Free Videos & Worksheets

Welcome to highermathematics.co.uk

Passing the fast paced Higher Maths course significantly increases your career opportunities by helping you gain a place on a college/university course, apprenticeship or even landing a job. A ‘good’ pass at Higher Maths will set you up well for the AH Maths Course next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the Higher Maths course you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

To access a wealth of additional free resources by topic please either use the above Search Bar or click HERE selecting on the topic you wish to study.

We hope you find this website useful and wish you the very best of success with your Higher Maths course in 2021/22. Please find below:

1. Circles – Videos, Theory, Mind Maps & Worksheets

2. Differentiation – Videos, Theory, Mind Maps & Worksheets

3. Exponentials & Logs – Videos, Theory, Mind Maps & Worksheets

4. Functions & Graphs – Videos, Theory, Mind Maps & Worksheets

5. Integration – Videos, Theory, Mind Maps & Worksheets

6. Polynomials & Quad’s – Videos, Theory, Mind Maps & Worksheets

7. Sequences – Videos, Theory, Mind Maps & Worksheets

8. Straight Lines – Videos, Theory, Mind Maps & Worksheets

9. Trigonometry – Videos, Theory, Mind Maps & Worksheets

10. Vectors – Videos, Theory, Mind Maps & Worksheets

11. Online Study Pack – Students looking for a ‘good’ pass

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Higher Maths Resources

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1. Circles – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos __________________________	maths180.com Video ___________________	HSN Theory Guide _________________	Mind Maps _____________
Equations of Circles	Circles	Circle Theory (HSN)	Circle (HSN)
Equations of Tangents			Circle 1
General Equation of a Cicle			Circle 2
Intersection of Circles
Lines Intersecting Circles

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Circles – Worksheets 

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic __________________________	Answers ________
Essential Skills Exam Practice 12	Circles	Answers
Essential Skills 8	Tangent to a Circle	Answers
Essential Skills 9	Intersection of Lines & Circles	Answers
Higher Exam Questions	Circles	Answers

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2. Differentiation – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos __________________________________	maths180.com Videos ______________________________________	HSN Theory Guides ____________________________	Mind Maps ____________________________
Applications of Derivatives	Chain Rule - Increasing/Decreasing	Differentiation Theory (HSN)	Differentiation (HSN)
Chain Rule	Optimisation - More Challenging Examples	Further Calculus Theory (HSN)	Differentiation (Preparing For)
Closed Intervals	Rate of Change & Tangent to a Curve		Differentiation 1
Complex Differentiation	Trig Functions & Chain Rule		Differentiation 2
Curve Sketching			Differentiation (Further)
Derived Graphs
Equations of Tangents
Fractions & Roots
Increasing & Decreasing Functions
Introduction to Differentiation
Leibniz Notation
Optimisation
Stationary Points
Sin x & Cos x

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Differentiation – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic _____________________________	Answers ________
Essential Skills Exam Practice 3	Differentiation	Answers
Essential Skills Exam Practice 9	Further Calculus	Answers
Essential Skills 4	Equation of a Tangent to a Curve	Answers
Essential Skills 5	Stationary Points	Answers
Essential Skills 17	Graphs of Derived Functions	Answers
Essential Skills 22	Further Differentiation	Answers
Essential Skills 23	Further Integration	Answers
Higher Exam Questions	Derived Graphs	Answers
Higher Exam Questions	Differentiation - 1	Answers
Higher Exam Questions	Differentiation - 2	Answers
Higher Exam Questions	Differentiation (Optimisation)	Answers
Higher Exam Questions	Further Calculus	Answers

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3. Exponentials & Logs – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos _____________________________	maths180.com Video __________________	HSN Theory Guide _____________________	Mind Maps ________________________
Introduction - Logs & Exponentials	Logs & Exponentials	Logs & Exponentials (HSN)	Logs & Exponentials (HSN)
Exponential Function			Logs & Exponentials 1
Laws of Logs			Logs & Exponentials 2
Graph Transformations
Linearising Data

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Exponentials & Logs  – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic __________________________	Answers ________
Essential Skills Exam Practice 13	Logarithms	Answers
Essential Skills 18	Logarithmic Equations	Answers
Essential Skills 31	Natural Logarithms	Answers
Essential Skills 32	Logs: Connecting 2 Variables	Answers
Higher Exam Questions	Exponentials & Logs	Answers

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4. Functions & Graphs – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos _______________________	maths180.com Videos _________________________	HSN Theory Guides ________________________________________	Mind Maps _______________________
Composite Functions	Composite & Inverse Functions	Exponentials & Logs Theory (HSN)	Functions & Graphs (HSN)
Domains & Ranges	Functions & Graphs	Functions & Graphs Theory (HSN)	Functions & Graphs
Exact Values		Graph Transformations - Movement & Reflection
Exponentials & Logs		Graphs Transformations Summary Sheet
Inverse Functions
Transformations of Graphs

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Functions & Graphs – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic __________________________	Answers ________
Essential Skills Exam Practice 6	Functions	Answers
Essential Skills 17	Graphs of Derived Functions	Answers
Essential Skills 20	Related Graphs	Answers
Essential Skills 27	Composite Functions	Answers
Essential Skills 28	Inverse Functions	Answers
Higher Exam Questions	Functions	Answers
Higher Exam Questions	Functions & Graphs	Answers
Higher Exam Questions	Graphs of Functions	Answers

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5. Integration – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos __________________________	maths180.com Videos ___________________________	HSN Theory Guides __________________________	Mind Maps ________________________
Integration - Introduction	Indefinite & Definite Integrals	Integration Theory (HSN)	Integration (HSN)
Area Under a Curve	Area Under and Between Curves	Further Calculus Theory (HSN)	Further Calculus (HSN)
Area Between Curves			Integration (Preparing For)
Differential Equations			Integration 1
Definite Integrals			Integration 2
Integrating Sin & Cos
Integrating With The Chain Rule
Integration - Further Examples

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Integration – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic __________________________	Answers ________
Essential Skills Exam Practice 8	Integration	Answers
Essential Skills Exam Practice 9	Further Calculus	Answers
Essential Skills 23	Further Integration	Answers
Essential Skills 25	Differential Equations	Answers
Essential Skills 26	Definite Integrals	Answers
Higher Exam Questions	Integration - 1	Answers
Higher Exam Questions	Integration - 2	Answers
Higher Exam Questions	Integration - Area under a Curve	Answers

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6. Polynomials & Quadratics – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos _____________________________	maths180.com Videos ___________________________	HSN Theory Guide ________________________________	Mind Maps _________________________
Introduction - Polynomials	Completing the Square	Polynomials & Quadratics Theory (HSN)	Polynomials & Quadratics (HSN)
Dividing Polynimials	Discriminant		Polynomials & Quadratics
Factorising Polynomials	Inequations		Polynomials
Factorising Functions from Graphs	Intersection of Parabolas & Lines		Quadratics
Finding Unknown Coefficients	Using the Discriminant
Solving Equations
Sketching Quadratics

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Polynomials & Quadratics  – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic __________________________________	Answers ________	Courtesy _______________________________________________
Essential Skills Exam Practice 2	Quadratic Theory	Answers
Essential Skills Exam Practice 4	Polynomials	Answers
Essential Skills 6	Quadratic Inequalities	Answers
Essential Skills 7	Completing the Square	Answers
Essential Skills 13	Quadratic Formula (N5 Maths)	Answers
Essential Skills 14	Synthetic Division	Answers
Essential Skills 33	Using the Discriminant	Answers
Higher Exam Questions	Polynomials	Answers
Higher Exam Questions	Quadratics	Answers
Higher Exam Questions	Polynomials & Quadratics	Answers
Worksheet 1	Completing the Square	Answers	Maths4Everyone.com kindly shared through TES website
Worksheet 2	Completing the Square - Advanced	Answers	Maths4Everyone.com kindly shared through TES website

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7. Sequences – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos __________________________________	maths180.com Videos ____________________	HSN Theory Guide __________________	Mind Maps ____________________
Introduction to Recurrence Relations	Sequences	Sequences	Sequences (HSN)
Limit of a Sequence			Recurrence Relations 1
Recurrence Relation from a Sequence			Recurrence Relations 2

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Sequences  – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets __________________________	Topic __________________________	Answers ________
Essential Skills Exam Practice 10	Recurrence Relations	Answers
Essential Skills 15	Limit of a Recurrence Relation	Answers
Essential Skills 24	Recurrence: Consecutive Terms	Answers
Higher Exam Questions	Recurrence Relations - 1	Answers
Higher Exam Questions	Recurrence Relations - 2	Answers

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8. Straight Lines – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos _____________________	maths180.com Video ___________________	HSN Theory Guide _______________________	Mind Maps __________________
Altitudes	Straight Lines	Straight Line Theory (HSN)	Straight Lines (HSN)
Collinearity			Straight Lines 1
Distance between Points			Straight Lines 2
Equation of a Line
Gradient Revision
Gradient from an Angle
Medians
Midpoints
Perpendicular Bisectors
Perpendicular Gradients
Points of Intersection

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Straight Lines  – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic _______________________________	Answers _____________________	Comment ___________________________________________
Essential Skills Exam Practice 1	Straight Line	Answers
Essential Skills 1	Median of a Triangle	Answers
Essential Skills 2	Perpendicular Bisectors	Answers
Essential Skills 3	Altitude of a Triangle	Answers
Essential Skills 4	Equation of a Tangent to a Curve	Answers
Essential Skills 9	Intersection of Lines & Circles	Answers
Essential Skills 19	Simultaneous Equations (N5 Maths)	Answers
Essential Skills 29	Angle between Line & x-axis	Answers
Higher Exam Questions	Straight Lines - 1	Answers
Higher Exam Questions	Straight Lines - 2	Answers
Higher Exam Questions	Straight Lines (Old Higher)	Answers Included
Higher Exam Questions	Polynomials & Quadratics	Answers	Includes the Intersection of a Line & Curve
Worksheets 1 & 2	Gradients of Perpendicular Lines 1, 2
Worksheet 3	Distance Formula

9. Trigonometry – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos _______________________________	maths180.com Videos ______________________	HSN Theory Guide _______________________	Mind Maps _________________________
Addition Formula	Solving Trig Equations	Trigonometry Theory (HSN)	Trigonometry (HSN)
Double Angle Formula	Trig Graphs		Wave Function (HSN)
Exact Values			Compound Angle Formula
Radian Measure			Trigonometry 1
Trig Equations 1			Trigonometry 2
Trig Equations 2
Trig Identities
Wave Function - Introduction
Wave Function - All Forms
Wave Function - Equations
Wave Functions - Graphs
Wave Function - Max & Min Values
Wave Function - Multiple Angles

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Trigonometry   – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets ___________________________	Topic _______________________________	Answers __________
Essential Skills Exam Practice 5	Trigonometry	Answers
Essential Skills Exam Practice 7	Wave Function	Answers
Essential Skills 11	Trig Formula	Answers
Essential Skills 12	Related Angles	Answers
Essential Skills 13	Trig Equations (Double Angle Formula)	Answers
Essential Skills 16	The Wave Function	Answers
Essential Skills 19	Proving Trig Identities	Answers
Essential Skills 25	Sine Rule (N5 Maths)	Answers
Essential Skills 26	Cosine Rule (N5 Maths)	Answers
Higher Exam Questions	Trig Formulae & Equations - 1	Answers
Higher Exam Questions	Trig Formulae & Equations - 2	Answers

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10. Vectors – Videos, Theory Guides & Mind Maps

Thanks to the authors for sharing the excellent resources below.

Larbert Maths Videos ______________________________	maths180.com Video ___________________	HSN Theory Guide _________________	Mind Maps _________________
3-D Collinearity	Vectors	Vectors Theory (HSN)	Vectors (HSN)
Angle Between Vectors			Vectors 1
Basis Vectors			Vectors 2
Dividing a Line in a Given Ratio			Vectors 3
Perpendicular Vectors
Position Vectors
Properties of Scalar Products
Scalar Products
Scalar Products from Components
Unit Vectors

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Vectors   – Worksheets

Thanks to Mr Graham Rennie and the SQA for sharing the excellent resources below. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the Online Study Pack.

Worksheets __________________________	Topic _______________________	Answers ________
Essential Skills Exam Practice 11	Vectors	Answers
Essential Skills 10	Section Formula	Answers
Essential Skills 21	Scalar Product	Answers
Essential Skills 30	Angle between Vectors	Answers
Higher Exam Questions	Vectors	Answers

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11. Higher Maths Online Study Pack 

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about Higher Maths to pass your final exam.

For students looking for a ‘good’ pass at Higher Maths you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. Subscribing could end up being one of your best ever investments.

Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.

We hope the resources on this website prove useful and wish you the very best of success with your Higher Maths course in 2022.