Free AH Maths – Whole Course

Welcome to advancedhighermaths.co.uk

Study at Advanced Higher Maths level will provide excellent preparation for your studies when at university. Some universities may require you to gain a pass at AH Maths to be accepted onto the course of your choice. The AH Maths course is fast paced so please do your very best to keep on top of your studies.

For students looking for extra help with the AH 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 AH Maths course in 2023. Please find below:

1. AH Maths Useful Links

2. AH Maths Theory Guides 

3. Text Book Recommended Timings & Questions – Unit One

4. Text Book Recommended Timings & Questions – Unit Two

5. Text Book Recommended Timings & Questions – Unit Three

6. AH Maths Past Exam Worksheets by Topic

7. AH Maths Past Paper Questions by Topic 

8. AH Maths Past & Practice Exam Papers 

9. AH Maths 2020 Specimen Exam Paper 

10. AH Maths Prelim & Final Exam Practice Papers

11. AH Maths Course Outline, Formulae Sheets & Check List

12. AH Maths Practice Unit Assessments – Solutions Included

13. AH Maths Video Links

14. AH Maths X-Mas Special

15. AH Maths Recommended Text Book

16. AH Maths March 2022 SQA Update

17. Online Study Pack – Students looking for a ‘good’ Pass

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Advanced Higher Maths Resources

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1. AH Maths Useful Links 

Students & Teachers – Please click on any of the green links below or use the Search Bar at the top of this page where you will find a wealth of free resources by topic. Resources include Theory Guides, Videos, PowerPoints, Mind Maps and Worksheets by topic.

Free AH Maths by Topic

Free AH Maths Past & Practice Papers

Free AH Maths Theory Guides & Video Links

Click HERE for all available Online Maths Courses

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2. AH Maths Theory Guides 

Thanks to the authors for making the excellent AH Maths Theory Guides freely available for all to use. These will prove a fantastic resource in helping you consolidate your understanding of AH Maths. For students looking for extra help with the AH Maths course you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

Unit One

Topic 1
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Topic 2
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Topic 3
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Topic 4
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Topic 5
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Topic 6
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Partial Fractions 1Binomial 1Gaussian 1Functions 1Differentiation 1Integration 1
Partial Fractions 2Binomial 2Gaussian 2Functions (HSN)Differentiation 2Integration (HSN)
Partial Fractions (HSN)Binomial (HSN)Gaussian (HSN)Differentiation (HSN)

Unit Two

Topic 1
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Topic 2
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Topic 3
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Topic 4
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Topic 5
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Further Differentiation 1Further Integration 1Complex Numbers 1Sequences & Series 1Methods of Proof
Further Differentiation 2Further Integration 2Complex Numbers 2Sequences & Series 2Proof by Induction
Differentiation (HSN)Integration (HSN)Complex Nos (HSN)Seq & Series (HSN)Methods of Proof (HSN)

Unit Three

Topic 1
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Topic 2
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Topic 3
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Topic 4
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Topic 5
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Vectors 1Matrices 1Maclaurin Series 1Differential Eqns 1Further Number Theory
Vectors 2Matrices 2MacLaurin Series 2Differential Eqns 2
Vectors 3Matrices 3Maclaurin Series (HSN)Differential Eqns (HSN)
Vectors (HSN)Matrices (HSN)

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3.  Text Book Recommended Timings & Questions – Unit One 

Course timings, along with specific text book exercises/questions for Unit One, courtesy of Teejay Publishers can be found HERE.

Partial Fractions

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
_____________
Exercise
_____________
Recommended Questions
_______________________
Worked Solutions
___________________
Type One - Partial FractionsPage 23Exercise 2.2Q1, 5, 12, 18, 19, 22, 25
In Online Study Pack
Type Two - Partial FractionsPage 24Exercise 2.3Q1, 3, 5, 10, 14, 18In Online Study Pack
Type Three - Partial FractionsPage 25Exercise 2.4Q1, 5, 7, 9, 11
In Online Study Pack
Algebraic Long Division WorksheetWorksheetWorked Solutions
Partial Fraction - Long DivisionPage 26Exercise 2.5Q1 a, b, e, j, l
In Online Study Pack

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Binomial Theorem

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
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Exercise
___________
Recommended Questions
_______________________________
Worked Solutions/Notes
__________________________________________________________________________________
Combinations nCrPage 33Exercise 3.3Q1a,b,c,2a,b,c,4a-d,5a,b,6a,7a,b,dIn Online Study Pack
Expanding - Lesson 1Page 36Exercise 3.4Q1a,b,c,2a,i,ii,iii,ivIn Online Study Pack
Expanding - Lesson 2Page 36Exercise 3.4Q3a-d,4a-fTHEORY - Questions 3 & 4
Finding CoefficientsPage 38Exercise 3.5Q1a,b,c,4a,5a,6In Online Study Pack
Approximation eg 1.05^5 = ?Page 40Exercise 3.6Q1a,b,c,dIn Online Study Pack
Simplifying General Term (SQA Questions)SQA Questions & AnswersCommon SQA Binomial Questions not in AH Text Book

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Systems of Equations

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
_____________
Exercise
_______________
Recommended Questions
_______________________
Worked Solutions
___________________
Gaussian EliminationPage 265Exercise 14.4Q1a,b,c,d,2a,b,cIn Online Study Pack
Redundancy & InconsistencyPage 268Exercise 14.6Q1a,b,c,2In Online Study Pack
Redundancy SQA Question 2016 Q4 (SQA)In Online Study Pack
Inconsistency SQA Question 2017 Q5 (SQA)In Online Study Pack
ILL ConditioningPage 274Exercise 14.9Q2a,b,c,dIn Online Study Pack
ILL Conditioning SQA Question 2012 Q14c (SQA)In Online Study Pack

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Functions & Graphs

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
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Exercise
___________
Recommended Questions
_______________________
Worked Solutions
___________________
Sketching Modulus Function y = |x|Page 66Exercise 5.2Q1-9In Online Study Pack
Inverse FunctionsPage 67Exercise 5.3Q1a,c,e,g,i,2a,c,e,3 In Online Study Pack
Odd & Even FunctionsPage 74Exercise 5.8Q3a-lIn Online Study Pack
Vertical Asymptotes & BehaviourPage 75Exercise 5.9Q1a-fIn Online Study Pack
Horizontal & Oblique AsymptotesPage 76Exercise 5.10Q1a,b,f,g,k,lIn Online Study Pack
Sketching GraphsPage 77Exercise 5.11Q1a,c,e,i,kIn Online Study Pack

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Differential Calculus

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
____________
Exercise
___________
Recommended Questions
_______________________
Worked Solutions
___________________
Derivative from First PrinciplesPage 45Exercise 4.1Q1,3,5,7In Online Study Pack
The Chain RulePage 48Exercise 4.3Q1a,d,2a,c,3b,4a,5aIn Online Study Pack
The Product RulePage 51Exercise 4.5Q1a-h,Q2b,Q3a-lIn Online Study Pack
The Quotient RulePage 52Exercise 4.6Q1,2,3,4In Online Study Pack
Differentiation - A Mixture!Page 53Exercise 4.7Q1,2,3,4,5In Online Study Pack
Sec, Cosec & CotPage 55Exercise 4.8Q1a,b,2a,c,d,3a,c,e,gIn Online Study Pack
Exponential FunctionsPage 58Exercise 4.9Q1a,c,e,2a,3e,4a,b,5a,eIn Online Study Pack
Logarithmic FunctionsPage 58Exercise 4.9Q1k,m,o,q,s,2f,g,3a,b,c,4d,e,5dIn Online Study Pack
Nature & Sketching PolynomialsPage 70Exercise 5.5Q1a,b,c,2a,bIn Online Study Pack
ConcavityPage 73Exercise 5.7Q5a,b,c,Q1a,bIn Online Study Pack
ApplicationsPage 187Ex 11.1Q1a,b,e,f,2a,c,3a,cIn Online Study Pack

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Integral Calculus

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page No
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Exercise
___________
Recommended Questions
_____________________
Worked Solutions
___________________
Integration (Higher Revision)Page 100Exercise 7.1Q1a-i,2a-i,3a-l,4a-fIn Online Study Pack
Integration by SubstitutionPage 103Exercise 7.2Q1a,c,e,g,i,k,m,o,q,s,u,wIn Online Study Pack
Integration by Substitution - Extra Revision!Page 103Exercise 7.2Q1b,d,f,h,j,l,n,p,r,t,v,xIn Online Study Pack
Further Integration by SubstitutionPage 105Exercise 7.3Q2a,b,c,d,4a,b,c,dIn Online Study Pack
Further Integration by SubstitutionPage 105Exercise 7.3Q6a,b,c,dIn Online Study Pack
Further Int'n by Sub'n - sin^m(x), cos^n(x)Page 105Exercise 7.3Q7a,b,c,d,e,fIn Online Study Pack
Further Integration by Substitution - logsPage 105Exercise 7.3Q11a,b,c,dIn Online Study Pack
Substitution & Definite IntegralsPage 107Exercise 7.4Q1a,c,e,g,i,kIn Online Study Pack
Area between curve & x-axisPage 120Exercise 7.10Q1,3In Online Study Pack
Area between curve & y-axisPage 120Exercise 7.10Q6,7In Online Study Pack
Volume - revolved around x-axis SQA Question2014 Q10 (SQA)In Online Study Pack
Volume - revolved around y-axis SQA Question2017 Q16 (SQA)In Online Study Pack
Volume - revolved around x-axisPage 120Exercise 7.10Q11,12In Online Study Pack
Applications of Integral CalculusPage 187Exercise 11.1Q4,14In Online Study Pack

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4. Text Book Recommended Timings & Questions – Unit Two 

Course timings, along with specific text book exercises/questions for Unit Two, courtesy of Teejay Publishers can be found HERE.

Further Differentiation

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
_______________________________________
Page Number
_____________
Exercise
______________
Recommended Questions
_____________________
Worked Solutions
___________________
Inverse Trig Functions & Chain RulePage 85Exercise 6.2Q1a,b,c,Q2b,c,dQ3a,dIn Online Study Pack
Inverse Trig Fns & Product/Quotient RulesPage 86Exercise 6.3Q2,Q3In Online Study Pack
Implicit & Explicit Functions - 1Page 89Exercise 6.4Q1,Q2In Online Study Pack
Implicit & Explicit Functions - 2Page 89Exercise 6.4Q5,Q9,Q4In Online Study Pack
Second Derivatives of Implicit FunctionsPage 90Exercise 6.5Q1a,d,f,k(i),6In Online Study Pack
Logarithmic DifferentiationPage 92Exercise 6.6Q1,Q2In Online Study Pack
Parametric EquationsPage 95Exercise 6.7Q1a,b,cIn Online Study Pack
Parametric Eqns - Differentiation Page 96Exercise 6.8Q1,2,3In Online Study Pack
Parametric Eqns - Differentiation (Alternative)Page 96Exercise 6.8Q1(i)In Online Study Pack
Parametric Eqns - Differentiation (Alternative)Page 96Exercise 6.8Q1(ii),Q2,Q3In Online Study Pack
Applications of Further DifferentiationPage 193Exercise 11.2Q1,Q2,Q3In Online Study Pack

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Further Integration

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page No
__________
Exercise
_________________
Recommended Questions
__________________________
Worked Solutions
___________________
Integration using Inverse Trig FunctionsPage 111Exercise 7.6Q1,2,3,4a,bIn Online Study Pack
Integration using Partial FractionsPage 113Exercise 7.7Q1a,b,2a,b,3a,b,4a,b,5a,b,6a,bIn Online Study Pack
Integration by Parts - 1Page 116Exercise 7.8Q1a-l In Online Study Pack
Integration by Parts - 2Page 116Exercise 7.8Q2a,c,d,e,f,g,hIn Online Study Pack
Integration by Parts - 3Page 116Exercise 7.8Q5a,b,Q6a,bIn Online Study Pack
Integration by Parts - Special Cases - 1Page 118Exercise 7.9 Q1a,b,c,dIn Online Study Pack
Integration by Parts - Special Cases - 2Page 118Exercise 7.9Q2a,b,c,d,eIn Online Study Pack
First Order Diff Eqns - General SolnPage 128Exercise 8.1Q1a-jIn Online Study Pack
First Order Diff Eqns - Particular SolnPage 128Exercise 8.1Q2a-gIn Online Study Pack
Differential Equations in ContextPage 131Exercise 8.2Q2,4,5,6In Online Study Pack

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Complex Numbers

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
_________________________________
Page Number
_____________
Exercise
______________
Recommended Questions
_________________________
Worked Solutions
___________________
Arithmetic with Complex NumbersPage 207Exercise 12.1Q1,2,3,6,7,8In Online Study Pack
Division & Square Roots of Complex NosPage 209Exercise 12.2Q1a,b,c,2c,e,3a,b,f,5a,bIn Online Study Pack
Argand DiagramsPage 211Exercise 12.3Q3a,b,d,e,f,i,6a,b,f,7a,b,cIn Online Study Pack
Multiplying/Dividing in Polar FormPage 215Exercise 12.5Q1a,b,f,gIn Online Study Pack
De Moivre's TheoremPage 218Exercise 12.6Q1,2,3a,4g,h,i,jIn Online Study Pack
Polynomials & Complex NumbersPage 224Exercise 12.8Q2a,d,3a,b,4,5,6a,bIn Online Study Pack
Loci on the Complex PlanePage 213Exercise 12.4Q1a,b,d,f,j,3a,b,4a,b,cIn Online Study Pack
Expanding Trig FormulaPage 219Exercise 12.6Q5,6,7aIn Online Study Pack
Roots of a Complex NumberPage 222Exercise 12.7Q2a,b,c,d,e,f,1a(i)In Online Study Pack

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Sequences & Series, Sigma Notation

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
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Page Number
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Exercise
______________
Recommended Questions
__________________________
Worked Solutions
___________________
Arithmetic SequencesPage 151Exercise 9.1Q1a-f,2a-f,Q3,Q4,Q6In Online Study Pack
Finding Sum - Arithmetic SequencePage 153Exercise 9.2Q1a,b,c,Q3a-d,Q4a,b,Q5aIn Online Study Pack
Geometric SequencePage 156Exercise 9.3Q1a-e,Q2,Q3,Q5In Online Study Pack
Finding Sum - Geometric SequencePage 159Exercise 9.4Q1a-f,Q2a-d,Q3a-d,Q4In Online Study Pack
Finding Sum to InfinityPage 162Exercise 9.5Q1,2,3,4,6In Online Study Pack
Sigma NotationPage 168Exercise 10.1Q1a-e,Q2a-eIn Online Study Pack

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Number Theory & Proof

Topic
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Lessons
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Questions
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Typed Solutions
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Handwritten Solutions
______________________
Exam Questions - Worked Solutions in Online Study Pack
______________________________________________________
Direct ProofLesson 1Ex 1 & 2 Ex 1 & 2 Handwritten Solns2018-Q9,2015-Q12, 2010-Q8a
Proof by Counterexample Lesson 2Ex 3Ex 3 Typed SolnsEx 3 Handwritten Solns2016-Q10, 2013-Q12, 2008-Q11
Proof by Counterexample Ex 4Ex 4 Typed SolnsEx 4 Handwritten Solns2016-Q10, 2013-Q12, 2008-Q11
Proof by ContradictionLesson 3Ex 5Ex 5 Typed SolnsEx 5 Handwritten Solns2010-Q12
Proof by ContrapositiveLesson 4Ex 6Ex 6 Typed SolnsEx 6 Handwritten Solns2017-Q13
Proof by InductionLesson 5Ex 7Ex 7 Typed SolnsEx 7 Handwritten Solns2014-Q7,2013-Q9,2012-Q16a,2011-Q12,2010-Q8b,2009-Q4,2007-Q12
Proof by Induction - Sigma NotationLesson 6Ex 8Ex 8 Typed SolnsEx 8 Handwritten Solns2018-Q12,2016-Q5, 2013-Q9,2009-Q4

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5. Text Book Recommended Timings & Questions – Unit Three 

Course timings, along with specific text book exercises/questions for Unit Three, courtesy of Teejay Publishers can be found HERE

Vectors

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
__________________________________
Page Number
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Exercise
______________
Recommended Questions
________________________
Lesson/Notes
_________________
Worked Solutions
___________________
Higher Revision On VectorsPage 282Exercise 15.1Q6,7,8In Online Study Pack
The Vector Product - 1Page 286Exercise 15.3Q1,2a,b,5,7,8a,b,10Lesson 1In Online Study Pack
The Vector Product - 2Page 286Exercise 15.3Q3,4,6,12Lesson 2In Online Study Pack
The Equations of a LinePage 298Exercise 15.8Q1a,b,2a,3a,c,e,5Lesson 3In Online Study Pack
Vector Equation of a Straight LinePage 298Exercise 15.9Q2Lesson 3In Online Study Pack
The Equation of a PlanePage 291Exercise 15.5Q1a,b,c,d,2a,b,3,4a,c,9,10Lesson 4In Online Study Pack
Angle Between 2 PlanesPage 293Exercise 15.6Q1,2,3Lesson 5In Online Study Pack
Intersection of Line & PlanePage 300Exercise 15.10Q1a,b,c,2a,b,3,4aLesson 6In Online Study Pack
Intersection of 2 LinesPage 302Exercise 15.11 Q1,2Lesson 7In Online Study Pack
Intersection of 2 Planes using GaussianPage 303Exercise 15.12Q1,2Lesson 8In Online Study Pack
Intersection of 2 Planes - AlternativePage 303Exercise 15.12Q1,2In Online Study Pack
Intersection of 3 PlanesPage 307Exercise 15.3Q1a,c,2a,cLesson 9In Online Study Pack

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Matrices

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
__________________________________
Page Number
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Exercise
______________
Recommended Questions
____________________________
Worked Solutions
___________________
Basic Properties & Operations of MatricesPage 231Exercise 13.1Q1,2,3a,4a,c,e,i,p,t,7a,f,9,10In Online Study Pack
Matrix MultiplicationPage 235Exercise 13.3Q1a,c,2a,c,k,m,o,3a,4,5a,cIn Online Study Pack
Properties of Matrix MultiplicationPage 236Exercise 13.4Q6a,b,7a,b,8aIn Online Study Pack
Determinant of a 2 x 2 MatrixPage 240Exercise 13.6Q1a,b,d,hIn Online Study Pack
Determinant of a 3 x 3 MatrixPage 247Exercise 13.9Q4a,b,c,d,5a,bIn Online Study Pack
Inverse of a 2 x 2 MatrixPage 243Exercise 13.7Q1,2,4,8,9a,b,cIn Online Study Pack
Inverse of a 3 x 3 MatrixPage 275Exercise 14.10Q1a,b,c,dIn Online Study Pack
Transformation MatricesPage 251Exercise 13.10Q1,2,5In Online Study Pack

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Further Sequences & Series (Maclaurin Series)

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
________________________________
Page Number
_____________
Exercise
______________
Recommended Questions
_______________________
Worked Solutions
___________________
Maclaurin Series for f(x)Page 179Exercise 10.5Q1a,b,c,d,3a,bIn Online Study Pack
Maclaurin Series - Composite FunctionsPage 182Exercise 10.7Q1a,f,2a,3a,6a,7a,8a,bIn Online Study Pack
Maclaurin Series - SQA QuestionsSQA Questions & AnswersIn Online Study Pack

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Further Differential Equations

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
__________________________________
Page Number
_____________
Exercise
______________
Recommended Questions
________________________
Worked Solutions
___________________
1st Order Linear Differential EquationsPage 136Exercise 8.3Q1a,b,2a,3a,bIn Online Study Pack
2nd Order Differential Equations
(Roots Real & Distinct)
Page 140Exercise 8.4Q1a,b,c,2a,bIn Online Study Pack
2nd Order Differential Equations
(Roots Real & Coincident)
Page 141Exercise 8.5Q1a,b,c,2a,bIn Online Study Pack
2nd Order Differential Equations
(Roots Not Real)
Page 142Exercise 8.6Q1a,b,c,2a,bIn Online Study Pack
Non-Homogeneous Differential Equations
(Finding General Solution)
Page 146Exercise 8.9Q1a,b,cIn Online Study Pack
Non-Homogeneous Differential Equations
(Finding Particular Solution)
Page 146Exercise 8.9Q2a,b,cIn Online Study Pack

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Further Number Theory & Proof

Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan Text Book are shown below. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

Subtopic
_______________________________________
Page Number
_____________
Exercise
_________
Recommended Questions
_________________________
Worked Solutions
___________________
Finding the Greatest Common Divisor (GCD)Page 318Ex 16.3Q1a,c,e,g,iIn Online Study Pack
Expressing GCD in the form xa + yb = dPage 320Ex 16.4Q1,2,3,4In Online Study Pack
Number BasesPage 322Ex 16.5Q1a-d,2a-f In Online Study Pack
Further Number Theory - SQA QuestionsSQA Questions & AnswersIn Online Study Pack

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6. AH Maths Past Paper Exam Worksheets by Topic 

Thanks to the SQA for making these available. The worksheets by topic below are an excellent study resource since they are actual SQA past paper exam questions. Clear, easy to follow, step-by-step worked solutions to all SQA AH Maths Questions below are available in the Online Study Pack.

Number
______
Topic
____________________________________________
Answers
_________
Worked Solutions
___________________
1Binomial TheoremAnswersIn Online Study Pack
2Complex NumbersAnswersIn Online Study Pack
3DifferentiationAnswersIn Online Study Pack
4Differentiation (Further)AnswersIn Online Study Pack
5Differential Equations - Variables SeparableAnswersIn Online Study Pack
6Differential Equations (Further)AnswersIn Online Study Pack
7Functions & GraphsAnswersIn Online Study Pack
8IntegrationAnswersIn Online Study Pack
9Integration (Further)AnswersIn Online Study Pack
10MatricesAnswersIn Online Study Pack
11Number Theory - Methods of ProofAnswersIn Online Study Pack
12Number Theory (Further) - Euclidean & Number BasesAnswersIn Online Study Pack
13Partial FractionsAnswersIn Online Study Pack
14Sequences & SeriesAnswersIn Online Study Pack
15 Sequences & Series - Maclaurin AnswersIn Online Study Pack
16Systems of EquationsAnswersIn Online Study Pack
17VectorsAnswersIn Online Study Pack

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7. AH Maths Past Paper Questions by Topic

Thanks to the SQA for making these available. Questions and answers have been split up by topic for your ease of reference. Clear, easy to follow, step-by-step worked solutions to all SQA AH Maths questions below are available in the Online Study Pack.

.
Paper
___________
.
Marking
______
Binomial
Theorem
________
Partial
Fractions
________
.
Differentiation
___________
Further Differentiation
___________
.
Integration
___________
Further
Integration
____________
Functions
& Graphs
___________
Systems of
Equations
____________
Complex
Numbers
__________
Seq &
Series
_________
Further Seq
& Series
____________
.
Matrices
_________
.
Vectors
__________
Methods
of Proof
__________
Further No
Theory
___________
Differential
Equations
____________
Further
Differential Eqns
_________________
Specimen P1MarkingQ2Q4Q6Q8Q3Q5Q1Q7
Specimen P2MarkingQ3Q1Q2,4,8,10Q7Q11Q5Q13Q9Q6Q12
2019MarkingQ9Q4Q1a,b,6Q1c,5,10Q16bQ16aQ3Q18Q7,17Q2Q15Q11,14Q12Q13Q8
2018MarkingQ3Q2Q1bQ1a,c,6,13Q8Q15aQ16aQ4,10Q14Q17Q7,11Q16Q9,12Q5Q15b
2017MarkingQ1Q2Q3Q11,18Q16Q6Q12Q5Q17Q4,10Q7Q15Q13Q8Q9Q14
2016MarkingQ3Q13Q1a,bQ1c,11Q13Q9Q12Q4Q8Q2Q6Q7Q14Q5,10Q16Q15
2015MarkingQ1,9Q2Q4,6,8Q17Q10Q14Q13Q3Q5,11Q15Q12Q7Q18Q16
2014MarkingQ214bQ1,13Q1,4,6Q10,12Q15Q11Q3Q16Q14Q9Q7Q5Q7Q8
2013MarkingQ1Q2Q11Q4,6Q8Q13Q7,10Q17Q3Q15Q9,12Q5Q16Q14
2012MarkingQ415aQ1Q12,13Q8Q11Q7Q14Q3,16bQ2Q6Q9Q516aQ10Q15
2011MarkingQ2Q13b,73aQ1,11aQ1,11,16Q6Q10Q8,13Q5Q4Q15Q12Q9Q14
2010MarkingQ5Q1Q13Q15Q3,7Q10Q16Q2Q9Q4,14Q6Q8,12Q11
2009MarkingQ8Q14Q1aQ1b,11Q5,7Q9Q1316aQ6Q12Q14Q2Q16Q4Q10Q3Q15
2008MarkingQ8Q4Q10,15Q2,5Q4,9,10Q7Q3Q16Q1Q12Q6Q14Q11Q13
2007MarkingQ1Q4Q2Q13Q4,10Q4Q16Q3,11Q9Q6Q5Q15Q12Q7Q14Q8
MixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixedMixed

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8. AH Maths Past & Practice Exam Papers 

Thanks to the SQA for making these available. Clear, easy to follow, step-by-step worked solutions to SQA AH Maths Papers from 2007 – 2022 below are available in the Online Study Pack.

Year
____
Paper Type
_________________
Exam Paper
______________
Marking Scheme
_________________
Worked Solutions
___________________
2022Advanced HigherExam PaperAvailable Soon!In Online Study Pack
2019AH SpecimenSpecimenMarking SchemeIn Online Study Pack
2019Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2018Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2017Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2016Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2016AH SpecimenSpecimenMarking SchemeIn Online Study Pack
2016AH ExemplarExemplarMarking SchemeIn Online Study Pack
2015Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2014Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2013Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2012Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2011Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2010Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2009Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2008Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2007Advanced HigherExam PaperMarking SchemeIn Online Study Pack
2006Advanced HigherExam PaperMarking Scheme
2005Advanced HigherExam PaperMarking Scheme
2004Advanced HigherExam PaperMarking Scheme
2003Advanced HigherExam PaperMarking Scheme
2002Advanced HigherExam PaperMarking Scheme
2001Advanced HigherExam PaperMarking Scheme

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9. AH Maths 2020 Specimen Exam Paper 

Please find below two Specimen Papers courtesy of the SQA. Clear, easy to follow, step-by-step worked solutions to the SQA AH Maths Specimen Paper is available in the Online Study Pack.

.
Date
__________
.
Paper
___________
.
Marking
______
Binomial
Theorem
________
Partial
Fractions
________
.
Differentiation
___________
Further Differentiation
___________
.
Integration
___________
Further
Integration
____________
Functions
& Graphs
___________
Systems of
Equations
____________
Complex
Numbers
__________
Seq &
Series
_________
Further Seq
& Series
____________
.
Matrices
_________
.
Vectors
__________
Methods
of Proof
__________
Further No
Theory
___________
Differential
Equations
____________
Further
Differential Eqns
_________________
June 2019Specimen P1MarkingQ2Q4Q6Q8Q3Q5Q1Q7
June 2019Specimen P2MarkingQ3Q1Q2,4,8,10Q7Q11Q5Q13Q9Q6Q12

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10. AH Maths Prelim & Final Exam Practice Papers

Thanks to the SQA and authors for making these freely available. Please use regularly for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to the first five Practice Papers below are available in the Online Study Pack.

AH Practice Exam Paper
_____________________
Marking
___________
AH Practice Exam Paper
_____________________
Marking
___________
Practice Exam Paper 1HEREPractice Exam Paper 5HERE
Practice Exam Paper 2HEREPractice Exam Paper 6HERE
Practice Exam Paper 3HEREPractice Exam Paper 7HERE
Practice Exam Paper 4HEREPractice Exam Paper 8HERE

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11. AH Maths Course Outline, Formulae Sheets & Check List

Thanks to the SQA and authors for making the excellent resources below freely available. These are fantastic check lists to assess your AH Maths knowledge. Please try to use these regularly for revision prior to tests, prelims and the final exam.

Title
____________________________________
Link
___________
Courtesy
___________________
AH Maths Course Outline & TimingsHERE
SQA AH Maths Exam Formulae ListHERECourtesy of SQA
SQA Higher Maths Exam Formulae ListHERECourtesy of SQA
SQA AH Maths Support NotesHERECourtesy of SQA
AH Maths Complete Check ListHERE

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12. AH Maths Practice Unit Assessments – Solutions Included

Thanks to maths777 for making the excellent resources freely available for all to use. This will prove a fantastic resource in helping you prepare for assessments, tests and the final exam.

Methods in Algebra & Calculus
__________________________
Applications of Algebra & Calculus
____________________________
Geometry, Proof & Systems of Equations
____________________________________
Practice 1Practice 1Practice 1
Practice 2Practice 2Practice 2
Practice 3Practice 3Practice 3

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13. AH Maths Video Links

Please click DLB Maths to view AH Maths Past Paper video solutions. There are also many videos showing worked examples by topic on the St Andrews StAnd Maths YouTube Channel link. Both video links are excellent resources in helping you prepare for assessments, tests and the final exam.

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14. AH Maths X-Mas Special

Thanks to the authors for making the excellent resource below freely available. The AH Maths X-Mas Special worksheet will provide great preparation for your all important prelims/assessments.

Without Worked Solutions
_________________________
With Worked Solutions
_________________________
Worked Solutions Only
______________________
X-Mas Special - No SolutionsX-Mas Special - With SolutionsWorked Solutions Only

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15. *** March 2022 SQA Update ***

Please find below useful information regarding this years AH Maths exam:

Document
_______________________________
Link
_______
Courtesy
______________
2022 SQA AH Maths Exam GuidanceLinkSQA
2022 AH Maths Exam VideoLinkDavid Clelland
2022 AH Maths Exam Time TableLinkSQA

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16. AH Maths Text Book – Maths In Action (2nd Edition) by Edward Mullan 

A fully revised course for the new Curriculum for Excellence examination that is designed to fully support the course’s new structure and unit assessment. A part of the highly regarded Maths in Action series, it provides students with a familiar, clear and carefully structured learning experience that encourages them to build confidence and understanding.

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17. Advanced Higher Maths Online Study Pack 

Through step-by-step worked solutions to exam questions and recommended MIA text book questions available in the Online Study Pack we cover everything you need to know about AH Maths to pass your final exam.

For students looking for a ‘good’ pass at AH 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 AH Maths course in 2023.

Covers the whole of the AH Maths course

Created by an experienced maths teacher

Resources used with students in Scottish Secondary Schools

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For Students

To ensure your success in 2022/23 there is a wealth of fantastic additional AH Maths exam focused resources for less than the cost of a text book.

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For Schools

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

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