Year 4 student completed a Maths Olympiad worksheet and workbook activities focusing on addition and subtraction with two- to four-digit numbers, as well as starting multiplication with larger numbers.

Year 9 student Alyssa tackled direct variation in linear relationships and practiced rearranging formulas for simple interest calculations using real-life examples.

For Year 12, David worked through differentiation techniques including the product and quotient rules, and was introduced to inverse trigonometric functions such as arcsin(x) and arccos(x).

A Year 3 student often hesitated when writing out division steps, preferring to "do it in his mind," which led to misaligned digits and confusion about which number belonged above the line—"he needs to write every step," noted one tutor.

In Year 11 Mathematics, a student avoided writing full working for induction proofs and struggled with linking nk and nk+1, causing repeated errors in logical progression.

Meanwhile, a Year 12 student's revision focused only on familiar trigonometric formulas, leaving gaps when tackling exam questions that required lesser-known identities or domains. This resulted in uncertainty during multi-step problems and slowed progress under time pressure.

A tutor in Sydney Olympic Park noticed that one Year 11 student who previously hesitated to ask for clarification now regularly voices questions about tricky derivatives, especially when working with inverse trigonometric functions—a real shift from staying silent and guessing.

In another high school session, a student managed to identify the critical path in a complex network diagram after struggling to visualise connections just weeks ago.

Meanwhile, a Year 4 student who often made errors with subtraction recently completed an entire quiz on addition and subtraction without a single mistake and even tackled some harder problems by choice.