National 5 Applications of Mathematics

Mixed National 5 Revision

Practise balanced National 5 Applications revision with quick checks, full mixed sets, original exam-style challenges and planning questions. Focus on choosing methods, using units, interpreting results and writing sensible conclusions.

Pupil Practice hubNational 5 overview

Mixed revision modes

Choose a revision set

These sets mix National 5 Applications topics deliberately. The exam-style mode adds original multi-step questions with worked solutions and watch-out prompts.

Quick practice

Fast retrieval practice across the full course.

Balanced revision

Full course practice with a balanced topic spread and written-method expectations.

Exam-style practice

Original multi-step questions with worked solutions, units and conclusion checks.

Planning and decision making

Mixed contexts where the answer needs a calculation and a justified decision.

Current mode: Fast retrieval practice across the full course.

Revision reminders: 2 hours 15 minutes is 2.25 hours for speed calculations, area uses m² or cm², and volume uses m³ or cm³.

Optional topic filter

Quick practice

Balanced topic sampling: finance, statistics, standard deviation, time/distance/speed, measurement/scale, probability and method-choice questions.

Adaptive practice set
  1. FinanceMethod check: Net pay is gross pay minus all deductions.

    1. A payslip shows gross pay of £400.00, tax of £32.00, and pension deduction of £22.00. What is the net pay?

  2. Statistics and DataMethod check: Sample divides by n − 1; population divides by N.

    2. A survey records heights for 50 pupils from a school of 641 pupils. Which standard deviation formula choice is appropriate?

  3. Time and TravelMethod check: Compare the journey times because the question asks for fastest.

    3. A train journey takes 52 minutes. A bus journey takes 64 minutes but costs less. If the fastest option is needed, which should be chosen?

  4. Measurement and ScaleMethod check: Find wall area, divide by coverage, then round up to whole litres.

    4. A wall is 6 m wide and 2.4 m high. Paint covers 10 m² per litre. How many whole litres should be bought for one coat?

    Paint coverage

    Use the labels and units shown in the diagram.

  5. ProbabilityMethod check: Change a decimal probability to a percentage by multiplying by 100.

    5. A weather app gives the chance of rain as 0.35. Write this as a percentage.

    Chance of rain

    0 impossible0.5 even chance1 certain

    P(rain) = 0.35

  6. Problem Solving and Decision MakingMethod check: Add all costs and compare with the budget.

    6. A trip budget is £74.00. Food costs £24.00, travel costs £10.00, and the activity costs £30.00. Is the trip within budget?

Original exam-style practice

Multi-step challenge questions

These are original National 5 Applications-style questions. They are not SQA copyrighted questions.

Exam-style challenge set
4 marks

1. Paint coverage 1

Measurement and Scale + Problem Solving and Decision Making

A wall is 6 m by 4 m. One litre of paint covers 10 m². How many whole litres of paint are needed?

Wall dimensions

Use the labels and units shown in the diagram.

4 marks

2. Journey speed 1

Time and Travel + Problem Solving and Decision Making

A delivery route is 90 km and takes 2 hours 0 minutes including stops. Find the average speed in km/h, rounded to 1 decimal place.

Route information

Distance (km)90
Time (minutes)120
4 marks

3. Compare consistency

Statistics and Data

Two classes have the same mean score of 66. Class A has standard deviation 4 and Class B has standard deviation 9. Which class is more consistent?