## FREE maths exams

### 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

### Free trial exams

2017 Further Mathematics Trial Exam 1 – PDF 279 KB

2017 Further Mathematics Trial Exam 1 Solutions – PDF

2017 Mathematical Methods Trial Exam 1 – PDF 73 KB

2017 Mathematical Methods Trial Exam 2 – PDF 211 KB

2017 Mathematical Methods Trial Exam 1 Solutions – PDF 49 KB

2017 Mathematical Methods Trial Exam 2 Solutions – PDF 124 KB

2017 Specialist Mathematics Trial Exam 1 – PDF 77 KB

2017 Specialist Mathematics Trial Exam 1 Solutions – PDF 111 KB

2017 Specialist Mathematics Trial Exam 2 – PDF 138 KB

2017 Specialist Mathematics Trial Exam 2 solutions – PDF 114 KB

## 2016

### Free NSW BOS exams

2016 NSW BOS Mathematics Extension 1 Solutions – PDF 87KB

2016 NSW BOS Mathematics Extension 2 Solutions – PDF 151KB

2016 NSW BOS Mathematics General 2 Solutions – PDF 61KB

2016 NSW BOS Mathematics Solutions – PDF 119KB

## 2016

### Free VCAA exams

2016 VCAA Specialist Mathematics Exam 2 Solutions – PDF 136KB

2016 VCAA Specialist Mathematics Exam 1 Solutions – PDF 48KB

2016 VCAA Mathematical Methods Exam 2 Solutions – PDF 85KB

2016 VCAA Mathematical Methods Exam 1 Solutions – PDF 56KB

2016 VCAA Further Mathematics Exam 2 Solutions – PDF 702KB

2016 VCAA Further Mathematics Exam 1 Solutions – PDF 62KB

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**

**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**

**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