Let the fantastic wealth of resources below teach you all about Perpendicular Bisectors.
Covers the whole of the Higher Maths course
Created by an experienced maths teacher
Resources used with students in Scottish Secondary Schools
Welcome to highermathematics.co.uk
A sound understanding of Perpendicular Bisectors 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 2024. Please find below:
1. Straight Lines – Worksheets
2. About Perpendicular Bisectors
3. Straight Lines – 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
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
1. Straight Lines – 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.
| Notes
__________________ |
Higher Worksheets
__________________________ |
Worksheet
_________________________________ |
Without Answers
________________ |
Notes/Comments
_____________________ |
Courtesy
______________________ |
| Straight Line Theory (HSN) | Straight Line Theory (HSN) | Recommended | Courtesy of HSN | ||
| Text Book Solutions | Heinemann Book – Straight Line | Ex 1A, 1B, 1D, 1E, 1F, 1G, 1I, 1K, 1M, 1N, 1O | Answers on Links | ||
| Essential Skills Exam Practice 1 | Straight Line | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 1 | Median of a Triangle | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 2 | Perpendicular Bisectors | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 3 | Altitude of a Triangle | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 4 | Equation of a Tangent to a Curve | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 9 | Intersection of Lines & Circles | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Essential Skills 29 | Angle between Line & x-axis | Without Answers | Answers Only | Courtesy of Mr G Rennie | |
| Grade Booster Paper 5 | Straight Lines | Without Answers | |||
| 2023 Included! | Exam Worksheet 1 | Straight Lines 1 (2000 – 2023) | Without Answers | Recommended | Courtesy of the SQA |
| Exam Worksheet 2 | Straight Lines 2 (2000 – 2019) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 3 | Straight Lines 3 (2015 – 2019) | Without Answers | Courtesy of the SQA | ||
| 54 SQA Questions | Exam Worksheet 4 | Straight Lines 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 5 | Straight Lines 5 (Old Higher) | Without Answers | Courtesy of the SQA | ||
| Exam Worksheet 6 | Straight Lines 6 (2000 – 2013) | SQA Marking Schemes | Courtesy of the SQA | ||
| Exam Worksheet 7 | Straight Lines 7 (Multiple Choice) | SQA Marking Schemes | Courtesy of the SQA | ||
| Worksheets 1 & 2 | Gradients of Perpendicular Lines 1, 2 | ||||
| Codebreaker | Worksheet 3 | Codebreaker – Distance Formula | Without Answers | ||
| Worksheet 4 | Distance Formula | ||||
| Exam Check List 11 | Straight Lines |
.
2. About Perpendicular Bisectors
To learn about Perpendicular Bisectors please click on the Straight Line Theory Guide (HSN) link and read from page 13. Please also find in Sections 2 & 3 below videos, mind maps (see under Straight Lines) and worksheets on this topic to help your understanding. The Essential Skills 2 worksheet, along with worksheets including actual SQA Exam Questions, are highly recommended. Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.
If you would like more help understanding Perpendicular Bisectors there are full, easy to follow, step-by-step worked solutions to dozens of Higher Maths Past & Practice exam questions on all topics in the Online Study Pack.
Perpendicular Bisectors
3. Straight Lines – 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 Video
___________________ |
HSN Theory Guide
_______________________ |
Mind Maps
__________________ |
| Altitudes | Straight Lines | Straight Line Theory (HSN) | Straight Lines (HSN) |
| Collinearity | Straight Lines 1 | ||
| Distance between Points | Straight Lines 2 | ||
| Equation of a Line | |||
| Gradient Revision | |||
| Gradient from an Angle | |||
| Medians | |||
| Midpoints | |||
| Perpendicular Bisectors | |||
| Perpendicular Gradients | |||
| Points of Intersection |
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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 Included
______________________________ |
Without Answers
________________ |
Answers Only
______________ |
| Essential Skills 1 | Median of a Triangle | Without Answers | Answers Only |
| Essential Skills 2 | Perpendicular Bisectors | Without Answers | Answers Only |
| Essential Skills 3 | Altitude of a Triangle | Without Answers | Answers Only |
| Essential Skills 4 | Equation of a Tangent to a Curve | Without Answers | Answers Only |
| Essential Skills 5 | Stationary Points | Without Answers | Answers Only |
| Essential Skills 6 | Quadratic Inequalities | Without Answers | Answers Only |
| Essential Skills 7 | Completing the Square | Without Answers | Answers Only |
| Essential Skills 8 | Tangent to a Circle | Without Answers | Answers Only |
| Essential Skills 9 | Intersection of Lines & Circles | Without Answers | Answers Only |
| Essential Skills 10 | Section Formula | Without Answers | Answers Only |
| Essential Skills 11 | Trig Formula | Without Answers | Answers Only |
| Essential Skills 12 | Related Angles | Without Answers | Answers Only |
| Essential Skills 13 | Trig Equations (Double Angle Formula) | Without Answers | Answers Only |
| Essential Skills 14 | Synthetic Division | Without Answers | Answers Only |
| Essential Skills 15 | Limit of a Recurrence Relation | Without Answers | Answers Only |
| Essential Skills 16 | The Wave Function | Without Answers | Answers Only |
| Essential Skills 17 | Graphs of Derived Functions | Without Answers | Answers Only |
| Essential Skills 18 | Logarithmic Equations | Without Answers | Answers Only |
| Essential Skills 19 | Proving Trig Identities | Without Answers | Answers Only |
| Essential Skills 20 | Related Graphs | Without Answers | Answers Only |
| Essential Skills 21 | Scalar Product | Without Answers | Answers Only |
| Essential Skills 22 | Further Differentiation | Without Answers | Answers Only |
| Essential Skills 23 | Further Integration | Without Answers | Answers Only |
| Essential Skills 24 | Recurrence: Consecutive Terms | Without Answers | Answers Only |
| Essential Skills 25 | Differential Equations | Without Answers | Answers Only |
| Essential Skills 26 | Definite Integrals | Without Answers | Answers Only |
| Essential Skills 27 | Composite Functions | Without Answers | Answers Only |
| Essential Skills 28 | Inverse Functions | Without Answers | Answers Only |
| Essential Skills 29 | Angle between Line & x-axis | Without Answers | Answers Only |
| Essential Skills 30 | Angle between Vectors | Without Answers | Answers Only |
| Essential Skills 31 | Natural Logarithms | Without Answers | Answers Only |
| Essential Skills 32 | Logs: Connecting 2 Variables | Without Answers | Answers Only |
| Essential Skills 33 | Using the Discriminant | Without Answers | Answers Only |
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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.
| Note
_____________ |
Worksheets
_________________ |
Worksheet Topic
__________________________________ |
Without Answers
___________________ |
Comments
_________________________ |
| 2023 Included! | Exam Worksheet 1 | Addition Formulae & Trig (2000 – 2023) | Without Answers | Recommended |
| 2023 Included! | Exam Worksheet 2 | Circles 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 3 | Circles 2 (2000 – 2013) | Without Answers | ||
| Exam Worksheet 4 | Circles 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 5 | Circles 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 6 | Circles 5 | Without Answers | Multiple Choice Included! | |
| 2023 Included! | Exam Worksheet 7 | Differentiation 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 8 | Differentiation 2 | Without Answers | ||
| Exam Worksheet 9 | Differentiation 3 | Without Answers | ||
| Exam Worksheet 10 | Differentiation 4 (Optimisation) | Without Answers | ||
| Exam Worksheet 11 | Differentiation 5 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 12 | Differentiation 6 (Old Higher) | Without Answers | ||
| Exam Worksheet 13 | Differentiation 7 (2000 – 2013) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 14 | Exponentials & Logs 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 15 | Exponentials & Logs 2 (2010 – 2019) | Without Answers | ||
| Exam Worksheet 16 | Exponentials & Logs 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 17 | Exponentials & Logs 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 18 | Exponentials & Logs 5 (2000 – 2013) | SQA Marking Schemes | ||
| Exam Worksheet 19 | Functions 1 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 20 | Functions 2 | Without Answers | ||
| 2023 Included! | Exam Worksheet 21 | Functions & Sets (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 22 | Functions & Graphs 1 (2015-2019) | Without Answers | ||
| Exam Worksheet 23 | Functions & Graphs 2 (2000 – 2013) | SQA Marking Schemes | ||
| Exam Worksheet 24 | Functions & Graphs 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| 2023 Included! | Exam Worksheet 25 | Further Calculus 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 26 | Further Calculus 2 | Without Answers | ||
| Exam Worksheet 27 | Further Calculus 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| 2023 Included! | Exam Worksheet 28 | Graphs of Functions 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 29 | Graphs of Functions 2 | Without Answers | ||
| Exam Worksheet 30 | Graphs of Functions 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| 2023 Included! | Exam Worksheet 31 | Integration 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 32 | Integration 2 (2014 – 2019) | Without Answers | ||
| Exam Worksheet 33 | Integration 3 (2000 -2018) | Without Answers | ||
| Exam Worksheet 34 | Integration 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 35 | Integration 5 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 36 | Integration 5 – Area under a Curve | Without Answers | ||
| Exam Worksheet 37 | Integration 6 (2000 – 2013) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 38 | Polynomials 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 39 | Polynomials 2 (2000 – 2019) | Without Answers | ||
| Exam Worksheet 40 | Polynomials 3 (Old Higher) | Without Answers | ||
| Exam Worksheet 41 | Polynomials & Quadratics 1 | Without Answers | ||
| Exam Worksheet 42 | Polynomials & Quadratics 2 (2000 – 2013) | SQA Marking Schemes | ||
| Exam Worksheet 43 | Polynomials & Quadratics 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| 2023 Included! | Exam Worksheet 44 | Quadratics 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 45 | Quadratics 2 (2000 – 2018) | Without Answers | ||
| Exam Worksheet 46 | Quadratics 3 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 47 | Recurrence Relations 1 (2000 – 2019) | Without Answers | Recommended | |
| Exam Worksheet 48 | Recurrence Relations 2 (2000 – 2019) | Without Answers | ||
| Exam Worksheet 49 | Recurrence Relations 3 (2015 – 2019) | Without Answers | ||
| Exam Worksheet 50 | Recurrence Relations 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 51 | Recurrence Relations 5 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 52 | Recurrence Relations 6 (2000 – 2013) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 53 | Sets & Functions (2000 – 2023) | Without Answers | Recommended |
| 2023 Included! | Exam Worksheet 54 | Straight Lines 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 55 | Straight Lines 2 (2000-2019) | Without Answers | ||
| Exam Worksheet 56 | Straight Lines 3 (2015 – 2019) | Without Answers | ||
| Exam Worksheet 57 | Straight Lines 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 58 | Straight Lines 5 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 59 | Straight Lines 6 (2000 – 2013) | SQA Marking Schemes | ||
| Exam Worksheet 60 | Straight Lines 7 (Multiple Choice) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 61 | Trigonometry 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 62 | Trigonometry 2 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 63 | Trigonometry 3 (2000 – 2013) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 64 | Trig Addition Formulae 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 65 | Trig Addition Formulae 2 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 66 | Trig Graphs & Equations (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 67 | Trig Formulae & Equations 1 | Without Answers | ||
| Exam Worksheet 68 | Trig Formulae & Equations 2 | Without Answers | ||
| Exam Worksheet 69 | Vectors 1 (2000 – 2019) | Without Answers | Recommended | |
| Exam Worksheet 70 | Vectors 2 (2015 – 2019) | Without Answers | ||
| Exam Worksheet 71 | Vectors 3 (Old higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 72 | Vectors 4 (Old Higher) | Without Answers | Multiple Choice Included! | |
| Exam Worksheet 73 | Vectors 5 (2000 – 2013) | SQA Marking Schemes | ||
| 2023 Included! | Exam Worksheet 74 | Wave Function 1 (2000 – 2023) | Without Answers | Recommended |
| Exam Worksheet 75 | Wave Function 2 | Without Answers | ||
| Exam Worksheet 76 | Wave Function 3 (Old Higher) | Without Answers | ||
| Exam Worksheet 77 | Wave Function 4 (2000 – 2013) | SQA Marking Schemes | ||
| Prelim Special | Prelim Revision Special, With Answers | Answers Only | Recommended | |
| 2022 SQA Adapted | 2022 Adapted SQA Paper | SQA Marking Schemes | Recommended | |
| Ultimate Guide 1 | Ultimate Revision Guide 1 | Recommended | ||
| Ultimate Guide 2 | Ultimate Revision Guide 2 (Multiple Choice) | Multiple Choice Included! |
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 P1 | Marking P1 | Q3,16 | Q1 | Q14 | Q10,12 | Q6,11,17b | Q8 | Q2 | Q4 | Q5,7 | Q13,15,17a | Q9 | |
| 2019 P2 | Marking P2 | Q15 | Q7b,11 | Q9,12 | Q5,8 | Q2,13 | Q7,10 | Q4 | Q1 | Q6b | Q3,14 | Q6a | |
| 2018 P1 | Marking P1 | Q4 | Q6,11 | Q2,11,15 | Q3,14 | Q10 | Q7 | Q1,8 | Q13 | Q5,9,12 | |||
| 2018 P2 | Marking P2 | Q5c,12 | Q3,9 | Q11 | Q6 | Q1 | Q4,7a,10 | 7b,c | Q5a,b | Q2 | Q8 | ||
| 2017 P1 | Marking P1 | Q2 | Q8,15c | Q12 | Q1,6,15a | Q3,13 | Q10,15b | Q4 | Q9 | Q7,11 | Q5 | Q14 | |
| 2017 P2 | Marking P2 | Q3,10 | Q4,7 | Q9 | Q2 | Q8 | Q1 | Q6,11 | Q5 | ||||
| 2016 P1 | Marking P1 | Q4,8 | Q2,9 | Q14 | Q6,10,12 | Q5 | Q15 | Q3 | Q1 | Q13 | Q7,11 | ||
| 2016 P2 | Marking P2 | Q4 | Q7 | Q6 | Q10,11b | 3b,9 | Q2,3a | Q1 | Q8b,11a | Q5 | Q8a | ||
| 2015 P1 | Marking P1 | Q11,14 | Q2,7 | Q6 | Q4,5,13 | Q12,15 | Q3,8 | Q9 | Q10 | Q1 | |||
| 2015 P2 | Marking P2 | Q5 | Q8 | Q2 | Q7a | Q4 | Q3 | Q1 | Q7b | Q6 | Q9 | ||
| Specimen P1 | Marking P1 | Q11 | Q8 | Q10 | Q1 | Q4,7 | Q2,5,9 | Q6,12 | Q3 | ||||
| Specimen P2 | Marking P2 | Q5 | Q3b,8 | Q4,7 | Q9 | Q3a | Q2 | Q1,6 | Q10 | ||||
| Exemplar P1 | Marking P1 | Q1 | Q8,11 | Q10 | Q3 | Q2,5 | Q6 | Q4,7 | Q9 | ||||
| Exemplar P2 | Marking P2 | Q2 | Q9,10 | Q7 | Q8 | Q4 | Q3 | Q1 | Q5,6 |
.
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.
.
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
____________________ |
Worked Solutions
______________________ |
Comments
__________________________________ |
| 2023 | Higher (CfE) | Exam Paper | In Online Study Pack | ||
| 2023 – Essential Skills | Higher Practice Paper | Practice Papers 1 & 2 | Answers Only | Worked Solutions | Courtesy of Mr G Rennie |
| 2022 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2021 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | Paper now available on the SQA Website |
| 2019 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2018 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2018 | Specimen (CfE) | Specimen Paper | Marking Scheme | In Online Study Pack | |
| 2017 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2016 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2015 | Higher (CfE) | Exam Paper | Marking Scheme | In Online Study Pack | |
| 2015 | Specimen (CfE) | Specimen Paper | Marking Scheme | In Online Study Pack | |
| 2015 | Exemplar (CfE) | Exemplar Paper | Marking Scheme | In Online Study Pack | |
| 2015 | Higher (Old) | Exam Paper | Marking Scheme | ||
| 2014 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2013 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2012 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2011 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2010 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2009 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2008 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2007 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2006 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2005 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2004 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2003 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2002 | Higher | Exam Paper | Marking Scheme | Worked Solutions | |
| 2002 | Higher (Winter Diet) | Exam Paper | |||
| 2001 | Higher | Exam Paper | Worked Solutions | ||
| 2000 | Higher | Exam Paper | Worked Solutions | ||
| 2022 Adapted | 2022 Adapted Paper | Exam Paper | Marking 2019, 18, Spec’n | In Online Study Pack | |
| Ultimate Guide 1 | Recommended | Ultimate Revision Guide 1 | CfE Papers in Study Pack | ||
| Ultimate Guide 2 | Recommended | Ultimate Revision Guide 2 | Multiple Choice Included! | CfE Papers in Study Pack |
.
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.
| Worksheet
______________ |
Exam Questions & Answers
________________________ |
Without Answers
_______________ |
Answers
__________ |
Worked Solutions
___________________ |
| Worksheet 1 | Sheet A – 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 2 | Sheet B – 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 3 | Sheet C – 10 Questions | Without Answers | Answers | In Online Study Pack |
| Worksheet 4 | Sheet D – 10 Questions | Without Answers | Answers | In Online Study Pack |
| Whole Booklet | Whole Booklet for Printing | Without Answers | Answers | In Online Study Pack |
.
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
________________________ |
Without Answers
_______________ |
Answers Only
______________ |
Worked Solutions
___________________ |
| Worksheet 1 | Exam Questions 1 – 20 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 2 | Exam Questions 21 – 40 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 3 | Exam Questions 41 – 60 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 4 | Exam Questions 61 – 80 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 5 | Exam Questions 81 – 100 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 6 | Exam Questions 101 – 120 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 7 | Exam Questions 121 – 140 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 8 | Exam Questions 141 – 160 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 9 | Exam Questions 161 – 180 | Without Answers | Answers Only | In Online Study Pack |
| Worksheet 10 | Exam Questions 181 – 200 | Without Answers | Answers Only | In Online Study Pack |
| Whole Booklet | Whole Booklet for Printing | Without Answers | Answers Only | In Online Study Pack |
.
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 A | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper B | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper C | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper D | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper E | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper F | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper G | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Paper H | Paper 1 | Paper 2 | Papers 1 & 2 | Answers |
| Prelim Special | Questions | Questions & Answers | Answers | |
| Prelim Special | X-Mas Theme | Questions & Answers | Answers |
.
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 – 20 | 2015 | Questions Only | Questions & Answers | Answers Only |
| 21 – 40 | 2014 | Questions Only | Questions & Answers | Answers Only |
| 41 – 60 | 2013 | Questions Only | Questions & Answers | Answers Only |
| 61 – 80 | 2012 | Questions Only | Questions & Answers | Answers Only |
| 81 – 100 | 2011 | Questions Only | Questions & Answers | Answers Only |
| 101 – 120 | 2010 | Questions Only | Questions & Answers | Answers Only |
| 121 – 264 | Mixed | Questions Only | Questions & Answers | Answers 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 1 | Addition Formulae | Check List 13 | Trig Graphs & Equations |
| Check List 2 | Circles | Check List 14 | Vectors |
| Check List 3 | Differentiation | Check List 15 | Wave Function |
| Check List 4 | Exponentials & Logs | Check List 16 | Whole Course – Free Higher Maths |
| Check List 5 | Further Calculus | Check List 17 | Whole Course – Zeta Maths |
| Check List 6 | Graphs of Functions | Check List 18 | Trig Revision Sheet |
| Check List 7 | Integration | Check List 19 | HSN Unit 1 – One Page Summary |
| Check List 8 | Polynomials | Check List 20 | HSN Unit 2 – One Page Summary |
| Check List 9 | Quadratics | Check List 21 | HSN Unit 3 – One Page Summary |
| Check List 10 | Recurrence Relations | Check List 22 | Formulas not given in Exam |
| Check List 11 | Straight Lines | Check List 23 | SQA Formula Sheet |
| Check List 12 | Sets & Functions | Check List 24 | Course 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 1 | Circles | HERE | Answers Included |
| Topic 2 | Differentiation | HERE | Answers Included |
| Topic 3 | Exponentials & Logarithms | HERE | Answers Included |
| Topic 4 | Functions | HERE | Answers Included |
| Topic 5 | Further Calculus | HERE | Answers Included |
| Topic 6 | Graphs of Functions | HERE | Answers Included |
| Topic 7 | Integration | HERE | Answers Included |
| Topic 8 | Polynomials | HERE | Answers Included |
| Topic 9 | Quadratics | HERE | Answers Included |
| Topic 10 | Recurrence Relations | HERE | Answers Included |
| Topic 11 | Straight Line | HERE | Answers Included |
| Topic 12 | Trig Addition Formulae | HERE | Answers Included |
| Topic 13 | Trig Graphs & Equations | HERE | Answers Included |
| Topic 14 | Vectors | HERE | Answers Included |
| Topic 15 | Wave Function | HERE | Answers 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
___________________ |
Check List
__________ |
||||||||||||||||||
| Topic 1 – Updated Solutions | Straight Lines | Check List | Ex_1A | Ex_1B | Ex_1D | Ex_1E | Ex_1F | Ex_1G | Ex_1I | Ex_1K | Ex_1M | Ex_1N | Ex_1O | |||||||
| Topic 2 – Updated Solutions | Sets & Functions | Check List | Ex_2A | Ex_2B | Ex_2C | Ex_2D | Ex_2F | Ex_2G | Ex_2H | Ex_2I | ||||||||||
| Topic 3 – Updated Solutions | Graphs of Functions | Check List | Ex_3A | Ex_3C | Ex_3E | Ex_3G | Ex_3I | Ex_3K | Ex_3M | Ex_3N | Ex_3O | Ex_3P | ||||||||
| Topic 4 – Updated Solutions | Trig Graphs & Equations | Check List | Ex_4A | Ex_4B | Ex_4C | Ex_4E | Ex_4H | Ex_4I | Ex_4J | |||||||||||
| Topic 5 – Not in 2022/23 | Recurrence Relation | Check List | Ex_5A | Ex_5B | Ex_5C | Ex_5D | Ex_5H | Ex_5I | ||||||||||||
| Topic 6 – Updated Solutions | Differentiation | Check List | Ex_6C | Ex_6D | Ex_6E | Ex_6F | Ex_6G | Ex_6H | Ex_6I | Ex_6J | Ex_6L | Ex_6M | Ex_6N | Ex_6O | Ex_6P | Ex_6Q | Ex_6R | Ex_6S | ||
| Topic 7 – Updated Solutions | Polynomials | Check List | Ex_7B | Ex_7C | Ex_7D | Ex_7E | Ex_7F | Ex_7G | Ex_7H | Ex_7I | Ex_7K | |||||||||
| Topic 8 – Updated Solutions | Quadratics | Check List | Ex_8C | Ex_8D | Ex_8E | Ex_8F | Ex_8I | Ex_8J | Ex_8K | |||||||||||
| Topic 9 – Updated Solutions | Integration | Check List | Ex_9G | Ex_9H | Ex_9I | Ex_9L | Ex_9N | Ex_9P | Ex_9Q | Ex_9R | ||||||||||
| Topic 10 – Updated Solutions | Addition Formulae | Check List | Ex_11B | Ex_11C | Ex_11D | Ex_11E | Ex_11F | Ex_11G | Ex_11H | Ex_11J | ||||||||||
| Topic 11 – Updated Solutions | Circles | Check List | Ex_12B | Ex_12D | Ex_12F | Ex_12H | Ex_12J | Ex_12K | Ex_12L | |||||||||||
| Topic 12 – Not in 2022/23 | Vectors | Check List | Ex_13A | Ex_13B | Ex_13C | Ex_13D | Ex_13E | Ex_13F | Ex_13G | Ex_13I | Ex_13K | EX13_L | Ex_13M | Ex_13N | Ex_13O | Ex_13P | EX_13Q | Ex_13R | Ex_13S | Ex_13U |
| Topic 13 – Updated Solutions | Further Calculus | Check List | Ex_14B | Ex_14C | Ex_14E | Ex_14G | Ex_14H | Ex_14I | Ex_14J | Ex_14K | ||||||||||
| Topic 14 – Updated Solutions | Exponentials & Logs | Check List | Ex_15C | Ex_15D | Ex_15E | Ex_15F | Ex_15G | Ex_15H | Ex_15I | Ex_15J | Ex_15K | Ex_15L | ||||||||
| Topic 15 – Updated Solutions | Wave Function | Check List | Ex_16A | Ex_16C | Ex_16D | Ex_16E | Ex_16F | Ex_16G | Ex_16H |
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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 1 | All Topics Unit 1 Theory (HSN) | HERE |
| Theory Guide 2 | All Topics Unit 1 – One Page Summary Guide (HSN) | HERE |
| Theory Guide 3 | All Topics Unit 2 Theory (HSN) | HERE |
| Theory Guide 4 | All Topics Unit 2 – One Page Summary Guide (HSN) | HERE |
| Theory Guide 5 | All Topics Unit 3 Theory (HSN) | HERE |
| Theory Guide 6 | All Topics Unit 3 – One Page Summary Guide (HSN) | HERE |
| Theory Guide 7 | All Topics Units 1,2 & 3 Theory (HSN) | HERE |
| Theory Guide 8 | Circles Theory (HSN) | HERE |
| Theory Guide 9 | Differentiation Theory (HSN) | HERE |
| Theory Guide 10 | Exponentials & Logarithms Theory (HSN) | HERE |
| Theory Guide 11 | Functions & Graphs Theory (HSN) | HERE |
| Theory Guide 12 | Further Calculus Theory (HSN) | HERE |
| Theory Guide 13 | Graphs Transformations Theory (Movement & Reflection) | HERE |
| Theory Guide 14 | Graphs Transformations Summary Sheet | HERE |
| Theory Guide 15 | Integration Theory (HSN) | HERE |
| Theory Guide 16 | Polynomials & Quadratics Theory (HSN) | HERE |
| Theory Guide 17 | Sequences Theory (HSN) | HERE |
| Theory Guide 18 | Straight Line Theory (HSN) | HERE |
| Theory Guide 19 | Trigonometry Theory (HSN) | HERE |
| Theory Guide 19 | Vectors Theory (HSN) | HERE |
| Theory Guide 20 | Wave Function Theory (HSN) | HERE |
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 1 | Circle 1 | Mind Map 16 | Polynomials & Quadratics |
| Mind Map 2 | Circle 2 | Mind Map 17 | Polynomials |
| Mind Map 3 | Composite Functions | Mind Map 18 | Quadratics |
| Mind Map 4 | Compound Angle Formula | Mind Map 19 | Recurrence Relations 1 |
| Mind Map 5 | Differentiation (Preparing For) | Mind Map 20 | Recurrence Relations 2 |
| Mind Map 6 | Differentiation 1 | Mind Map 21 | Straight Lines 1 |
| Mind Map 7 | Differentiation 2 | Mind Map 22 | Straight Lines 2 |
| Mind Map 8 | Differentiation (Further) | Mind Map 23 | Trigonometry 1 |
| Mind Map 9 | Functions & Graphs | Mind Map 24 | Trigonometry 2 |
| Mind Map 10 | Graph Transformations | Mind Map 25 | Vectors 1 |
| Mind Map 11 | Integration (Preparing For) | Mind Map 26 | Vectors 2 |
| Mind Map 12 | Integration 1 | Mind Map 27 | Vectors 3 |
| Mind Map 13 | Integration 2 | Mind Map 28 | Wave Function 1 |
| Mind Map 14 | Logs & Exponentials 1 | Mind Map 29 | Wave Function 2 |
| Mind Map 15 | Logs & 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 One | Practice A | Solutions |
| Unit One | Practice B | Solutions |
| Unit Two | Practice A | Solutions |
| Unit Two | Practice B | Solutions |
| Unit Three | Practice A | Solutions |
| Unit Three | Practice B | Solutions |
| Unit Four | Practice A | Solutions |
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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 Perpendicular Bisectors 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 2024.
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Mike
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.
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Topic Links
Free resources to dozens of Higher Maths topics are available by clicking on any of the links to the right.