HigherMathematics
Algebra
Expanding and factorising
Expand products or identify an appropriate factorisation.
3 sittings · 3 linked pages
Repeated appearances grouped into this type.
2017–2026 · National 5 & Higher
More skills.
Less repetition.
529 distinct skill groups across 14 subjects. Find a question type, open an example in its original paper and check the published marking instructions. Repeated appearances are grouped, not duplicated.
Source-linked practice, not a complete new question bank
These are provisional skill groups linked to real papers, not copied questions or newly written worked solutions. Repeated appearances share one entry. Some text still needs classification and 3 scanned question papers need OCR, so not every type is verified yet.
2020 and 2021 exams were cancelled. Older questions may use a different course or marking format.
Mathematics question types
25 distinct types · Higher · showing 1–18
- HigherMathematics
Calculus
Areas under and between curves
Find the boundaries, integrate the difference and account for areas below the axis.
8 sittings · 8 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Calculus
Differentiation and rates of change
Differentiate the supplied function and apply the result in context.
8 sittings · 15 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Calculus
Increasing and decreasing functions
Use the sign of the derivative to justify intervals of behaviour.
4 sittings · 4 linked pages
Practise this type 2026 example · PDF page 6 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Calculus
Integration and definite integrals
Find an antiderivative and use limits or a supplied condition correctly.
7 sittings · 12 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Calculus
Stationary points and optimisation
Find critical values and justify their nature or practical relevance.
8 sittings · 17 linked pages
Practise this type 2026 example · PDF page 4 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Calculus
Tangent equations to curves
Differentiate to find the gradient, then use the point to form the tangent equation.
5 sittings · 5 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Coordinate geometry
Circle equations and tangents
Connect the centre and radius with a circle equation or perpendicular tangent.
8 sittings · 19 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Coordinate geometry
Straight-line equations
Find the gradient and a suitable equation using the supplied coordinates.
8 sittings · 22 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Exponentials and logarithms
Exponential growth and decay models
Interpret the initial value and use logarithms to find a time or threshold.
3 sittings · 3 linked pages
Practise this type 2026 example · PDF page 9 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Exponentials and logarithms
Logarithmic and exponential equations
Use logarithm laws and solve within the valid domain.
8 sittings · 16 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Functions
Domains, ranges and transformations
Track how inputs, outputs and key coordinates change.
8 sittings · 28 linked pages
Practise this type 2026 example · PDF page 4 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Functions
Function composition
Apply functions in the stated order and check the resulting domain.
8 sittings · 8 linked pages
Practise this type 2026 example · PDF page 4 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Functions
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
7 sittings · 9 linked pages
Practise this type 2026 example · PDF page 7 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Polynomials
Polynomial division and factor theorem
Use a known factor or remainder to reduce a polynomial problem.
8 sittings · 11 linked pages
Practise this type 2026 example · PDF page 6 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Quadratics
Completing the square
Rewrite the quadratic and use its turning point or minimum.
5 sittings · 5 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Quadratics
Quadratic equations and graphs
Choose factorisation, a formula or the discriminant to answer the actual task.
8 sittings · 10 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - HigherMathematics
Sequences
Recurrence relations and limits
Generate terms, analyse a possible limit and interpret a model.
6 sittings · 8 linked pages
Practise this type 2026 example · PDF page 4 (opens original official paper in a new tab)
Repeated appearances grouped into this type.
What is covered, and what still needs review?
Rule-assisted question-family grouping from the audited PDF text. One entry per subject, level and skill family; repeated years and examples are grouped, not separate types. Identical normalised page text within a sitting is linked once, preferring split papers over combined copies. Sources open the original PDF page. Classification is provisional, not a claim of exhaustive syllabus coverage or independent subject-review sign-off. Counts below are skill groups and linked question documents, not question counts or exam predictions. Text-segment counts may include extraction fragments and are not counts of unclassified questions.
- Higher Mathematics25 types · 16 question PDFs checked · 21 text segments awaiting classification