S5 National 5

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

pdf icon Pythagoras Theorem Summary
 pdf iconPythagoras Theorem Support Notes
Converse of PythagorasVideo-Icon

Expanding Brackets

&

Factorisation

 Pairs of Brackets Summarypdf icon
pdf iconFactorisation Summary
pdf iconBrackets & Factorisation Support Notes
Video-IconCommon Factor
Video-IconDifference of 2 Squares
Video-IconTrinomials
Video-IconEasy Trinomials
pdf iconEXPANDING BRACKETS & FACTORISATION PAST PAPER QUESTIONS      ANSWERS

Percentages

pdf icon Percentages Summary
pdf iconPercentages Support Notes
Video-Icon Appreciation & Depreciation
Video-Icon Compound Interest
Video-Icon Percentage Profit & Percentage Loss
Video-Icon Reverse Percentages
pdf iconPERCENTAGES PAST PAPER QUESTIONS       ANSWERS

 

Term

Topics

Resources

August – October

Arcs, Sectors, Chords & Tangents

pdf icon Arcs & Sectors Summary
pdf icon Chords & Tangents Summary
pdf icon Circles Support Notes
Video-Icon Arc Length
Video-Icon Sector Area
Video-Icon Finding an Angle
Video-Icon Angles in Circles
pdf iconCHORDS PAST PAPER QUESTIONS       ANSWERS

Fractions Revision

Revision of numerical calculations with fractions.

Spread of Data

pdf icon Spread of Data Summary
Video-IconStandard Deviation
Video-IconFive Figure Summary & Spread of Data

Volume

pdf icon Volume of Solids Summary
pdf icon Volume Support Notes
pdf icon VOLUME PAST PAPER QUESTIONS     ANSWERS

Algebraic Fractions

pdf icon Algebraic Fractions Summary
pdf icon Algebraic Fractions Support Notes
Video-IconSimplifying Algebraic Fractions
Video-Icon Adding & Subtracting Algebraic Fractions
pdf iconALGRBRAIC FRACTIONS PAST PAPER QUESTIONS     ANSWERS

Equation of a Line

pdf icon Equation of a Line Summary
pdf iconEquation of a Line Support Notes
Video-IconDiscovering y = mx + c
Video-IconHorizontal & Vertical Lines
Video-IconUsing y-b=m(x-a)
pdf iconSTRAIGHT LINE PAST PAPER QUESTIONS      ANSWERS

Equations & Inequalities

pdf iconEQUATIONS & INEQUALITIES PAST PAPER QUESTIONS     ANSWERS

Changing the Subject of a Formula

pdf iconCHANGING THE SUBJECT OF A FORMULA PAST PAPER QUESTIONS   ANSWERS

 

Term

Topics

Resources

October – December

Similarity

pdf icon Similarity Summary
Video-IconSimilar Triangles
Video-IconArea of Similar Shapes
Video-Icon Volume of Similar Shapes
pdf iconSIMILARITY PAST PAPER QUESTIONS        ANSWERS

      N5 Unit 1 Assessment

 Assessment

Sine Rule, Cosine Rule & Area of a Triangle

pdf icon Sine Rule, Cosine Rule & Area of a Triangle Summary
pdf iconSine & Cosine Rules Support Notes
Video-Icon The Sine Rule – Finding a Side
Video-Icon The Sine Rule – Finding an Angle
Video-Icon The Cosine Rule – Finding a Side
Video-Icon The Cosine Rule – Finding an Angle
Video-Icon Area of a Triangle
pdf iconSINE RULE, COSINE RULE & AREA OF A TRIANGLE PAST PAPER QUESTIONS        ANSWERS

Simultaneous Equations

pdf icon Simultaneous Equations Summary
pdf icon Simultaneous Equations Support Notes
Video-Icon Solving Simultaneous Equations by Elimination
Video-Icon Solving Simultaneous Equations by Substitution
pdf iconSIMULTANEOUS EQUATIONS PAST PAPER QUESTIONS      ANSWERS

      Vectors

pdf icon Vectors Summary
pdf iconVectors Support Notes
Video-Icon An Introduction to Vectors
Video-Icon Alternative Routes
Video-Icon Magnitude of 2D & 3D Vectors
Video-Icon Scalar Multiplication

 

Term

Topics

Resources

January – March

N5 Unit 2 Assessment

Assessment

Scientific Notation

pdf icon Scientific Notation Summary
pdf icon Standard Form Support Notes

Trigonometric Graphs

pdf icon Trig Graphs Support Notes
Video-IconGraphing Trig Functions (Amplitude)
Video-Icon Graphing Trig Functions (Period)
Video-Icon Graphing Trig Functions (Vertical Shift)
Video-Icon Graphing Trig Functions (Horizontal Shift)
pdf iconTRIGONOMETRIS GRAPHS PAST PAPER QUESTIONS      ANSWERS

Trigonometric Equations

pdf icon Trig Equations & Identities Support Notes
Video-Icon Solving Trig Equations
pdf iconTRIGONOMETRIC EQUATIONS PAST PAPER QUESTIONS      ANSWERS

Quadratics

pdf icon Quadratics Summary
pdf icon Quadratics Support Notes
Video-Icon Sketching Quadratic Functions
Video-Icon Completing the Square
Video-Icon The Quadratic Formula
Video-Icon Determining the Nature of Roots (Discriminant)
Video-Icon Sketching Quadratic Functions
pdf iconQUADRATICS PAST PAPER QUESTIONS      ANSWERS

Surds

pdf icon Surds Summary
pdf icon Surds Support Notes
Video-IconSimplifying Surds
Video-Icon Adding & Subtracting Surds
pdf iconSURDS PAST PAPER QUESTIONS      ANSWERS

     Indices

pdf icon Indices Summary
pdf icon Indices Support Notes
pdf icon INDICES PAST PAPER QUESTIONS      ANSWERS

N5 Unit 3 Assessment

 Assessment

 

Term

Topics

Resources

April-June

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

N5 SQP Mathematics P 1

N5 SQP Mathematics P 2

 

Selected questions from the Credit past papers can be used for revision/exam practice.

 

Credit Past Papers

Exam

Marking Instructions

Questions

2013 Credit Exam

2013 Credit Marking

P1 – 2, 3, 4, 6, 7, 8, 10

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

2012 Credit Exam

2012 Credit Marking

P1 – 2, 3, 4, 5, 7, 10

P2 – 1, 4, 6, 7, 8, 9, 11a/b, 13a/b

2011 Credit Exam

2011 Credit Marking

 P1- 2, 4, 5, 7, 9a, 10

P2 – 1, 2, 3, 4, 5, 6, 7a/b, 8, 12

2010 Credit Exam

2010 Credit Marking

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

2009 Credit Exam

2009 Credit Marking

 P1 – 2, 3, 4, 5, 7, 8, 9, 10, 11

P2 – 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

2008 Credit Exam P1

2008 Credit Exam P2

2008 Credit Marking

 P1 – 2, 3, 4, 5, 8, 9, 11, 12

P2 – 1, 3, 4, 5, 7, 8, 9, 11, 12

2007 Credit Exam P1

2007 Credit Exam P2

2007 Credit Marking

 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

2006 Credit Exam

 2006 Credit Marking

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

2005 Credit Exam

2005 Credit Marking

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

2004 Credit Exam

2004 Credit Marking

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

2003 Credit Exam

2003 Credit Marking P1

2003 Credit Marking P2

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

 2002 Credit Exam

2002 Credit Marking P1

 2002 Credit Marking P2

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

P2 – 1, 2, 3, 4, 5, 6, 8, 12

2001 Credit Exam

 2001 Credit Marking P1

2001 Credit Marking P2

 P1 – 1, 2, 3, 4, 6, 8, 10

P2 – 1, 2, 3, 4, 5, 6, 7, 11

 

Useful Websites

Mr Graham has produced video tutorials to help with a range of topics.

www.mrgrahammaths.wordpress.com

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SUPER MATHS WORLD – Play against the computer or another player. Test your skills in number, algebra, shape or data. Ask you teacher for the login details.

http://www.supermathsworld.com/

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THAT QUIZ – Practice for integers and fractions.

http://www.thatquiz.org/

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COOL MATHS 4 KIDS – Maths lessons, puzzles and games.

http://www.coolmath4kids.com/

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MATHS IS FUN – Maths lessons, worksheets, puzzles and games.

http://www.mathsisfun.com/

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BITESIZE – View the lesson, try the quiz and play the game.

http://www.bbc.co.uk/education/subjects/ztrjmp3

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