SQA Higher Maths specification (X847 76)
Understanding the exam specification is key to doing well in your SQA Higher Maths exam. It lays out exactly what you need to learn, how you'll be assessed, and what skills the examiners seek. Whether you're working through the course for the first time or revising for your final exams, the specification helps you stay focused and confident in your preparation.
We've included helpful revision tools to support you in putting the specification into practice. Wherever you're starting from, you'll find everything you need to feel prepared, from the official specification to high-quality resources designed to help you succeed.
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In the next section, you'll find a simplified summary of the official SQA Higher Maths specification, along with a breakdown of key topics, assessment structure, and useful study resources. We've also included links to topic-level guides and revision tools to help you put the specification into practice.
Contents
Disclaimer
This page includes a summary of the official SQA Higher Maths (X847 76) specification, provided to support your revision. While we've made every effort to ensure accuracy, Save My Exams is not affiliated with the awarding body.
For the most complete and up-to-date information, we strongly recommend consulting the official SQA specification PDF.
Specification overview
The Higher Mathematics course equips candidates with the mathematical knowledge and reasoning skills essential for progression in mathematics and related fields. It builds on prior learning to develop a deeper understanding of algebra, calculus, trigonometry, geometry, and statistics. The course focuses on critical thinking, modelling real-life contexts, and problem-solving, preparing learners for advanced study or practical application in science, technology, engineering, and finance. It promotes precision, logical analysis, and the ability to communicate complex mathematical ideas effectively.
Subject content breakdown
Algebraic and trigonometric skills
- Manipulate algebraic expressions including cubics and logarithms.
- Use trigonometric identities and transformations.
- Sketch related functions, derivatives, and inverses.
- Solve polynomial, exponential, and trigonometric equations.
- Determine composite and inverse functions with domain/range understanding.
Geometric skills
- Use vectors in 2D and 3D including scalar products and unit vectors.
- Determine collinearity, internal division, and angles between vectors.
Calculus skills
- Differentiate polynomials, trig functions, and composite functions.
- Investigate functions using gradients, stationary points, and sketch graphs.
- Integrate algebraic, trig, and compound expressions.
- Use definite integrals for area, solve differential equations.
- Apply calculus to optimisation, rate of change, and modelling.
Algebraic and geometric skills
- Solve problems involving lines, gradients, and triangle properties.
- Work with equations of circles and points of tangency.
- Model recurrence relations and limits of sequences.
Reasoning skills
- Interpret contexts to apply appropriate mathematical strategies.
- Explain and justify solutions, linking to real-world situations.
Notation
- Understand set notation: ∈, ∉, { }, N, W, Z, Q, R and related terminology.
Assessment structure
Question Paper 1 (Non-calculator)
- 55 marks; 1 hour 15 minutes
- Short-answer and extended-response format.
- Tests application of numerical, algebraic, geometric, trigonometric, calculus, and reasoning skills without a calculator.
- Emphasises core understanding and process fluency.
Question Paper 2
- 65 marks; 1 hour 30 minutes
- Short-answer and extended-response format.
- Calculator allowed, supporting deeper application and reasoning.
- Includes more complex problems requiring multi-step solutions.
Distribution of marks (approximate)
- Algebra: 30–45%
- Geometry: 15–35%
- Calculus: 15–40%
- Trigonometry: 10–25%
Question Paper Features
- Semi-structured papers with separate question and answer booklets.
- Around 65% of marks are at SCQF level C.
- 35% assess reasoning alongside operational skills.
Grading
- Total mark (120) from both papers determines grades A–D.
- Grade A: consistently high performance.
- Grade C: secure performance across required outcomes.
Key tips for success
Doing well in your SQA Higher Maths isn't just about how much you study, but how you study. Here are a few proven tips to help you stay on track
- Start with a clear plan: Break the subject into topics and create a revision schedule that allows enough time for each. Start early to avoid last-minute stress.
- Focus on understanding, not memorising: Use our revision notes to build a strong foundation in each topic, making sure you actually understand the material.
- Practise regularly: Attempt past papers to familiarise yourself with the exam format and timing. Mark your answers to see how close you are to full marks.
- Be strategic with your revision: Use exam questions by topic to focus on weaker areas, and flashcards to reinforce important facts and terminology.
- Learn from mistakes: Whether it's from mock exams or practice questions, spend time reviewing what went wrong and why. This helps prevent repeat mistakes in the real exam.
- Stay balanced: Don't forget to take regular breaks, eat well, and get enough sleep, a healthy routine makes revision much more effective.
With the right approach and consistent practice, you'll build confidence and improve your chances of exam success.
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