Unsure about the Sine Rule?

Unsure about the Sine Rule?

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Covers the whole of the Higher Maths course

Created by an experienced maths teacher

Resources used with students in Scottish Secondary Schools

The Sine Rule

Welcome to highermathematics.co.uk

A sound understanding of the Sine Rule is essential to ensure exam success.

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

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

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

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

1. About the Sine Rule

2. Trigonometry – Worksheets

3. Trigonometry – Videos, Theory Guides & Mind Maps

4. Higher Maths Essential Skills 

5. Higher Maths Exam Worksheets by Topic

6. Higher Maths Past & Practice Papers by Topic 

7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets 

8. Higher Maths Past & Practice Papers 

9. 40 Non-Calculator Higher Maths Questions & Answers

10. 200 Higher Maths Questions & Answers 

11. Practice Exam Papers A to H – Answers Included

12. 264 SQA Exam Multiple Choice Questions & Answers

13. Higher Maths Exam Check Lists 

14. Old Higher Maths Exam Questions by Topic

15. Higher Maths Text Book Solutions

16. Higher Maths Theory Guides 

17. Higher Maths Mind Maps 

18. Higher Maths Practice Unit Assessments – Solutions Included

19. Higher Maths Past Paper Video Solutions

20. Higher Maths Recommended Text Book

21. Exam Focused Online Study Pack – For students looking for a ‘good’ Pass

 

Higher Maths Resources

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1. About the Sine Rule 

For a more detailed explanation, please click on the attached N5 Maths Sine Rule link where you will find Theory Guides and worksheets.

Sine Rule

  • Is not only for right angled triangles
  • Can be used in any triangle
  • Deals with opposite sides and angles
  • Is NOT given in the Higher Maths Exam – please memorise it

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You need to know how to

  •  Label the sides of the triangle correctly
  •  Substitute into the formula correctly
  •  Use the formula to find lengths and angles
  •  For further practice/worksheets please click on our N5 Maths website Sine Rule link HERE.

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2. Trigonometry – Worksheets

Thanks to the SQA and authors for making the excellent resources below 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 all worksheets below are available in the Online Study Pack.

Worksheets
__________________________________
Topic
_______________________________
Answers/Worked Solutions
___________________________________________________________
Heinemann Book - Trig Graphs & EquationsEx 4A, 4B, 4C, 4E, 4H, 4I, 4JAnswers on Links
Heinemann Book - Addition FormulaeEx 11B, 11C, 11D, 11E, 11F, 11G, 11H, 11JAnswers on Links
Heinemann Book - Further CalculusEx 14B, 14C, 14E, 14G, 14H, 14I, 14J, 14KAnswers on Links
Heinemann Book - Wave FunctionEx 16A, 16C, 16D, 16E, 16F, 16G, 16HAnswers on Links
Essential Skills Exam Practice 5Trigonometry Answers
Essential Skills Exam Practice 7Wave FunctionAnswers
Essential Skills 11Trig FormulaAnswers
Essential Skills 12Related AnglesAnswers
Essential Skills 13Trig Equations (Double Angle Formula)Answers
Essential Skills 16The Wave FunctionAnswers
Essential Skills 19Proving Trig IdentitiesAnswers
Essential Skills 25Sine Rule (N5 Maths)Answers
Essential Skills 26Cosine Rule (N5 Maths)Answers
Grade Booster Paper 8Wave FunctionAnswers
Grade Booster Paper 10Trig Equations with Double AnglesAnswers
Worksheets 1Graphs of Trig Functions
Worksheets 2Trig Functions - Period & Amplitude
Higher Exam Questions - RecommendedAddition Formulae (2000 - 2019)Answers Included on Worksheet
Higher Exam Questions - RecommendedFurther Calculus (2000 - 2019)Answers Included on Worksheet
Higher Exam Questions - RecommendedTrigonometry 1 (2000 - 2015)Answers Included on Worsksheet
Higher Exam QuestionsTrigonometry 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Question - RecommendedTrig Addition Formulae 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam QuestionsTrig Addition Formula 2 (Old Higher)Answes Included on Worksheet
Higher Exam QuestionsTrig Graphs & Eqns 3 (Old Higher)Answers Included on Worksheet
Higher Exam QuestionsTrig Formulae & Equations 4Answers
Higher Exam QuestionsTrig Formulae & Equations 5Answers
Higher Exam Questions - RecommendedWave Function 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam QuestionsWave Function 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam QuestionsWave Function 3 (Old Higher)Answes Included on Worksheet
Higher Exam QuestionsWave Function 4Answers
Exam Check List 1Addition Formulae
Exam Check List 13Trig Graphs & Equations
Exam Check List 15Wave Function

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3. Trigonometry – Videos, Theory Guides & Mind Maps

Thanks to the authors for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam.

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

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4. Higher Maths Essential Skills 

Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used for general revision, homework, consolidation of a topic or preparation for assessments, tests and exams. Clear, easy to follow, step-by-step worked solutions to all 33 Essential Skills worksheets below are available in the Online Study Pack.

Essential Skills
__________________
Topic
________________________________
Answers/Solutions
___________________
Essential Skills
_______________
Topic
_________________________
Answers
___________
Exam Practice BookletExam Practice Booklet, With AnswersAnswersEssential Skills 17Graphs of Derived FunctionsAnswers
Essential Skills 1Median of a TriangleStudy Pack ExemplarEssential Skills 18Logarithmic EquationsAnswers
Essential Skills 2Perpendicular BisectorsAnswersEssential Skills 19Proving Trig IdentitiesAnswers
Essential Skills 3Altitude of a TriangleAnswersEssential Skills 20Related GraphsAnswers
Essential Skills 4Equation of a Tangent to a CurveStudy Pack ExemplarEssential Skills 21Scalar ProductAnswers
Essential Skills 5Stationary PointsAnswersEssential Skills 22Further DifferentiationAnswers
Essential Skills 6Quadratic InequalitiesAnswersEssential Skills 23Further IntegrationAnswers
Essential Skills 7Completing the SquareAnswersEssential Skills 24Recurrence: Consecutive TermsAnswers
Essential Skills 8Tangent to a CircleStudy Pack ExemplarEssential Skills 25Differential EquationsAnswers
Essential Skills 9Intersection of Lines & CirclesAnswersEssential Skills 26Definite IntegralsAnswers
Essential Skills 10Section FormulaAnswersEssential Skills 27Composite FunctionsAnswers
Essential Skills 11Trig FormulaAnswersEssential Skills 28Inverse FunctionsAnswers
Essential Skills 12Related AnglesStudy Pack ExemplarEssential Skills 29Angle between Line & x-axisAnswers
Essential Skills 13Trig Equations (Double Angle Formula)AnswersEssential Skills 30Angle between VectorsAnswers
Essential Skills 14Synthetic DivisionAnswersEssential Skills 31Natural LogarithmsAnswers
Essential Skills 15Limit of a Recurrence RelationAnswersEssential Skills 32Logs: Connecting 2 VariablesAnswers
Essential Skills 16The Wave FunctionAnswersEssential Skills 33Using the DiscriminantAnswers

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5. Higher Maths Exam Worksheets by Topic

Thanks to the SQA and authors for making the excellent resources below freely available. The worksheets by topic are a fantastic study resource since they are actual past paper exam questions. Clear, easy to follow, step-by-step worked solutions to all new CfE Higher Maths Questions below are available in the Online Study Pack.

Higher Exam Worksheets
____________________________________
Worksheet - Without Answers
______________________________________
Worksheet - With Answers
___________________________________________________________
Higher Exam Worksheet 1 - RecommendedAddition Formulae (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 2 - RecommendedCircles 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 3Circles 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 4Circles 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 5Circles 4Answers
Higher Exam Worksheet 6 - RecommendedDifferentiation 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 7Differentiation 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 8Differentiation 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 9Differentiation 4Answers
Higher Exam Worksheet 10Differentiation 5Answers
Higher Exam Worksheet 11Differentiation 6 (Optimisation)Answers
Higher Exam Worksheet 12 - RecommendedExponentials & Logs 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 13Exponentials & Logs 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 14Exponentials & Logs 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 15Exponentials & Logs 4Answers
Higher Exam Worksheet 16Functions 1 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 17Functions 2Answers
Higher Exam Worksheet 18 - RecommendedFunctions & Sets (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 19Functions & Graphs 1 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 20Functions & Graphs 2Answers
Higher Exam Worksheet 21 - RecommendedFurther Calculus 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 22Further Calculus 2 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 23Further Calculus 3Answers
Higher Exam Worksheet 24 - RecommendedGraphs of Functions 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 25Graphs of Functions 2 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 26Graphs of Functions 3Answers
Higher Exam Worksheet 27 - RecommendedIntegration 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 28Integration 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 29Integration 3 (Old Higher)Answes Included on Worksheet
Higher Exam Worksheet 30Integration 4Answers
Higher Exam Worksheet 31Integration 5Answers
Higher Exam Worksheet 32Integration 6 - Area under a CurveAnswers
Higher Exam Worksheet 33 - RecommendedPolynomials 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 34Polynomials 2 (Old Higher)Answes Included on Worksheet
Higher Exam Worksheet 35Polynomials 3Answers
Higher Exam Worksheet 36Polynomials & Quadratics 1 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 37Polynomials & Quadratics 2
Answers
Higher Exam Worksheet 38 - RecommendedQuadratics 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 39Quadratics 2 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 40Quadratics 3Answers
Higher Exam Worksheet 41 - RecommendedRecurrence Relations 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 42Recurrence Relations 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 43Recurrence Relations 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 44Recurrence Relations 4Answers
Higher Exam Worksheet 45Recurrence Relations 5Answers
Higher Exam Worksheet 46 - RecommendedSets & Functions (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 47 - RecommendedStraight Lines 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 48Straight Lines 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 49Straight Lines 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 50Straight Lines 4Answers
Higher Exam Worksheet 51Straight Lines 5 Answers
Higher Exam Worksheet 52Straight Lines 6 (Multiple Choice)
Higher Exam Worksheet 53 - RecommendedTrigonometry 1 (2000 - 2015)Answers Included on Worsksheet
Higher Exam Worksheet 54Trigonometry 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 55 - RecommendedTrig Addition Formulae 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 56Trig Addition Formulae 2 (Old Higher)Answes Included on Worksheet
Higher Exam Worksheet 57Trig Graphs & Eqns (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 58Trig Formulae & Equations 1Answers
Higher Exam Worksheet 59Trig Formulae & Equations 2Answers
Higher Exam Worksheet 60 - RecommendedVectors 1 (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 61Vectors 2 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 62Vectors 3 (Old Higher)Answers Included on Worksheet
Higher Exam Worksheet 63Vectors 4Answers
Higher Exam Worksheet 64Wave Function 1 (2000 - 2013)For answers refer to Marking Schemes on SQA Past Paper Link HERE
Higher Exam Worksheet 65 - RecommendedWave Function (2000 - 2019)Answers Included on Worksheet
Higher Exam Worksheet 66Wave Function 2 (Old Higher)Answes Included on Worksheet
Higher Exam Worksheet 67Wave Function 3Answers
Higher Maths Ultimate Revision GuideWhole BookletAnswers Included on Revision Guide
Prelim Revision SpecialPrelim Revision SpecialAnswers

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6. Higher Maths Past & Practice Papers by Topic

Thanks to the SQA for making the excellent resources below freely 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 questions below are available in the Online Study Pack.

.
Paper
_____________
.
Marking
__________
.
Circles
______
Differentiation
& Optimisation
____________
Exp's
& Logs
________
Functions
& Graphs
_________
Further
Calculus
________
.
Integration
_________
Polynomials
& Quadratics
____________
Recurrence
Relations
__________
Straight
Lines
_________
Trig Formulae
& Equations
____________
.
Vectors
________
Wave
Function
_________
2019 P1Marking P1Q3,16Q1Q14Q10,12Q6,11,17bQ8Q2Q4Q5,7Q13,15,17aQ9
2019 P2Marking P2Q15Q7b,11Q9,12Q5,8Q2,13Q7,10Q4Q1Q6bQ3,14Q6a
2018 P1Marking P1Q4Q6,11Q2,11,15Q3,14Q10Q7Q1,8Q13Q5,9,12
2018 P2Marking P2Q5c,12Q3,9Q11Q6Q1Q4,7a,107b,cQ5a,bQ2Q8
2017 P1Marking P1Q2Q8,15cQ12Q1,6,15aQ3,13Q10,15bQ4Q9Q7,11Q5Q14
2017 P2Marking P2Q3,10Q4,7Q9Q2Q8Q1Q6,11Q5
2016 P1Marking P1Q4,8Q2,9Q14Q6,10,12Q5Q15Q3Q1Q13Q7,11
2016 P2Marking P2Q4Q7Q6Q10,11b3b,9Q2,3aQ1Q8b,11aQ5Q8a
2015 P1Marking P1Q11,14Q2,7Q6Q4,5,13Q12,15Q3,8Q9Q10Q1
2015 P2Marking P2Q5Q8Q2Q7aQ4Q3Q1Q7bQ6Q9
Specimen P1Marking P1Q11Q8Q10Q1Q4,7Q2,5,9Q6,12Q3
Specimen P2Marking P2Q5Q3b,8Q4,7Q9Q3aQ2Q1,6Q10
Exemplar P1Marking P1Q1Q8,11Q10Q3Q2,5Q6Q4,7Q9
Exemplar P2Marking P2Q2Q9,10Q7Q8Q4Q3Q1Q5,6

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7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets

Dozens of Higher Maths Videos provide quality lessons by topic. Also included are excellent Theory Guides, Mind Maps and Revision Worksheets with actual Higher Maths exam questions. Please click on our new Higher Maths Videos & Worksheets by topic dedicated page.

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8. Higher Maths Past & Practice Papers

Thanks to the SQA for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all CfE Higher Papers below are available in the Online Study Pack.

Year
__________
Paper Type
_________________________________
Exam Paper
______________
Marking Scheme
________________________________
2019Higher (CfE)Exam PaperMarking Scheme
2018Higher (CfE)Exam PaperMarking Scheme
2018 Specimen (CfE)Paper 1, Paper 2Marking Scheme
2017Higher (CfE)Exam PaperMarking Scheme
2016Higher (CfE)Exam PaperMarking Scheme
2015Higher (CfE)Exam PaperMarking Scheme
2015Specimen (CfE)Specimen PaperMarking Scheme
2015Exemplar (CfE)Exemplar PaperMarking Scheme
2015Higher (Old)Exam PaperMarking Scheme
2014HigherExam PaperMarking Scheme
2013HigherExam PaperMarking Scheme
2012HigherExam PaperMarking Scheme
2011HigherExam PaperMarking Scheme
2010HigherExam PaperMarking Scheme
2009HigherExam PaperMarking Scheme
2008HigherExam PaperMarking Scheme
2007HigherExam PaperMarking Scheme
2006HigherExam PaperMarking Scheme
2005HigherExam PaperMarking Scheme
2004HigherExam PaperMarking Scheme
2003HigherExam Paper Marking Scheme
2002HigherExam PaperMarking Scheme
2002Higher (Winter Diet)Exam Paper
2001HigherExam PaperSolutions
2000 - 2019Higher Maths Ultimate Revision GuideWhole BookletAnswers Included on Revision Guide

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9. 40 Non-Calculator Higher Maths Questions & Answers

Thanks to the SQA and authors for making the excellent resources below freely available. Start with these questions to help build your confidence. Once finished, you may like to move onto the 200 Higher Maths Exam Questions in the next section checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 40 questions below are available in the Online Study Pack.

Exam Questions
_______________________
Answers
__________
Worked Solutions to all 40 SQA Questions in the exam focused Online Study Pack
________________________________________________________________
Sheet A - 10 QuestionsAnswersEnsure success in 2022 with the Higher Maths Online Study Pack
Sheet B - 10 QuestionsAnswersEnsure success in 2022 with the Higher Maths Online Study Pack
Sheet C - 10 QuestionsAnswersEnsure success in 2022 with the Higher Maths Online Study Pack
Sheet D - 10 QuestionsAnswersEnsure success in 2022 with the Higher Maths Online Study Pack
Whole Booklet for PrintingAnswersEnsure success in 2022 with the Higher Maths Online Study Pack

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10. 200 Higher Maths Questions & Answers

Thanks to the SQA and authors for making the excellent resources below freely available. Please try to do as many questions as possible, checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 200 questions below are available in the Online Study Pack.

Worksheet
______________
Exam Questions
_____________________
Answers
___________
Worksheet 1Exam Questions 1 - 20Answers
Worksheet 2Exam Questions 21 - 40Answers
Worksheet 3Exam Questions 41 - 60Answers
Worksheet 4Exam Questions 61 - 80Answers
Worksheet 5Exam Questions 81 - 100Answers
Worksheet 6Exam Questions 101 - 120Answers
Worksheet 7Exam Questions 121 - 140Answers
Worksheet 8Exam Questions 141 - 160Answers
Worksheet 9Exam Questions 161 - 180Answers
Worksheet 10Exam Questions 181 - 200Answers
Whole BookletWhole Booklet for PrintingAnswers

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11. Practice Exam Papers A to H – Answers Included

Thanks to the SQA and Larkhall Academy for making the excellent resources below 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 Practice Papers A to E are available in the Online Study Pack.

Practice Paper
_____________
Paper 1
_____________
Paper 2
_____________
Papers 1 & 2
_____________________
Answers
_____________
Paper APaper 1Paper 2Papers 1 & 2Answers
Paper BPaper 1Paper 2Papers 1 & 2Answers
Paper CPaper 1Paper 2Papers 1 & 2Answers
Paper DPaper 1Paper 2Papers 1 & 2Answers
Paper EPaper 1Paper 2Papers 1 & 2Answers
Paper FPaper 1Paper 2Papers 1 & 2Answers
Paper GPaper 1Paper 2Papers 1 & 2Answers
Paper HPaper 1Paper 2Papers 1 & 2Answers
Prelim SpecialQuestionsQuestions & AnswersAnswers
Prelim SpecialX-Mas ThemeQuestions & AnswersAnswers

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12. 264 SQA Exam Multiple Choice Questions & Answers 

Thanks to the SQA and authors for making the excellent resources below freely available. Multiple choice are primarily C level questions and a great place to start your revision. If stuck, always ask your teacher for help as soon as possible.

Questions
__________
Year
______
Exam Multiple Choice
__________________
Exam Multiple Choice
__________________
Exam Multiple Choice
__________________
1 - 202015Questions OnlyQuestions & AnswersAnswers Only
21 - 402014Questions OnlyQuestions & AnswersAnswers Only
41 - 602013Questions OnlyQuestions & AnswersAnswers Only
61 - 802012Questions OnlyQuestions & AnswersAnswers Only
81 - 1002011Questions OnlyQuestions & AnswersAnswers Only
101 - 1202010Questions OnlyQuestions & AnswersAnswers Only
121 - 264MixedQuestions OnlyQuestions & AnswersAnswers Only

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13. Higher Maths Exam Check Lists

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

Check List
______________
Topic
______________________
Check List
______________
Topic
____________________________
Check List 1Addition FormulaeCheck List 13Trig Graphs & Equations
Check List 2CirclesCheck List 14Vectors
Check List 3DifferentiationCheck List 15Wave Function
Check List 4Exponentials & LogsCheck List 16Whole Course - Free Higher Maths
Check List 5Further Calculus Check List 17Whole Course - Zeta Maths
Check List 6Graphs of FunctionsCheck List 18Trig Revision Sheet
Check List 7IntegrationCheck List 19HSN Unit 1 - One Page Summary
Check List 8PolynomialsCheck List 20HSN Unit 2 - One Page Summary
Check List 9QuadraticsCheck List 21HSN Unit 3 - One Page Summary
Check List 10Recurrence RelationsCheck List 22Formulas not given in Exam
Check List 11Straight LinesCheck List 23SQA Formula Sheet
Check List 12Sets & FunctionsCheck List 24Course Description

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14. Old Higher Maths Exam Questions by Topic

Thanks to the SQA for making the excellent resources below freely available. The worksheets by topic are a fantastic additional study resource.

Topic
________
Topic Name
___________________________
Link
________
Notes
___________________
Topic 1CirclesHEREAnswers Included
Topic 2DifferentiationHEREAnswers Included
Topic 3Exponentials & LogarithmsHEREAnswers Included
Topic 4FunctionsHEREAnswers Included
Topic 5Further CalculusHEREAnswers Included
Topic 6Graphs of FunctionsHEREAnswers Included
Topic 7IntegrationHEREAnswers Included
Topic 8PolynomialsHEREAnswers Included
Topic 9QuadraticsHEREAnswers Included
Topic 10Recurrence RelationsHEREAnswers Included
Topic 11Straight LineHEREAnswers Included
Topic 12Trig Addition FormulaeHEREAnswers Included
Topic 13Trig Graphs & EquationsHEREAnswers Included
Topic 14VectorsHEREAnswers Included
Topic 15Wave FunctionHEREAnswers Included

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15. Higher Maths Text Book Solutions 

Thanks to the AHS for providing the Heinemann Higher Maths text book solutions below. These will prove extremely useful in helping to progress your Higher Maths knowledge. Please note that there may be the odd arithmetic error.

Topic
_________________________
Topic Name
_______________________
Topic Check List
_____________
Topic 1 - Updated SolutionsStraight LinesCheck List1A1B1D1E1F1G1I1K1M1N1O
Topic 2 - Updated SolutionsSets & FunctionsCheck List2A2B2C2D2F2G2H2I
Topic 3 - Updated SolutionsGraphs of FunctionsCheck List3A3C3E3G3I3K3M3N3O3P
Topic 4 - Updated SolutionsTrig Graphs & EquationsCheck List4A4B4C4E4H4I4J
Topic 5 - Not in 2021/22Recurrence RelationsCheck List5A5B5B5C5D5F5H5I
Topic 6 - Updated SolutionsDifferentiationCheck List6C6D6E6F6G6H6I6J6L6M6N6O6P6Q6R6S
Topic 7 - Updated SolutionsPolynomialsCheck List7B7C7D7E7F7G7H7I7K
Topic 8 - Updated SolutionsQuadraticsCheck List8C8D8E8F8I8J8K
Topic 9 - Updated SolutionsIntegrationCheck List9G9H9I9L9N9P9Q9R
Topic 10 - Updated SolutionsAddition FormulaeCheck List11B11C11D11E11F11G11H11J
Topic 11 - Updated SolutionsCirclesCheck List12B12D12F12H12J12K12L
Topic 12 - Not in 2021/22VectorsCheck List13A13C13D13E13F13G13I13K13L13M13N13O13P13Q13R13S13U
Topic 13 - Updated SolutionsFurther Calculus Check List14B14C14E14G14H14I14J14K
Topic 14 - Updated SolutionsExponentials & LogsCheck List15C15D15E15F15G15H15I15J15K15L
Topic 15 - Updated SolutionsWave FunctionCheck List16A16C16D16E16F16G16H

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16. Higher Maths Theory Guides 

Thanks to HSN for making the excellent Higher Maths Theory Guides freely available for all to use. These will prove a fantastic resource in helping you consolidate your understanding of Higher Maths.

Theory Guides
_________________
Topic
____________________________________________
Link
_______
Theory Guide 1All Topics Unit 1 Theory (HSN)HERE
Theory Guide 2All Topics Unit 1 - One Page Summary Guide (HSN)HERE
Theory Guide 3All Topics Unit 2 Theory (HSN)HERE
Theory Guide 4All Topics Unit 2 - One Page Summary Guide (HSN)HERE
Theory Guide 5All Topics Unit 3 Theory (HSN)HERE
Theory Guide 6All Topics Unit 3 - One Page Summary Guide (HSN)HERE
Theory Guide 7All Topics Units 1,2 & 3 Theory (HSN)HERE
Theory Guide 8Circles Theory (HSN)HERE
Theory Guide 9Differentiation Theory (HSN)HERE
Theory Guide 10Exponentials & Logarithms Theory (HSN)HERE
Theory Guide 11Functions & Graphs Theory (HSN)HERE
Theory Guide 12Further Calculus Theory (HSN)HERE
Theory Guide 13Graphs Transformations Theory (Movement & Reflection)HERE
Theory Guide 14Graphs Transformations Summary SheetHERE
Theory Guide 15Integration Theory (HSN)HERE
Theory Guide 16Polynomials & Quadratics Theory (HSN)HERE
Theory Guide 17Sequences Theory (HSN)HERE
Theory Guide 18Straight Line Theory (HSN)HERE
Theory Guide 19Trigonometry Theory (HSN)HERE
Theory Guide 19Vectors Theory (HSN)HERE
Theory Guide 20Wave Function Theory (HSN)HERE

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17. Higher Maths Mind Maps

Thanks to the authors for providing the excellent resources below. These will prove a fantastic resource in helping you prepare for assessments, tests and the final exam.

Mind Map
____________
Topic
____________________________
Mind Map
___________
Topic
____________________________
Mind Map 1Circle 1 Mind Map 16Polynomials & Quadratics
Mind Map 2Circle 2Mind Map 17Polynomials
Mind Map 3Composite FunctionsMind Map 18Quadratics
Mind Map 4Compound Angle FormulaMind Map 19Recurrence Relations 1
Mind Map 5Differentiation (Preparing For)Mind Map 20Recurrence Relations 2
Mind Map 6Differentiation 1Mind Map 21Straight Lines 1
Mind Map 7Differentiation 2Mind Map 22Straight Lines 2
Mind Map 8Differentiation (Further)Mind Map 23Trigonometry 1
Mind Map 9Functions & GraphsMind Map 24Trigonometry 2
Mind Map 10Graph TransformationsMind Map 25Vectors 1
Mind Map 11Integration (Preparing For)Mind Map 26Vectors 2
Mind Map 12Integration 1Mind Map 27Vectors 3
Mind Map 13Integration 2Mind Map 28Wave Function 1
Mind Map 14Logs & Exponentials 1Mind Map 29Wave Function 2
Mind Map 15Logs & Exponentials 2

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18. Higher Maths Practice Unit Assessments – Solutions Included

Thanks to the authors for making the excellent resources below freely available for all to use. Please use regularly for revision prior to assessments, tests and the final exam.

Unit
_________
Paper
____________
Solutions
___________
Unit OnePractice ASolutions
Unit OnePractice BSolutions
Unit TwoPractice ASolutions
Unit TwoPractice BSolutions
Unit ThreePractice ASolutions
Unit ThreePractice BSolutions
Unit FourPractice ASolutions

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19. Higher Maths Past Paper Video Solutions

Please click DLB Maths to view Higher Maths Past Paper video solutions. This will prove an excellent resource in helping you prepare for assessments, tests and the final exam.

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20. Higher Maths Recommended Text Book

Please find below our highly recommended text book which can be ordered by clicking on the book/link.

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21. 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 the Sine Rule to pass your final exam.

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

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

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

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    Your material really helped me focus my study efforts for the exam.

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  • Just a HUGE thank you from me – I’ve been teaching Higher Maths for about 20 years and your site has made this so much easier. Having topic by topic past paper questions, HSN notes and SQA papers all on one site is wonderful. So easy just to direct students to your amazing site! – Thank you.

    Karen – March 2018

  • Firstly, I wanted to say the materials on the new website are great.

    I have just had my Prelim at Fife College for my Higher Maths evening class. It has highlighted the need to do loads of past papers before the exam. I found the worked solutions provided for the past papers in the Online Study Pack so much more helpful than the marking schemes.

    Mike – March 2018

  • The Higher Maths website is great – only £9.99 is such good value for what you get. I am feeling a lot more confident for the exam now!

    John – March 2018

Not just Sine Rule, but 70 other maths concepts covered in detail

Topic Links

Free resources to dozens of Higher Maths topics are available by clicking on any of the links to the right.

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