SQA · Advanced Higher · 2026
Advanced Higher Maths Formula Sheet 2026
The official SQA Advanced Higher Maths formula sheet, available to download as PDF. Includes the data sheet and relationship sheet used in the final exam.
Key formulas at a glance
Reference table of the most-used formulas from the SQA Advanced Higher Maths specification. For the full official sheet, download the PDF above.
Algebra / Binomial
| Name | Formula |
|---|---|
| Binomial theorem | (a + b)n = Σ nCr an−r br |
| Partial fractions | Decompose rational functions into proper partial fractions before integrating. |
| Maclaurin series | f(x) = Σ f(n)(0) xn / n! |
Calculus
| Name | Formula |
|---|---|
| Integration by parts | ∫ u dv = uv − ∫ v du |
| Differentiation of inverse trig | d/dx(sin−1x) = 1/√(1−x²) |
| Exponential / log derivatives | d/dx(ax) = ax ln a; d/dx(loga x) = 1/(x ln a) |
Complex numbers
| Name | Formula |
|---|---|
| de Moivre's theorem | (r cis θ)n = rn cis(nθ) |
| Modulus-argument | z = r(cos θ + i sin θ) |
Matrices
| Name | Formula |
|---|---|
| 2×2 inverse | A−1 = (1/det A) · [[d, −b], [−c, a]] |
| Determinant | det A = ad − bc |
Vectors / sequences
| Name | Formula |
|---|---|
| Scalar product | a · b = |a||b| cos θ |
| Vector product magnitude | |a × b| = |a||b| sin θ |
| Arithmetic sequence sum | Sn = n/2 (2a + (n−1)d) |
| Geometric sequence sum | Sn = a(1−rn) / (1−r) |
How to use the formula sheet
- Practise recalling formulas before relying on the sheet — it saves exam time.
- In the exam the sheet is provided, but knowing what’s on it beforehand matters.
- Use it alongside past-paper work so you learn when each formula applies.
Frequently asked questions
What is on the Advanced Higher Maths formula sheet?
The SQA Advanced Higher Maths formula sheet includes key formulas for calculus, algebra, trigonometry, matrices, and sequences.
Can I use the formula sheet in the Advanced Higher Maths exam?
Yes, SQA provides the formula sheet during the Advanced Higher Maths exam.
Where can I download the AH Maths formula sheet?
You can download the full SQA Advanced Higher Maths formula sheet as a PDF on this page.
Is the formula sheet updated for 2026?
Yes — the sheet we link here matches the current SQA 2026 Advanced Higher Mathematics course specification.
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