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 mixed check

Six short questions for retrieval practice across the full course.

Full mixed revision

A fuller 12-question set with a balanced topic spread and written-method expectations.

Exam-style challenge

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: Six short questions for 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 mixed check

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

6 questions
  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. Data and StatisticsMethod check: Compare the change between each pair of consecutive times.

    2. Use the temperature line graph. Find the largest increase between two consecutive times and describe the trend.

    Temperature over a day

    Read from left to right, then compare the values.

  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: Floor coverage is area, so multiply length by width.

    4. A rectangular room is 14 m by 5 m. What floor area must be covered?

    Room floor plan

    Use the labels and units shown in the diagram.

  5. ProbabilityMethod check: Find the sections that are not the event, then put that over the total.

    5. A spinner has 10 equal sections. 2 are yellow. What is the probability of not landing on yellow?

    Spinner sections

    Yellow2
    Not yellow8
    Total sections10
  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.

45 challenge bank
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

Data and Statistics

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?