National 5

National 5 Applications of Mathematics

Practical National 5 Applications practice across numeracy, finance, statistics, planning, geometry and graphical information. Prepare for the 35-mark non-calculator paper and the 55-mark calculator case-study paper with original, course-aligned questions.

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.

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

Current assessment practice

These are original exam-style resources based on the current course structure; they are not official Qualifications Scotland papers.

Paper 1: 35 marksPaper 2: 55 marksFull 90-mark mockNational 5 Applications Mixed Revision

Qualification skill map

These are CfE Maths Hub learning groups, mapped to the required National 5 skills. They are not presented as official units.

Planning and reasoning

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.

Open

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.

Ready to begin
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Numeracy and Practical Problem Solving

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

Open

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.

Ready to begin
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Time, Distance and Speed

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

Open

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.

Ready to begin
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Measurement and Scale

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

Open

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.

Ready to begin
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Statistics and Data

Averages, IQR, boxplots, scattergraphs, standard deviation and statistical interpretation in real data contexts.

Open

Statistics: data interpretation and spread

Mean, median, mode, range, IQR, boxplots, correlation, statistical interpretation and standard deviation.

Course focus: Compare data with averages, IQR, boxplots, scattergraphs and standard deviation, then explain what the results mean.

Ready to begin
LearnPractiseCheck

Probability

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

Open

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.

Ready to begin
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Graphs and Relationships

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

Open

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.

Ready to begin
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Planning and Decision Making

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

Open

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.

Ready to begin
LearnPractiseCheck