Free practice · 2022–2026
99 source-linked questions and language tasks for National 5 Applications of Mathematics. Choose a topic, attempt the original question, then use its published marking and method guidance.
99 matching entries · National 5 · showing 1–24. Mixed questions appear in every relevant topic filter, but are counted once.
National 5 Applications of Mathematics
Paper 1 Non-calculator
PDF page 5 · check any continuation
Pay, tax and deductions · Budgeting and financial decisions · 1 more skills
Apply the supplied bands, allowances or rates rather than current real-world assumptions.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 9 · check any continuation
Pay, tax and deductions · Budgeting and financial decisions · 1 more skills
Apply the supplied bands, allowances or rates rather than current real-world assumptions.
Published marking linked · general strategy, not a model answer
National 5 Applications of Mathematics
Paper 1 Non-calculator
PDF page 3 · check any continuation
Measurements, scales and unit conversion
Use compatible units and interpret the precision of a measurement.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 13 · check any continuation
Perimeter and circumference
Identify all boundary lengths, including curved sections and any excluded gaps.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Area, volume and surface area
Choose a suitable geometric model and interpret the practical quantity.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 3 · check any continuation
Measurements, scales and unit conversion
Use compatible units and interpret the precision of a measurement.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 9 · check any continuation
Pythagoras and gradients
Identify the relevant triangle or rise and run with consistent units.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 12 · check any continuation
Scale drawings and bearings · Measurements, scales and unit conversion
Construct or interpret the route using the stated scale and north direction.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Area, volume and surface area
Choose a suitable geometric model and interpret the practical quantity.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 6 · check any continuation
Pythagoras and gradients · Area, volume and surface area
Identify the relevant triangle or rise and run with consistent units.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 11 · check any continuation
Pythagoras and gradients
Identify the relevant triangle or rise and run with consistent units.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Perimeter and circumference
Identify all boundary lengths, including curved sections and any excluded gaps.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 14 · check any continuation
Area, volume and surface area
Choose a suitable geometric model and interpret the practical quantity.
Published marking linked · general strategy, not a model answer
National 5 Applications of Mathematics
Paper 1 Non-calculator
PDF page 5 · check any continuation
Pay, tax and deductions · Mathematical models and optimisation · 2 more skills
Apply the supplied bands, allowances or rates rather than current real-world assumptions.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 6 · check any continuation
Network diagrams and critical paths · Mathematical models and optimisation
Respect task dependencies and determine the project duration or critical path.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 8 · check any continuation
Fractions, ratios and proportional reasoning · Pythagoras and gradients
Compare quantities on a common basis and interpret the result.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 9 · check any continuation
Pay, tax and deductions · Percentages and compound change
Apply the supplied bands, allowances or rates rather than current real-world assumptions.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 10 · check any continuation
Time, distance and rates · Packing, tolerance and practical constraints · 2 more skills
Use compatible units and account for elapsed time or return journeys.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 11 · check any continuation
Time, distance and rates · Area, volume and surface area
Use compatible units and account for elapsed time or return journeys.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 11 · check any continuation
Fractions, ratios and proportional reasoning · Measurements, scales and unit conversion
Compare quantities on a common basis and interpret the result.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 12 · check any continuation
Probability, Venn and tree diagrams · Fractions, ratios and proportional reasoning
Identify the relevant outcomes and use the appropriate probability model.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 14 · check any continuation
Fractions, ratios and proportional reasoning · Sampling and experimental design · 1 more skills
Compare quantities on a common basis and interpret the result.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 5 · check any continuation
Pay, tax and deductions · Percentages and compound change · 2 more skills
Apply the supplied bands, allowances or rates rather than current real-world assumptions.
Published marking linked · general strategy, not a model answer
Paper 2
PDF pages 6–9 · check any continuation
Time, distance and rates · Scale drawings and bearings · 2 more skills
Use compatible units and account for elapsed time or return journeys.
Published marking linked · general strategy, not a model answer
99 numbered questions or named language tasks across 10 source PDFs in this subject/level selection. Repeated copies of the same extracted question are grouped once. 4 entries still need topic classification. Optional essay and text choices are included; these counts are not the number you must answer in an exam.
Question anchors and printed allocations are extracted from SHA-256-verified source PDFs. Optional alternatives are not added together. Applicable all-question paper totals are reconciled with the printed rubric; mismatches withhold automatic mark totals. A first written-answer marking row is never treated as a whole-question total. Exact marking pages require a section-matched table anchor or a wording- and digest-checked source pair. Topic headings are conservative rule matches and provisional, not independently reviewed or proof of current syllabus coverage. Original questions, diagrams, passages and official answers remain in their source PDFs, not republished here. Scans, extraction gaps and uncertain marks remain visible rather than filled with invented content. Source audit: 2026-10-21. Question index: 2026-10-22. There were no ordinary exam sittings in 2020 or 2021. This is not a claim that every question has been independently checked or that scanned papers are fully indexed.
Browse all original papers and marking instructions