Solving Challenging
A-level Maths Problems:

Are you struggling with solving challenging A-level maths problems? Do you find yourself getting stuck on difficult questions during your AS and A-level mock exams? If so, don’t worry – you’re not alone. Many students find the higher-level maths questions to be quite daunting, but with the right approach and strategies, you can tackle even the toughest problems with confidence.

In this post, we will explore some effective approaches and solutions for solving challenging A-level maths problems. By following these tips and practicing regularly, you can improve your problem-solving skills and boost your confidence in tackling even the most difficult questions on your exams.

Understand the Problem and Identify the Key Concepts

Before attempting to solve a difficult A-level maths problem, it is crucial to first understand the question and identify the key concepts involved. Many students make the mistake of jumping straight into solving the problem without fully understanding the task. This can lead to incorrect solutions and wasted time. Read the question carefully, identify the key information given, and think about what you are being asked to find. It can be helpful to break the problem down into smaller parts and tackle each part individually.

For example, if you are asked to find the area enclosed between a function and the x-axis, start by sketching the graph of the function, identifying all points of intersection with the axes and understanding which parts of the area are above or below the x-axis.

Use Visual Aids

Visual aids can be a powerful tool in solving challenging maths problems. Drawing diagrams, charts, or graphs can help you visualise the problem and see patterns or relationships that may not be immediately obvious. Visual aids can also help you organise your thoughts and work through the problem more systematically.

For example, if you are working on a geometry problem, drawing a diagram of the shapes involved and using different colours where beneficial can help you see the relationships between the different angles and sides. This can make it easier to identify the information you need to solve the problem and come up with a plan of action.

Apply Various Problem-Solving Techniques

One such technique is the trial-and-error method, where one makes educated guesses and checks if they lead to the correct solution. Another useful technique is the process of elimination, where students gradually eliminate certainly incorrect options to narrow down the possible solutions. Another effective strategy for solving challenging A-level maths problems is to work backwards from the desired solution. Start with the answer you are trying to find and think about what steps you would need to take to get there. This can help you identify the key information and relationships needed to solve the problem.

Practice A-level Past Papers

One of the best ways to prepare for challenging A-level maths problems is to practice past exam papers. Past papers can give you a sense of the types of questions that may appear on your exam and help you familiarise yourself with the format and structure of the questions. They can also help you identify areas where you may need to improve and focus your study efforts.

Private tutors often use A-level past papers as part of their tuition sessions, as they can provide valuable insight into your strengths and weaknesses and help you develop effective problem-solving strategies. By practicing past papers regularly, you can build your confidence and improve your performance on exam day.