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Dee is an A-Level Maths and GCSE Maths specialist with over 30 years' experience raising attainment and preparing students for top grades. This guide shares ten practical, targeted strategies for Year 2 A-Level Maths revision, from consolidating Year 1 foundations to cross-board practice and timed topic work, to help improve grades.
By Dee P | A-Level and GCSE Maths Specialist | Sherpa Tutor
Year 2 of A-Level Maths is a notorious step up. The concepts get deeper, the calculus gets more complex, and exam boards expect a much higher level of independent problem-solving.
If you are aiming to jump a grade boundary this year, working harder isn't always enough - you need to work smarter. The absolute best way to improve your understanding and secure an A or A* is through effective, targeted practice.
Here are 10 highly practical strategies to ensure your study time is spent efficiently so you can dominate your exams.
Don't let your Year 1 foundations rust. Organise your weekly timetable so that you spend a dedicated portion of time reviewing Year 1 content.
The Smart Move: Look ahead at your college's or school's scheme of learning. Identify what prior knowledge you need before you step into each lesson. Because A-Level Maths topics are heavily interconnected, mastering the foundational building blocks beforehand makes new Year 2 concepts vastly easier to grasp.
It is vital to practise as many textbook questions as possible. A concept might seem straightforward when a teacher or tutor demonstrates it, but the variation in actual exam questions can easily catch you out.
Practise the basic skill first, then push yourself straight into the 'exam and problem-solving' sections.
The Golden Rule: Avoid the temptation to look at solution banks while working. Peeking gives you a false sense of security. Grind through the problem first, then check your answers and meticulously trace your steps to find and fix errors.
Relying too heavily on your calculator can slow down your mathematical fluency. The more algebra and arithmetic you do mentally or on paper during your day-to-day practice, the quicker and sharper you will become in an exam room.
This is especially critical for questions that explicitly ask for an "exact answer".
Focus on building speed and accuracy in factorising quadratics and polynomials, manipulating fractions, and memorising exact trigonometric values (like sin(60°) or tan(45°)).
Never sit down for a study session without your formula booklet printed out next to you. You need to know exactly what information is provided and what you are expected to recall from memory.
Work Smart: Instead of trying to memorise every single trigonometric identity, learn how to derive them. For example, if you know the fundamental identity:
sin^2θ + cos^2θ = 1
you can derive the others in seconds.
Exam boards love to explicitly ask for algebraic or geometric proofs. Find out exactly which proofs are required by your specific exam board (such as the proof of the sum of an arithmetic series, or proving that a number is irrational). Put them on revision cards and test yourself periodically. If one comes up on exam day, it represents guaranteed, straightforward marks.
A-Level questions are deliberately wordy to test your comprehension. The specific keywords used in a question will essentially tell you exactly which mathematical process to execute. Here are some examples which act as triggers:
Keyword/Phrase | The Mathematical Process Required |
Gradient Function | Differentiate |
Gradient at a Point | Differentiate and substitute the value of x |
Stationary Point | Differentiate, equate to zero (f'(x) = 0), and solve |
Maximum/Minimum | Usually the same as stationary points (but check the boundaries if the range of x is limited, especially on Mechanics velocity-time graphs) |
Roots of the Equation | Equate the function to zero and solve for x |
Maximum Height | In Mechanics (also a key part of A-Level Physics), use v = 0 in your SUVAT equations |
Maths shouldn't be a solo sport. Try studying with a classmate or a small group. Talking through a difficult question forces you to process it differently. In fact, trying to explain a complex concept to someone else is the ultimate test of whether you truly understand it yourself.
Additionally, attend every extra revision or support session your school offers. These are the perfect opportunities to clarify concepts and concentrate on the specific areas you find tricky.
When you finish marking a past paper, don't just look at the mark scheme - read the official Examiners' Report for that exam cycle. These documents are absolute goldmines. They show you exactly where students historically lost marks, highlight common misconceptions, and outline the precise degree of accuracy the examiners expect.
If you want the top grades, don't limit yourself exclusively to your own exam board's past papers. Working through papers from Edexcel, OCR, and AQA will expose you to different wording styles and problem-solving criteria.
Top Resource: Use the Madasmaths website to work through their hard practice papers. Many of these questions are heavily problem-solving based and will stretch your mathematical thinking to an elite level.
As you enter the final two terms of Year 2, transition your revision into topic-based exam questions.
Websites like Physics & Maths Tutor (PMT) are perfect for this. They host booklets of past exam questions broken down by topic, alongside excellent "crib sheets" (summary notes) that serve as a brilliant refresher right before you start practising.
At the end of the day, A-Level Maths rewards consistency over last-minute cramming. Keep your skills sharp, test your limits with harder questions, and remember that practice makes perfect.
Dee P
Tutor
An A Level & GCSE Maths specialist/ HoD with proven track record of high results
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