Enrolments in the toughest mathematics course offered in the NSW Higher School Certificate are holding near record levels, with boys accounting for the vast majority of growth over the past decade as educators point to stronger foundational teaching as the key driver.
This year, 3,769 students are enrolled in Mathematics Extension 2 — the most demanding HSC maths course available. Of the roughly 500 additional students taking the subject compared to ten years ago, boys make up approximately 90 per cent of that increase, highlighting a persistent and significant gender gap in the subject.
Why more students are choosing harder HSC mathematics
Educators say the rise in extension maths enrolments is not happening by accident. Mathematics teacher Eddie Woo attributes the trend to two complementary shifts: students becoming more aware of the career pathways that strong mathematics skills can unlock, and improved teaching in the junior years of high school that builds genuine mathematical capability before students reach the senior curriculum.
"It's a slow boil kind of thing," Woo said, describing how years of careful groundwork in classrooms eventually translate into students feeling ready to take on the most challenging courses.
Woo emphasised that success in extension mathematics depends on two pillars working together — procedural fluency, the ability to carry out mathematical processes accurately, and conceptual understanding, a deep grasp of the ideas underpinning those processes.
"So those two are kind of two wings of a plane," he said. "If you have only one, you are in trouble. You're only going to get so far."
That dual foundation matters most in extension courses, which regularly present students with non-routine, unfamiliar problems that require more than memorised techniques. "If you don't understand what the concepts are about and how to apply them in novel ways, you're like, 'I don't know how to start this question'," Woo said.
The gender gap: why girls are still underrepresented
Despite overall enrolment growth, the gender imbalance in Mathematics Extension 2 remains stark. Woo believes the disparity can be traced back to how girls experience mathematics in the earlier years of schooling — not a lack of ability, but a lack of confidence.
"So many times over the years I have taught a class and the girls are great at maths, but they don't feel as confident," he said. "Boys make mistakes. Girls make them. But the girls tend to take it harder. Boys kind of just shrug it off."
Over time, Woo says, that pattern causes some girls to internalise a false belief that they are not naturally mathematical — even when the evidence in their classwork suggests otherwise. "I've had to convince some of the best mathematicians in my classes who were girls because they'd say: 'This is really hard for me. I feel like it's not coming naturally.'"
Enrolment picture across all NSW maths courses
The broader HSC mathematics data reveals a varied landscape across the different course levels. Enrolments in Mathematics Standard 1 — which includes an optional exam for students seeking an ATAR — have climbed by more than 60 per cent since it was introduced in 2019, reaching 8,389 students this year. Meanwhile, Mathematics Standard 2 remains the most popular course with a stable 31,698 enrolments, and Mathematics Advanced has dipped by more than 1,000 students to 16,151.
Students and schools putting it into practice
At Quakers Hill High School in Sydney, the enrolment trend is being felt firsthand. Year 12 student Aarchi Dhobi is sitting both the Advanced and Extension 1 exams this year, and credits her teachers' consistent support and clear explanations with giving her the confidence to take on the harder courses.
"I think the support from the teachers in just pushing us and explaining everything properly just led me to choosing extension maths," she said. In preparation for HSC exams, which begin on October 13, she has been working through past papers — describing them as both demanding and, perhaps surprisingly, enjoyable. "I feel like they're a good way to challenge your brain, and it's like you get to think outside the box."
The school's head of mathematics, Melhem Daghel, said students were increasingly choosing harder subjects because solid foundational knowledge built in earlier high school years gave them the skills and confidence to succeed at the highest level.
