National 5Mathematics
Algebra
Algebraic fractions
Factorise before cancelling and retain restrictions on the denominator.
8 sittings · 8 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
26 distinct types · National 5 · showing 1–18
- National 5Mathematics
Algebra
Constructing algebraic expressions
Translate the given relationships into an algebraic expression or equation.
8 sittings · 30 linked pages
Practise this type 2026 example · PDF page 6 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Algebra
Expanding and factorising
Expand products or identify an appropriate factorisation.
8 sittings · 13 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Algebra
Linear equations and inequations
Solve algebraically and reverse an inequality when multiplying by a negative.
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. - National 5Mathematics
Algebra
Rearranging a formula
Apply inverse operations to isolate the requested variable.
8 sittings · 8 linked pages
Practise this type 2026 example · PDF page 8 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Algebra
Simultaneous equations
Form and solve linked equations, then interpret the solution.
5 sittings · 5 linked pages
Practise this type 2026 example · PDF page 6 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Algebra
Surds and rationalising denominators
Simplify exact roots and rationalise a denominator where required.
5 sittings · 5 linked pages
Practise this type 2026 example · PDF page 7 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Coordinate geometry
Circle equations and tangents
Connect the centre and radius with a circle equation or perpendicular tangent.
8 sittings · 20 linked pages
Practise this type 2026 example · PDF page 9 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Coordinate geometry
Coordinates and midpoints
Read or calculate coordinates and locate a midpoint in two or three dimensions.
7 sittings · 20 linked pages
Practise this type 2026 example · PDF page 10 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Coordinate geometry
Straight-line equations
Find the gradient and a suitable equation using the supplied coordinates.
8 sittings · 12 linked pages
Practise this type 2026 example · PDF page 6 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Functions
Evaluating functions
Substitute the input carefully, respecting brackets and angle units.
8 sittings · 13 linked pages
Practise this type 2026 example · PDF page 12 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Geometry
Angles in polygons and parallel lines
Use angle sums and parallel-line relationships, stating the property when a reason is required.
3 sittings · 3 linked pages
Practise this type 2026 example · PDF page 12 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Geometry
Circle geometry
Use the relevant circle property and justify relationships.
8 sittings · 18 linked pages
Practise this type 2026 example · PDF page 9 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Geometry
Pythagoras and its converse
Identify the hypotenuse and test or apply the squared-length relationship.
5 sittings · 5 linked pages
Practise this type 2026 example · PDF page 10 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Geometry
Similarity and scale factors
Distinguish length, area and volume scale factors.
5 sittings · 6 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Geometry
Surface area and volume
Select a suitable solid model, use consistent units and interpret the result.
8 sittings · 19 linked pages
Practise this type 2026 example · PDF page 5 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Numerical skills
Compound growth and depreciation
Apply a repeated multiplier, retaining precision until the final answer.
7 sittings · 7 linked pages
Practise this type 2026 example · PDF page 3 (opens original official paper in a new tab)
Repeated appearances grouped into this type. - National 5Mathematics
Numerical skills
Fractions and numerical operations
Work with exact fractions and show the order of operations.
8 sittings · 11 linked pages
Practise this type 2026 example · PDF page 5 (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.
- National 5 Mathematics26 types · 16 question PDFs checked · 48 text segments awaiting classification