National 5 Mathematics Course Summary
National 5 Mathematics in a Nutshell
Coursework
The S5 course is shown in the table below. By clicking on a topic link (in blue type) you open a PDF document or video tutorial. This gives a brief summary of the topic and a selection of interactive resources that can be used to consolidate the skills required for the topic.
Term 
Topics 
Resources 
June 
Converse of Pythagoras Theorem 
Pythagoras Theorem Summary 
Pythagoras Theorem Support Notes  
Converse of Pythagoras  
Expanding Brackets & Factorisation

Pairs of Brackets Summary  
Factorisation Summary  
Brackets & Factorisation Support Notes  
Common Factor  
Difference of 2 Squares  
Trinomials  
Easy Trinomials  
EXPANDING BRACKETS & FACTORISATION PAST PAPER QUESTIONS ANSWERS  
Percentages

Percentages Summary  
Percentages Support Notes  
Appreciation & Depreciation  
Compound Interest  
Percentage Profit & Percentage Loss  
Reverse Percentages  
PERCENTAGES PAST PAPER QUESTIONS ANSWERS 
Term 
Topics 
Resources 
October – December 
Similarity 
Similarity Summary 
Similar Triangles  
Area of Similar Shapes  
Volume of Similar Shapes  
SIMILARITY PAST PAPER QUESTIONS ANSWERS  
N5 Unit 1 Assessment 
Assessment  
Sine Rule, Cosine Rule & Area of a Triangle 
Sine Rule, Cosine Rule & Area of a Triangle Summary  
Sine & Cosine Rules Support Notes  
The Sine Rule – Finding a Side  
The Sine Rule – Finding an Angle  
The Cosine Rule – Finding a Side  
The Cosine Rule – Finding an Angle  
Area of a Triangle  
SINE RULE, COSINE RULE & AREA OF A TRIANGLE PAST PAPER QUESTIONS ANSWERS  
Simultaneous Equations 
Simultaneous Equations Summary  
Simultaneous Equations Support Notes  
Solving Simultaneous Equations by Elimination  
Solving Simultaneous Equations by Substitution  
SIMULTANEOUS EQUATIONS PAST PAPER QUESTIONS ANSWERS  
Vectors 
Vectors Summary  
Vectors Support Notes  
An Introduction to Vectors  
Alternative Routes  
Magnitude of 2D & 3D Vectors  
Scalar Multiplication 
Term 
Topics 
Resources 
AprilJune 
Revision 
Revision for Exam 
Textbook Answers
National 5 Texbook Answers Chapters 1 to 11
National 5 Textbook Answers Chapters 12 to 24
National 5 Textbook Answers Chapters 25 to 34
National 5 Textbook Unit 1 Assessment Answers
National 5 Textbook Unit 2 Assessment Answers
National 5 Textbook Unit 3 Assessment Answers
Course Summary & Self Assessment Booklet
Pupils will be issued with a copy of this booklet in S1. They should use the booklet to self assess their understanding of each topic as they progress through the course. The booklet can also be used as a checklist to aid pupils in their preparation foe assessment.
Course Summary & Self Assessment Booklet 1
Revision
National 5 Mathematics Revision in a Nutshell
Your teacher will issue you a revision booklet for each assessment. The answers for these books can be accessed by clicking the links below.
National 5 Maths Unit 1 Revision Booklet ANSWERS
National 5 Maths Unit 2 Revision Booklet ANSWERS
National 5 Maths Unit 3 Revision Booklet ANSWERS
Highland Revision Booklet N5 Mathematics Revision Booklet
Millburn Revision Booklet N5 Maths Exam Revision Booklet – N5 Maths Exam Revision Booklet ANSWERS
Homework
Pupils may be asked to complete an exercise that has been started in class.
In addition to this a homework exercise will be issued at the end of each topic. These exercises may be computer tasks or written exercises. The written exercises will be marked by the class teacher. Pupils must make sure that they hand in all homework on time.
S5 National 5 Homework Booklet
Past Papers
Exam 
Marking Instructions 
2016 N5 Exam  2016 N5 Marking 
2015 N5 Exam  2015 N5 Marking 
2014 N5 Exam  2014 N5 Marking 
Selected questions from the Credit past papers can be used for revision/exam practice.
Credit Past Papers 

Exam 
Marking Instructions 
Questions 
P1 – 2, 3, 4, 6, 7, 8, 10 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14 

P1 – 2, 3, 4, 5, 7, 10 P2 – 1, 4, 6, 7, 8, 9, 11a/b, 13a/b 

P1 2, 4, 5, 7, 9a, 10 P2 – 1, 2, 3, 4, 5, 6, 7a/b, 8, 12 

P1 – 2, 3, 4, 6, 7, 8, 9P2 – 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13  
P1 – 2, 3, 4, 5, 7, 8, 9, 10, 11 P2 – 1, 2, 3, 4, 5, 6, 8, 9, 10, 11 

P1 – 2, 3, 4, 5, 8, 9, 11, 12 P2 – 1, 3, 4, 5, 7, 8, 9, 11, 12 

P1 – 2, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13 

P1 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11  
P1 – 1, 2, 3, 5, 6, 9, 10, 11, 12P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11  
P1 – 1, 2, 3, 4, 6, 9, 10, 11, 12P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11  
P1 – 1, 2, 3, 4, 5, 6, 7, 12, 13P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10  
P1 – 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13 P2 – 1, 2, 3, 4, 5, 6, 8, 12 

P1 – 1, 2, 3, 4, 6, 8, 10 P2 – 1, 2, 3, 4, 5, 6, 7, 11 