Year 4 student Jack practised basic division and addition with carrying up to three digits, along with quick recall of multiplication tables up to 6.

For Year 8, Sarah worked through rearranging formulae to change the subject and substituting values into equations, applying these skills to her homework questions.

Meanwhile, Year 9 student Ben focused on solving worded percentage problems in financial maths, including calculating commissions and profit using real-life examples.

A Year 8 student entered a lesson without essential notes or their workbook, which meant he didn't have any guidelines for revision and struggled to focus—this led to an improvised session and missed exam preparation.

In Year 11, another student repeatedly relied on a calculator being available, and when it wasn't, progress slowed as the tutor had to calculate several questions for him.

For a Year 10 trigonometry topic, skipped working was observed: "she needs to make sure she writes all her working out," since not recording steps made error-checking difficult mid-session. The consequence? Time lost clarifying avoidable mistakes rather than learning new material.

One Davistown tutoring session saw a Year 9 student move from confusion to real understanding with Pythagoras' Theorem—after struggling at first, he walked away confidently explaining the foundational steps.

In Year 11, a tutor noticed a big shift: where this student used to hesitate, she now asks for extra homework and seeks help without prompting, showing genuine initiative.

Meanwhile, in Year 4 maths, a quieter student began volunteering answers before questions were even fully explained—a big change from her earlier reluctance to speak up. Last week, she completed an entire worksheet unassisted and checked her own work for errors.