2017 VCAA Specialist Mathematics Exam 2 Solutions 2.1 – PDF 128 KB

Thanks to Gavin Rogers for pointing out a mistake in Q4f, the correct answer is b=-(a+4)+2Im(a) i

Thanks to Pablo Kucz for a simpler answer to Q4f, b = – 4 – conjugate of a

2017 VCAA Mathematical Methods Exam 2 Solutions 2.1 – PDF 91 KB

Thanks to Cameron Dole for pointing out the following mistakes. Quote: “MC17 is D not B. Option B has both methods of turning an area below graph to positive (placing neg in front and swapping limits) so they cancel out and give a negative value. Option D doubles the area from a to b (due to symmetry as f(x)=f(-x)) and then doubles area from b to 0 but uses b+c to get 0 as well as placing neg in front.
Q3f I agree with working but both CAS and a manual factorisation gives me 7p^2(p-1)^4(2p+3) which does nor expand to your answer. Then of course answers to both parts of 3g are incorrect as a consequence.”

Also thanks to Raymond Rozen of RMIT University and Linda Harland for pointing out the mistakes and providing feedback.

2017 VCAA Specialist Mathematics Exam 1 Solutions – PDF 104 KB

Thanks to Emma Mullane of McKinnon S.C. and Trang Pham for pointing out a mistake in Q6, arcsin(x) should be squared.

2017 VCAA Mathematical Methods Exam 1 Solutions – PDF 69 KB

2017 VCAA Further Mathematics Exam 2 Solutions – PDF 96 KB

Thanks to Frank Ngari for pointing out four mistakes in the solutions.
Matrices Q3a should be ( 0.4 0.4 0.2 0.2) times column matrix ( 300 200 200 3000) and the answer is 320.
Geometry and measurement Q2a should be Tokyo is 2 hours behind hence the time is 8.00 pm on Wednesday.
Q2c radius should be 6400cos 43 = 4681km.
Q3b should be length of major arc hence the perimeter is 438 and not 266.

2017 NSW ESA Mathematics Extension 1 Solutions – PDF 93 KB

Thanks to Lyn Harris for checking the solutions and providing feedback. Lyn has been supporting us for many years. We greatly appreciate her professional contributions.

2017 VCAA Further Mathematics Exam 1 Solutions – PDF 55KB

Thanks to Bill Yuan and Kelvin Rogash for pointing out that B is the correct answer to both Q8 and Q22.

2017 NSW ESA Mathematics General 2 Solutions – PDF 60KB

Thanks to Lyn Harris for checking the solutions and providing valuable feedback.

2017 NSW ESA Mathematics Extension 2 Solutions 2 – PDF 158 KB

Thanks to Lyn Harris for checking the solutions and providing valuable feedback

2017 Further Mathematics Year 12 Financial Modelling Task – PDF 91KB