Trial Examination 1 – PDF 166KB
Further Mathematics Trial Examination 1 Solutions – PDF 75KB
Further Mathematics Trial Examination 2 – PDF 254KB
Further Mathematics Trial Examination 2 Solutions – PDF 86KB
Mathematical Methods CAS Trial Examination 1 – PDF 71KB
Thanks to Connor Wilson for pointing out that in Q9b ‘Use Euler’s method’ was incorrect.
It should read ‘Use f(a+h)=f(a)+h*f'(a)’.
Mathematical Methods CAS Trial Examination 1 Solutions – PDF 58KB
Mathematical Methods CAS Trial Examination 2 – PDF 156KB
Mathematical Methods CAS Trial Examination 2 Solutions – PDF 149KB
Specialist Mathematics Trial Examination 1 – PDF 84kB
Specialist Mathematics Trial Examination 1 Solutions – PDF 75KB
Specialist Mathematics Trial Examination 2 – PDF 174KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 257KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 2 Solutions – PDF 146 KB
NSW BOS Mathematics Solutions – PDF 117KB
NSW BOS General Mathematics Solutions – PDF 82KB
NSW BOS Mathematics Extension 1 Solutions – PDF 99KB
2012
Free VCAA mathematics exams
VCAA Further Mathematics Examination 1 Solutions – PDF 80KB
VCAA Further Mathematics Examination 2 Solutions – PDF 237KB
VCAA Mathematical Methods (CAS) Examination 1 Solutions – PDF 49KB
VCAA Mathematical Methods (CAS) Examination 2 Solutions – PDF 116KB
VCAA Specialist Mathematics Examination 1 Solutions – PDF 66KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 132KB
Free trial mathematics exams
Mathematical Methods (CAS) Trial Examination 1 – PDF 78KB
Mathematical Methods (CAS) Trial Examination 1 Solutions – PDF 62KB
Mathematical Methods (CAS) Trial Examination 2 – PDF 132KB
Mathematical Methods (CAS) Trial Examination 2 Solutions – PDF 95KB
Further Mathematics Trial Examination 1 – PDF 173KB
Further Mathematics Trial Examination 1 Solutions – PDF 48KB
Further Mathematics Trial Examination 2 – PDF 164KB
Further Mathematics Trial Examination 2 Solutions – PDF 98KB
Specialist Mathematics Trial Examination 1 – PDF 93KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 67KB
Specialist Mathematics Trial Examination 2 – PDF 140KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 122KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 2 Solutions – PDF 137KB
NSW BOS General Mathematics Solutions – PDF 63KB
NSW BOS Mathematics Solutions – PDF 92KB
NSW BOS Mathematics Extension 1 Solutions – PDF 94KB
2011
Free VCAA mathematics exams
VCAA Mathematical Methods CAS Examination 1 Solutions – PDF 48KB
VCAA Mathematical Methods CAS Examination 2 Solutions – PDF 85KB
VCAA Further Mathematics Examination 1 Solutions – PDF 86KB
VCAA Further Mathematics Examination 2 Solutions – PDF 191KB
VCAA Specialist Mathematics Examination 1 Solutions – PDF 46KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 112KB
Free trial mathematics exams
Mathematical Methods (CAS) Trial Exam 1 – PDF 70KB
Mathematical Methods (CAS) Trial Exam 1 Solutions – PDF 68KB
Mathematical Methods (CAS) Trial Exam 2 – PDF 129KB
Mathematical Methods (CAS) Trial Exam 2 Solutions – PDF 85KB
Further Mathematics Trial Examination 1 – PDF 127KB
Further Mathematics Trial Examination 1 Solutions – PDF 46KB
Further Mathematics Trial Examination 2 – PDF 156KB
Further Mathematics Trial Examination 2 Solutions – PDF 100KB
Specialist Mathematics Trial Exam 1 – PDF 86KB
Specialist Mathematics Trial Exam 1 Solutions – PDF 92KB
Specialist Mathematics Trial Exam 2 – PDF 126KB
Specialist Mathematics Trial Exam 2 Solutions – PDF 122KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 2 Solutions – PDF 118KB
NSW BOS General Mathematics Solutions – PDF 68KB
NSW BOS Mathematics Extension 1 Solutions – PDF 79KB
NSW BOS Mathematics Solutions – PDF 82KB
2010
Free VCAA mathematics exams
VCAA Further Mathematics Examination 1 Solutions – PDF 76KB
VCAA Further Mathematics Examination 2 Solutions – PDF 119KB
Solutions to Mathematical Methods (CAS) Exam 1 sample questions – PDF 47KB
Solutions to 2006 Mathematical Methods (CAS) Sample Exam 2 (under 2006)
VCAA Specialist Mathematics Examination 1 Solutions – PDF 60KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 124KB
VCAA Mathematical Methods (CAS) Examination 1 Solutions – PDF 44KB
VCAA Mathematical Methods (CAS) Examination 2 Solutions – PDF 132KB
Free trial mathematics exams
Mathematical Methods (CAS) Trial Exam 1 – PDF 64KB
Mathematical Methods CAS Trial Exam 1 Solutions – PDF 48KB
Mathematical Methods (CAS) Trial Exam 2 – PDF 134KB
Mathematical Methods (CAS) Trial Exam 2 Solutions – PDF 93KB
Specialist Mathematics Trial Exam 1 – PDF 84KB
Specialist Mathematics Trial Exam 1 Solutions – PDF 81KB
Specialist Mathematics Trial Exam 2 – PDF 170KB
Specialist Mathematics Trial Exam 2 Solutions – PDF 126KB
Further Mathematics Trial Exam 1 – PDF 240KB
Further Mathematics Trial Exam 1 Solutions – PDF 60KB
Further Mathematics Trial Exam 2 – PDF 164KB
Further Mathematics Trial Exam 2 Solutions – PDF 88KB
Free NSW mathematics exams
NSW BOS General Mathematics Solutions – PDF 70KB
NSW BOS Mathematics Extension 2 Solutions – PDF 140KB
NSW BOS Mathematics Solutions – PDF 87KB
NSW BOS Mathematics Extension 1 Solutions – PDF 91KB
2009
Free VCAA mathematics exams
VCAA Further Mathematics Examination 1 Solutions – PDF 62KB
VCAA Further Mathematics Examination 2 Solutions – PDF 362KB
VCAA Specialist Mathematics Examination 1 Solutions – PDF 50KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 271KB
VCAA Mathematical Methods Examination 1 Solutions – PDF 40KB
VCAA Mathematical Methods Examination 2 Solutions – PDF 71KB
VCAA Mathematical Methods (CAS) Examination 2 Solutions – PDF 77KB
Free trial mathematics exams
Mathematical Methods Trial Exam 1 – PDF 67KB
Mathematical Methods Trial Exam 1 Solutions – PDF 64KB
Mathematical Methods Trial Exam 2 – PDF 148KB
Mathematical Methods Trial Exam 2 Solutions – PDF 117KB
Specialist Mathematics Trial Exam 1 – PDF 80KB
Specialist Mathematics Trial Exam 1 Solutions – PDF 96KB
Specialist Mathematics Trial Exam 2 – PDF 152KB
Specialist Mathematics Trial Exam 2 Solutions – PDF 167KB
Further Mathematics Trial Exam 1 – PDF 202KB
Further Mathematics Trial Exam 1 Solutions – PDF 83KB
Further Mathematics Trial Exam 2 – PDF 178KB
Further Mathematics Trial Exam 2 Solutions – PDF 135KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 2 Solutions – PDF 100KB
NSW BOS General Mathematics Solutions – PDF 68KB
NSW BOS Mathematics Solutions – PDF 78KB
NSW BOS Mathematics Extension 1 Solutions – PDF 83KB
2008
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 64KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 240KB
VCAA Further Mathematics Examination 1 Solutions – PDF 60KB
VCAA Further Mathematics Examination 2 Solutions – PDF 207KB
VCAA Mathematical Methods Examination 1 Solutions – PDF 45KB
VCAA Mathematical Methods Examination 2 Solutions – PDF 198KB
Free NSW mathematics exams
NSW BOS General Mathematics Solutions – PDF 68KB
NSW BOS Mathematics Solutions – PDF 124KB
NSW BOS Mathematics Extension 1 Solutions – PDF 152KB
NSW BOS Mathematics Extension 2 Solutions – PDF 188KB
Free trial mathematics exams
Math Methods Trial Examination 1 – PDF 126KB
Math Methods Trial Examination 1 Solutions – PDF 56KB
Math Methods Trial Examination 2 – PDF 122KB
Math Methods Trial Examination 2 Solutions – PDF 86KB
Specialist Mathematics Trial Examination 1 – PDF 70KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 65KB
Specialist Mathematics Trial Examination 2 – PDF 128KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 117KB
Further Mathematics Trial Examination 1 – PDF 123KB
Further Mathematics Trial Examination 1 Solutions – PDF 50KB
Further Mathematics Trial Examination 2 – PDF 137KB
Further Mathematics Trial Examination 2 Solutions – PDF 84KB
2007
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 125KB
NOTE: Thanks to all who pointed out the typo – this has now been corrected.
VCAA Specialist Mathematics Examination 2 Solutions – PDF 138KB
VCAA Further Mathematics Examination 1 Solutions – PDF 56KB
VCAA Further Mathematics Examination 2 Solutions – PDF 406KB
NOTE: Thanks to George Abdelmalek for pointing out that the correct answer to Module 1: Number patterns Q2e is S(14) – S(7) = 50559 kilojoules.
Thanks to Gerriweather Albertson-Perriwinkle for pointing out the answer to Networks Q2c is FGABCDEF.
VCAA Math Methods Examination 1 Solutions – PDF 122KB
VCAA Math Methods Examination 2 Solutions – PDF 140KB
Free trial mathematics exams
Math Methods Trial Examination 1 – PDF 123KB
Math Methods Trial Examination 1 Solutions – PDF 116KB
Math Methods Trial Examination 2 – PDF 206KB
Math Methods Trial Examination 2 Solutions – PDF 173KB
Specialist Mathematics Trial Examination 1 – PDF 131KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 135KB
Specialist Mathematics Trial Examination 2 – PDF 207KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 178KB
Further Maths Trial Examination 1 – PDF 229KB
Further Maths Trial Examination 1 Solutions – PDF 125KB
Thanks to Willie Jago for pointing out that the correct answer to Further Maths 2007 Trial Examination 1, Section A, Q6 is answer A.
Further Maths Trial Examination 2 – PDF 176KB
Further Maths Trial Examination 2 Solutions – PDF 132KB
Free NSW mathematics exams
NSW BOS Mathematics Solutions – PDF doc 68KB
NSW BOS General Mathematics Solutions – PDF doc 62KB
NSW BOS Mathematics Extension 1 Solutions – PDF doc 80KB
NSW BOS Mathematics Extension 2 Solutions – PDF doc 173KB
2006
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 126KB
NOTE: Thanks to Parag Manihar, Mitesh Kushwaha and Tim Worcester for pointing out that in Q3a solution, y = 0 should also be an asymptote.
VCAA Specialist Mathematics Examination 2 Solutions – PDF 156KB
VCAA Further Mathematics Examination 1 Solutions – PDF 131KB
NOTE: Thanks to Dean Corp, John Howes and Nicholas Martin for pointing out that in Further Maths Exam 1 Networks module, the correct answers for Q6 and Q9 are C and D respectively.
NOTE: Thanks to Ms Lester for pointing out that in Question 8 of the 2006 Further Maths Exam 1 – Core: Data analysis, the units of the given residuals should be in kg instead of cm.
VCAA Further Mathematics Examination 2 Solutions – PDF 381KB
NOTE: Thanks to Deborah Lilly for pointing out that the correct solution to Module 6 (matrices) question 1 part bi and ii is 145978 for the first number.
VCAA Math Methods Examination 1 Solutions – PDF 165KB
VCAA Math Methods Examination 2 Solutions – PDF 135KB
Free NSW mathematics exams
NSW BOS Mathematics Extension 1 Solutions – PDF doc 146KB
NSW BOS Mathematics Extension 2 Solutions – PDF doc 189KB
NSW BOS Mathematics Solutions – PDF doc 155KB
NSW BOS General Mathematics Solutions – PDF doc 131KB
Free VCAA sample mathematics exams
VCAA Specialist Mathematics Sample Examination 1 Solutions – PDF 111KB
NOTE: Thanks to Sandeep Rakhra for pointing out that the correct answer for question 9d is 
.
VCAA Specialist Mathematics Sample Examination 2 Solutions – PDF 148KB
VCAA Math Methods Sample Examination 1 Solutions – PDF 110KB
NOTE: Thanks to Salvatore and Claire for pointing out that the correct answer for question 5b is b = -0.5.
VCAA Math Methods (CAS) Sample Examination 2 Solutions – PDF 70KB
VCAA Math Methods Sample Examination 2 Solutions – PDF 130KB
NOTE: Thanks to Dean Corp for pointing out that the correct answer for multiple choice question 5, 2006 VCAA Math Methods Sample Exam 2, is D (-1.45).
NOTE: Thanks to Tristan Vanyai for pointing out that the correct solution to Q1e is ‘h is greater than or equal to 1, but less than 2’.
Free trial mathematics exams
Math Methods Trial Examination 1 – PDF 128KB
Math Methods Trial Examination 1 Solutions – PDF 118KB
Math Methods Trial Examination 2 – PDF 176KB
Math Methods Trial Examination 2 Solutions – PDF 135KB
Specialist Mathematics Trial Examination 1 – PDF 131KB
Specialist Mathematics Trial Examination 1 Solutions – PDF 126KB
Specialist Mathematics Trial Examination 2 – PDF 201KB
Specialist Mathematics Trial Examination 2 Solutions – PDF 169KB
Further Maths Trial Examination 1 – PDF 184KB
Further Maths Trial Examination 1 Solutions – PDF 122KB
Further Maths Trial Examination 2 – PDF 181KB
Further Maths Trial Examination 2 Solutions – PDF 164KB
2005
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 73K
VCAA Specialist Mathematics Examination 1 Part 1 Q26 – PDF 25KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 63KB
VCAA Further Mathematics Examination 1 Solutions – PDF 59KB
VCAA Further Mathematics Examination 2 Solutions – PDF 283KB
VCAA Math Methods Examination 1 Solutions – PDF 66KB
VCAA Math Methods Examination 2 Solutions – PDF 79KB
Free NSW mathematics exams
NSW BOS General Mathematics Solutions – PDF 56KB
NSW BOS Mathematics Solutions – PDF 74KB
NSW BOS Mathematics Extension 1 Solutions – PDF 131KB
NSW BOS Mathematics Extension 2 Solutions – PDF 116KB
2004
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 75KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 61KB
VCAA Math Methods Examination 1 Solutions – PDF 57KB
VCAA Math Methods Examination 2 Solutions – PDF 55KB
VCAA Further Maths Examination 1 Solutions – PDF 145KB
VCAA Further Maths Examination 2 Solutions – PDF 245KB
2003
Free VCAA mathematics exams
VCAA Specialist Mathematics Examination 1 Solutions – PDF 117KB
VCAA Specialist Mathematics Examination 2 Solutions – PDF 59KB
VCAA Math Methods Examination 1 Solutions – PDF 58KB
VCAA Math Methods Examination 2 Solutions – PDF 53KB
VCAA Further Maths Examination 1 Solutions – PDF 67KB
VCAA Further Maths Examination 2 Solutions – PDF 358KB