National 4

National 4 Applications of Mathematics

Unit-readiness and practical problem solving for National 4 Applications of Mathematics. Pupils practise finance, statistics, probability, measurement, scale, speed and graph interpretation with a stronger focus on choosing methods and using units correctly.

Topic library

Each topic opens into Learn, Practise, Check and Answers routes, with graph/data visuals and teacher dashboard support where available.

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

Choose a practice section

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, best value, percentage change and reverse percentage checks.

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.

Finance, Numeracy and Time

Unit-readiness finance, percentage, fraction, ratio and time skills in practical contexts.

Open

Numeracy: percentages and proportion

Percentages

Discounts, increases, decreases, reverse percentages and percentage decisions.

Unit-readiness focus: Build confidence with discounts, increases, decreases and percentage problems.

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Numeracy: fractions and parts of amounts

Fractions

Equivalent fractions, simplifying, sharing amounts and interpreting parts of quantities.

Unit-readiness focus: Build confidence with equivalent fractions, simplifying, and parts of amounts.

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Numeracy: ratio and scaling

Ratio

Sharing amounts, simplifying ratios and scaling recipes, plans or mixtures.

Unit-readiness focus: Work with sharing, simplifying ratios and scaling recipes or mixes.

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Numeracy: proportion and inverse proportion

Proportion and inverse proportion

Direct proportion, inverse proportion, unitary method and practical scaling decisions.

Unit-readiness focus: Use find one, then scale for direct proportion, and spot when more workers means less time.

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Numeracy: time and scheduling

Time

Timetables, durations, calendars and time calculations in everyday planning.

Unit-readiness focus: Work on timetables, durations, calendars, and time problems.

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Finance: money in context

Money

Wages, bills, budgeting, best value, discounts, repayments and financial choices.

Unit-readiness focus: Try wages, budgets, best value, bills and everyday money choices.

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Statistics, Probability and Graphs

Data handling, chance, graph interpretation and clear conclusions for unit readiness.

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Statistics: data handling

Statistics and Data

Averages, range, bar charts, pie charts, line graphs, scattergraphs, trends and data comparisons.

Unit-readiness focus: Read charts, scattergraphs, correlation, lines of best fit, averages, range and comparisons.

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Statistics: probability

Probability

Chance, likelihood, simple probability, expected frequency and outcomes.

Unit-readiness focus: Use chance, likelihood, outcomes and simple probability.

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Measurement, Scale and Movement

Practical measuring skills for shape, space, scale, speed, units and accuracy.

Open

Measures: units and scale

Measurement

Units, conversions, scale drawings, maps and sensible accuracy.

Unit-readiness focus: Strengthen units, conversions, scale drawings and sensible accuracy.

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Geometry: area

Geometry and Practical Measure

Area, perimeter and practical geometry for common and compound shapes.

Unit-readiness focus: Find area for common shapes and compound shapes.

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Geometry: volume and capacity

Volume

Volume and capacity for cubes, cuboids, and prisms.

Unit-readiness focus: Work on volume and capacity for cubes, cuboids and prisms.

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Measures: compound measures

Speed, Distance and Time

Use speed, distance and time relationships in realistic journeys.

Unit-readiness focus: Use speed, distance and time in real contexts.

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