Covers the whole of the AH Maths course
Created by an experienced maths teacher
Resources used with students in Scottish Secondary Schools
Welcome to advancedhighermaths.co.uk
A sound understanding of the Maclaurin Series is essential to ensure exam success.
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 in 2019/20 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.
We hope you find this website useful and wish you the very best with your studies in 2019/20.
Please find below:
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 Higher Maths Questions below are available in the Online Study Pack.
|5||Differential Equations - Variables Separable||Answers|
|6||Differential Equations (Further)||Answers|
|7||Functions & Graphs||Answers|
|11||Number Theory - Methods of Proof||Answers|
|12||Number Theory (Further) - Euclidean & Number Bases||Answers|
|14||Sequences & Series||Answers|
|15||Sequences & Series - Maclaurin||Answers|
|16||Systems of Equations||Answers|
2. Links and Exam Formulae
|AH Maths - Home Page Link||HERE|
|AH Maths - Whole Course Link||HERE|
|AH Maths - Exam Formula List||HERE|
|Higher Maths - Exam Formulae List||HERE|
|AH Maths - Complete Formula List||HERE|
|SQA Full Course Content and Outline||HERE|
3. Maclaurin Series Resources
Thanks to the author(s) for making these available.
|Maclaurin Series Theory Guide 1||HERE|
|Maclaurin Series Theory Guide 2||HERE|
|Maclaurin Series HSN Summary Notes||HERE|
4. MIA Text Book Questions – Maclaurin Series
Recommended questions from the Maths In Action (2nd Edition) by Edward Mullan text book are shown below.
Worked solutions to all questions below are available in the Online Study Pack.
|Maclaurin Series for f(x)||Page 179||Exercise 10.5||Q1a,b,c,d,3a,b|
|Maclaurin Series - Composite Functions||Page 182||Exercise 10.7||Q1a,f,2a,3a,6a,7a,8a,b|
|Maclaurin Series - SQA Questions||SQA Questions & Answers|
5. About the Maclaurin Series
For a more detailed explanation, please first read the Theory Guides above.
The method is to repeatedly differentiate the function and to substitute x = 0 into each answer as shown below.
In the AH Maths exam you are given the above formulae
6. AH Maths Past & Practice Papers
Thanks to the SQA for making these available.
Worked solutions to SQA Exam Questions available in the in the Online Study Pack.
|2019||AH Specimen||Specimen||Marking Scheme|
|2019||Advanced Higher||Exam Paper||Marking Scheme|
|2018||Advanced Higher||Exam Paper||Marking Scheme|
|2017||Advanced Higher||Exam Paper||Marking Scheme|
|2016||Advanced Higher||Exam Paper||Marking Scheme|
|2016||AH Specimen||Specimen||Marking Scheme|
|2016||AH Exemplar||Exemplar||Marking Scheme|
|2015||Advanced Higher||Exam Paper||Marking Scheme|
|2014||Advanced Higher||Exam Paper||Marking Scheme|
|2013||Advanced Higher||Exam Paper||Marking Scheme|
|2012||Advanced Higher||Exam Paper||Marking Scheme|
|2011||Advanced Higher||Exam Paper||Marking Scheme|
|2010||Advanced Higher||Exam Paper||Marking Scheme|
|2009||Advanced Higher||Exam Paper||Marking Scheme|
|2008||Advanced Higher||Exam Paper||Marking Scheme|
|2007||Advanced Higher||Exam Paper||Marking Scheme|
|2006||Advanced Higher||Exam Paper||Marking Scheme|
|2005||Advanced Higher||Exam Paper||Marking Scheme|
|2004||Advanced Higher||Exam Paper||Marking Scheme|
|2003||Advanced Higher||Exam Paper||Marking Scheme|
|2002||Advanced Higher||Exam Paper||Marking Scheme|
|2001||Advanced Higher||Exam Paper||Marking Scheme|
7. AH Maths Past Paper Questions by Topic
Thanks to the SQA for making these available.
Questions and answers have been split up by topic for ease of reference.
Worked solutions to all SQA questions below available in the Online Study Pack.
|Systems of |
8. 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.
9. Exam focused 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 Maclaurin Series to pass your final exam.
As well as students studying Advanced Higher Mathematics, the resources will benefit young adults studying A-Level Mathematics and undergraduates who need a little extra help. Particular benefit will be to students who have gained a ‘Conditional’ University place and are therefore required to pass in order to gain entry onto the course of their choice.
Subscribing to the Online Study Pack may therefore be one of your best ever investments. Please click Online Study Pack to view screenshots, examples and instructions on how to subscribe.
Please speak with your mum/dad and show them our fantastic website.
We hope the resources on this website prove useful and wish you the very best of success with your AH Maths course in 2019/20.
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F. Roberts – 22nd April 2018
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Just came across this amazing website and couldn’t believe my luck! With my AH Prelim coming up I asked my mum to pay £9.99 for the Online Study Pack. It’s brilliant! There are easy to understand worked solutions to literally hundreds of past paper questions. Text book worked solutions, theory guides – it’s all there! Even my tutor bought the Online Study Pack and says it’s by far the best AH Maths resource out there. I am feeling so much more confident having found this superb website!
Oliver, AH Maths Student
“I really like how the Online Study Pack breaks the course down into 18 sections so my son can address his weaknesses – each section has dedicated topic theory guides, text book solutions, past paper questions, marking schemes and worked solutions. Mark is a lot more confident now having accessed the guides several times – with most tutors charging £30 an hour the website is excellent value for money – only a one off £9.99!”
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Sarah, AH Maths Student
“The text book work solutions are great for helping me start some of the harder questions – if it wasn’t for these I would be really struggling with the course.”
Mark, AH Maths Student
“This fantastic website has made delivering the AH Maths course an absolute pleasure.
After teaching the theory, my students and I access the mobile friendly AH Maths Online Study Pack to compare our answers with the correct, easy to follow, laid out solutions. We do the same almost every period and nobody is ever stuck for long!
I’m fully expecting all my students to pass AH Maths with flying colours in 2019!”
Mr M, Whole School Subscriber
Free resources to dozens of AH Maths topics are available by clicking on any of the links to the right.