Scottish CfE

National 3 Applications of Mathematics

Practical learning and practice for the current Scottish National 3 qualification. Work through the three mandatory units: Numeracy, Manage Money and Data, and Shape, Space and Measures.

Topic library

Topics use practical contexts, supported examples, visual prompts, practice questions and quizzes mapped to the qualification units.

Guest progress stays on this device. Signed-in practice is also saved to your account.

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Learning supports built into the pathway

Money and time

Short real-life contexts for totals, change, wages, durations and timetable reading.

Measure and scale

Unit reminders, labelled diagrams and step-by-step area, volume and scale methods.

Data handling

Tables, bar charts, pictograms, simple line graphs and clear statements from data.

Problem solving

Worked examples show how to pick an operation, keep units and write a sensible answer.

Revision and printable resources

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

Numeracy

Use number, money, time and measurement skills, then interpret data and probability to make simple real-life decisions.

Numeracy Outcomes 1 and 2

Open

Unit: Numeracy

Number Skills

Whole numbers, decimals, four operations, rounding, estimation and sensible checks in familiar contexts.

Focus: Read, calculate, round and check everyday numbers up to 10,000.

Assessment standards: 1.1, 1.2, 1.4, 1.5

Ready to begin

Unit: Numeracy

Fractions

Simple fractions of shapes and quantities, practical sharing, and common equivalent forms.

Focus: Use halves, quarters, fifths and tenths in practical problems.

Assessment standards: 1.2, 1.4, 1.5

Ready to begin

Unit: Numeracy

Percentages

Simple whole-number percentages, common equivalents and practical money contexts.

Focus: Use 10%, 20%, 25% and 50%, then check the answer makes sense.

Assessment standards: 1.2, 1.4, 1.5

Ready to begin

Unit: Numeracy

Probability

Chance language, the probability scale and simple decisions based on likelihood.

Focus: Use impossible, unlikely, even chance, likely and certain.

Assessment standards: 2.3

Ready to begin

Manage Money and Data

Manage income, spending, budgets, saving and best deals, then organise, represent and interpret real-life data.

Manage Money and Data Outcomes 1 and 2

Open

Unit: Manage Money and Data

Money

Income and expenditure, simple budgets, savings plans, totals, change and best deals.

Focus: Plan spending and saving, compare deals, and make practical money choices.

Assessment standards: 1.1, 1.2, 1.3, 1.4

Ready to begin

Unit: Manage Money and Data

Tables and Graphs

Organise, compare, represent and interpret data using tables, tallies, pictograms, bar charts and line graphs.

Focus: Choose a clear display, read values, compare data and draw a simple conclusion.

Assessment standards: 2.1, 2.2, 2.3, 2.4

Ready to begin

Shape, Space and Measures

Use area, perimeter, cuboid volume, directions, shape patterns, units, formulae, scale and 24-hour time in real-life contexts.

Shape, Space and Measures Outcomes 1 and 2

Open

Unit: Shape, Space and Measures

Measurement and Scales

Read rulers, weighing scales, measuring jugs and thermometers; choose units and use simple scale drawings.

Focus: Read marked scales for length, weight, capacity and temperature.

Assessment standards: 2.1, 2.3, 2.4

Ready to begin

Unit: Shape, Space and Measures

Time

24-hour time, practical schedules, timetables and time intervals used to manage activities.

Focus: Read 24-hour times and work out clear start, finish and duration questions.

Assessment standards: 2.5

Ready to begin

Unit: Shape, Space and Measures

Area and Perimeter

Calculate and use the perimeter and area of rectangles and squares in practical contexts.

Focus: Use rectangle and square formulae with the correct length or square units.

Assessment standards: 1.1, 2.2

Ready to begin

Unit: Shape, Space and Measures

Volume

Calculate and use the volume of cubes and cuboids in basic real-life contexts.

Focus: Use length × width × height and write cubic units.

Assessment standards: 1.2, 2.2

Ready to begin

Unit: Shape, Space and Measures

Directions and Routes

Give and follow clear directions on simple room, building and street plans.

Focus: Use left, right, forward and simple compass directions to follow a route.

Assessment standards: 1.3

Ready to begin

Unit: Shape, Space and Measures

Shape Patterns

Recognise, repeat, continue and describe simple patterns involving shapes.

Focus: Find the repeating part and choose or create what comes next.

Assessment standards: 1.4

Ready to begin

Preparing for National 4

Optional progression practice. These useful skills are not National 3 assessment standards and do not replace core qualification work.

Open

Preparing for National 4

Ratio

Optional ratio sharing and proportional scaling for progression towards National 4.

Focus: Try this after the three National 3 units feel secure.

Ready to begin

Preparing for National 4

Speed, Distance and Time

Optional compound-measure practice for progression towards National 4.

Focus: Use this as a next step, not as National 3 core assessment practice.

Ready to begin