Year 8 student Harry focused on simplifying algebraic expressions using index laws and expanded algebraic expressions via the distributive law, with practical word problems to reinforce terminology.

In Year 11, Lily worked through geometric series and annuities, then practiced applying these concepts to financial mathematics scenarios.

For Year 12, Marcus completed HSC-style questions involving differentiation—identifying stationary points and optimisation—alongside integration techniques for finding area under curves and reviewing statistics from past trial exams.

A Year 10 student hesitated to write out steps in algebra, trying to "do it in my head," which made it tough to catch sign errors and slowed progress on rearranging equations.

In a senior maths session, over-reliance on calculators appeared—basic mental math was avoided during chain rule practice, leading to missed patterns.

Homework completion has also been inconsistent for one Year 8 learner; as noted, "he has not completed his homework multiple times now," so he's missing chances to attempt worded problems independently.

After setbacks with unfamiliar trigonometry proofs, a lack of confidence meant attempts at new question types stalled completely.

One Toukley tutor noticed a big change in a Year 9 student who, after weeks of hesitation, now tackles multi-step taxation questions mostly on his own and can join like terms with far fewer errors than before.

In a recent high school session, another student showed new initiative by breaking down tricky integration problems step-by-step without waiting for hints—previously she'd freeze up if she wasn't sure where to start.

Meanwhile, a younger student in Year 4 surprised her tutor by finishing all her decimal multiplication tasks without needing reminders to check her work.