National 5

National 5 Applications of Mathematics

Independent, exam-style Applications of Mathematics practice with realistic finance, statistics, measurement, speed, probability, graphs and planning contexts. Questions focus on multi-step reasoning, units, interpretation and sensible conclusions.

Pupil practice hubReadiness check

Topic library

Each section opens into explanations, worked examples, guided practice, independent practice, checks and teacher-support links where available.

Progress is saved on this device only. No account is needed.

Choose a practice section

Managing FinanceNumeracy and Practical Problem SolvingTime, Distance and SpeedMeasurement and ScaleStatistics and DataProbabilityGraphs and RelationshipsPlanning and Decision Making

Revision and printable resources

Use mixed revision for retrieval, worksheet packs for exam-style written practice, and homework for short independent consolidation.

Mixed revision

Helper and reference areas

Use these as quick method reminders before practice or mixed revision.

Finance methods

Payslips, budgets, borrowing, saving, simple and compound interest, best buys and repayments.

Time/speed/distance

Journey planning, timetables, average speed and unit-aware speed, distance and time methods.

Scale drawing reference

Map scales, plan drawings, measurement conversions, tolerance and sensible accuracy.

Statistics reference

Averages, range, graph interpretation, standard deviation meaning and comparison language.

Graphs reference

Reading axes, describing trends, rates of change and real-life relationship language.

Exam problem-solving guide

Choosing methods, checking reasonableness, comparing options and writing conclusions in context.

Managing Finance

Financial decisions using wages, deductions, budgets, interest, borrowing, and repayments.

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Finance: money, borrowing, interest and budgeting

Wages, payslips, tax, deductions, budgeting, simple and compound interest, loans, and repayments.

Course focus: Make real money decisions using payslips, budgets, interest, loans and repayments.

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Numeracy and Practical Problem Solving

Percentage change, reverse percentages, profit and loss, discounts, VAT, and interpreting outcomes.

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Numeracy: percentages and financial contexts

Percentage increase and decrease, reverse percentages, profit, loss, discounts, and VAT.

Course focus: Use percentages in shopping, business, VAT and price-change contexts.

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Time, Distance and Speed

Timetables, journey planning, time intervals, speed, distance, time, average speed, and minutes-to-hours conversion.

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Measures: time, speed and travel

Time calculations, timetables, speed, distance, time, average speed, route comparisons, and decimal-hour conversion.

Course focus: Plan journeys, compare routes, use average speed and convert minutes into hours.

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Measurement and Scale

Unit conversions, scale drawings, maps, perimeter, area, volume, compound shapes, material costs and practical measurement choices.

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Measures: scale, shape, space and accuracy

Conversions, scale drawings, maps, perimeter, area, volume, compound shapes, paint/carpet estimates and tolerance.

Course focus: Measure, convert units, read maps and plans, calculate area or volume and estimate materials.

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Statistics and Data

Averages, range, graphs, tables, scattergraphs, and sample or population standard deviation in real data contexts.

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Statistics: data interpretation and spread

Mean, median, mode, range, graph interpretation, correlation, and standard deviation table methods.

Course focus: Choose averages, read graphs, compare data, use standard deviation tables and interpret spread.

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Probability

Simple probability, complements, tables, probability scales, expected frequency and practical interpretation.

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Statistics: probability and interpretation

Probability scales, single events, not happening, tables, expected frequency, comparisons and interpretation.

Course focus: Use spinners, counters, tables, expected frequencies and real-life risk contexts.

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Graphs and Relationships

Reading graphs, interpreting gradients in context, and explaining real-life relationships.

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Numeracy: graphs, rates and relationships

Reading real-life graphs, gradients in context, and interpreting relationships.

Course focus: Read graphs, compare rates of change and explain what gradients mean.

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Planning and Decision Making

Multi-step practical problems where pupils compare options, choose methods, and justify decisions.

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Applications: reasoning, interpretation and decision making

Multi-step contextual problems, comparing options, and justifying decisions.

Course focus: Choose methods, compare options and write decisions with evidence.

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