SQA Higher May Exam 2023
Question paper 1 55 marks 1 hour and 15 minutes
Question paper 2 65 marks. 1 hour and 30 minutes
Please note: Vectors and Recurrence Relations will not be assessed this year.
Please see below links to videos for revision of each chapter
Straight Line
Straight Line 1 – Gradient Revision
Straight Line 2 – Distance Between Points
Straight Line 4 – Gradient from Angle
Straight Line 5 – Collinearity
Straight Line 6 – Perpendicular Gradients
Straight Line 7 – Equation of a Line
Straight Line 8 – Perpendicular Bisectors
Straight Line 11 – Points of Intersection
Vectors
Vectors 7 – Scalar Product from Components
Vectors 8 – Angle Between Vectors
Vectors 9 – Perpendicular Vectors
Vectors 10 – Properties of Scalar Products
Trigonometry
Trigonometry 3 – Trig Equations 1
Trigonometry 4 – Addition Formulae
Trigonometry 5 – Double Angle Formulae
Polynomials
Polynomials 2 – Dividing Polynomials
Polynomials 3 – Factorising Polynomials
Polynomials 4 – Finding Unknown Coefficients
Polynomials 5 – Solving Equations
Polynomials 6 – Finding Functions From Graphs
Quadratics
Quadratics 1 – Completing the Square
Quadratics 3 – The Discriminant
Quadratics 4 – Using the Discriminant
Quadratics 5 – Intersecting Parabolas and Lines
Functions
Functions and Graphs 1 – Domains and Ranges
Functions and Graphs 2 – Composite Functions
Functions and Graphs 3 – Inverse Functions
Functions and Graphs 4 – Exponentials and Logarithms
Functions and Graphs 5 – Transformation of Graphs
Differentiation
Differentiation 1 – Introduction
Differentiation 2 – Fractions and Roots
Differentiation 3 – More Complex Differentiation
Differentiation 4 – Applications of Derivatives
Differentiation 5 – Liebniz Notation
Differentiation 6 – Equation of Tangents
Differentiation 7 – Increasing and Decreasing Functions
Differentiation 8 – Stationary Points
Differentiation 9 – Curve Sketching
Differentiation 10 – Closed Intervals
Differentiation 11 – Derived Graphs
Differentiation 12 – sinx and cosx
Differentiation 13 – Optimisation
Circles 1 – Equations of Circles
Circles 3 – Equations of Tangents
Circles 4 – Lines Intersecting Circles
Circles 5 – Intersecting Circles
Integration
Integration 2 – Further Examples
Integration 3 – Differential Equations
Integration 4 – Definite Integrals
Integration 5 – Area Under a Curve
Integration 6 – Area Between Curves
Wave Function
Wave Function 1 – Introduction
Wave Function 3 – Multiple Angles
Wave Function 4 – Maximum and Minimum Values
Wave Function 5 – Sketching Graphs
Wave Function 6 – Solving Equations
Further Calculus 1 – sin and cos
Further Calculus 2 – Chain Rule
Further Calculus 3 – Integrating by Inversing Chain Rule
Recurrence Relations
Recurrence Relations 1 – Introduction
Recurrence Relations 2 – Limit of a Sequence
Recurrence Relations 3 – Finding RR from a Sequence
Logarithms and Exponentials
Logs and Exponentials 1 – Introduction
Logs and Exponentials 2 – Laws of Logarithms
Logs and Exponentials 3 – The Exponential Function