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National 5 Mathematics Course Summary
National 5 Mathematics in a Nutshell
Coursework
The S4 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 |
August – October |
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 | ||
3D COORDINATES VECTORS PAST PAPER QUESTIONS | ||
Revision |
Revision for Assessment |
Term |
Topics |
Resources |
October – December |
N5 Unit 2 Assessment |
Assessment |
Quadratics |
Quadratics Summary | |
Quadratics Support Notes | ||
Sketching Quadratic Functions | ||
Completing the Square | ||
The Quadratic Formula | ||
Determining the Nature of Roots (Discriminant) | ||
QUADRATICS PAST PAPER QUESTIONS ANSWERS | ||
Trigonometric Graphs |
Trig Graphs Support Notes | |
Graphing Trig Functions (Amplitude) | ||
Graphing Trig Functions (Period) | ||
Graphing Trig Functions (Vertical Shift) | ||
Graphing Trig Functions (Horizontal Shift) | ||
TRIGONOMETRIC GRAPHS PAST PAPER QUESTIONS ANSWERS | ||
Trigonometric Equations |
Trig Equations Identities Support Notes | |
Solving Trig Equations | ||
TRIGONOMETRIC EQUATIONS PAST PAPER QUESTIONS ANSWERS |
Term |
Topics |
Resources |
January – March |
Prelim Exam |
Exam |
Surds |
Surds Summary | |
Surds Support Notes | ||
Simplifying Surds | ||
Adding & Subtracting Surds | ||
SURDS PAST PAPER QUESTIONS ANSWERS | ||
Indices |
Indices Summary | |
Indices Support Notes | ||
INDICES PAST PAPER QUESTIONS ANSWERS | ||
Parabolas |
Parabolas Summary | |
Sketching Quadratic Functions | ||
Revision |
Revision for Assessment | |
N5 Unit 3 Assessment |
Assessment |
Term |
Topics |
Resources |
April – May |
Revision |
Revision for exam. |
National 5 Exam |
Exam |
Textbook Answers
National 5 Textbook 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.
S4 National 5 Homework Booklet
Past Papers
Exam |
Marking Instructions |
2017 N5 Exam | 2017 N5 Marking |
2016 N5 Exam | 2016 N5 Marking |
2015 N5 Exam | 2015 N5 Marking |
Selected questions from the Credit past papers can be used for revision/exam practice.
Credit Past Papers |
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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 |
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P1 – 2, 3, 4, 5, 7, 10 P2 – 1, 4, 6, 7, 8, 9, 11a/b, 13a/b |
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P1- 2, 4, 5, 7, 9a, 10 P2 – 1, 2, 3, 4, 5, 6, 7a/b, 8, 12 |
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P1 – 2, 3, 4, 6, 7, 8, 9 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13 |
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P1 – 2, 3, 4, 5, 7, 8, 9, 10, 11 P2 – 1, 2, 3, 4, 5, 6, 8, 9, 10, 11 |
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P1 – 2, 3, 4, 5, 8, 9, 11, 12 P2 – 1, 3, 4, 5, 7, 8, 9, 11, 12 |
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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 |
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P1 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 |
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P1 – 1, 2, 3, 5, 6, 9, 10, 11, 12 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 |
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P1 – 1, 2, 3, 4, 6, 9, 10, 11, 12 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 |
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P1 – 1, 2, 3, 4, 5, 6, 7, 12, 13 P2 – 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 |
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P1 – 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13 P2 – 1, 2, 3, 4, 5, 6, 8, 12 |
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P1 – 1, 2, 3, 4, 6, 8, 10 P2 – 1, 2, 3, 4, 5, 6, 7, 11 |