UniGeniusHigher Maths

Higher Maths

What is in Higher Maths: the course content

Higher Maths is examined by two papers, both compulsory: Paper 1 without a calculator (55 marks) and Paper 2 with one (65 marks). The skills fall into algebra and trigonometry, geometry, calculus and reasoning, which this course teaches in eight sections.

Weeks before your first paper
Hours a week for maths
Topic 1: Polynomials and quadratics
Topic 2: Functions and graphs
Topic 3: Logarithms, exponentials and sequences
Topic 4: Trigonometry
Topic 5: Straight lines and circles
Topic 6: Vectors
Topic 7: Differentiation
Topic 8: Integration

26 weeks, 104 hours in all

Start with Topic 1

Polynomials and quadratics: 12 of your hours. It is 3 of the 40 questions on our timed checks, 13%.

Hours per topic
TopicYour hoursShare of the checks
Topic 1: Polynomials and quadratics1213%
Topic 2: Functions and graphs1213%
Topic 3: Logarithms, exponentials and sequences1213%
Topic 4: Trigonometry1213%
Topic 5: Straight lines and circles1213%
Topic 6: Vectors1213%
Topic 7: Differentiation1213%
Topic 8: Integration1213%

Week by week

  1. Week 1Section 1: Polynomials and quadratics
  2. Week 2Section 1: Polynomials and quadratics
  3. Week 3Section 1: Polynomials and quadratics
  4. Week 4Section 2: Functions and graphs
  5. Week 5Section 2: Functions and graphs
  6. Week 6Section 2: Functions and graphs
  7. Week 7Section 3: Logarithms, exponentials and sequences
  8. Week 8Section 3: Logarithms, exponentials and sequences
  9. Week 9Section 3: Logarithms, exponentials and sequences
  10. Week 10Section 4: Trigonometry
  11. Week 11Section 4: Trigonometry
  12. Week 12Section 4: Trigonometry
  13. Week 13Section 5: Straight lines and circles
  14. Week 14Section 5: Straight lines and circles
  15. Week 15Section 5: Straight lines and circles
  16. Week 16Section 6: Vectors
  17. Week 17Section 6: Vectors
  18. Week 18Section 6: Vectors
  19. Week 19Section 7: Differentiation
  20. Week 20Section 7: Differentiation
  21. Week 21Section 7: Differentiation
  22. Week 22Section 8: Integration
  23. Week 23Section 8: Integration
  24. Week 24Section 8: Integration
  25. Week 25A timed check and two paper-style questions, then review every lost mark
  26. Week 26A timed check and two paper-style questions, then review every lost mark

Check your topics with the free test

Paper 1Non-calculator, 1 hour 15 minutes, 55 marks
Paper 2Calculator, 1 hour 30 minutes, 65 marks
Total120 marks, graded A to D
Exam day 2027Friday 14 May

The eight sections of this course

  • 1 Polynomials and quadratics: the factor theorem, cubic and quartic equations, the discriminant, quadratic inequalities, where lines and curves meet.
  • 2 Functions and graphs: domain and range, composite and inverse functions, related graphs, sketching the derived graph, completing the square.
  • 3 Logarithms, exponentials and sequences: the laws of logs, log and exponential equations, models, straight-line graphs for y = ax^b and y = ab^x, recurrence relations and limits.

Reasoning runs through every paper

Besides the methods, questions ask you to choose a strategy and to explain what an answer means in its context, for example why a limit exists or why a solution is the one that fits.

Try 2 questions

Question 1Paper 1 style · no calculator
Find the remainder when  is divided by (x−3)(x - 3).
Question 2Paper 1 style · no calculator
Find the equation of the tangent to the curve  at the point where  .

Next step

Take the free testTake the course tour

Questions people ask

Is there coursework in Higher Maths?

No. The grade comes from the two question papers: 55 marks without a calculator and 65 marks with one, 120 marks in all.

Which grades are awarded?

The course is graded A to D on the total mark of both papers.

Does this course cover Applications of Mathematics?

No. It is built for Higher Mathematics only.