Year 10 student Simran focused on solving simultaneous equations and worked through inequalities, applying core algebra principles throughout.

In Year 9, Aryan tackled graphing directly proportional relationships and reviewed surds alongside ratio questions using visual examples.

Meanwhile, Year 8 student Olivia revised ratios and rates with practical word problems and also practised converting between scientific notation forms to strengthen her understanding of numerical representation.

A Year 10 student often skipped showing steps in algebra and inequalities, which meant sign errors were hidden until the end—"ran out of time to fully cover inequalities."

In Year 7, a student repeatedly confused multiplication with addition during calculations, leading to hesitations and slower problem-solving.

Meanwhile, a Year 3 learner struggled with 'carrying the one' in long addition; numbers above five led to uncertainty mid-calculation.

For a senior student revising surds and binomial products, over-reliance on quick mental calculation left mistakes unchecked.

The unfinished workings or confusion at key steps slowed progress during timed practice or left answers unsupported when reviewing feedback.

One Halloran tutor noticed a big shift with Josh, a high school student who had been struggling with algebra—he can now use the substitution method to solve simultaneous equations and clearly explains where he used to get stuck.

In another session, Ruby (Year 3) figured out why swapping numbers in multiplication still gives the same answer and quickly applied this understanding to multiplying more than two numbers together, something she'd hesitated with before.

Another recent win: a Year 10 student who previously avoided asking questions during trigonometry lessons began actively requesting help to double-check his use of ratios for unknown sides.