Free practice · 2022–2026
132 original past-paper questions and language tasks for Higher Mathematics. Choose a topic and read each question right here, with screen-friendly wording and its original equations and diagrams. Rarity shows how often its question type was found in the last five exam years—not how difficult it is.
23 matching entries · Higher. Mixed questions appear in every relevant topic filter, but are counted once.
Higher Mathematics
Paper 1 Non-calculator
PDF page 4 · check any continuation
Domains, ranges and transformations
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 7 · check any continuation
Domains, ranges and transformations · Logarithmic and exponential equations · 1 more skills
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 3 · check any continuation
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Domains, ranges and transformations · Stationary points and optimisation
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 4 · check any continuation
Domains, ranges and transformations · Stationary points and optimisation
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 6 · check any continuation
Domains, ranges and transformations · Quadratic equations and graphs
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 7 · check any continuation
Polynomial division and factor theorem · Differentiation and rates of change · 2 more skills
Use a known factor or remainder to reduce a polynomial problem.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 4 · check any continuation
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 4 · check any continuation
Domains, ranges and transformations · Quadratic equations and graphs
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 5 · check any continuation
Trigonometric equations · Domains, ranges and transformations · 2 more skills
Find every solution in the specified interval.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Domains, ranges and transformations · Quadratic equations and graphs · 1 more skills
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 8 · check any continuation
Domains, ranges and transformations
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 4 · check any continuation
Domains, ranges and transformations · Logarithmic and exponential equations
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 5 · check any continuation
Domains, ranges and transformations · Logarithmic and exponential equations · 1 more skills
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Domains, ranges and transformations · Stationary points and optimisation
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 5 · check any continuation
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 6 · check any continuation
Increasing and decreasing functions · Domains, ranges and transformations
Use the sign of the derivative to justify intervals of behaviour.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 3 · check any continuation
Inverse functions
Interchange input and output, rearrange and state restrictions where needed.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 6 · check any continuation
Polynomial division and factor theorem · Domains, ranges and transformations · 1 more skills
Use a known factor or remainder to reduce a polynomial problem.
Published marking linked · general strategy, not a model answer
Paper 1 Non-calculator
PDF page 7 · check any continuation
Polynomial division and factor theorem · Domains, ranges and transformations · 1 more skills
Use a known factor or remainder to reduce a polynomial problem.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 3 · check any continuation
Domains, ranges and transformations · Quadratic equations and graphs
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
Paper 2
PDF page 4 · check any continuation
Domains, ranges and transformations
Track how inputs, outputs and key coordinates change.
Published marking linked · general strategy, not a model answer
132 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. 9 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 are not republished in this metadata index. Checked original question pages are rendered on demand in the website without rewriting their wording or diagrams. Scans, extraction gaps and uncertain marks remain visible rather than filled with invented content. Source audit: 2026-10-21. Question index: 2026-10-23. 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