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.

Leckie N5 and Higher Maths Youtube videos can be found HERE.

We hope you find this website useful and wish you the very best of success with your Higher Maths course in 2025. 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

.

Higher Maths Resources

.

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 CirclesCirclesCircle Theory (HSN)Circle (HSN)
Equations of TangentsCircle 1
General Equation of a CicleCircle 2
Intersection of Circles
Lines Intersecting Circles

.

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.

Notes
__________________
Higher Worksheets
__________________________
Worksheets
______________________________
Without Answers
________________
Notes/Comments
_____________________
Courtesy
______________________
HSN Circles Theory GuideHSN Circle Theory GuideRecommendedCourtesy of HSN
Text Book SolutionsHeinemann - CirclesEx 12B, 12D, 12F, 12H, 12J, 12K, 12LAnswers on Links
Essential Skills Exam Practice 12CirclesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 8Tangent to a CircleWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 9Intersection of Lines & CirclesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 1CirclesWithout Answers
2023 Included!Exam Worksheet 1Circles 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Circles 2 (2000 - 2013)Without AnswersCourtesy of the SQA
Exam Worksheet 3Circles 3 (2016 - 2019)Without AnswersCourtesy of the SQA
61 SQA QuestionsExam Worksheet 3Circles 4 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 4Circles 5 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Check List 2Circles

.

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 DerivativesChain Rule - Increasing/DecreasingDifferentiation Theory (HSN)Differentiation (HSN)
Chain RuleOptimisation - More Challenging ExamplesFurther Calculus Theory (HSN)Differentiation (Preparing For)
Closed IntervalsRate of Change & Tangent to a CurveDifferentiation 1
Complex DifferentiationTrig Functions & Chain RuleDifferentiation 2
Curve SketchingDifferentiation (Further)
Derived Graphs
Equations of Tangents
Fractions & Roots
Increasing & Decreasing Functions
Introduction to Differentiation
Leibniz Notation
Optimisation
Stationary Points
Sin x & Cos x

.

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.

Notes
_________________
Higher Worksheets
__________________________
Worksheets
__________________________________
Without Answers
________________
Notes/Comments
_________________________
Courtesy
______________________
Differentiation Theory (HSN)Differentiation Theory (HSN)RecommendedCourtesy of HSN
Further Calculus Theory (HSN)Further Calculus Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - DifferentiationEx 6C, 6D, 6E, 6F, 6G, 6H, 6I, 6J, 6L, 6M
, 6N
, 6O, 6P, 6Q, 6R, 6S
Answers on Links
Text Book SolutionsHeinemann - Further CalculusEx 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14KAnswers on Links
Essential Skills Exam Practice 3DifferentiationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills Exam Practice 9Further CalculusWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 4Equation of a Tangent to a CurveWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 5Stationary PointsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 17Graphs of Derived FunctionsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 22Further DifferentiationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 23Further IntegrationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 4Stationary PointsWithout Answers
Grade Booster Paper 6Tangents to CurvesWithout Answers
Grade Booster Paper 14OptimisationWithout Answers
2023 Included!Exam Worksheet 1Differentiation 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Differentiation 2 (2014 - 2019)Without AnswersCourtesy of the SQA
Exam Worksheet 3Differentiation 3 (2000 - 2019)Without AnswersCourtesy of the SQA
Exam Worksheet 4Differentiation 4 (Optimisation)Without AnswersCourtesy of the SQA
123 SQA QuestionsExam Worksheet 5Differentiation 5 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 6Differentiation 6 (Old Higher)Without AnswersCourtesy of the SQA
Exam Worksheet 7Differentiation 7 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
2023 Included!Exam Worksheet 8Further Calculus 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 9Further Calculus 2Without AnswersCourtesy of the SQA
Exam Worksheet 10Further Calculus 3 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Worksheet 1Differentiation Introduction - 1
Worksheet 2Differentiation Introduction - 2Without AnswersAnswers Only
Worksheet 3Differentiation MatchingWithout AnswersAnswers Only
Exam Check List 3Differentiation
Exam Check List 5Further Calculus

.

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 & ExponentialsLogs & ExponentialsLogs & Exponentials (HSN)Logs & Exponentials (HSN)
Exponential FunctionLogs & Exponentials 1
Laws of LogsLogs & Exponentials 2
Graph Transformations
Linearising Data

.

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.

Notes
________________
Higher Worksheets
____________________________
Worksheets
______________________________________
Without Answers
________________
Notes/Comments
_____________________
Courtesy
______________________
Exponentials & Logs Theory (HSN)Exponentials & Logs Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - Exponentials & LogsEx15C, 15D, 15E. 15F, 15G, 15H, 15I, 15J, 15K, 15LAnswers on Links
Essential Skills Exam Practice 13LogarithmsWithout Answers Answers OnlyCourtesy of Mr G Rennie
Essential Skills 18Logarithmic EquationsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 31Natural LogarithmsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 32Logs: Connecting 2 VariablesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 11Exponential Functions (Half-Life)Without Answers
Grade Booster Paper 13Log Equations & GraphsWithout Answers
2023 Included! Exam Worksheet 1Exponentials & Logs 1 (2000 - 2023)Without Answers RecommendedCourtesy of the SQA
Exam Worksheet 2Exponentials & Logs 2 (2010 - 2019)Without AnswersCourtesy of the SQA
67 SQA QuestionsExam Worksheet 3Exponentials & Logs 3 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 4Exponentials & Logs 4 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 5Exponentials & Logs 5 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Check List 6Exponentials & Logs

.

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 FunctionsComposite & Inverse FunctionsExponentials & Logs Theory (HSN)Functions & Graphs (HSN)
Domains & RangesFunctions & GraphsFunctions & Graphs Theory (HSN)Functions & Graphs
Exact ValuesGraph Transformations - Movement & Reflection
Exponentials & LogsGraphs Transformations Summary Sheet
Inverse Functions
Transformations of Graphs

.

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.

Notes
__________________
Higher Worksheets
______________________________
Worksheets
__________________________________________
Without Answers
________________
Notes/Comments
_________________________
Courtesy
__________________________________
Functions & Graphs Theory (HSN)Functions & Graphs Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - Sets & FunctionsEx 2A, 2B, 2C, 2D, 2F, 2G, 2H, 2IAnswers on Links
Text Book SolutionsHeinemann - Graphs of FunctionsEx 3A, 3C, 3E, 3G, 3I, 3K, 3M, 3N, 3O, 3PAnswers on Links
Text Book SolutionsHeinemann - Trig Graphs & EquationsEx 4A, 4B, 4C, 4E, 4H, 4I, 4JAnswers on Links
Essential Skills Exam Practice 6FunctionsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 17Graphs of Derived FunctionsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 20Related GraphsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 27Composite FunctionsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 28Inverse FunctionsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Exam Worksheet 1Functions 1 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 2Functions 2Without AnswersCourtesy of the SQA
2023 Included!Exam Worksheet 3Functions & Sets (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
38 SQA QuestionsExam Worksheet 4Functions & Graphs 1 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 5Functions & Graphs 2 (2015 - 2019)Without AnswersCourtesy of the SQA
2023 Included!Exam Worksheet 6Graphs of Functions 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 7Graphs of Functions 2Without AnswersCourtesy of the SQA
Exam Worksheet 8Domain RestrictionsCourtesy of the SQA
CodebreakerWorksheet 1Rearranging Formula (Practice for Inverse Functions)Without Answers
Worksheet 2Inverse FunctionsAnswers on WorksheetCourtesy of Maths4Everyone
Worksheet 3Plotting Graphs of Inverse Functions
Worksheet 4Functions - Domains RestrictionsWithout Answers
Maths4EveryoneWorksheet 5Composite & Inverse Functions - ExtensionWithout AnswersExtension Courtesy of Maths4Everyone
Worksheet 6Plotting Exponential Functions
Worksheet 7Graph TransformationsAnswersCourtesy of Maths Scot
Worksheet 8Transformations - Match Up
Worksheet 9Graph Transformations GridAnswers
Worksheets 10 & 11Blank Grid 1, Blank Grid 2
Worksheets 12Graph TransformationsAnswers
Worksheets 13Graphs of Trig Functions
Worksheets 14Trig Functions - Period & Amplitude
Exam Check List 6Graphs of Functions
Exam Check List 13Trig Graphs & Equations

.

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 - IntroductionIndefinite & Definite IntegralsIntegration Theory (HSN)Integration (HSN)
Area Under a CurveArea Under and Between CurvesFurther Calculus Theory (HSN)Further Calculus (HSN)
Area Between CurvesIntegration (Preparing For)
Differential EquationsIntegration 1
Definite IntegralsIntegration 2
Integrating Sin & Cos
Integrating With The Chain Rule
Integration - Further Examples

.

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.

Notes
__________________
Higher Worksheets
__________________________
Worksheets
_______________________________
Without Answers
________________
Notes/Comments
_________________________
Courtesy
______________________
Integration Theory (HSN)Integration Theory (HSN)RecommendedCourtesy of HSN
Further Calculus Theory (HSN)Further Calculus Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - IntegrationEx 9G, 9H, 9I, 9L, 9N, 9P, 9Q, 9RAnswers on Links
Text Book SolutionsHeinemann - Further CalculusEx 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14KAnswers on Links
Essential Skills Exam Practice 8IntegrationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills Exam Practice 9Further CalculusWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 23Further IntegrationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 25Differential EquationsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 26Definite IntegralsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 12IntegrationWithout Answers
2023 Included!Exam Worksheet 1Further Calculus 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Further Calculus 2Without AnswersCourtesy of the SQA
Exam Worksheet 3Further Calculus 4 (Old Higher)Without AnswersCourtesy of the SQA
2023 Included!Exam Worksheet 4Integration 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 5Integration 2 (2014 - 2019) Without AnswersCourtesy of the SQA
Exam Worksheet 6Integration 3 (2000 - 2018)Without AnswersCourtesy of the SQA
94 SQA QuestionsExam Worksheet 7Integration 4 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 8Integration 5 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 9Integration 5 - Area under a CurveWithout AnswersCourtesy of the SQA
Exam Worksheet 10Integration 6 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Check List 5Further Calculus
Exam Check List 7Integration

.

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 - PolynomialsCompleting the SquarePolynomials & Quadratics Theory (HSN)Polynomials & Quadratics (HSN)
Dividing PolynimialsDiscriminantPolynomials & Quadratics
Factorising PolynomialsInequationsPolynomials
Factorising Functions from GraphsIntersection of Parabolas & LinesQuadratics
Finding Unknown CoefficientsUsing the Discriminant
Solving Equations
Sketching Quadratics

.

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.

Notes
__________________
Higher Worksheets
___________________________
Worksheets
__________________________________
Without Answers
________________
Notes/Comments
_______________________
Courtesy
______________________
Polynomials & Quadratics TheoryPolynomials & Quadratics Theory (HSN) RecommendedCourtesy of HSN
Text Book SolutionsHeinemann Book - PolynomialsEx 7B, 7C, 7D, 7E, 7F, 7G, 7H, 7I, 7KAnswers on Links
Text Book SolutionsHeinemann Book - QuadraticsEx 8C, 8D, 8E, 8F, 8I, 8J, 8KAnswers on Links
Essential Skills Exam Practice 2Quadratic TheoryWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills Exam Practice 4PolynomialsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 6Quadratic InequalitiesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 7Completing the SquareWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 13 (N5 Maths)Quadratic Formula (N5 Maths)Without AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 14Synthetic DivisionWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 33Using the DiscriminantWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 3PolynomialsWithout Answers
Grade Booster Paper 9DiscriminantWithout Answers
2023 Included!Exam Worksheet 1Polynomials 1 (2000 - 2023)Without Answers RecommendedCourtesy of the SQA
Exam Worksheet 2Polynomials 2 (2000 - 2019)Without AnswersCourtesy of the SQA
Exam Worksheet 3Polynomials 3 (Old Higher)Without AnswersCourtesy of the SQA
Exam Worksheet 4Polynomials & Quadratics 1 (2015 - 2019)Without Answers
Courtesy of the SQA
109 SQA QuestionsExam Worksheet 5Polynomials & Quadratics 2 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 6Polynomials & Quadratics 3 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
2023 Included!Exam Worksheet 7Quadratics 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 8Quadratics 2 (2000 - 2018)Without AnswersCourtesy of the SQA
Exam Worksheet 9Quadratics 3 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Worksheet 1Factorising TrinomialsWithout Answers
Worksheet 2Solving Quadratics by Factorising FirstAnswers
maths4everoneWorksheet 3Completing the SquareAnswersCourtesy of maths4everone
maths4everoneWorksheet 4Completing the Square - AdvancedAnswersCourtesy of maths4everone
Exam Check List 8Polynomials
Exam Check List 9Quadratics

.

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 RelationsSequencesSequencesSequences (HSN)
Limit of a SequenceRecurrence Relations 1
Recurrence Relation from a SequenceRecurrence Relations 2

.

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.

Notes
__________________
Worksheets
______________________________
Worksheets
________________________________
Without Answers
________________
Notes/Comments
______________________
Courtesy
______________________
Sequences Theory (HSN)Sequences Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - Recurrence RelationsEx 5A, 5B, 5C, 5D, 5H, 5IAnswers on Links
Essential Skills Exam Practice 10Recurrence RelationsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 15Limit of a Recurrence RelationWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 24Recurrence: Consecutive TermsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 2Recurrence RelationsWithout Answers
2019 Included!Exam Worksheet 1Recurrence Relations 1 (2000 - 2019)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Recurrence Relations 2 (2000 - 2019)Without AnswersCourtesy of the SQA
Exam Worksheet 3Recurrence Relations 3 (2015 - 2019)Without AnswersCourtesy of the SQA
38 SQA QuestionsExam Worksheet 4Recurrence Relations 4 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 5Recurrence Relations 5 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 6Recurrence Relations 5 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Check List 10Recurrence Relations

.

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
__________________
AltitudesStraight LinesStraight Line Theory (HSN)Straight Lines (HSN)
CollinearityStraight Lines 1
Distance between PointsStraight Lines 2
Equation of a Line
Gradient Revision
Gradient from an Angle
Medians
Midpoints
Perpendicular Bisectors
Perpendicular Gradients
Points of Intersection

.

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.

Notes
__________________
Higher Worksheets
__________________________
Worksheet
_________________________________
Without Answers
________________
Notes/Comments
_____________________
Courtesy
______________________
Straight Line Theory (HSN)Straight Line Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann Book - Straight Line Ex 1A, 1B, 1D, 1E, 1F, 1G, 1I, 1K, 1M, 1N, 1OAnswers on Links
Essential Skills Exam Practice 1Straight LineWithout Answers Answers OnlyCourtesy of Mr G Rennie
Essential Skills 1Median of a TriangleWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 2Perpendicular BisectorsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 3Altitude of a TriangleWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 4Equation of a Tangent to a CurveWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 9Intersection of Lines & CirclesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 29Angle between Line & x-axisWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 5Straight LinesWithout Answers
2023 Included!Exam Worksheet 1Straight Lines 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Straight Lines 2 (2000 - 2019)Without AnswersCourtesy of the SQA
Exam Worksheet 3Straight Lines 3 (2015 - 2019)Without AnswersCourtesy of the SQA
54 SQA QuestionsExam Worksheet 4Straight Lines 4 (Old Higher)Without AnswersMultiple Choice Included!
Exam Worksheet 5Straight Lines 5 (Old Higher)Without AnswersCourtesy of the SQA
Exam Worksheet 6Straight Lines 6 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Worksheet 7Straight Lines 7 (Multiple Choice)SQA Marking SchemesCourtesy of the SQA
Worksheets 1 & 2Gradients of Perpendicular Lines 1, 2
CodebreakerWorksheet 3Codebreaker - Distance FormulaWithout Answers
Worksheet 4Distance Formula
Exam Check List 11Straight Lines

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 FormulaSolving Trig EquationsTrigonometry Theory (HSN)Trigonometry (HSN)
Double Angle FormulaTrig GraphsWave Function (HSN)
Exact ValuesCompound Angle Formula
Radian MeasureTrigonometry 1
Trig Equations 1Trigonometry 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

.

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.

Notes
__________________
Higher Worksheets
______________________________
Worksheet
____________________________________
Without Answers
________________
Notes/Comments
_____________________
Courtesy
______________________
Trigonometry Theory (HSN)Trigonometry Theory (HSN)RecommendedCourtesy of HSN
Further Calculus Theory (HSN)Further Calculus Theory (HSN)RecommendedCourtesy of HSN
Wave Function Theory (HSN)Wave Function Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann - Trig Graphs & EquationsEx 4A, 4B, 4C, 4E, 4H, 4I, 4JAnswers on Links
Text Book SolutionsHeinemann - Addition FormulaeEx 11B, 11C, 11D, 11E, 11F, 11G, 11H, 11JAnswers on Links
Text Book SolutionsHeinemann - Further CalculusEx 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14KAnswers on Links
Text Book SolutionsHeinemann - Wave FunctionEx 16A, 16C, 16D, 16E, 16F, 16G, 16HAnswers on Links
Essential Skills Exam Practice 5TrigonometryWithout Answers Answers OnlyCourtesy of Mr G Rennie
Essential Skills Exam Practice 7Wave FunctionWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 11Trig FormulaWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 12Related AnglesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 13Trig Equations (Double Angle Formula)Without AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 16The Wave FunctionWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 19 Proving Trig IdentitiesWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 25 - N5 MathsSine Rule (N5 Maths)AnswersCourtesy of Mr G Rennie
Essential Skills 26 - N5 MathsCosine Rule (N5 Maths)AnswersCourtesy of Mr G Rennie
Grade Booster Paper 8Wave FunctionWithout Answers
Grade Booster Paper 10Trig Equations with Double AnglesWithout Answers
2023 Included!Exam Worksheet 1Further Calculus 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
2023 Included!Exam Worksheet 2Trigonometry 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 3Trigonometry 2 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Worksheet 4Trigonometry 3 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 5Trig Addition Formulae 1 (2000 - 2022)Without Answers2022 Questions Included!Courtesy of the SQA
Exam Worksheet 6Trig Addition Formulae 2 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 7Trig Graphs & Equations (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 8Trig Formulae & Equations 1Without AnswersCourtesy of the SQA
Exam Worksheet 9Trig Formulae & Equations 2Without AnswersCourtesy of the SQA
2023 Included!Exam Worksheet 10Wave Function 1 (2000 - 2023)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 11Wave Function 2Without AnswersCourtesy of the SQA
Exam Worksheet 12Wave Function 3 (Old Higher)Without AnswersCourtesy of the SQA
Exam Worksheet 13Wave Function 4 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Worksheets 1Graphs of Trig Functions
Worksheets 2Trig Functions - Period & Amplitude
Exam Check List 1Addition Formulae
Exam Check List 13Trig Graphs & Equations
Exam Check List 15Wave Function

.

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 CollinearityVectorsVectors Theory (HSN)Vectors (HSN)
Angle Between VectorsVectors 1
Basis VectorsVectors 2
Dividing a Line in a Given RatioVectors 3
Perpendicular Vectors
Position Vectors
Properties of Scalar Products
Scalar Products
Scalar Products from Components
Unit Vectors

.

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.

Notes
__________________
Higher Worksheets
__________________________
Worksheets
____________________________________
Without Answers
________________
Notes/Comments
_____________________
Courtesy
______________________
Vectors Theory (HSN)Vectors Theory (HSN)RecommendedCourtesy of HSN
Text Book SolutionsHeinemann Book - VectorsEx13A, 13B, 13C, 13D, 13E, 13F, 13G, 13I, 13K, 13L, 13M, 13N, 13O, 13P, 13Q, 13R, 13S, 13UAnswers on Links
Essential Skills Exam Practice 11VectorsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 10Section FormulaWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 21Scalar ProductWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Essential Skills 30Angle between VectorsWithout AnswersAnswers OnlyCourtesy of Mr G Rennie
Grade Booster Paper 7VectorsWithout Answers
2019 Included!Exam Worksheet 1
Vectors 1 (2000 - 2019)Without AnswersRecommendedCourtesy of the SQA
Exam Worksheet 2Vectors 2 (2015 - 2019)Without AnswersCourtesy of the SQA
91 SQA QuestionsExam Worksheet 3Vectors 3 (Old higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 4Vectors 4 (Old Higher)Without AnswersMultiple Choice Included!Courtesy of the SQA
Exam Worksheet 5Vectors 5 (2000 - 2013)SQA Marking SchemesCourtesy of the SQA
Exam Check List 14Vectors

.

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 2025.

Covers the whole of the Higher Maths course

Created by an experienced maths teacher

Resources used with students in Scottish Secondary Schools

Buy today

For Students

To ensure your success in 2024/25 there is a wealth of fantastic additional Higher Maths exam focused resources for less than the cost of a text book.

Just £20 for a year

Buy now >

Buy now with PayPal

For Schools

Schools can get the Online Study Pack also. Unlimited use for all the teachers and students in your school.

Just £200 for a year

Buy now >

Buy now with PayPal