Expert Preparation for Australian School Assessments

How Students Can Strengthen Their Problem-Solving Skills in Mathematics

 Strong maths problem-solving skills are useful far beyond a single school test. They help students understand questions, choose suitable methods and explain how they reached an answer. The good news is that these skills can be developed through regular, purposeful practice.

Start by slowing down when reading a problem. Identify what information is provided, what the question is asking and whether there are any important words or conditions. Writing down known information can make multi-step questions easier to manage.

Next, avoid immediately looking for a familiar formula. Ask yourself what the problem is really testing. Drawing a diagram, making a table, estimating an answer or working backwards may reveal a useful pathway.

After solving a question, check whether the answer makes sense. Consider whether the calculation is reasonable and whether it actually answers the question asked. Reviewing mistakes is equally important. Instead of simply correcting an answer, identify why the mistake happened.

Students can also strengthen mathematical reasoning by attempting different types of questions regularly. Online practice can provide additional opportunities to work through unfamiliar problems and identify skills that need more attention.

With consistent practice, students can become more confident tackling unfamiliar mathematics questions rather than relying only on memorised procedures.