Mathematics
UK Maths Challenge at Sgoil Lionacleit
To encourage pupils to aim high and to work hard to achieve this, to develop pupils’ confidence in using Mathematics, to teach pupils how to calculate; mentally, using paper and pencil and using calculators and computers, to allow pupils to investigate, to make generalisations and to solve problems and to emphasise the practical nature of Mathematics and to help pupils understand the importance of Mathematics in modern life.
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Mathematics Courses
National 3 Mathematics
There are three units:
- Manage Money and Data
- Shape, Space and Measures
- Numeracy
Each unit is internally assessed on a pass/fail basis.
National 4 Mathematics
There are three units:
- Expressions and Formulae
- Relationships
- Numeracy
Units are internally assessed. Overall pass/fail is awarded when the Added Value Test is completed.
National 5 Mathematics
There are three units:
- Expressions and Formulae
- Relationships
- Applications
Each unit is internally assessed on a pass/fail basis.
National 5 Assessment
This course assessment has two components:
- Paper 1 – Non-calculator: 50 marks, 1 hour 15 minutes.
- Paper 2: 60 marks, 1 hour 50 minutes.
National 4 Lifeskills Mathematics
There are three units:
- Managing Finance and Statistics
- Geometry and Measures
- Numeracy
Units are internally assessed. Overall pass/fail is awarded when the Added Value Test is completed.
More about Lifeskills MathematicsProgression Paths
- Linear progression: A quality pass at National 5 can lead to studying Higher Mathematics. A quality pass at Higher can lead to studying Advanced Higher Mathematics.
- Skills progression: Learning mathematics develops logical reasoning, analysis, problem-solving skills, creativity and the ability to think in abstract ways. Mathematics uses a universal language of numbers and symbols, allowing ideas to be communicated in a concise, unambiguous and rigorous way across the curriculum.
Higher Mathematics
There are three units:
Unit 1: Expressions and Functions
Logarithmic and exponential functions, trigonometric expressions and vectors.
Unit 2: Relationships and Calculus
Algebraic and trigonometric equations and calculus.
Unit 3: Applications
Straight lines, circles, sequences and calculus in context. Entry to this course requires National 5 skills, knowledge and understanding.
External Assessment
There are two papers:
- Paper 1 – Non-calculator: 70 minutes, 60 marks.
- Paper 2 – Calculator: 90 minutes, 70 marks.
To gain an award, candidates must pass both the internal unit tests and the external assessment.
Advanced Higher
Mathematics, Mathematics of Mechanics and Statistics
- All units are internally assessed.
- At the end of each unit you will sit a unit test and receive a pass/fail result.
- The final exam lasts 3 hours, is worth 100 marks and is graded A–D.
- A calculator may be used for all unit assessments and the final assessment.
- To gain Advanced Higher you must pass all three units and the final exam. Advanced Higher Statistics also requires a statistical investigation.
Advanced Higher Mathematics
Methods in Algebra and Calculus
Use mathematical operational skills linked to methods in algebra and calculus.
Applications of Algebra and Calculus
Use mathematical operational and reasoning skills linked to applications of algebra and calculus.
Geometry, Proof and Systems of Equations
Use mathematical operational skills linked to geometry, proof and systems of equations.
Advanced Higher Mathematics of Mechanics
Linear and Parabolic Motion
Use mathematical operational and reasoning skills linked to linear and parabolic motion.
Force, Energy and Periodic Motion
Use mathematical operational and reasoning skills linked to force, energy and periodic motion.
Mathematical Techniques for Mechanics
Use mathematical operational and reasoning skills linked to mechanics.
Advanced Higher Statistics
Data Analysis and Modelling
Use mathematical operational and reasoning skills linked to data analysis and modelling.
Statistical Inference
Use mathematical operational and reasoning skills linked to statistical inference.
Hypothesis Testing
Use mathematical operational and reasoning skills linked to hypothesis testing.
National 5 Revision and Homework
These documents contain practice questions for the three units: Expressions and Formulae, Applications and Relationships.
National 5 Past Papers
Question papers and corresponding marking instructions.
National 5 Mathematics – Medium of Gaelic
SQA National 5 Mathematics past papers in Gaelic.
National 5 Practice Papers and Answers
These mathematics resources are courtesy of maths180.com .
More National 5 Maths Resources
Extra worksheets and practice papers are available from National 5 Maths .