Free AH Maths – Whole Course

Welcome to advancedhighermaths.co.uk

The AH Maths exam, as per the SQA Exam Timetable, is on Monday 12th May. P1 09:00 – 10:00 & P2 10:30 – 13:00.

The free maths websites are courtesy of Inigo Media, the SQA and all the authors who have kindly made their resources freely available.

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 AH Maths 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 2025. Please find below:

1. AH Maths Exam Focused Online Study Pack

2. AH Maths Past & Practice Exam Papers 

3. AH Maths Useful Links

4. AH Maths Theory Guides 

5. Text Book Recommended Timings & Questions – Unit One

6. Text Book Recommended Timings & Questions – Unit Two

7. Text Book Recommended Timings & Questions – Unit Three

8. AH Maths Past Exam Worksheets by Topic

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

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Advanced Higher Maths Resources

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1. AH Maths Exam Focused Online Study Pack

Please give yourself every opportunity for Advanced Higher Maths success, speak with your parents, and consider subscribing to the excellent AH Maths exam focused online Study Pack today.

For just £20 you will have instant, unlimited access, to the online Advanced Higher Maths Study Pack from now until after the exam in May 2025. Please click HERE to find out what’s in the online Study Pack.

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AH Maths Exam Focused Online Study Pack – Here you will find clear, easy to follow, step-by-step worked solutions to all SQA AH Maths exam questions from 2007 to 2024, AH Maths exam questions split into topics, a further 5 AH Maths Practice Papers, recommended exercises for the entire AH Maths course from the MIA (2nd Edition) by Edward Mullan text book and AH Maths Theory Guides. Please click HERE for further information including a Study Pack screenshot and several exemplars.

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2. 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 – 2024 below are available in the Online Study Pack.

The AH Maths exam, as per the SQA Exam Timetable, is on Monday 12th May. P1 09:00 – 10:00 & P2 10:30 – 13:00.

Year
___________
Paper Type
_________________
Exam Paper
______________
Marking Scheme
_________________
Handwritten Worked Solutions
_________________________________
Courtesy
________________________
2024Advanced HigherExam PaperMarking Scheme2024 Solutions in the Online Study PackCourtesy of the SQA
2023Advanced HigherExam PaperMarking Scheme2023 Solutions in the Online Study PackCourtesy of the SQA
2022Advanced HigherExam PaperMarking Scheme2022 Solutions in the Online Study PackCourtesy of the SQA
2021Advanced HigherExam PaperMarking Scheme2021 Solutions in the Online Study PackCourtesy of the SQA
2019AH SpecimenSpecimenMarking Scheme2019 Solutions in the Online Study PackCourtesy of the SQA
2019Advanced HigherExam PaperMarking Scheme2019 Solutions in the Online Study PackCourtesy of the SQA
2018Advanced HigherExam PaperMarking Scheme2018 Solutions in the Online Study PackCourtesy of the SQA
2017Advanced HigherExam PaperMarking Scheme2017 Solutions in the Online Study PackCourtesy of the SQA
2016Advanced HigherExam PaperMarking Scheme2016 Solutions in the Online Study PackCourtesy of the SQA
2016AH SpecimenSpecimenMarking Scheme2016 Solutions in the Online Study PackCourtesy of the SQA
2016AH ExemplarExemplarMarking Scheme2016 Solutions in the Online Study PackCourtesy of the SQA
2015Advanced HigherExam PaperMarking Scheme2015 Solutions in the Online Study PackCourtesy of the SQA
2014Advanced HigherExam PaperMarking Scheme2014 Solutions in the Online Study PackCourtesy of the SQA
2013Advanced HigherExam PaperMarking Scheme2013 Solutions in the Online Study PackCourtesy of the SQA
2012Advanced HigherExam PaperMarking Scheme2012 Solutions in the Online Study PackCourtesy of the SQA
2011Advanced HigherExam PaperMarking Scheme2011 Solutions in the Online Study PackCourtesy of the SQA
2010Advanced HigherExam PaperMarking Scheme2010 Solutions in the Online Study PackCourtesy of the SQA
2009Advanced HigherExam PaperMarking Scheme2011 Solutions in the Online Study PackCourtesy of the SQA
2008Advanced HigherExam PaperMarking Scheme2008 Solutions in the Online Study PackCourtesy of the SQA
2007Advanced HigherExam PaperMarking Scheme2007 Solutions in the Online Study PackCourtesy of the SQA
2006Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2005Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2004Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2003Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2002Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2001Advanced HigherExam PaperMarking SchemeCourtesy of the SQA
2024 PracticeAdvanced HigherExam PaperWithout AnswersAnswersCourtesy of Madras College
X-Mas SpecialAdvanced HigherExam PaperWithout SolutionsWorked Solutions

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3. 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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4. 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
___________________
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
______________________
Topic 2
________________________
Topic 3
___________________
Topic 4
____________________
Topic 5
_________________________
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
_________________
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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5.  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
_______________________________
Page Number
_____________
Exercise
_____________
Recommended Questions
_______________________
Handwritten Worked Solutions
_________________________________
Type One - Partial FractionsPage 23Exercise 2.2Q1, 5, 12, 18, 19, 22, 25
Solutions in the Online Study Pack
Type Two - Partial FractionsPage 24Exercise 2.3Q1, 3, 5, 10, 14, 18Solutions in the Online Study Pack
Type Three - Partial FractionsPage 25Exercise 2.4Q1, 5, 7, 9, 11
Solutions in the Online Study Pack
Algebraic Long Division WorksheetWorksheetSolutions on Page 8
Partial Fraction - Long DivisionPage 26Exercise 2.5Q1 a, b, e, j, l
Solutions in the 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
____________________________________
Page Number
_____________
Exercise
___________
Recommended Questions
____________________________
Handwritten Worked Solutions
__________________________________________________________________________________
Combinations nCrPage 33Exercise 3.3Q1a,b,c,2a,b,c,4a-d,5a,b,6a,7a,b,dSolutions in the Online Study Pack
Expanding - Lesson 1Page 36Exercise 3.4Q1a,b,c,2a,i,ii,iii,ivSolutions in the Online Study Pack
Expanding - Lesson 2Page 36Exercise 3.4Q3a-d,4a-fTHEORY - Questions 3 & 4
Finding CoefficientsPage 38Exercise 3.5Q1a,b,c,4a,5a,6Solutions in the Online Study Pack
Approximation eg 1.05^5 = ?Page 40Exercise 3.6Q1a,b,c,dSolutions in the 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
______________________________
Page Number
_____________
Exercise
_______________
Recommended Questions
______________________
Handwritten Worked Solutions
________________________________
Gaussian EliminationPage 265Exercise 14.4Q1a,b,c,d,2a,b,cSolutions in the Online Study Pack
Redundancy & InconsistencyPage 268Exercise 14.6Q1a,b,c,2Solutions in the Online Study Pack
Redundancy SQA Question 2016 Q4 (SQA)Solutions in the Online Study Pack
Inconsistency SQA Question 2017 Q5 (SQA)Solutions in the Online Study Pack
ILL ConditioningPage 274Exercise 14.9Q2a,b,c,dSolutions in the Online Study Pack
ILL Conditioning SQA Question 2012 Q14c (SQA)Solutions in the 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
_______________________
Handwritten Worked Solutions
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Sketching Modulus Function y = |x|Page 66Exercise 5.2Q1-9Solutions in the Online Study Pack
Inverse FunctionsPage 67Exercise 5.3Q1a,c,e,g,i,2a,c,e,3 Solutions in the Online Study Pack
Odd & Even FunctionsPage 74Exercise 5.8Q3a-lSolutions in the Online Study Pack
Vertical Asymptotes & BehaviourPage 75Exercise 5.9Q1a-fSolutions in the Online Study Pack
Horizontal & Oblique AsymptotesPage 76Exercise 5.10Q1a,b,f,g,k,lSolutions in the Online Study Pack
Sketching GraphsPage 77Exercise 5.11Q1a,c,e,i,kSolutions in the 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
_______________________
Handwritten Worked Solutions
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Derivative from First PrinciplesPage 45Exercise 4.1Q1,3,5,7Solutions in the Online Study Pack
The Chain RulePage 48Exercise 4.3Q1a,d,2a,c,3b,4a,5aSolutions in the Online Study Pack
The Product RulePage 51Exercise 4.5Q1a-h,Q2b,Q3a-lSolutions in the Online Study Pack
The Quotient RulePage 52Exercise 4.6Q1,2,3,4Solutions in the Online Study Pack
Differentiation - A Mixture!Page 53Exercise 4.7Q1,2,3,4,5Solutions in the Online Study Pack
Sec, Cosec & CotPage 55Exercise 4.8Q1a,b,2a,c,d,3a,c,e,gSolutions in the Online Study Pack
Exponential FunctionsPage 58Exercise 4.9Q1a,c,e,2a,3e,4a,b,5a,eSolutions in the Online Study Pack
Logarithmic FunctionsPage 58Exercise 4.9Q1k,m,o,q,s,2f,g,3a,b,c,4d,e,5dSolutions in the Online Study Pack
Nature & Sketching PolynomialsPage 70Exercise 5.5Q1a,b,c,2a,bSolutions in the Online Study Pack
ConcavityPage 73Exercise 5.7Q5a,b,c,Q1a,bSolutions in the Online Study Pack
ApplicationsPage 187Ex 11.1Q1a,b,e,f,2a,c,3a,cSolutions in the 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
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Recommended Questions
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Handwritten Worked Solutions
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Integration (Higher Revision)Page 100Exercise 7.1Q1a-i,2a-i,3a-l,4a-fSolutions in the Online Study Pack
Integration by SubstitutionPage 103Exercise 7.2Q1a,c,e,g,i,k,m,o,q,s,u,wSolutions in the Online Study Pack
Integration by Substitution - Extra Revision!Page 103Exercise 7.2Q1b,d,f,h,j,l,n,p,r,t,v,xSolutions in the Online Study Pack
Further Integration by SubstitutionPage 105Exercise 7.3Q2a,b,c,d,4a,b,c,dSolutions in the Online Study Pack
Further Integration by SubstitutionPage 105Exercise 7.3Q6a,b,c,dSolutions in the Online Study Pack
Further Int'n by Sub'n - sin^m(x), cos^n(x)Page 105Exercise 7.3Q7a,b,c,d,e,fSolutions in the Online Study Pack
Further Integration by Substitution - logsPage 105Exercise 7.3Q11a,b,c,dSolutions in the Online Study Pack
Substitution & Definite IntegralsPage 107Exercise 7.4Q1a,c,e,g,i,kSolutions in the Online Study Pack
Area between curve & x-axisPage 120Exercise 7.10Q1,3Solutions in the Online Study Pack
Area between curve & y-axisPage 120Exercise 7.10Q6,7Solutions in the Online Study Pack
Volume - revolved around x-axis SQA QuestionTheory & Worksheet2014 Q10 (SQA)Solutions in the Online Study Pack
Volume - revolved around y-axis SQA Question2017 Q16 (SQA)Solutions in the Online Study Pack
Volume - revolved around x-axisPage 120Exercise 7.10Q11,12Solutions in the Online Study Pack
Applications of Integral CalculusPage 187Exercise 11.1Q4,14Solutions in the Online Study Pack

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6. 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
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Page Number
_____________
Exercise
______________
Recommended Questions
_____________________
Handwritten Worked Solutions
________________________________
Inverse Trig Functions & Chain RulePage 85Exercise 6.2Q1a,b,c,Q2b,c,dQ3a,dSolutions in the Online Study Pack
Inverse Trig Fns & Product/Quotient RulesPage 86Exercise 6.3Q2,Q3Solutions in the Online Study Pack
Implicit & Explicit Functions - 1Page 89Exercise 6.4Q1,Q2Solutions in the Online Study Pack
Implicit & Explicit Functions - 2Page 89Exercise 6.4Q5,Q9,Q4Solutions in the Online Study Pack
Second Derivatives of Implicit FunctionsPage 90Exercise 6.5Q1a,d,f,k(i),6Solutions in the Online Study Pack
Logarithmic DifferentiationPage 92Exercise 6.6Q1,Q2Solutions in the Online Study Pack
Parametric Equations - Finding Constraint EquationPage 95Exercise 6.7Q1a,b,cSolutions in the Online Study Pack
Parametric Eqns - Differentiation Page 96Exercise 6.8Q1,2,3Solutions in the Online Study Pack
Parametric Eqns - Differentiation (Alternative)Page 96Exercise 6.8Q1(i)Solutions in the Online Study Pack
Parametric Eqns - Differentiation (Alternative)Page 96Exercise 6.8Q1(ii),Q2,Q3Solutions in the Online Study Pack
Applications of Further DifferentiationPage 193Exercise 11.2Q1,Q2,Q3Solutions in the 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
__________________________
Handwritten Worked Solutions
________________________________
Integration using Inverse Trig FunctionsPage 111Exercise 7.6Q1,2,3,4a,bSolutions in the Online Study Pack
Integration using Partial FractionsPage 113Exercise 7.7Q1a,b,2a,b,3a,b,4a,b,5a,b,6a,bSolutions in the Online Study Pack
Integration by Parts - 1Page 116Exercise 7.8Q1a-l Solutions in the Online Study Pack
Integration by Parts - 2Page 116Exercise 7.8Q2a,c,d,e,f,g,hSolutions in the Online Study Pack
Integration by Parts - 3Page 116Exercise 7.8Q5a,b,Q6a,bSolutions in the Online Study Pack
Integration by Parts - Special Cases - 1Page 118Exercise 7.9 Q1a,b,c,dSolutions in the Online Study Pack
Integration by Parts - Special Cases - 2Page 118Exercise 7.9Q2a,b,c,d,eSolutions in the Online Study Pack
First Order Diff Eqns - General SolnPage 128Exercise 8.1Q1a-jSolutions in the Online Study Pack
First Order Diff Eqns - Particular SolnPage 128Exercise 8.1Q2a-gSolutions in the Online Study Pack
Differential Equations in ContextPage 131Exercise 8.2Q2,4,5,6Solutions in the 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
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Page Number
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Exercise
______________
Recommended Questions
______________________
Handwritten Worked Solutions
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Arithmetic with Complex NumbersPage 207Exercise 12.1Q1,2,3,6,7,8Solutions in the Online Study Pack
Division & Square Roots of Complex NosPage 209Exercise 12.2Q1a,b,c,2c,e,3a,b,f,5a,bSolutions in the Online Study Pack
Argand DiagramsPage 211Exercise 12.3Q3a,b,d,e,f,i,6a,b,f,7a,b,cSolutions in the Online Study Pack
Multiplying/Dividing in Polar FormPage 215Exercise 12.5Q1a,b,f,gSolutions in the Online Study Pack
De Moivre's TheoremPage 218Exercise 12.6Q1,2,3a,4g,h,i,jSolutions in the Online Study Pack
Polynomials & Complex NumbersPage 224Exercise 12.8Q2a,d,3a,b,4,5,6a,bSolutions in the Online Study Pack
Loci on the Complex PlanePage 213Exercise 12.4Q1a,b,d,f,j,3a,b,4a,b,cSolutions in the Online Study Pack
Expanding Trig FormulaPage 219Exercise 12.6Q5,6,7aSolutions in the Online Study Pack
Roots of a Complex NumberPage 222Exercise 12.7Q2a,b,c,d,e,f,1a(i)Solutions in the 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
_______________________
Handwritten Worked Solutions
_____________________________
Arithmetic SequencesPage 151Exercise 9.1Q1a-f,2a-f,Q3,Q4,Q6Solutions in the Online Study Pack
Finding Sum - Arithmetic SequencePage 153Exercise 9.2Q1a,b,c,Q3a-d,Q4a,b,Q5aSolutions in the Online Study Pack
Geometric SequencePage 156Exercise 9.3Q1a-e,Q2,Q3,Q5Solutions in the Online Study Pack
Finding Sum - Geometric SequencePage 159Exercise 9.4Q1a-f,Q2a-d,Q3a-d,Q4Solutions in the Online Study Pack
Finding Sum to InfinityPage 162Exercise 9.5Q1,2,3,4,6Solutions in the Online Study Pack
Sigma NotationPage 168Exercise 10.1Q1a-e,Q2a-eSolutions in the Online Study Pack

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Number Theory & Proof

Topic
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Lessons
__________
Questions
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Typed Solutions
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Handwritten Solutions
______________________
Exam Questions - Worked Solutions in Online Study Pack
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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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7. 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
_____________
Handwritten Worked Solutions
_____________________________
Higher Revision On VectorsPage 282Exercise 15.1Q6,7,8Solutions in the Online Study Pack
The Vector Product - 1Page 286Exercise 15.3Q1,2a,b,5,7,8a,b,10Lesson 1Solutions in the Online Study Pack
The Vector Product - 2Page 286Exercise 15.3Q3,4,6,12Lesson 2Solutions in the Online Study Pack
The Equations of a LinePage 298Exercise 15.8Q1a,b,2a,3a,c,e,5Lesson 3Solutions in the Online Study Pack
Vector Equation of a Straight LinePage 298Exercise 15.9Q2Lesson 3Solutions in the Online Study Pack
The Equation of a PlanePage 291Exercise 15.5Q1a,b,c,d,2a,b,3,4a,c,9,10Lesson 4Solutions in the Online Study Pack
Angle Between 2 PlanesPage 293Exercise 15.6Q1,2,3Lesson 5Solutions in the Online Study Pack
Intersection of Line & PlanePage 300Exercise 15.10Q1a,b,c,2a,b,3,4aLesson 6Solutions in the Online Study Pack
Intersection of 2 LinesPage 302Exercise 15.11 Q1,2Lesson 7Solutions in the Online Study Pack
Intersection of 2 Planes using GaussianPage 303Exercise 15.12Q1,2Lesson 8Solutions in the Online Study Pack
Intersection of 2 Planes - AlternativePage 303Exercise 15.12Q1,2Solutions in the Online Study Pack
Intersection of 3 PlanesPage 307Exercise 15.3Q1a,c,2a,cLesson 9Solutions in the 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
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Page Number
_____________
Exercise
______________
Recommended Questions
_________________________
Handwritten Worked Solutions
_____________________________
Basic Properties & Operations of MatricesPage 231Exercise 13.1Q1,2,3a,4a,c,e,i,p,t,7a,f,9,10Solutions in the Online Study Pack
Matrix MultiplicationPage 235Exercise 13.3Q1a,c,2a,c,k,m,o,3a,4,5a,cSolutions in the Online Study Pack
Properties of Matrix MultiplicationPage 236Exercise 13.4Q6a,b,7a,b,8aSolutions in the Online Study Pack
Determinant of a 2 x 2 MatrixPage 240Exercise 13.6Q1a,b,d,hSolutions in the Online Study Pack
Determinant of a 3 x 3 MatrixPage 247Exercise 13.9Q4a,b,c,d,5a,bSolutions in the Online Study Pack
Inverse of a 2 x 2 MatrixPage 243Exercise 13.7Q1,2,4,8,9a,b,cSolutions in the Online Study Pack
Inverse of a 3 x 3 MatrixPage 275Exercise 14.10Q1a,b,c,dSolutions in the Online Study Pack
Transformation MatricesPage 251Exercise 13.10Q1,2,5Solutions in the 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
_______________________
Handwritten Worked Solutions
_____________________________
Maclaurin Series for f(x)Page 179Exercise 10.5Q1a,b,c,d,3a,bSolutions in the Online Study Pack
Maclaurin Series - Composite FunctionsPage 182Exercise 10.7Q1a,f,2a,3a,6a,7a,8a,bSolutions in the Online Study Pack
Maclaurin Series - SQA QuestionsSQA Questions & AnswersSolutions in the 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
_____________________
Handwritten Worked Solutions
________________________________
1st Order Linear Differential EquationsPage 136Exercise 8.3Q1a,b,2a,3a,bSolutions in the Online Study Pack
2nd Order Differential Equations
(Roots Real & Distinct)
Page 140Exercise 8.4Q1a,b,c,2a,bSolutions in the Online Study Pack
2nd Order Differential Equations
(Roots Real & Coincident)
Page 141Exercise 8.5Q1a,b,c,2a,bSolutions in the Online Study Pack
2nd Order Differential Equations
(Roots Not Real)
Page 142Exercise 8.6Q1a,b,c,2a,bSolutions in the Online Study Pack
Non-Homogeneous Differential Equations
(Finding General Solution)
Page 146Exercise 8.9Q1a,b,cSolutions in the Online Study Pack
Non-Homogeneous Differential Equations
(Finding Particular Solution)
Page 146Exercise 8.9Q2a,b,cSolutions in the 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
_________________________
Handwritten 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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8. 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
_________
Handwritten Worked Solutions
_____________________________
Courtesy
__________________
1Binomial TheoremAnswersSolutions in the Online Study PackCourtesy of the SQA
2Complex NumbersAnswersSolutions in the Online Study PackCourtesy of the SQA
3DifferentiationAnswersSolutions in the Online Study PackCourtesy of the SQA
4Differentiation (Further)AnswersSolutions in the Online Study PackCourtesy of the SQA
5Differential Equations - Variables SeparableAnswersSolutions in the Online Study PackCourtesy of the SQA
6Differential Equations (Further)AnswersSolutions in the Online Study PackCourtesy of the SQA
7Functions & GraphsAnswersSolutions in the Online Study PackCourtesy of the SQA
8IntegrationAnswersSolutions in the Online Study PackCourtesy of the SQA
9Integration (Further)AnswersSolutions in the Online Study PackCourtesy of the SQA
10MatricesAnswersSolutions in the Online Study PackCourtesy of the SQA
11Number Theory - Methods of ProofAnswersSolutions in the Online Study PackCourtesy of the SQA
12Number Theory (Further) - Euclidean & Number BasesAnswersSolutions in the Online Study PackCourtesy of the SQA
13Partial FractionsAnswersSolutions in the Online Study PackCourtesy of the SQA
14Sequences & SeriesAnswersSolutions in the Online Study PackCourtesy of the SQA
15 Sequences & Series - Maclaurin AnswersSolutions in the Online Study PackCourtesy of the SQA
16Systems of EquationsAnswersSolutions in the Online Study PackCourtesy of the SQA
17VectorsAnswersSolutions in the Online Study PackCourtesy of the SQA

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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.

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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
________
Handwritten Worked Solutions
_____________________________
Courtesy
________________________________
Practice Exam Paper 1HERESolutions in the Online Study PackCourtesy to the author(s) and the SQA
Practice Exam Paper 2HERESolutions in the Online Study PackCourtesy to the author(s) and the SQA
Practice Exam Paper 3HERESolutions in the Online Study PackCourtesy to the author(s) and the SQA
Practice Exam Paper 4HERESolutions in the Online Study PackCourtesy to the author(s) and the SQA
Practice Exam Paper 5HERESolutions in the Online Study PackCourtesy to the author(s) and the SQA
Practice Exam Paper 6HERECourtesy to the author(s) and the SQA
Practice Exam Paper 7HERECourtesy to the author(s) and the SQA
Practice Exam Paper 8HERECourtesy to the author(s) and the SQA

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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 the SQA
SQA Higher Maths Exam Formulae ListHERECourtesy of the SQA
SQA AH Maths Support NotesHERECourtesy of the 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. 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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16. 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 2025.

Covers the whole of the AH Maths course

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Resources used with students in Scottish Secondary Schools

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