National 4

National 4 Applications of Mathematics

Practical problem solving across the three mandatory units: Numeracy, Managing Finance and Statistics, and Geometry and Measures. Build the breadth, application and reasoning needed for the internally assessed Applications of Mathematics Test.

Topic library

Each topic sits inside its qualification unit and opens into Learn, Practise, Check and Answers routes. Optional National 5 preparation is separated below.

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

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Revision and printable resources

Use mixed revision for retrieval, worksheet packs for written evidence readiness, and homework for independent consolidation.

Reference and helper focus

Finance and percentage methods

Bills, wages, budgets, supplied deductions, currency, savings and best-value decisions.

Statistics and graphs

Bar graphs, pie charts, line graphs, scattergraphs, correlation, trend language and line of best fit estimates.

Measurement and scale

Metric conversions, scale drawings, perimeter, area, volume and accuracy decisions.

Probability and problem solving

Outcome language, simple probability, multi-step contexts and reasoned conclusions.

Numeracy (National 4)

Select and apply number, money, time, measurement, data and probability skills in straightforward real-life problems.

Open

Numeracy: number processes

Number Skills

Operations, negative numbers, rounding, estimation, notation and choosing an appropriate process.

Unit-readiness focus: Choose and check number methods in practical situations.

Ready to begin

Numeracy: fractions

Fractions

Simple fractions of quantities and common fraction, decimal and percentage equivalences.

Unit-readiness focus: Use fractions of quantities and switch between common forms.

Ready to begin

Numeracy: percentages

Percentages

Simple percentages, percentage increase and decrease, and practical decisions.

Unit-readiness focus: Use percentages to compare changes and make practical decisions.

Ready to begin

Numeracy: ratio, rate and direct proportion

Ratio and Direct Proportion

Ratio, direct proportion, rates, recipes, mixtures and practical scaling.

Unit-readiness focus: Share, compare and scale quantities using ratio and direct proportion.

Ready to begin

Numeracy: time

Time and Planning

12/24-hour time, intervals, schedules and planning, including across midnight.

Unit-readiness focus: Use time information to plan journeys, shifts and events.

Ready to begin

Numeracy: rate and journeys

Speed, Distance and Time

Rates, distance from speed and time, and straightforward journey decisions.

Unit-readiness focus: Use speed, distance and time in realistic journeys.

Ready to begin

Numeracy: probability

Probability and Risk

Probability, trends, predictions and straightforward risk decisions.

Unit-readiness focus: Use likelihood and evidence to make and explain decisions.

Ready to begin

Applications of Mathematics: Managing Finance and Statistics (National 4)

Interpret finance and data, select a strategy, calculate a solution and explain it in its real-life context.

Open

Managing Finance and Statistics: financial outcome

Finance, Pay and Money

Budgets, pay and deductions, best deals, currency, savings, borrowing and financial decisions.

Unit-readiness focus: Read financial information, calculate accurately and explain a choice.

Ready to begin

Managing Finance and Statistics: statistical outcome

Statistics and Data

Risk, statistical diagrams, mean and range, frequency tables, scattergraphs and best-fit estimates.

Unit-readiness focus: Organise, represent and compare data, then draw a clear conclusion.

Ready to begin

Applications of Mathematics: Geometry and Measures (National 4)

Use measurement and geometric reasoning in practical planning, design, navigation, packing and construction contexts.

Open

Geometry and Measures: measures outcome

Measurement, Scale and Navigation

Instruments, conversions, scale drawings, bearings, first-fit packing, tolerance and related quantities.

Unit-readiness focus: Measure, scale, navigate, pack and make accuracy decisions.

Ready to begin

Geometry and Measures: geometric outcome

Perimeter, Area and Pythagoras

Gradient, rectilinear and circular perimeter, required areas, composite shapes, Pythagoras and scale factor.

Unit-readiness focus: Use geometry to solve practical design and access problems.

Ready to begin

Geometry and Measures: geometric outcome

Volume and Capacity

Volume of prisms including cuboids and cylinders, plus practical capacity decisions.

Unit-readiness focus: Calculate prism volume and interpret capacity in context.

Ready to begin

Mandatory Added Value Unit

Applications of Mathematics Test (National 4)

The official test is set and internally marked by centres. It has a non-calculator part and a calculator part and assesses breadth, application, integration and reasoning across all three units. CfE Maths Hub provides independent practice only—not an official assessment.

Open Added Value-style practice

Optional progression

Preparing for National 5 Applications

Optional progression practice. This content is not counted as mandatory National 4 course coverage.

Preparing for National 5 Applications

Preparing for National 5: Proportion and Inverse Proportion

Direct and inverse proportion with workers, machines and fixed totals.

Unit-readiness focus: Extend direct proportion and explore inverse relationships when ready.

Ready to begin