The Mastery Series gives NSW Mathematics Advanced students the complex, non-routine questions the HSC actually asks — the ones standard textbooks never prepare you for. Written by a QUT mathematician with 15+ years of experience coaching students to 95–99+ ATARs.
(1 mark) The symbol shown, called “Taijitu”, is based on the Chinese Yin–Yang philosophy. In this symbol, the endpoints of the diameter are A(13, 20) and B(1, 4). Accordingly:
Which of the statements above are correct?
Most students can answer a question they've seen before. They memorise a method, spot a familiar pattern, and repeat the process. Then the HSC asks something they haven't seen — a question that connects three topics at once, hides the method, and demands interpretation in context.
That's where marks are won and lost. The students who score Band 6 and 95–99+ ATARs aren't smarter. They've simply trained on thousands of non-routine questions before exam day, so nothing in the paper surprises them.
Every book is aligned to the NSW Stage 6 syllabus and includes final answers for independent self-checking. Mathematics Advanced below — Extension 1 & 2 and pathway bundles further down.
Build the foundation Year 12 demands — before Year 12 arrives.
The full two-year training program — first term of Year 11 to the HSC exam room.
Train at the difficulty of the final paper — and above it.
For students taking on the hardest maths courses in the HSC. Advanced, non-routine questions written at real Extension exam depth.
2,500+ advanced exam-style questions across the Year 11 Extension course.
The most demanding course in NSW — trained at full depth, up to Olympiad-inspired reasoning.
Every Year 12 Extension topic at the depth the HSC paper demands.
One purchase, the full training program. Every bundle is discounted against the individual book prices.
Both Extension 1 books — the complete two-year Extension 1 course.
All three Extension books — the full E4 pathway for the state's most ambitious students.
Advanced, Extension 1 and Extension 2 — the entire A Star Maths NSW library.
This is not a textbook you read. It's a training program you work through. Questions deliberately hide the method, combine several concepts in one problem, and demand interpretation — exactly what HSC markers reward in Section II.
Some questions are intentionally difficult. That's the point: genuine mathematical growth never comes from questions that already feel easy.
Every review below is from a real student or parent. Read them all on Google and TutorFinder.
"Cansu has been absolutely amazing — professional, supportive, and able to make maths feel simple and approachable. My daughter now truly enjoys maths at school, and it's wonderful to see her come home excited to do her homework. We're so grateful to have found such an exceptional tutor!"
"Cansu explains concepts clearly, patiently and in a way that helps my kids understand and retain the information. She has all the resources, homework and practice exams to help students succeed — and helps students even between classes via email. I highly recommend A Star Maths to anyone needing help."
"Really great teacher — helped me go from a 4 to a 7 in maths. Great explanation skills."
"I highly recommend Cansu as a maths tutor. She guided me through a university maths assignment I was struggling with and helped me understand the concepts clearly. She provided valuable feedback and broke down each task in a way that was easy to follow. Very knowledgeable and supportive."
Cansu is a mathematician, full-time tutor and published author with over 15 years of experience helping students achieve ATAR, IB and university results that reflect their true potential. The Mastery Series is not compiled from other textbooks — every question is written from that coaching experience: the exact question types that separate a Band 5 from a Band 6.
"If your practice is easier than your exam, your result will be lower than your goal. These books exist to make sure that never happens."
Yes. Every book is written specifically for the NSW Stage 6 syllabus — the Mastery Series for Mathematics Advanced (Years 11 and 12), the Extension 1 books for the Mathematics Extension 1 course, and the Extension 2 book for Mathematics Extension 2. These are not adapted from another state's curriculum.
Those are exactly the students these books are written for. School marks reflect school-level questions. The HSC — and the internal assessments at competitive schools — ask harder, less familiar questions. Strong students plateau when their practice stops challenging them.
Final answers are included for every question so students can self-check. This is deliberate: students who check an answer, find they're wrong, and hunt down their own error develop far stronger reasoning than students who read a worked solution and nod along.
Start in Year 11. The HSC course is built entirely on Year 11 foundations — algebraic fluency, functions, and early calculus. Students who develop non-routine problem-solving in Year 11 walk into Year 12 with a significant head start. That's why the two-year bundle is our most popular option.
No — these books are written for Mathematics Advanced and Extension 1 students, particularly those targeting Band 6, E4 and high ATARs. If your child is deciding between Standard and Advanced, feel free to contact us for honest advice.
A Star Maths has 161 five-star Google reviews, 181 five-star TutorFinder reviews and a 2026 Global Recognition Award, built over 15+ years of tutoring. You can read every review publicly, browse sample pages on each product page, and contact us directly on 0402 581 872 before buying.
Every week of routine practice is a week the gap grows between your child and the students training at exam level. Start today.
Get the NSW Mastery Series