AS-Level Pure Maths

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AS-Level Pure Maths Online Course (Dept for Education, England & Wales)

This online course follows the Department for Education's AS-Level Pure Maths content, which all exam boards in England and Wales must meet. It covers the full first year of the two-year A-level programme, with the option to sit the standalone AS exam at the end of Year 12, though this is not required for completing the full A-level. The course is designed to build secure, exam-ready understanding and support students aiming for anything from a strong pass to a top grade A.

What are the key features of this AS-level course?

Our course is built by experienced teachers to help students develop the algebraic and analytic skills needed at AS-level, at a pace they control.

  • Visual learning: Animated explanations that make abstract concepts easier to grasp than static textbook diagrams.
  • GCSE to AS transition: Targeted modules designed to bridge the jump in difficulty and build early confidence.
  • Problem-solving focus: Step-by-step examples that strengthen flexible thinking, not memorised routines.
  • Exam-board ready: Content shaped by teachers who understand AS question styles and examiner expectations.
  • Designed for how students learn: Clear, structured teaching that supports steady progress  toward A-level success.

Flexible, On-Demand Learning for AS-Level Students

Students get 24/7 access to every light, animated explanation, so they can jump straight to the exact idea they need - whether checking a single fact, revisiting a tricky step, or returning to an earlier topic. This flexible, student-led design lets them study in the way that suits them and build genuine confidence for the AS exam or move into full A-level.

Who is the AS-Level Pure Maths course for?

This course is designed for students following the Department for Education's AS/A-Level Maths who want a clearer, more visual way to learn the first year of A-level Maths. It is especially effective for:

  • Year 12 students: A focused, visual alternative to dense notes and fast-paced lessons.
  • Adult learners: A structured, jargon-free route into maths for further study or career development.
  • Visual learners: Ideal for anyone who understand best through animation, demonstration and step-by-step clarity.
  • Students moving up from GCSE: Extra guidance for managing the jump in difficulty and building early confidence.

Requirements for the AS-Level Maths course and exam

To prepare effectively for AS-Level Maths, students benefit from meeting a small number of practical and academic requirements.

  • Prior Attainment: Students should feel broadly comfortable with the main ideas from GCSE (or equivalent), as this forms the foundation for stepping up to AS-Level. Perfect recall isn't expected - Mint Maths is designed to rebuild any gaps so new content feels like a natural, steady progression.
  • Equipment: A non-programmable scientific calculator approved for AS/A-Level exams, along with basic stationery for practice.

Algebra

  • Proofs: Proof by Deduction, Proof by Exhaustion, Disproof by Counter Example.
  • The Binomial Expansion: Binomial expansion and its Notations.
  • Surds & Indices: Laws of Surds, Rationalising the Denominator, Laws of Indices.
  • Simultaneous Equations & Inequations: Solving Simultaneous Equations, Solving Linear and Quadratic Inequalities.
  • Quadratic Functions: Factorising, Completing the Square, Roots and the Discriminant, Sketching Graphs, Quadratic Inequations.
  • Polynomials: Manipulate Polynomials Algebraically, Expanding Brackets, Factorisation, Algebraic Division, the Factor Theorem.
  • Logarithms & Exponentials: Exponential Functions, Laws of Logarithms, Graphs of Growth and Decay, Experimental Data and Their Linear Graphs.

Geometry

  • The Straight Line: Equations of the Line, Gradients, Modelling with the Straight Line.
  • The Circle: Coordinate Geometry, Equations of the Circle, Angles in a Semi-Circle, Chord & Radius, Tangents to a Circle.
  • Graphs & Their Transformations: Curve Sketching, Asymptotes, Intersection of Points, Graphs of Reciprocal Functions and Negative Powers, Translations, Stretches, Reflections.
  • 2-D Vectors: Position Vectors, Addition and Multiplication by Scalars, Modelling with Vectors.

Trigonometry

  • Sine & Cosine Rules: Finding sides and angles.
  • Area of a Triangle: Using the Sine Ratio.
  • Graphs of Trig Functions: Sin, Cos & Tan.
  • Trig Identities: Simplifying and Solving Trig Equations.
  • Trig Equations: Solving using a CAST diagram.

Calculus

  • Differentiation: Gradient of a Curve, Tangents & Normals, Differentiating from First Principles, the Second Derivative, Stationary Points, Increasing & Decreasing Functions, Curve Sketching, Optimisation.
  • Integration: The Fundamental Theorem of Calculus, Rules of Integration, Definite Integrals, Area Under a Curve.

Mint Maths follows the Department for Education's AS-Level Maths subject content, which all major exam boards use. Because the Pure Maths syllabus is nationally standardised, the web app prepares students for any AS-Level exam. Differences between boards appear mainly in applied topics, not in the Pure content that forms the majority of the assessment.

The Mint Maths web app is built for Year 12 students preparing for the June exams, with clear, step-by-step explanations of every Year 1 Pure topic.

It also supports the jump from GCSE to A-Level, building the algebraic fluency and problem-solving skills expected at this stage, while laying the groundwork for the rest of the A-level course.

Mint Maths strengthens the Pure Maths skills that Year 2 depends on - algebra, functions, trigonometry, calculus, vectors and modelling. A secure grasp of these ideas is essential for success in Year 13. By consolidating them now, students enter the second year with the fluency and confidence needed to tackle more advanced A-Level topics.

Statistics is assessed differently across exam boards and often depends on context-specific data sets and school-specific interpretation tasks. A generic online module rarely matches what stduents will actually be examined on.

Mint Maths focuses on the Pure content, worth around 66% of the AS grade, building the algebraic and graphical fluency needed to handle statistical formulas and reasoning confidently.

Mechanics (or Applied Maths) is not separated in the DfE subject content, and each exam board structures its applied questions differently.

Instead of a one-size-fits-all module, Mint strengthens the core Pure skills, (algebra, trig, calculus, vectors, modelling) that Mechanics relies on. Applied reasoning then appears where it naturally supports understanding.

The Mint Maths platform brings together clear, animated explanations, worked examples, guided practice, exam tips and digital revision resources, designed for self-paced, independent study.

All the content is organised around the high-value Pure Maths topics that drive success at AS-Level and form the backbone of A-Level Maths.

The structure is simple and accessible, helping students focus on understanding rather than navigating a complex platform.

Course Information

100% flexible & on-demand

Built around how students learn

Exam-ready tactics throughout

Interactive, animated lessons

Essential GCSE skill recaps

Created by experienced teachers

Fully updated for 2025/27

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