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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 Higher Maths in 2021. 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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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 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 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 Calculus (Differentiation) | Answers |
Essential Skills 23 | Further Calculus (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 18 | Logarithmic Equations | Answers |
Essential Skills 31 | Natural Logarithms | Answers |
Essential Skills 32 | Logs: Connecting 2 Variables | Answers |
Higher Exam Questions | Exponentials & Logs | Answers |
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 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 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 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 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 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 | Answers | From N5 Maths Simultaneous Equations Page |
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 | Polynomials & Quadratics | Answers | Includes the Intersection of a Line & Curve |
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 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 10 | Section Formula | Answers |
Essential Skills 21 | Scalar Product | Answers |
Essential Skills 30 | Angle between Vectors | Answers |
Higher Exam Questions | Vectors | Answers |
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 of success, speak with your parents, and subscribe to the exam focused Higher Maths 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 2021.
Covers the whole of the Higher Maths course
Created by an experienced maths teacher
Resources used with students in Scottish Secondary Schools