Skip to content
ScotSpark

Free practice · 2022–2026

Past-paper questions.
Organised for practice.

4,097 source-linked questions and language tasks across 14 subjects. Choose a topic, attempt the original question, then use its published marking and method guidance.

Reset filters

Choose your next question.

4,097 matching entries · showing 97–120. Mixed questions appear in every relevant topic filter, but are counted once.

National 5 Applications of Mathematics

Statistics

Higher Applications of Mathematics

Mixed-topic questions

  • 2026 · Question 1

    3 marks
    Automatically indexed

    QP
    PDF page 3 · check any continuation

    Mortgages and repayment modelling · Savings, annuities and schedules · 2 more skills

    Use the supplied terms to model repayment and interpret the remaining balance.

    Practise question: 2026 Applications of Mathematics QP, Question 1

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 3

    7 marks
    Automatically indexed

    QP
    PDF page 6 · check any continuation

    Spreadsheet formulae and software output · Time, distance and rates · 2 more skills

    Use the required software and retain the relevant formulae or statistical output.

    Practise question: 2026 Applications of Mathematics QP, Question 3

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 5

    10 marks
    Automatically indexed

    QP
    PDF pages 8–9 · check any continuation

    Spreadsheet formulae and software output · Absolute and relative error · 4 more skills

    Use the required software and retain the relevant formulae or statistical output.

    Practise question: 2026 Applications of Mathematics QP, Question 5

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 6

    3 marks
    Automatically indexed

    QP
    PDF page 10 · check any continuation

    Savings, annuities and schedules · Percentages and compound change · 1 more skills

    Track interest, deposits and timing consistently.

    Practise question: 2026 Applications of Mathematics QP, Question 6

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 7

    4 marks
    Automatically indexed

    QP
    PDF page 11 · check any continuation

    Probability, Venn and tree diagrams · Statistical summaries and box plots · 2 more skills

    Identify the relevant outcomes and use the appropriate probability model.

    Practise question: 2026 Applications of Mathematics QP, Question 7

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 8

    9 marks
    Automatically indexed

    QP
    PDF pages 12–13 · check any continuation

    Pay, tax and deductions · Spreadsheet formulae and software output · 9 more skills

    Apply the supplied bands, allowances or rates rather than current real-world assumptions.

    Practise question: 2026 Applications of Mathematics QP, Question 8

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 9

    7 marks
    Automatically indexed

    QP
    PDF pages 14–15 · check any continuation

    Probability, Venn and tree diagrams · Pay, tax and deductions · 1 more skills

    Identify the relevant outcomes and use the appropriate probability model.

    Practise question: 2026 Applications of Mathematics QP, Question 9

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 10

    5 marks
    Automatically indexed

    QP
    PDF pages 16–17 · check any continuation

    Pay, tax and deductions · Mathematical models and optimisation · 5 more skills

    Apply the supplied bands, allowances or rates rather than current real-world assumptions.

    Practise question: 2026 Applications of Mathematics QP, Question 10

    Published marking linked · general strategy, not a model answer

  • 2026 · Question 11

    5 marks
    Automatically indexed

    QP
    PDF pages 18–19 · check any continuation

    Critiquing statistical claims · Estimation and modelling assumptions

    Use the data and their limitations to evaluate a claim or representation.

    Practise question: 2026 Applications of Mathematics QP, Question 11

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 3

    4 marks
    Automatically indexed

    QP
    PDF page 5 · check any continuation

    Pay, tax and deductions · Critiquing statistical claims · 2 more skills

    Apply the supplied bands, allowances or rates rather than current real-world assumptions.

    Practise question: 2025 Applications of Mathematics QP, Question 3

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 4

    6 marks
    Automatically indexed

    QP
    PDF page 7 · check any continuation

    Network diagrams and critical paths · Mathematical models and optimisation

    Respect task dependencies and determine the project duration or critical path.

    Practise question: 2025 Applications of Mathematics QP, Question 4

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 5

    5 marks
    Automatically indexed

    QP
    PDF page 8 · check any continuation

    Spreadsheet formulae and software output · Critiquing statistical claims

    Use the required software and retain the relevant formulae or statistical output.

    Practise question: 2025 Applications of Mathematics QP, Question 5

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 6

    4 marks
    Automatically indexed

    QP
    PDF page 9 · check any continuation

    Critiquing statistical claims · Savings, annuities and schedules · 2 more skills

    Use the data and their limitations to evaluate a claim or representation.

    Practise question: 2025 Applications of Mathematics QP, Question 6

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 7

    4 marks
    Automatically indexed

    QP
    PDF pages 10–11 · check any continuation

    Probability, Venn and tree diagrams · Pay, tax and deductions · 2 more skills

    Identify the relevant outcomes and use the appropriate probability model.

    Practise question: 2025 Applications of Mathematics QP, Question 7

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 8

    10 marks
    Automatically indexed

    QP
    PDF pages 12–13 · check any continuation

    Pay, tax and deductions · Spreadsheet formulae and software output · 6 more skills

    Apply the supplied bands, allowances or rates rather than current real-world assumptions.

    Practise question: 2025 Applications of Mathematics QP, Question 8

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 9

    6 marks
    Automatically indexed

    QP
    PDF pages 14–15 · check any continuation

    Probability, Venn and tree diagrams · Statistical summaries and box plots · 3 more skills

    Identify the relevant outcomes and use the appropriate probability model.

    Practise question: 2025 Applications of Mathematics QP, Question 9

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 10

    7 marks
    Automatically indexed

    QP
    PDF pages 16–18 · check any continuation

    Mathematical models and optimisation · Packing, tolerance and practical constraints

    Use a model to answer the practical question and discuss assumptions or limitations.

    Practise question: 2025 Applications of Mathematics QP, Question 10

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 11

    Marks: check original
    Needs extraction or metadata checks

    QP
    PDF page 19 · follow the choice instructions

    Pay, tax and deductions · Mathematical models and optimisation · 2 more skills

    Apply the supplied bands, allowances or rates rather than current real-world assumptions.

    Practise question: 2025 Applications of Mathematics QP, Question 11

    Published marking linked · general strategy, not a model answer

  • 2025 · Question 12

    7 marks
    Automatically indexed

    QP
    PDF page 20 · check any continuation

    Probability, Venn and tree diagrams · Spreadsheet formulae and software output · 1 more skills

    Identify the relevant outcomes and use the appropriate probability model.

    Practise question: 2025 Applications of Mathematics QP, Question 12

    Published marking linked · general strategy, not a model answer

  • 2024 · Question 1

    3 marks
    Automatically indexed

    QP
    PDF page 3 · check any continuation

    Mortgages and repayment modelling · Savings, annuities and schedules · 2 more skills

    Use the supplied terms to model repayment and interpret the remaining balance.

    Practise question: 2024 Applications of Mathematics QP, Question 1

    Published marking linked · general strategy, not a model answer

  • 2024 · Question 3

    11 marks
    Automatically indexed

    QP
    PDF pages 6–8 · check any continuation

    Network diagrams and critical paths · Mathematical models and optimisation · 1 more skills

    Respect task dependencies and determine the project duration or critical path.

    Practise question: 2024 Applications of Mathematics QP, Question 3

    Published marking linked · general strategy, not a model answer

Coverage and questions still needing checks

4,097 numbered questions or named language tasks across 250 source PDFs in this subject/level selection. Repeated copies of the same extracted question are grouped once. 117 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.

3 source PDFs need extraction or numbering checks

Browse all original papers and marking instructions