Mathematics at Advanced Higher provides the foundation for many developments in the sciences and in technology as well as having its own intrinsic value. This Course is designed to enthuse, motivate, and challenge learners by enabling them to:

- select and apply complex mathematical techniques in a variety of mathematical situations, both practical and abstract
- extend and apply skills in problem solving and logical thinking
- extend skills in interpreting, analysing, communicating and managing information in mathematical form, while exploring more advanced techniques
- clarify their thinking through the process of rigorous proof

The Course develops and expands a range of mathematical skills. It allows the learner to develop further skills in calculus and algebra. Areas such as number theory (which helps keep the internet secure), complex numbers (the uses of which are ubiquitous, ranging from the solution of equations to the description of electronic circuits) and matrices (used in game theory and economics) are introduced. The learner’s mathematical thinking will also benefit from examples of rigorous proof.

## Notes and exercises

These pages contain notes, exercises and practice materials for each block of work;

#### Block A

## Homework

As a matter of routine, you should be working independently through the exercises from the topics covered in class. Additional, formal homework exercises will be posted here;

Exam Homework 10 – 2011 Q15, 2012 Q6 (Solutions)

Exam Homework 10 – Extension 2014 Q16

Exam Homework 9 – 2011 Q4 and 2011 Q15 (Solutions)

Exam Homework 9 – Extension 2015 Q11

Exam Homework 8 – 2015 Q5 and 2014 Q5 (Solutions)

Exam Homework 8 – Extension 2015 Q18

Exam Homework 7 – 2011 Q9 and 2012 Q4 (Solutions)

Exam Homework 6 – 2010 Q2 and 2010 Q3 (Solutions)

Exam homework 5 – 2013 Q10 and 2002 A7 (Solutions)

Exam homework 4 – 2008 Q4 and 2012 Q3 (Solutions)

Exam homework 3 – 2008 Q7 and 2010 Q15 (Solutions)

Exam homework 2 – 2010 Q1 and 2009 Q13 (Solutions)

Exam homework 1 – 2006 Q4 and 2008 Q15 (Solutions)

Weekly HW4 (Solutions)

Weekly HW3 (Solutions)

Weekly HW2 (Solutions)

Weekly HW1 (Solutions)

## Exam Revision

**Past Papers & Marking schemes
**2018 Paper Marking Scheme

2017 Paper Marking Scheme

**2016 Paper Marking scheme**

2015 Paper Marking scheme

2014 Paper Marking scheme

2013 Paper Marking scheme

2012 Paper Marking scheme

2011 Paper Marking scheme

2010 Paper Marking scheme

2007 Marking scheme 2008 Marking scheme 2009 Marking scheme

2004 Marking scheme 2005 Marking scheme 2006 Marking scheme

2001 Marking scheme 2002 Marking scheme 2003 Marking scheme

**Exam Materials for new AH
**Specimen Question Paper Exemplar Question Paper

**Revision Materials**

Formulae list Standard derivatives Differentiation and Integration Rules Trig formulae

## Useful links

http://www.geogebra.org/cms/download