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National 3 Teacher Tools

Course-specific tools for National 3 Applications of Mathematics. Use this page to move quickly between topic lessons, pupil practice, quizzes, worksheets, answers, support prompts and concise CfE references.

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Planning, practice, assessment and evidence

Filter the course by section, skill and support level, then jump to the exact teacher or pupil resource needed for the lesson.

Worksheet and quiz tools

Topic cards link directly to printable worksheets, answer sheets, practice pages and quiz pages where those resources are available.

CfE / Es & Os alignment

Each card shows level, main codes, related skills, benchmark summaries and brief evidence notes for teacher planning.

Topic overview

9 matching topics across the National 3 teacher resource set.

Topic overview

Scannable planning cards with the main teacher references and direct routes for lesson delivery, practice, quizzes and print resources.

9 matching resources
Available nowFractions, Percentages and Ratio

Percentages

Finding simple percentages in shopping, discounts, surveys and everyday money contexts.

Skill area
Numeracy: percentages and proportion
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-07a
Support range
Easy to hard

Related skills

Finding percentages of amountsSimple discount calculationsInterpreting percentage answers

Benchmark summary: Learners develop reliable methods for simple fractions, decimals and percentages, then use answers in familiar contexts.

Evidence/use notes: Supports National 3 work on simple percentages, discounts, interpreting results and explaining choices in practical contexts.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowFractions, Percentages and Ratio

Fractions

Fractions in sharing, quantities, simple measure and practical contexts.

Skill area
Numeracy: fractions and parts of amounts
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-07a, MTH 4-07b
Support range
Easy to hard

Related skills

Equivalent fractions and simplifyingFractions of quantitiesSimple fraction operations in context

Benchmark summary: Learners use common fractions in context, building fluency with equivalent fractions and parts of amounts.

Evidence/use notes: Builds confidence with equivalent forms, simplifying, sharing amounts and fraction operations needed across Maths contexts.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowFractions, Percentages and Ratio

Ratio

Simple ratios, sharing in parts, and scaling recipes or classroom resources.

Skill area
Numeracy: ratio and scaling
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-08a
Support range
Easy to hard

Related skills

Simplifying ratiosSharing in a ratioScaling quantities proportionally

Benchmark summary: Learners solve simple proportion problems using small ratio parts and familiar contexts.

Evidence/use notes: Links to supported scaling, sharing and interpreting real-life proportional relationships such as recipes and mixes.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMoney, Time, Tables and Graphs

Money

Totals, change, simple budgets, wages, best value and short spending decisions.

Skill area
Finance: money in context
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-09a
Support range
Easy to hard

Related skills

Change and totalsBest value and unit costWages, bills and budgeting

Benchmark summary: Learners apply money skills to find totals, change, simple wages and supported budget balances.

Evidence/use notes: Connects National 3 practice to wages, change, bills, best value, budgeting and everyday financial decision-making.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMoney, Time, Tables and Graphs

Time

Reading time, journey durations, finish times and everyday timetables.

Skill area
Numeracy: time and scheduling
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-10a
Support range
Easy to hard

Related skills

24-hour timeDurations and finish timesSimple timetables

Benchmark summary: Learners use time information to solve practical duration and timetable problems with clear steps.

Evidence/use notes: Supports interpreting 24-hour time, calculating short elapsed times and reading simple timetables.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMeasure, Shape and Problem Solving

Measurement

Choosing units, simple conversions, perimeter, scale and classroom measurements.

Skill area
Measures: units and scale
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-10a, MNU 4-11a
Support range
Easy to hard

Related skills

Unit conversionsPerimeter and scale drawingsSensible units

Benchmark summary: Learners choose appropriate units, convert common measures and use measurement skills in practical contexts.

Evidence/use notes: Supports common unit conversion, perimeter, simple scale drawings and selecting sensible units.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMeasure, Shape and Problem Solving

Volume

Volume and capacity for cubes, cuboids, and containers.

Skill area
Geometry: volume and capacity
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-11a, MTH 4-11b
Support range
Easy to hard

Related skills

Cube and cuboid volumeCapacity and litresSimple container contexts

Benchmark summary: Learners calculate simple volume and capacity, selecting units and methods suited to the context.

Evidence/use notes: Connects cubes, cuboids, capacity and litres to National 3 tasks involving containers and space.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMeasure, Shape and Problem Solving

Speed, Distance and Time

Use speed, distance, and time in short practical journeys.

Skill area
Measures: compound measures
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-10a
Support range
Easy to hard

Related skills

Distance, speed and time formulae with supportUnit consistencyShort journeys and average speed

Benchmark summary: Learners combine distance, time and speed information to solve short real-life journey problems.

Evidence/use notes: Supports average speed, short journey planning, unit consistency and interpreting answers in transport contexts.

Open lessonPractice pageQuiz pageWorksheetAnswers
Available nowMoney, Time, Tables and Graphs

Probability

Chance words, simple outcomes, and probability fractions.

Skill area
Statistics: probability
CfE level
Early Fourth Level / National 3 pathway
Main Es & Os codes
MNU 4-22a
Support range
Easy to hard

Related skills

Probability fractionsLikelihood languageSimple outcomes

Benchmark summary: Learners use probability language and simple probability fractions to describe likelihood.

Evidence/use notes: Builds practical chance work through counters, dice, spinners and simple outcome reasoning.

Open lessonPractice pageQuiz pageWorksheetAnswers

Course sections

Fractions, Percentages and Ratio

Supported proportional thinking in shopping, recipes, sharing and everyday quantities.

3 teacher resources in these tools

Money, Time, Tables and Graphs

Everyday money, timetable, data and chance contexts for supported secondary numeracy.

3 teacher resources in these tools

Measure, Shape and Problem Solving

Practical measuring skills for units, perimeter, area, volume, journeys and choosing methods.

3 teacher resources in these tools

National 3 Applications of Mathematics Course Tracker

CfE / Es & Os alignment

Visual planning sheet for tracking taught content, practice, quizzes and evidence. It is not saved to a database.

TopicTaughtPractisedQuiz completedEvidence gatheredNotes
Percentages
Fractions
Ratio
Money
Time
Measurement
Volume
Speed, Distance and Time
Probability