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 Complex Numbers 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:
1. 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|
2. Complex Numbers Resources
Thanks to the author(s) for making these available.
|Complex Numbers Theory Guide 1||HERE|
|Complex Numbers Theory Guide 2||HERE|
|Complex Numbers Theory Guide (HSN)||HERE|
3. MIA Text Book Questions – Complex Numbers
Recommended questions from the new MIA Text Book are shown below.
Worked solutions to all questions below are available in the Online Study Pack.
|Arithmetic with Complex Numbers||Page 207||Exercise 12.1||Q1,2,3,6,7,8|
|Division & Square Roots of Complex Nos||Page 209||Exercise 12.2||Q1a,b,c,2c,e,3a,b,f,5a,b|
|Argand Diagrams||Page 211||Exercise 12.3||Q3a,b,d,e,f,i,6a,b,f,7a,b,c|
|Multiplying/Dividing in Polar Form||Page 215||Exercise 12.5||Q1a,b,f,g|
|De Moivre's Theorem||Page 218||Exercise 12.6||Q1,2,3a,4g,h,i,j|
|Polynomials & Complex Numbers||Page 224||Exercise 12.8||Q2a,d,3a,b,4,5,6a,b|
|Loci on the Complex Plane||Page 213||Exercise 12.4||Q1a,b,d,f,j,3a,b,4a,b,c|
|Expanding Trig Formula||Page 219||Exercise 12.6||Q5,6,7a|
|Roots of a Complex Number||Page 222||Exercise 12.7||Q2a,b,c,d,e,f,1a(i)|
4. About Complex Numbers
For a more detailed explanation, please first read the Theory Guides above.
x² = -1 has no solutions in the set of real numbers
The solution is x = √ – 1
This is denoted by i
A complex number is of the form z = a + bi
where a and b are real numbers.
When b = 0, we have the real number a.
Source: SQA AH Maths Paper 2009 Question 6
5. AH Maths Past & Practice Papers
Thanks to the SQA for making these available.
Worked solutions to SQA Exam Questions available in the Online Study Pack.
|2019||Advanced Higher||Exam Paper||Not Available Yet|
|2018||Advanced Higher||Exam Paper||Marking Scheme|
|2017||Advanced Higher||Exam Paper||Marking Scheme|
|2016||Advanced Higher||Exam Paper||Marking Scheme|
|2016||AH Exemplar||Exemplar||Exemplar Guidance|
|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|
6. 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 |
7. 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.
8. 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 Complex Numbers 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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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.