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National 5 Mathematics
Working with Numbers
Decimal Places (3:38)
Significant Figures (5:52)
Scientific Notation (6:19)
Rational & Irrational Numbers (5:43)
Adding and Subtracting Surds (7:59)
Multiplying and Dividing Surds (9:45)
Rationalising Fractions (8:23)
Rules of Indices (7:56)
How Surds and Indices Relate (11:00)
Quick Practice Questions
Full Practice Questions
Reference Notes
Algebraic Operations
Simplifying Algebraic Expressions (5:50)
Expanding Brackets (8:58)
Factorising Using a Common Factor (7:53)
Factorising as a Difference of Two Squares (8:53)
Factorising a Trinomial (11:30)
Completing the Square (7:27)
Simplifying Algebraic Fractions (10:52)
Multiplying and Dividing Algebraic Fractions (8:59)
Adding and Subtracting Algebraic Fractions (11:29)
Quick Practice Questions
Full Practice Questions
Reference Notes
Geometry & The Properties of Shapes
The Properties of Shapes (7:52)
Similar Figures (11:35)
Using Similar Figures to find Area and Volume (10:32)
Arc Length (11:30)
Sector Area (11:54)
Volume of Cuboids & Prisms (8:35)
Volume of Cones, Pyramids and Spheres (7:15)
Quick Practice Questions - Properties of Shapes
Quick Practice Questions - Arcs & Sectors
Quick Practice Questions - Volume
Quick Practice Questions - Similar Figures
Full Practice Questions
Reference Notes
Straight Line Graphs
Introduction to Straight-Line Graphs (5:14)
The Gradient of a Straight-Line Graph (14:55)
The Equation of a Straight Line (15:28)
Straight Lines not in Standard Form (9:45)
Horizontal and Vertical Lines (8:16)
X and Y Intercept of Straight Line Graphs (14:05)
Quick Practice Questions
Full Practice Questions
Reference Notes
Equations
Solving Linear Equations (13:29)
Solving Linear Equations with Brackets (10:09)
Solving Linear Equations with Fractions (11:44)
Solving Inequations (10:35)
Inequations – Multiplying or Dividing by a Negative (11:35)
Solving Simultaneous Equations by Eliminating a Variable (10:32)
Solving Simultaneous Equations by Eliminating a Variable – More Difficult (12:48)
Rearranging Formulas (13:35)
Quick Practice Questions - Equations & Inequations
Quick Practice Questions - Simultaneous Equations
Quick Practice Questions - Rearranging Formulas
Full Practice Questions
Reference Notes
Quadratic Equations and Graphs
Quadratic Expressions & Functions (6:10)
Quadratic Equations – Solving by Factorising (13:27)
Quadratic Equations – Solving by the Quadratic Formula (12:04)
Using the Discriminant to Determine the Number of Roots (10:28)
Graphs of Quadratic Functions (9:25)
The Roots of Quadratic Functions (11:22)
The Turning Point of the Graph of a Quadratic Function (11:34)
Finding the Y-Intercept of the Graph of a Quadratic Function (11:11)
The Axis of Symmetry of the Graph of a Quadratic Function (10:12)
Transforming the Graph of a Quadratic Function (15:08)
Quick Practice Questions - Quadratic Equations
Quick Practice Questions - Quadratics Graphs
Full Practice Questions
Reference Notes
Pythagoras' Theorem & Trigonometry
Pythagoras’ Theorem (9:32)
The Converse of Pythagoras’ Theorem (7:30)
Pythagoras’ Theorem in Circles (9:06)
Trigonometric Functions (10:30)
The Graph of the Sine Function (9:52)
The Graph of the Cosine Function (9:30)
The Graph of the Tangent Function (8:21)
Transforming Graphs of Trigonometric Functions (13:45)
The CAST Method (10:07)
Introduction to Trigonometric Equations (10:13)
Solving Trigonometric Equations Using a Calculator in Degrees (15:56)
Quick Practice Questions - Pythagoras Theorem
Quick Practice Questions - Trigonometry
Full Practice Questions
Reference Notes
Using Trigonometry
Introduction to The Sine and Cosine Rules (7:15)
Using the Sine Rule to Find Missing Angles (11:20)
Using the Sine Rule to Find Missing Sides (8:13)
Using the Cosine Rule for Missing Angles (9:41)
Using the Cosine Rule for Missing Sides (8:04)
Problems Involving Bearings (8:45)
Area of a Non-Right Triangle (6:59)
Quick Practice Questions
Full Practice Questions
Reference Notes
Vectors
Vector Introduction and Notation (6:28)
Component Form of a Vector (7:49)
Vectors in 3-Dimensions (4:43)
Magnitude of a Vector (7:23)
Resultant Vectors (8:11)
Quick Practice Questions
Full Practice Questions
Reference Notes
Comparing Distributions
Comparing Distributions (6:24)
Mean and Median (6:17)
Quartiles (7:09)
Interquartile and Semi-Interquartile Range (9:31)
Box Plots (8:45)
Standard Deviation (12:05)
Scatter Graphs and Lines of Best Fit (9:28)
Quick Practice Questions
Full Practice Questions
Reference Notes
Fractions & Percentages
Simple and Compound Measures (6:40)
Appreciation and Depreciation (9:26)
Multiplying and Dividing Fractions (8:36)
Adding and Subtracting Fractions (7:43)
Fractions of a Number (5:59)
Quick Practice Questions
Full Practice Questions
Reference Notes
Additional Resources
Exam Prep Materials
Extended Formula List
Trigonometric Function Graphs
Key Skills Practice
Practice Paper A - Non-Calculator
Practice Paper B - Calculator
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Using the Cosine Rule for Missing Angles
Students will use the Cosine rule to find missing angles in non-right-angled triangles.
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