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2026 Statistics

Key Facts: National 5 Applications of Mathematics Exam

90 marks

Total marks across Paper 1 and Paper 2

Qualifications Scotland Course Spec

C844 75

SQA Course code

Qualifications Scotland

SCQF Level 5

Qualification level

Scottish Credit and Qualifications Framework

100

Free practice questions

OpenExamPrep

Scotland's National 5 Applications of Mathematics (C844 75) is an SCQF Level 5 qualification focused on real-world financial, statistical, and geometric problem-solving. Assessed via Paper 1 Non-Calculator (35 marks, 50 min) and Paper 2 Calculator (55 marks, 1h 40min) awarded by Qualifications Scotland (formerly SQA).

Sample National 5 Applications of Mathematics Practice Questions

Try these sample questions to test your National 5 Applications of Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Callum works 35 basic hours at £12.00 per hour and 5 hours of overtime at time-and-a-half (£18.00 per hour). What is Callum's total gross pay for the week?
A.£510.00
B.£480.00
C.£420.00
D.£570.00
Explanation: Basic pay = 35 hours * £12.00 = £420.00. Overtime pay = 5 hours * £18.00 = £90.00. Total gross pay = £420.00 + £90.00 = £510.00.
2Fiona invests £2,000 in a savings account offering 4% per annum simple interest. How much total interest will she earn after 3 years?
A.£240.00
B.£80.00
C.£2,240.00
D.£249.73
Explanation: Simple interest = Principal * Rate * Time = £2,000 * 0.04 * 3 = £240.00. Fiona earns £240.00 in interest over 3 years.
3A supermarket sells olive oil in two sizes: 500 ml for £2.40 and 750 ml for £3.30. Which option offers the best value per 100 ml and by how much is it cheaper?
A.750 ml bottle is cheaper by 4p per 100 ml
B.500 ml bottle is cheaper by 4p per 100 ml
C.750 ml bottle is cheaper by 2p per 100 ml
D.Both bottles cost the same per 100 ml
Explanation: 500 ml costs £2.40 / 5 = 48p per 100 ml. 750 ml costs £3.30 / 7.5 = 44p per 100 ml. The 750 ml bottle is cheaper by 48p - 44p = 4p per 100 ml.
4A metal rod has a target length specified as 150 mm ± 2 mm. What are the minimum and maximum acceptable lengths for the rod?
A.Minimum: 148 mm, Maximum: 152 mm
B.Minimum: 149 mm, Maximum: 151 mm
C.Minimum: 146 mm, Maximum: 154 mm
D.Minimum: 148 mm, Maximum: 150 mm
Explanation: Lower limit = 150 - 2 = 148 mm. Upper limit = 150 + 2 = 152 mm. The acceptable range is 148 mm to 152 mm.
5Five students score 6, 8, 9, 11, and 16 in a mental maths quiz. What is the mean score?
A.10
B.9
C.8
D.12
Explanation: Sum of scores = 6 + 8 + 9 + 11 + 16 = 50. Mean = 50 / 5 = 10.
6Find the median of the following set of test results: 3, 5, 7, 10, 12, 17.
A.8.5
B.7
C.10
D.9
Explanation: Since there are 6 numbers (an even count), the median is the average of the 3rd and 4th terms: (7 + 10) / 2 = 8.5.
7On a map with a scale of 1:20,000, the distance between two landmarks is 4 cm. What is the actual distance on the ground in kilometres?
A.0.8 km
B.8 km
C.800 km
D.0.08 km
Explanation: Ground distance = 4 cm * 20,000 = 80,000 cm. Convert to metres: 80,000 / 100 = 800 m. Convert to km: 800 / 1,000 = 0.8 km.
8A delivery driver travels 150 miles in 3 hours. What is the driver's average speed in miles per hour?
A.50 mph
B.450 mph
C.45 mph
D.60 mph
Explanation: Speed = Distance / Time = 150 miles / 3 hours = 50 mph.
9A bag contains 4 red marbles, 6 blue marbles, and 5 green marbles. One marble is picked at random. What is the probability of picking a blue marble?
A.2/5
B.6/10
C.4/15
D.1/3
Explanation: Total marbles = 4 + 6 + 5 = 15. Number of blue marbles = 6. P(blue) = 6 / 15 = 2/5.
10A wheelchair access ramp has a vertical rise of 1.5 metres and a horizontal run of 18 metres. Calculate the gradient of the ramp.
A.1/12
B.12
C.1/15
D.0.15
Explanation: Gradient = Vertical height / Horizontal distance = 1.5 / 18 = 1 / 12 (or ~0.0833).

About the National 5 Applications of Mathematics Exam

National 5 Applications of Mathematics (course code C844 75) is a Scottish SCQF Level 5 qualification awarded by Qualifications Scotland (formerly SQA). It focuses on applying mathematical skills to real-life contexts across three main units: Managing Finance and Statistics, Geometry and Measure, and Numeracy. Assessment consists of Paper 1 (Non-Calculator, 35 marks, 50 minutes) and Paper 2 (Calculator, 55 marks, 1 hour 40 minutes).

Assessment

Question count not published by the exam provider

Time Limit

Paper 1 (non-calculator) 50 minutes; Paper 2 1 hour 40 minutes

Passing Score

Graded A-D, with No Award below D. Notional grade boundaries are 50% of the total course assessment marks for a C, 70% for an A and 85% for an upper A; final boundaries are set each year at awarding meetings after marking.

Exam Fee

No candidate fee is published by Qualifications Scotland: entry fees are invoiced to the presenting centre, so school and college candidates in Scotland are not charged. Private candidates must arrange an approved presenting centre, which sets its own charge. (Qualifications Scotland (formerly SQA))

National 5 Applications of Mathematics Exam Content Outline

~45%

Managing Finance & Statistics

Income tax, National Insurance, pensions, compound interest, foreign exchange, budgeting, mean, standard deviation, interquartile range, scatter graphs, and probability

~35%

Geometry & Measure

Perimeter, area, volume, Pythagoras in context, gradient, scale drawings, navigation/bearings, container packing/loading, time management/Gantt charts, and tolerance

~20%

Numeracy

Fractions, percentages, ratio, direct/inverse proportion, metric conversions, and speed/distance/time

Paper 1

Non-Calculator Paper

35 marks, 50 minutes. Assesses core numerical, statistical, financial, and geometric skills without a calculator

Paper 2

Calculator Paper

55 marks, 1 hour 40 minutes. Scientific calculator permitted; focuses on complex multi-step real-life applications and data handling

How to Pass the National 5 Applications of Mathematics Exam

What You Need to Know

  • Passing score: Graded A-D, with No Award below D. Notional grade boundaries are 50% of the total course assessment marks for a C, 70% for an A and 85% for an upper A; final boundaries are set each year at awarding meetings after marking.
  • Assessment: Question count not published by the exam provider
  • Time limit: Paper 1 (non-calculator) 50 minutes; Paper 2 1 hour 40 minutes
  • Exam fee: No candidate fee is published by Qualifications Scotland: entry fees are invoiced to the presenting centre, so school and college candidates in Scotland are not charged. Private candidates must arrange an approved presenting centre, which sets its own charge.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

National 5 Applications of Mathematics Study Tips from Top Performers

1Master tax, National Insurance, and pension calculations step-by-step including personal allowance deductions
2Memorise how to calculate standard deviation using both the formula and table method, and practise writing comparative statements in context
3Pay strict attention to tolerance bounds and container loading dimensions in geometry questions
4Practise converting time between hours/minutes and decimal hours for speed-distance-time calculations
5Utilise past papers under timed conditions to practice switching between non-calculator and calculator tasks

Frequently Asked Questions

Who awards National 5 Applications of Mathematics?

National 5 Applications of Mathematics is awarded by Qualifications Scotland (formerly the Scottish Qualifications Authority, SQA). Content and standards remain fully aligned with SQA specifications.

How is National 5 Applications of Mathematics structured?

The exam consists of two papers totaling 90 marks: Paper 1 (Non-Calculator, 35 marks, 50 minutes) and Paper 2 (Calculator allowed, 55 marks, 1 hour 40 minutes).

How does Applications of Mathematics differ from standard N5 Mathematics?

Applications of Mathematics focuses on real-life, functional mathematics such as finance (tax, interest, currency), practical statistics, container packing, scale drawings, and project timing (Gantt charts), whereas standard N5 Mathematics includes abstract algebra, trigonometry functions, vectors, and quadratic equations.

Are formulae provided in the N5 Applications of Mathematics exam?

Yes, a formula sheet is provided containing formulas for standard deviation, mean, volume of a cylinder/prism/cone/sphere/pyramid, and circumference/area of a circle.

What grade is required to pass N5 Applications of Mathematics?

Grades A, B, and C are pass grades. Typically, Grade C requires around 50% of the overall marks across both papers.