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Cults Academy
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The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
Cults Academy
Home
The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
More
Home
The Straight Line
Gradient Formula
Distance Formula (lines)
Collinearity
Perpendicular Lines
Equation of a Line
Perpendicular Bisectors
Medians of a Triangle
Altitudes of a Triangle
Mixed Questions
Past Paper Worked Examples
Circle
Distance Formula
Circle Centre Origin
Circle Centre (a, b)
Another Circle Equation
Intersection of Line and Circle
Tangents to a Circle
Equation of Tangent to Circle
Past Paper Worked Examples
Functions
Sets and Functions
Domain and Range
Composite Functions
Inverse Functions
Graphs of Functions
Vectors
Vectors and Scalars
Components of a Vector
Magnitude of a Vector
Addition of Vectors
Subtraction of Vectors
Multiplying a Vector by a Scalar
Unit Vectors
3D Coordinates
More Unit Vectors
Position Vectors
Collinearity
Section Formula
Scalar Product
Angle Between Vectors
Properties of the Scalar Product
Exponentials and Logs
Exponential Functions
Linking Exponentials and Logs
Rules of Logs
Solving Log Equations
Real Life Problems
Exponential Inequations
Power Graphs
Exponential Graphs
Related Graphs
Quadratic Theory
Sketching a Parabola
Completing the Square
Quadratic Inequations
Discriminant
Polynomials
Value of a Polynomial
Division of Polynomials
Factorising
Finding Missing Values
Solving Equations
Equation from Graphs
Calculus (Differentiation)
Rule for Differentiation
More difficult Derivatives
Tangents to Curves
Increasing and Decreasing Functions
Stationary Points
Curve Sketching
Closed Intervals
Sketching the Derivative
Optimisation
Calculus (Integration)
Anti-Differentiation
More Difficult Integration
Area Under a Curve
Definite Integrals
Areas Above and Below x-axis
Area Between Curves
Solving Differential Equations
Trig Graphs and Equations
Trig Graphs Revision
Radian Measure
Solving Trig Equations
Solving More Trig Equations
Addition Formulae
sin(A + B)
sin(A - B)
cos(A + B) and cos(A - B)
Trig Identities
sin2A and cos2A
Trig Equations
Wave Function
Rcos(x - a)
Other Forms of Wave Equation
Max and Min Values
Solving Equations
Recurrence Relations
Introducing Recurrence Relations
Other Recurrence Relation Questions
Limit of a Recurrence Relation
Algebraic Examples
Finding the Sum of n terms
Real Life Problems
Further Calculus
Differentiating sin and cos
Chain Rule
Special Rule for Integration
Integrating sin and cos
End of Year
You can access video lessons on any of the topics using the menus at the top of the page.
Revision of all topics (with answers)
200 Questions.pdf
Online Revision Resources
Free Higher Maths - Whole Course - Higher Mathematics
Past Paper Question Search
2022 SQA Past Paper (with optional sections)
NH_Mathematics_Paper1-Non-calculator_2022.pdf
mi_NH_Mathematics_Paper-1-Non-calculator_2022.pdf
NH_Mathematics_Paper2_2022.pdf
mi_NH_Mathematics_Paper-2_2022.pdf
2021 SQA Past Paper (with optional sections)
2021 Higher Maths.pdf
2021 Higher Maths marking instructions.pdf
2019 SQA Past PaperÂ
NH_Mathematics_all_2019.pdf
mi_NH_Mathematics_all_2019.pdf
2018 SQA Past Paper
NH_Mathematics_all_2018.pdf
mi_NH_Mathematics_all_2018.pdf
2017 SQA Past Paper
NH_Mathematics_all_2017.pdf
mi_NH_Mathematics_all_2017.pdf
2016 SQA Past Paper
NH_Mathematics_all_2016.pdf
mi_NH_Mathematics_all_2016.pdf
2015 SQA Past Paper
NH_Mathematics_all_2015.pdf
mi_NH_Mathematics_all_2015.pdf
2014 SQA Past Paper
2014-Past-Papers-1-And-2.pdf
mi_H_Mathematics_all_2014.pdf
2013 SQA Past Paper
H_Mathematics_all_20131.pdf
mi_H_Mathematics_all_2013.pdf
201
2
SQA Past Paper
H_Mathematics_All_2012.pdf
mi_H_Mathematics_all_2012.pdf
201
1
SQA Past Paper
X100-301_H_Mathematics_Paper-1-2011.pdf
mi_H_Mathematics_all_2011.pdf
X100-302_H_Mathematics_Paper-2_2011.pdf
201
0
SQA Past Paper
H_Mathematics_2010.pdf
mi_H_Mathematics_all_2010.pdf
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