Higher Mathematics

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Course Content
Frequently Asked Questions

SQA Higher Maths Online Course (2025/26 Curriculum)

This online course is fully aligned to the Qualifications Scotland (formerly SQA) 2026 Higher Maths curriculum and is designed to help students build strong, exam-ready understanding, whether aiming for a Grade A or a solid pass.

What are the key features of this Higher Maths course?

Our course is built by experienced teachers to help students master abstract theory at their own pace.

  • Visual learning: Animated lessons that demonstrate mathematical logic, moving beyond static textbook theory.
  • National 5 to Higher transition: Modules specifically designed to help students bridge the gap smoothly.
  • Problem-solving focus: Step-by-step worked examples that build flexible thinking, not rote memorisation.
  • Expert SQA guidance: Content shaped by teachers who understand marking schemes and examiner expectations.
  • Built around how students learn best: Clear, structured explanations at a pace students control.

Flexible, On-Demand Learning for Scottish Students

With 24/7 access to every light, animated explanation, students can jump straight to the exact concept they need, whether revisiting a single fact, refreshing a tricky point or a returning to an earlier chapter. This flexible, student-led design gives them the freedom to study their way, and build real confidence for the Higher Maths final assessment.

Who is the Higher Maths course for?

This course is designed for anyone studying the Qualifications Scotland (SQA) curriculum who wants a more engaging, visual way to learn Higher Maths. It is especially effective for:

  • S5 & S6 students: A clear, visual alternative to traditional classroom notes.
  • Adult learners: A structured, jargon-free refresher for further study, personal development or career progression.
  • Visual learners: Ideal for those who learn best through animation and demonstration.
  • Students bridging the gap from Nat 5: Extra support for managing the jump to Higher.

What are the requirements for the Higher Maths exam?

To prepare effectively for the Qualifications Scotland (SQA) Higher Maths exam, students should meet the following requirements:

  • Prior Attainment: A solid understanding of the SQA National 5 Maths curriculum (or equivalent GCSE level). This ensures a smooth transition to Higher-level concepts.
  • Equipment: A non-programmable scientific calculator approved by the SQA, plus basic stationery for practice.

Algebra

  • Linear Recurrence Relations: Limits and long-Term Effects; Linked Variables; Unknown Terms.
  • Polynomials: Remainder & Factor Theorems; Unknown Coefficients; Functions From Graphs.
  • Quadratic Functions: The Discriminant & Tangency; Quadratic Equations & Inequations; Graphing Quadratic Functions.
  • Logarithms & Exponentials: Exponential Growth & Decay; Laws of Logarithms; Experimental Data and Their Graphs.

Geometry

  • The Straight Line: Distance & Midpoint; Gradient; Equations of the Line; Lines in a Triangle.
  • The Circle: General Equations of a Circle; Intersection of a Line & Circle; Tangents to a Circle.
  • Functions & Graphs: Set notation & Definitions; Inverse Functions; Composition of Functions; Transformations.
  • Vectors: 3-D Vectors; Dividing a Line with a Ratio; Algebraic & Geometric Scalar Product.

Trigonometry

  • Trigonometric Graphs & Equations: Radians; Exact Values; Graphs and their Transformations; Trigonometric Equations.
  • Compound & Multiple Angles: Compound Angles; Double Angles; Trigonometric Identities; Trigonometric Equations.
  • The Wave Function: Sin & Cos as Single Trig Functions; Maximum & Minimum Values; Solving Trig Equations.

Calculus

  • Differentiation: Differentiation Process; Tangents to a Curve; Stationary Points; Curve Sketching; Optimisation.
  • Integration: Rules of Integration; Indefinite & Definite Integrals; Applications of Integration.
  • Further Calculus: Differentiation & Integration of Sine & Cosine; Chain Rule; Integrating Composite Functions.

Yes.

All Mint Maths materials are fully updated for the current academic year.

If the curriculum shifts or new exam trends emerge, we update our content immediately. You can be confident you are always studying exactly what you need to pass.

A private Higher Maths tutor in Scotland typically costs £30 - £50 per hour.

For less than the price of a few sessions, Mint Maths gives you flexible, 24/7 access to clear, expert teaching for the entire year.  Every lesson is created by fully qualified Scottish teachers who understand Qualifications Scotland (SQA) expectations and have shaped each explanation to mirror real classroom teaching, showing the thinking behind the maths, not just the steps.

Absolutely.

The "Higher Jump" is well known for being real, but we bridge the gap. We build the relevant N5 recaps (like algebraic manipulation and fractions) directly into each Higher topic. We fix your foundations before moving on to the complex stuff.

Yes, the course is suitable for both adult learners and senior school students.

While many learners are in S5 or S6, a large number are adults returning to education for career changes, further study or personal development. The course is fully self-paced, and the menu gives you complete control - you can jump into any page whenever you need it. With one clear idea on each page, it's easy to revisit exactly the concept you want without searching through long videos or dense notes.

Yes, this course is suitable for neurodivergent learners.

We've built Mint Maths to be the calm, focused alternative to a busy classroom. Instead of "walls of text", you'll find carefully structured visual animations and a one-idea-per-page approach that keeps learning clear and manageable. We also avoid italics in all our teaching notation - a small but important change that helps dyslexic learners focus on understanding the maths, rather than decoding the symbols first. And to ensure students feel fully exam-ready, we still introduce the slanted serif font used in official Qualifications Scotland (SQA) papers, so nothing comes as a surprise on the day.

Yes - it's the perfect companion.

Many students use our animated lessons to "pre-learn" upcoming topics before seeing them in class, or to get a fresh perspective on ideas that didn't quite make sense during a lesson or tutoring session. It becomes a reliable study companion that's, always available, with clear explanations, worked examples, practice questions and all the skills needed for the exam.

Course Information

Created by expert SQA teachers

Interactive, animated lessons

Essential Nat 5 skill recaps

Exam-ready tactics throughout

Built around how students learn

100% flexible & on-demand

Fully updated for 2025/26

Better grades are one click away.

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