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National 5 Mathematics
National 5 Maths
​What is National 5 Maths? 
​
National 5 Maths is a key qualification in Scotland, taken from S3-S6. It builds on learning from S1 & S2 and prepares pupils for further study, particularly Higher Maths and courses in science, engineering, and other numerate subjects. The course is graded based solely on the final exam from A - D.  Those students wishing to pursue Higher Mathematics will require an A or a B at National 5 Mathematics.

​All S3 candidates working towards National 5 Mathematics in S4 are following the 2 YEAR COURSE, with everyone else (i.e. S5/6) following the 1 YEAR COURSE.  
Both courses cover all of the content but vary in order and timings.

The course focuses on developing confidence, problem-solving skills, and the ability to apply mathematics in both straightforward and unfamiliar situations.
​
The course is split into three main areas:
  •  Expressions and Formulae
    Developing skills in algebra, including simplifying expressions, solving equations, and working with formulae.
  •  Relationships
    Understanding how quantities are connected, including graphs, straight lines, trigonometry, and basic calculus concepts like gradient.
  • Applications
    Using maths in real-life situations, including percentages, finance, and statistics.

Throughout the course, pupils will develop the ability to:​
·Understand and apply mathematical skills in algebra, geometry, trigonometry, and statistics
· Simplify problems and solve them step by step
· Select and use appropriate mathematical methods in real-life contexts
· Make connections and use maths to form predictions
· Use correct mathematical language to explain ideas clearly
· Build confidence and resilience when tackling challenging problems
· Develop analytical and evaluative thinking skills
· Interpret, communicate, and manage information in mathematical form
· Use logical reasoning to justify solutions
· Assess risk and make informed decisions
· Think creatively and work with abstract ideas
· Manipulate abstract concepts to solve problems and make generalisations

What topics are included?
· Algebra (expressions, equations, and formulae)
· Straight-line graphs and trigonometry
· Fractions, percentages, and financial maths
· Statistics (averages, charts, and data analysis)

The course is assessed by a SQA Exam.
There are 2 exam papers:
Paper 1: Non-Calculator, 1 hour, and worth 40 marks.
Paper 2: Calculator, 1 hour 30 minutes, and worth 50 marks.
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Homework Booklets
S3 N5 Homework Booklet
S4 N5 Homework Booklet
S5/6 N5 Homework Booklet 1
S5/6 N5 Homework Booklet 2

National 5 Mathematics Course Plan
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Course Resources
Please note that these resources are password-protected; pupils will receive the password from their Maths teacher in class.
​Block 1 Revision Booklet 
​Fractions, Surds, Indicies, Changing the Subject, Equations & Inequalities, & Expanding Brackets.

Block 2 Revision Booklet 
​Significant figures, Percentages, Functions, Factorising, Straight Line, & Simultaneous Equations.

​Block 3 Revision Booklet 
​Quadratics, Volume, Right Angled Triangle Trigonometry, & Pythagoras

Block 4 Revision Booklet
​Statistics, Trig Equations, Trig Graphs, Trig Identities, Non-Right-Angled Triangle Trigonometry, & Angles in Circles.

Block 5 Revision Booklet
​
Algebraic Fractions, Scientific Notation, Vectors & Similarity.

Past Papers & Formulae Sheet
N5 Maths Formulae Sheet
Past Papers
N5 Maths 2025 Past Paper
N5 Maths 2024 Past Paper
N5 Maths 2023 Past Paper
N5 Maths 2022 Past Paper
Marking Instructions
N5 Maths 2025 Past Paper Marking Instructions
N5 Maths 2024 Past Paper Marking Instructions
N5 Maths 2023 Past Paper Marking Instructions
N5 Maths 2022 Past Paper Marking Instructions

Resources Available:
Resources:
Free N5 Maths . com
Free N5 Maths . com has Past and Practice Papers from 2001 available, Past paper Worksheets by Topic, Study Guides, Theory Guides, Mind Maps, and notes for every N5 Maths topic.
Dynamic Maths
Dynamic Maths offers free worksheets and resources from National 5 to Advanced Higher level. It contains past paper questions and resources for self-study.
Zeta N5 Textbook
Zeta Algebra Textbook
The Zeta textbook is avaliable for use at home, your teacher will tell you the access code in class.
YouTube Videos:
Clelland Maths
App and YouTube account available. Clelland Maths has multiple videos explaining the content of National 5 Maths.
Mr Thomas
YouTube account available. Mr Thomas has multiple videos explaining the content of National 5 Maths.
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