National 5 CfE Course Documents
Here are the latest versions of the National 5 Mathematics course documents :
SQA
N5 Maths Course Specification (September 2017, Version 2.1) |
National 5 Exam Paper Information
Here are the latest versions of the National 5 Mathematics exam documents :
SQA
N5 Maths Specimen QP 1 (August 2017) |
N5 Maths Specimen QP 2 (August 2017) |
N5 Maths Formulae List |
National 5 Lessons
M. Patel
Numerical Skills Lessons
Surds Lessons
Simplifying Surds 1 (Multiplication Rule) |
Simplifying Surds 2 (Multiplication and Division Rules) |
Simplifying Surds 3 (Multiplying Brackets) |
Rationalising the Denominator 1 (Simple Denominator) |
Rationalising the Denominator 2 (Complicated Denominator) |
Indices Lessons
Indices 1 (Multiplying and Dividing Rules) |
Indices 2 (Powers of Powers) |
Indices 3 (Fractional Powers) |
Indices 4 (Brackets with Indices) |
Significant Figures Lessons
Percentages Lessons
Fractions Lessons
Algebraic Skills Lessons
Expanding Brackets Lessons
Factorisation Lessons
Completing the Square Lessons
Algebraic Fractions Lessons
Straight Lines Lessons
Linear Equations and Linear Inequations Lessons
Simultaneous Equations Lessons
Transposition (aka Changing the Subject) Lessons
Quadratics Lessons
Geometric Skills Lessons
Gradients Lessons
Volumes Lessons
Pythagoras' Theorem Lessons
Circles Lessons
Angles in Polygons Lessons
Similarity Lessons
Vectors Lessons
Trigonometric Skills Lessons
Graphs of Trigonometric Functions Lessons
Solving Trigonometric Equations Lessons
Proving Trigonometric Identities Lessons
Advanced Trigonometry Lessons
Statistical Skills Lessons
Statistics Lessons
Expressions and Formulae Lessons
Surds Lessons
Simplifying Surds 1 (Multiplication Rule) |
Simplifying Surds 2 (Multiplication and Division Rules) |
Simplifying Surds 3 (Multiplying Brackets) |
Rationalising the Denominator 1 (Simple Denominator) |
Rationalising the Denominator 2 (Complicated Denominator) |
Indices Lessons
Indices 1 (Multiplying and Dividing Rules) |
Indices 2 (Powers of Powers) |
Indices 3 (Fractional Powers) |
Indices 4 (Brackets with Indices) |
Completing the Square Lessons
Completing the Square 1 (Even x Coefficient) |
Completing the Square 2 (Odd x Coefficient) |
Scientific Notation Lessons
Scientific Notation (Converting Both Ways) |
Scientific Notation with a Calculator |
Arc Length and Sector Area Lessons
Arc Length (Calculator) |
Arc Length (Non-Calculator) |
Sector Area (Calculator) |
Sector Area (Non-Calculator) |
Arc Length and Sector Area (Angle and Radius) |
Expanding Brackets Lessons
Expanding Brackets and Simplifying (Multipliers with Binomials) |
Expanding a Pair of Brackets (2 Linear Binomials) |
Expanding a Pair of Brackets (Linear Binomial with Quadratic Trinomial) |
Expanding Brackets (All Types) |
Factorisation Lessons
Common Factors (2 Terms, 2 Variables, Numerical Factor) |
Common Factors (2 Terms, 3 Variables Max.) |
Common Factors (All Types) |
Factorising a Difference of 2 Squares (No Common Factor, 1 Letter) |
Factorising a Difference of 2 Squares (No Common Factor, 2 Letters) |
Factorising a Difference of 2 Squares (Common Factor) |
Factorising a Difference of 2 Squares (All Types) |
Factorising Quadratic Trinomials (+++) - Traditional |
Factorising Quadratic Trinomials (+-+) - Traditional |
Factorising Quadratic Trinomials (+-- or ++-) - Traditional |
Factorising Quadratic Trinomials (All Types) |
Gradients of Straight Lines Lessons
Gradients (V and H - No Coordinates, Decimal Answers) |
Gradients of Straight Lines (Integer Coordinates) |
Algebraic Fractions Lessons
Equivalence and Basic Simplification of Algebraic Fractions |
Simplifying Algebraic Fractions by Factorisation |
x Algebraic Fractions |
÷ Algebraic Fractions |
+, − Algebraic Fractions (Easy Types) |
+, − Algebraic Fractions (Difficult Types) |
Significant Figures Lessons
Volumes Lessons
Cylinder Volume (Using A and h) - Non-Calculator |
Cylinder Volume (Using r and h) - Calculator |
Cylinder Volume (Using r and h) - Non-Calculator |
Sphere Volume - Calculator |
Sphere Volume - Non-Calculator |
Cone Volume - Calculator |
Cone Volume - Non-Calculator |
Pyramid Volume - Calculator |
Composite Volumes - Calculator |
Relationships Lessons
Straight Lines Lessons
Straight Line Equations (Given Coordinate and Gradient) |
Straight Line Equations (Given Coordinate and y-Intercept) |
Straight Line Equations (Given 2 Coordinates) |
Straight Line Equations ( y - b = m (x - a) ) |
Drawing a Straight Line Graph from its Equation |
Rearranging into the Form y = m x + c |
Intersections of a Line with the Coordinate Axes |
Functions Lessons
Introduction to Functions (Linear, Values - NC) |
Quadratic Functions (Values - NC) |
Functions (Surds, Powers and Missing Inputs - NC) |
Solving Equations and Inequations Lessons
Equations with Brackets, No Fractions |
Equations with Brackets and Fractions |
Inequations |
Simultaneous Equations Lessons
Simultaneous Equations 1 (No Multiplication Required) |
Simultaneous Equations 2 (Multiply One Equation) |
Simultaneous Equations 3 (Multiply Both Equations) |
Simultaneous Equations 4 (Real-Life) |
Simultaneous Equations 5 (Intersections of Straight Lines) |
Transposition of Formulae (aka Changing the Subject) Lessons
Transposition of Formulae 5 (All Types) |
Solving Quadratic Equations Lessons
Solving Quadratic Equations (by Factorisation) |
Solving Quadratic Equations (by Rearranging) |
Solving Quadratic Equations (by Quadratic Formula) |
Finding Where a Quadratic Crosses the x - axis |
Solving Quadratics in Context |
The Discriminant |
Symmetry Axis and Turning Points of Quadratic Functions Lessons
Symmetry Axis Equation and Max. and Min. TPs using Completing the Square |
Pythagoras' Theorem Lessons
Converse of Pythagoras' Theorem |
Angles, Circles and Symmetry Lessons
Angles in Polygons |
Finding Angles in Circles with Triangles and Tangents |
Using Pythagoras' Theorem and Trigonometry in a Circle |
Similarity Lessons
Similar Shapes and Similar Triangles |
Similar Areas and Volumes |
Similar Shapes (Finding k) |
Graphs of Trigonometric Functions Lessons
Definition of Trigonometric Functions, Basic Trigonometric Graphs, Amplitude and Period |
Equations of Trigonometric Graphs - Translations |
Solving Trigonometric Equations Lessons
Solving Trigonometric Equations 1 (No Rearranging - 0 to 360) |
Solving Trigonometric Equations 2 (No Rearranging - Mixed Domains) |
Solving Trigonometric Equations 3 (Rearranging - 0 to 360) |
Proving Trigonometric Identities Lessons
Proving Trigonometric Identities 1 (Easy Types) |
Proving Trigonometric Identities 2 (Difficult Types) |
Applications Lessons
Advanced Trigonometry Lessons
Cosine Rule (Length) |
Cosine Rule (Angle) |
Sine Rule (Length) |
Sine Rule (Angle) |
Mixed Sine and Cosine Rules |
Area of a Triangle (Trigonometry Style) |
Trigonometry with Bearings |
Fractions Lessons
Percentages Lessons
Appreciation and Depreciation (Single) |
Original Values (Reverse Percentages) |
Vectors Lessons
Vectors - Resultant, Equality, +,- and Scalar Multiplication |
Vectors - Magnitude |
Vectors - 3D Coordinates |
Statistics Lessons
Standard Deviation |
5 - Figure Summaries, Boxplots and Interquartile and Semi-Interquartile Ranges |
National 5 Notes
D. Turnbull
N5 Notes |
National 5 Questions
Auchinleck A
N5 Questions Booklet |
D. Turnbull (solutions by M. Patel)
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Larkhall A
N5 Q - Expressions and Formulae 1 |
N5 Q - Expressions and Formulae 2 |
N5 Q - Relationships 1 |
N5 Q - Relationships 2 |
N5 Q - Applications |
N5 Prelim Revision Q |
N5 Final Exam Revision Sheets 1-6 |
N5 Final Exam Revision Sheets 7-12 |
Pegasys
N5 Q - Expressions and Formulae |
N5 Q - Relationships |
N5 Q - Applications |
Perth A (answers by M. Patel)
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N5 Q - Relationships 7 |
N5 Q - Relationships 8 |
N5 Q - Relationships 9 |
N5 Q - Relationships 10 |
N5 Q - Relationships 11 |
N5 Q - Relationships 12 |
N5 Q - Relationships 13 |
N5 Q - Relationships 14 |
N5 Q - Relationships 15 |
N5 Q - Relationships 16 |
N5 Q - Relationships 17 |
N5 Q - Relationships 18 |
N5 Q - Relationships 19 |
N5 Q - Relationships 20 |
N5 Q - Applications 2 |
N5 Q - Applications 3 |
N5 Q - Applications 4 |
N5 Q - Applications 5 |
N5 Q - Applications 6 |
N5 Q - Applications 7 |
N5 Q - Applications 8 |
N5 Q - Applications 9 |
N5 Q - Applications 10 |
N5 Q - Applications 11 |
N5 Q - Applications 12 |
N5 Q - Applications 13 |
N5 Q - Applications 14 |
N5 Q - Applications 15 |
N5 Q - Applications 16 |
N5 Q - Applications 17 |
N5 Q - Applications 18 |
N5 Q - Applications 19 |
N5 Q - Applications 20 |
T. Barr (answers by M. Patel)
Expressions and Formulae Questions
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Expressions and Formulae Answers
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Relationships Questions
Applications Questions
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Relationships Answers
Applications Answers
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Ullapool HS
N5 Revision Booklet |
National 5 Practice Unit Assessments
Grange A
N5 Practice Assessment - Expressions and Formulae |
N5 Practice Assessment - Relationships |
N5 Practice Assessment - Applications |
M. Patel
Numeracy Practice Assessments
Expressions and Formulae Practice Assessments
Expressions and Formulae - Practice 1 |
Expressions and Formulae - Practice 2 |
Expressions and Formulae - Practice 3 |
Relationships Practice Assessments
Relationships - Practice 1 |
Relationships - Practice 2 |
Relationships - Practice 3 |
Applications Practice Assessments
Pegasys
National 5 Practice, Specimen, Model and Prelim Papers
Bell Baxter (solutions by M. Patel)
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Larkhall A
N5 Model Papers (A-F) |
N5 Model Papers (G-L) |
SQA
N5 Specimen Paper 1 |
N5 Specimen Paper 2 |
S. Welsh (solutions by M. Patel)
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