Unsure about Circles?

Unsure about Circles?

Let the fantastic wealth of resources below teach you all about Circles.

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Covers the whole of the National 5 Maths course

Created by an experienced maths teacher

Resources used with students studying Maths in Scottish Secondary Schools

Circles

Welcome to national5maths.co.uk

A sound understanding of Circles is essential to ensure exam success.

To access a wealth of additional free resources by topic please either use the above Search Bar or click on any of the Topic Links found at the bottom of this page as well as on the Home Page HERE.

Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. A ‘good’ pass at N5 Maths will set you up well for the fast paced Higher Maths Course next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the N5 Maths course in 2020/21 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2020/21.

1. About Circles

2. Circles – Worksheets

3. Circles – Videos, PowerPoints & Mind Maps

4. N5 Maths Essential Skills  

5. N5 Maths Exam Worksheets by Topic

6. Credit Maths Exam Worksheets by Topic

7. N5 Maths Exam Questions & Answers by Topic 

8. N5 Maths 180 Booster Papers  

9. N5 Maths Videos, PowerPoints, Mind Maps & Worksheets

10. N5 Maths SQA Past & Practice Papers

11. 100 N5 Maths Exam Questions & Answers

12. N5 Maths Exam Check Lists

13. N5 Maths Exam Focused Homework

14. N5 Maths Prelim Practice

15. N5 Maths Further Revision Practice

16. Credit & Int 2 Maths SQA Papers

17. 100 N5 Maths Lesson Starter Questions 

18. N5 Maths – Applications Unit Practice Assessment

19. N5 Maths – Expressions & Formulae Unit Practice Assessment

20. N5 Maths – Relationships Unit Practice Assessment

21. N5 Maths Mind Maps

22. N5 Maths PowerPoints

23. Maths Websites (Including Games/Puzzles)

24. Recommended National 5 Maths Books

25. N5 Maths Online Study Pack – Students looking for a ‘good’ Pass.

 

National 5 Maths Resources

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1. About Circles

For a more detailed explanation, please click on any of the links below:

Please also find in the section below several worksheets and solutions on this topic to help your understanding. Essential Skills worksheets 20 & 27, along with worksheets including actual SQA N5 Maths exam questions are highly recommended.

The exam question below asks to “calculate the size of angle BDF”

.        circle question

Source: N5 Maths, 2015, P1, Q3

The invention of the wheel is probably the most important invention of all time. Without the wheel, the world simply wouldn’t exist as we know it.

Through circles we can solve many problems in mathematics using knowledge of circle properties and the formulas for area A = πr² and circumference C =  πD.

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2. Circles – Worksheets

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Clear, easy to follow, step-by-step worked solutions to all Essential Skills worksheets and N5 Maths exam questions below are available in the Online Study Pack.

Worksheets
___________________________
Topic
____________________________________________
Answers
__________________________
Essential Skills 20Arcs and SectorsAnswers
Essential Skills 27Circle Calculations (Pythagoras) Answers
N5 Exam Worksheet 1Arcs & SectorsAnswers
N5 Exam Worksheet 2Shapes inside CirclesAnswers
N5 Exam Worksheet 3Pythagoras & CirclesAnswers
N5 Exam Worksheet 4Angles inside Shapes
N5 Exam Worksheet 5Circles & Pythagoras
N5 Exam Worksheet 6Arcs & Sectors
Credit Exam Worksheet 7CirclesAnswers
Credit Exam Worksheet 8Circles - Chords & PythagorasAnswers
Credit Exam Worksheet 9Circles - Pythagoras, Arc Length & Sector AreaAnswers Included On Worksheet
Credit Exam Worksheet 10Arcs & Sectors
Credit Exam Worksheet 11Triangles in Circles
GCSE Exam Worksheet 12Circle Theorems
GCSE Exam Worksheet 13Arc Length & Sector Area
GCSE Exam Worksheet 14Area & Circumference
GCSE Exam Worksheet 15Angles inside Polygons
Worksheet 1Circles - Exam Type Questions
Worksheet 2Circles - More Challenging Questions

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3. Circles – Videos, PowerPoints & Mind Maps

Thanks to the authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

YouKenMaths Videos
____________________________________
Larbert Maths Videos
_________________________
Maths 180 Video
______________
Mr Graham Maths Video
_____________________
PowerPoints
_______________________
Mind Maps
__________________
Circles and Angles PropertiesTangents to CirclesArcs & SectorsAngles in CirclesSymmetry in Circles - 1Circles
N5 Exam Questions - Area of a Sector (Basic) Isoceles Triangles in CirclesArc LengthSymmetry in Circles - 2Circles (PowerPoint)
N5 Exam Question - Area of a SectorAngles in a PolygonArea of a SectorTriangles inside Circles
N5 Maths - Area of a SectorArea of a SectorAngle at the CentreCircumference & Area
N5 Exam Ques - Length of an Arc (Basic) Length of an ArcArc Length
N5 Maths - Length of an ArcAngle at the CentreSector Area
N5 Exam Ques - Arc Length & Sector Area Arc Length & Sector Area
Symmetry in Circles 1

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4. N5 Maths Essential Skills  

Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used for general revision, homework, consolidation of a topic or preparation for assessments, tests and exams.

Clear, easy to follow, step-by-step worked solutions to all 30 Essential Skills worksheets are available in the Online Study Pack.

Essential Skills
_______________
Topic
_________________________
Answers
__________
Essential Skills
_________________
Topic
_________________________
Answers
___________
Essential Skills 1Multiplying Brackets - IndicesAnswersEssential Skills 16Using the DiscriminantAnswers
Essential Skills 2Completing the SquareAnswersEssential Skills 17Functional NotationAnswers
Essential Skills 3Simplifying SurdsAnswersEssential Skills 18Equation of a Straight LineAnswers
Essential Skills 4Algebraic Fractions 1AnswersEssential Skills 19Simultaneous EquationsAnswers
Essential Skills 5Changing the SubjectAnswersEssential Skills 20Arcs and SectorsAnswers
Essential Skills 6Fractional IndicesAnswersEssential Skills 21Algebraic Fractions 2Answers
Essential Skills 7Difference of Two SquaresAnswersEssential Skills 22VectorsAnswers
Essential Skills 8Multiplying Brackets 1AnswersEssential Skills 23Reversing the ChangeAnswers
Essential Skills 9Multiplying Brackets 2AnswersEssential Skills 24Simplifying IndicesAnswers
Essential Skills 10Factorising TrinomialsAnswersEssential Skills 25The Sine RuleAnswers
Essential Skills 11Calculations with Fractions 2AnswersEssential Skills 26The Cosine RuleAnswers
Essential Skills 12Standard DeviationAnswersEssential Skills 27Circle Calculations (Pythagoras)Answers
Essential Skills 13Quadratic FormulaAnswersEssential Skills 28SimilarityAnswers
Essential Skills 14Rationalising the DenominatorAnswersEssential Skills 29Appreciation and DepreciationAnswers
Essential Skills 15Trigonometric EquationsAnswersEssential Skills 30Quadratic EquationsAnswers

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5. N5 Maths Exam Worksheets by Topic 

Thanks to the SQA and authors for making the excellent resources below freely available. The worksheets by topic below are a fantastic study resource since they are actual SQA past paper exam questions.

Clear, easy to follow, step-by-step worked solutions to all SQA N5 Maths Questions below are available in the Online Study Pack.

Number
______
Topic
_______________________
Answers
_________
Number
______
Topic
_______________________
Answers
_________
1Mixed TopicsAnswers17Quadratic Formula Answers
2Arcs & SectorsAnswers18Quadratic ProblemsAnswers
3BearingsAnswers19Scientific NotationAnswers
4BracketsAnswers20Shapes inside CirclesAnswers
5Changing the SubjectAnswers21Similar ShapesAnswers
6Completing the SquareAnswers22Simultaneous EquationsAnswers
7Equations & InequalitiesAnswers23Sine & Cosine RulesAnswers
8FactorisingAnswers24Straight LinesAnswers
9FractionsAnswers25StatisticsAnswers
10Fractions (Algebraic)Answers26Triangle AreaAnswers
11FunctionsAnswers27Trig EquationsAnswers
12Indices & SurdsAnswers28Trig GraphsAnswers
13Nature of the RootsAnswers29Trig Graphs & EquationsAnswers
14ParabolasAnswers30Trig IdentitiesAnswers
15PercentagesAnswers31VectorsAnswers
16PythagorasAnswers32VolumeAnswers

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6. Credit Maths Exam Worksheets by Topic

Thanks to the SQA and authors for making the excellent resources below freely available. In 2015 N5 Maths replaced Credit Maths. The Credit worksheets by topic below are a fantastic additional study resource.

Number
______
Topic
___________________________
Answers
______________
Number
______
Topic
___________________________
Answers
______________
1Area & VolumeOn Worksheet20QuadraticsAnswers
2Area of a TriangleAnswers21Quadratic Eqns & GraphsOn Worksheet
3Changing the Subject Answers22Scientific Notation - 1 On Worksheet
4Circles & Chords - 1On Worksheet23Scientific Notation - 2Answers
5Circles & Chords - 2Answers24Shapes inside Circles - 1On Worksheet
6Cosine & Sine RulesAnswers25Shapes inside Circles - 2Answers
7Equations & Inequalities - 1On Worksheet26Similar Shapes - 1On Worksheet
8Equations & Inequalities - 2Answers27Similar Shapes - 2Answers
9FactorisingOn Worksheet28Simultaneous Equations - 1On Worksheet
10Fractions & NumeracyOn Worksheet29Simultaneous Equations - 2Answers
11Fractions (Algebraic) - 1On Worksheet30Sine & Cosine RulesAnswers
12Fractions (Algebraic) - 2Answers31Straight Lines - 1On Worksheet
13FunctionsOn Worksheet32Straight Lines - 2Answers
14Indices - 1On Worksheet33SurdsAnswers
15Indices - 2Answers34Trig EquationsAnswers
16Percentages - 1On Worksheet35Trig GraphsAnswers
17Percentages - 2Answers36Trig Graphs & EquationsOn Worksheet
18Pythagoras & Circles - 1On Worksheet37Volume - 1On Worksheet
19Pythagoras & Circles - 2Answers38Volume - 2Answers

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7. N5 Maths Exam Questions & Answers by Topic 

Thanks to the SQA and authors for making the excellent resources below freely available. Questions & answers have been split up by topic for your ease of reference.

Clear, easy to follow, step-by-step worked solutions to all N5 Maths Questions below are available in the Online Study Pack.

Year


________
Marking


_________
Arcs
and
Sectors
________
Area
and
Volume
________
Bearings


_______
Brackets


_______
Changing
the
Subject
_______
Completing
the
Square
_________
Equations
and
Inequalities
_________
Factorising


________
Fractions


________
Fractions
(Algebraic)

________
Functions


________
Indices
and
Surds
________
Nature
of
Roots
_______
Parabolas


_________
Percentages


_________
Pythagoras


________
Quadratic
Problems

________
Quadratic
Formula

________
Scientific
Notation

________
Shapes
Inside
Circles
_______
Similar
Shapes

_______
Simultaneous Equations

_________
Straight
Lines

_______
Statistics


_______
Trig
Equations

________
Trig
Graphs

_______
Trig
Identities

_______
Triangles


_________

Vectors


_______
2019 P1M.SchemeQ4Q3Q7Q14Q2Q1Q12Q9, 15Q11Q8Q6Q5Q13Q13Q10
2019 P2M.SchemeQ12Q3, 8Q10Q15Q16Q1, 4, 9Q11, 18Q6Q4Q18Q13Q14Q17Q3, 7, 11, 19Q2, 5
2018 P1M.SchemeQ17Q2Q14Q19a(i)Q5Q1Q11, 15Q8Q16, 19a(ii)Q5Q19bQ9Q3Q7Q12Q6Q18Q10Q4, 13
2018 P2M.SchemeQ2, 17Q7, 11, 17Q13Q4Q15Q6Q1, 11Q12, 16Q11Q12Q18Q14Q5Q8Q9, 13Q3, 10
2017 P1M.SchemeQ4Q10Q8Q3Q11Q1Q14Q9Q15Q13Q6, 13Q2, 12Q7Q5
2017 P2M.SchemeQ14Q6Q10Q9Q9bQ12Q2, 5Q7, 13Q4Q13Q11Q15Q3Q1, 8
2016 P1M.SchemeQ3Q8Q2Q9Q9Q6Q10Q12Q4Q5Q11Q1, 7
2016 P2M.SchemeQ7Q12Q9Q4Q13Q10Q1Q15Q2Q5Q11Q6Q14Q8, 16Q3
2015 P1 M.SchemeQ4Q2Q12Q1Q12Q13, 14Q7Q3Q11Q8Q5, 10Q6, 9
2015 P2M.SchemeQ10Q11Q13Q7Q2Q1, 8Q12Q14Q6Q9Q3, 9Q4, 5
Spec'n P1M.Scheme Q2, 7Q8Q9Q4Q4Q1Q11Q5, 7Q9Q12Q10Q6Q3
Spec'n P2M.SchemeQ11Q6Q13Q12Q4Q1, 7Q2Q9Q8Q10Q5Q3

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8. N5 Maths 180 Booster Papers

Thanks to maths180.com for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Booster Paper
_________________
Solutions
_____________
Booster Paper A1Solutions
Booster Paper A2Solutions
Booster Paper B1Solutions
Booster Paper B2Solutions
Booster Paper C1Solutions
Booster Paper C2Solutions
Booster Paper D1Solutions
Booster Paper D2Solutions

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9. N5 Maths Videos, PowerPoints, Mind Maps & Worksheets

Dozens of N5 Maths Videos, PowerPoints and Mind Maps provide quality lessons by topic. Also included are excellent revision worksheets, with actual SQA N5 Maths exam questions, to aid your understanding. 

Please click on our N5 Maths Videos & Worksheets dedicated page.

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10. N5 Maths SQA Past & Practice Papers 

Thanks to the SQA and maths180.com for making the excellent resources below freely available.

Clear, easy to follow, step-by-step worked solutions to all sixteen N5 Maths Past & Practice Papers below are available in the Online Study Pack.

Year
________
Paper Type
______________________
Exam/Practice Paper
___________________
Marking Scheme
_________________
2019National 5Exam PaperMarking Scheme
2018National 5Exam PaperMarking Scheme
2017National 5Exam PaperMarking Scheme
2016National 5Exam PaperMarking Scheme
2015National 5Exam PaperMarking Scheme
2014National 5Exam PaperMarking Scheme
2014N5 Specimen Paper 1Practice Paper 1Marking Scheme
2014N5 Specimen Paper 2Practice Paper 2Marking Scheme
2014N5 Practice Paper APractice AAnswers A
2014N5 Practice Paper BPractice BAnswers B
2014N5 Practice Paper CPractice CAnswers C
2014N5 Practice Paper DPractice DAnswers D
2014N5 Practice Paper EPractice EAnswers E
2014N5 Practice Paper FPractice FAnswers F
2018N5 Practice Paper GPractice GAnswers G
2018N5 Practice Paper HPractice HAnswers H
2018N5 Practice Paper IPractice IAnswers I

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11. 100 N5 Maths Exam Type Questions & Answers 

Thanks to the SQA and authors for making the excellent resources below freely available. Please try to do as many questions as possible, checking your answers as you go. If stuck, always ask your teacher for help as soon as possible.

Clear, easy to follow, step-by-step worked solutions to all 100 N5 Maths Questions below are available in the Online Study Pack.

Exam Questions
__________________________
Answers
_______________________________
Whole Booklet - With AnswersAnswers Included on Booklet
Whole Booklet - No AnswersAnswers Not Included on Booklet
Exam Ques 1 - 10Answers
Exam Ques 11 - 20Answers
Exam Ques 21 - 30Answers
Exam Ques 31 - 40Answers
Exam Ques 41 - 50Answers
Exam Ques 51 - 60Answers
Exam Ques 61 - 70Answers
Exam Ques 71 - 80Answers
Exam Ques 81 - 90Answers
Exam Ques 91 - 100Answers

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12. N5 Maths Exam Check Lists 

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Check List
_____________________________________________________
Link
_________
Acknowledgements/Comments
_________________________________________________________________
Check List 1 - N5 Learning HERECourtesy of Zeta Maths
Check List 2 - Whole Course (By Unit)HERECourtesy of Zeta Maths
Check List 3 - Expressions & FormulaeHERE Courtesy of Zeta Maths
Check List 4 - ApplicationsHERECourtesy of Zeta Maths
Check List 5 - RelationshipsHERECourtesy of Zeta Maths
Check List 6 - Formulae & Facts NOT given in the N5 Maths ExamHERECourtesy of Airdrie Academy Website
Check List 7 - Whole Course List of TopicsHEREExcellent check list for teachers & pupils to help track course progress
Check List 8 - Whole CourseHERE
N5 Maths Exam Formulae ListHERECourtesy of SQA

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13. N5 Maths Exam Focused Homework

Thanks to the SQA and authors for making the excellent resources below freely available. The exercises below are a fantastic resource which can also be used for revision prior to assessments, tests and the final exam.

Expressions & Formulae
_____________________
Relationships
_______________________________
Applications
___________________
Mixed Questions
______________________________________
Algebraic Fractions 1Equations & InequalitiesFractionsExam Revision 1
Algebraic Fractions 2FunctionsCompound InterestExam Revision 2
Arcs & SectorsPythagorasPercentagesExam Revision 3
FactorisingQuadraticsReversing a % ChangeExam Revision 4
IndicesQuadratic EquationsStatisticsExam Revision 5
Multiplying out BracketsQuadratic GraphsTrigonometry Exam Revision 6
Scientific NotationRearranging FormulaVectors 1Exam Revision 7
Surds & IndicesSimilar Shapes 1Vectors 2Exam Revision 8 - Challenging Questions
VolumeSimilar Shapes 2Exam Revision 9 - Challenging Questions
Simultaneous Eqns 1 - N5 Exam Exam Revision 10 - Challenging Questions
Simultaneous Eqns 2
Simultaneous Eqns 3
Straight Lines
Triangles in Circles
Trig Functions
Trig Graphs & Equations

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14. N5 Maths Prelim Practice 

Thanks to the SQA and authors for making the excellent resources below freely available. Please use the below for revision prior to assessments, tests and the final exam.

Name
_________________
Paper One
____________
Paper Two
____________
Marking
_____________
Acknowledgements
_________________________
N5 Prelim 1 Paper 1Paper 2Marking
N5 Prelim 2Paper 1Paper 2Marking Courtesy of Larkhall Academy
N5 Prelims A - L Papers A - LCourtesy of Larkhall Academy
Revision 1Paper 1Paper 2
Revision 2Paper 1Paper 2
Revision 3Paper 1Paper 2
Revision APaper 1Paper 2
Revision BPaper 1Paper 2
Revision CPaper 1Paper 2
Revision DPaper 1Paper 2
Revision EPaper 1Paper 2
Revision FPaper 1Paper 2
X-Mas RevisionHERE

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15. N5 Maths Further Revision Practice 

The excellent resources below are courtesy of Larkhall Academy. Please use the below for revision prior to assessments, tests and the final exam.

N5 Exam Revision
_____________________________________
Link
___________
Acknowledgements
_________________________
N5 Exam Papers A to F HERECourtesy of Larkhall Academy
N5 Exam Papers G to L HERECourtesy of Larkhall Academy
Applications Exam QuestionsHERECourtesy of Larkhall Academy
Expressions & Formulae Exam QuestionsHERECourtesy of Larkhall Academy
Relationships Exam QuestionsHERECourtesy of Larkhall Academy
Credit Exam Questions by Topic BookletHERECourtesy of Larkhall Academy
Credit Exam Questions by Topic AnswersHERECourtesy of Larkhall Academy

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16. Credit & Int 2 Maths SQA Papers

Thanks to the SQA for making the excellent resources below freely available. The SQA Past Papers below are a fantastic additional study resource.

Year
___________
Paper Type
______________________
Exam Paper
___________________
Marking Scheme
_________________
2015Intermediate 2Exam PaperMarking Scheme
2014Intermediate 2Exam PaperMarking Scheme
2013Intermediate 2Exam PaperMarking Scheme
2013CreditExam PaperMarking Scheme
2012Intermediate 2Exam PaperMarking Scheme
2012CreditExam PaperMarking Scheme
2011Intermediate 2Exam PaperMarking Scheme
2011CreditExam PaperMarking Scheme
2010Intermediate 2Exam PaperMarking Scheme
2010CreditExam PaperMarking Scheme
2009Intermediate 2Exam PaperMarking Scheme
2009CreditExam PaperMarking Scheme
2008Intermediate 2Exam PaperMarking Scheme
2008CreditExam PaperMarking Scheme
2007Intermediate 2Exam PaperMarking Scheme
2007CreditExam PaperMarking Scheme
2006Intermediate 2Exam PaperMarking Scheme
2006CreditExam PaperMarking Scheme
2005Intermediate 2Exam PaperMarking Scheme
2005CreditExam PaperMarking Scheme
2004Intermediate 2Exam PaperMarking Scheme
2004CreditExam PaperMarking Scheme
2003Intermediate 2Exam PaperMarking Scheme
2003CreditExam PaperSolutions
2002Intermediate 2Exam PaperMarking Scheme
2002CreditExam PaperSolutions
2001Intermediate 2Exam PaperSolutions
2001CreditExam PaperSolutions
2000Intermediate 2Exam PaperSolutions
2000CreditExam Paper
1992 - 1997CreditExam Papers & Answers

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17. 100 N5 Maths Lesson Starters

Thanks to the authors for making the excellent resources below freely available.

The start of the lesson is important for setting the tone. This is the time during the lesson for practising, revisiting and developing further those aspects of mathematics which need a ‘little but often’ approach. Additional Lesson Starters for S1 & S2 can be found by clicking on the Free S1 & S2 Home Page HERE

____________________________________________________________
Lesson Starter1Lesson Starter2Lesson Starter3Lesson Starter4Lesson Starter5
Lesson Starter6Lesson Starter7Lesson Starter8Lesson Starter9Lesson Starter10
Lesson Starter11Lesson Starter12Lesson Starter13Lesson Starter14Lesson Starter15
Lesson Starter16Lesson Starter17Lesson Starter18Lesson Starter19Lesson Starter20
Lesson Starter21Lesson Starter22Lesson Starter23Lesson Starter24Lesson Starter25
Lesson Starter26Lesson Starter27Lesson Starter28Lesson Starter29Lesson Starter30
Lesson Starter31Lesson Starter32Lesson Starter33Lesson Starter34Lesson Starter35
Lesson Starter36Lesson Starter37Lesson Starter38Lesson Starter39Lesson Starter40
Lesson Starter41Lesson Starter42Lesson Starter43Lesson Starter44Lesson Starter45
Lesson Starter46Lesson Starter47Lesson Starter48Lesson Starter49Lesson Starter50
Lesson Starter51Lesson Starter52Lesson Starter53Lesson Starter54Lesson Starter55
Lesson Starter56Lesson Starter57Lesson Starter58Lesson Starter59Lesson Starter60
Lesson Starter61Lesson Starter62Lesson Starter63Lesson Starter64Lesson Starter65
Lesson Starter66Lesson Starter67Lesson Starter68Lesson Starter69Lesson Starter70
Lesson Starter71Lesson Starter72Lesson Starter73Lesson Starter74Lesson Starter75
Lesson Starter76Lesson Starter77Lesson Starter78Lesson Starter79Lesson Starter80
Lesson Starter81Lesson Starter82Lesson Starter83Lesson Starter84Lesson Starter85
Lesson Starter86Lesson Starter87Lesson Starter88Lesson Starter89Lesson Starter90
Lesson Starter91Lesson Starter92Lesson Starter93Lesson Starter94Lesson Starter95
Lesson Starter96Lesson Starter97Lesson Starter98Lesson Starter99Lesson Starter100

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18. N5 Maths – Applications Unit Practice Assessment 

Thanks to the authors for making the excellent resources below freely available.

Applications
_____________________
Link
___________________________
Acknowledgements
__________________________
ApplicationsCheck ListCourtesy of Zeta Maths
ApplicationsPractice Booklet Courtesy of Gryffe High School
ApplicationsPractice Booklet Courtesy of Larkhall Academy
ApplicationsPractice Booklet - AnswersCourtesy of Larkhall Academy
ApplicationsPractice Test One
ApplicationsPractice Test One - Solutions
ApplicationsPractice Test Two
ApplicationsPractice Test Two - Solutions
ApplicationsPractice Test Three
Applications Exam Questions by TopicCourtesy of Larkhall Academy
Outcome1.1
Outcome1.2
Outcome1.3
Outcome1.4

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19. N5 Maths – Expressions & Formulae Unit Practice Assessment 

Thanks to the authors for making the excellent resources below freely available.

Expressions & Formulae
__________________________
Title
_______________________
Acknowledgements
______________________________
Expressions & FormulaeCheck ListCourtesy of Zeta Maths
Expressions & FormulaePractice Booklet Courtesy of Gryffe High School
Expressions & FormulaePractice Booklet - Part OneCourtesy of Larkhall Academy
Expressions & FormulaePart One - AnswersCourtesy of Larkhall Academy
Expressions & FormulaePractice Booklet - Part TwoCourtesy of Larkhall Academy
Expressions & FormulaePart Two - AnswersCourtesy of Larkhall Academy
Expressions & FormulaePractice Test One
Expressions & FormulaePractice Test One - Solutions
Expressions & FormulaePractice Test Two
Expressions & FormulaePractice Test Two - Solutions
Expressions & FormulaePractice Test Three
Expressions & FormulaePractice Test Four
Expressions & FormulaeExam Questions by TopicCourtesy of Larkhall Academy
Outcome1.1
Outcome1.2
Ourcome1.3
Outcome1.4

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20. N5 Maths – Relationships Unit Practice Assessment

Thanks to the authors for making the excellent resources below freely available.

Relationships
__________________
Title
______________________________
Acknowledgements
_____________________________
RelationshipsCheck ListCourtesy of Zeta Maths
RelationshipsPractice Booklet Courtesy of Gryffe High School
RelationshipsPractice Booklet - Part OneCourtesy of Larkhall Academy
RelationshipsPart One - AnswersCourtesy of Larkhall Academy
RelationshipsPractice Booklet - Part TwoCourtesy of Larkhall Academy
RelationshipsPart Two - Answers (Diagrams)Courtesy of Larkhall Academy
RelationshipsPart Two - AnswersCourtesy of Larkhall Academy
RelationshipsPractice Test One
RelationshipsPractice Test One - Solutions
RelationshipsPractice Test Two
RelationshipsPractice Test Three
RelationshipsExam Questions by TopicCourtesy of Larkhall Academy
Outcome1.1
Outcome 1.2
Outcome1.3
Outcome1.4

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21. N5 Maths Mind Maps

Thanks to the authors for making these freely available. Mind Maps are an excellent diagrammatic way of organising key ideas or concepts from lessons/text books.

Mind Map
____________
Topic
_________________________
Mind Map
____________
Topic
_______________________________
Mind Map 1CirclesMind Map 12Quadratic Functions PowerPoint
Mind Map 2Circles PowerPointMind Map 13Scientific Notation
Mind Map 3Comparing Data Mind Map 14Scientific Notation PowerPoint
Mind Map 4Comparing Data PowerPoint Mind Map 15Standard Deviation
Mind Map 5FactorisingMind Map 16Standard Deviation PowerPoint
Mind Map 6Factorising PowerPointMind Map 17Straight Lines
Mind Map 7FractionsMind Map 18Straight Lines PowerPoint
Mind Map 8Fractions PowerPoint Mind Map 19Simultaneous Equations
Mind Map 9PercentagesMind Map 20Simultaneous Equations PowerPoint
Mind Map 10Percentages PowerPointMind Map 21Trig Functions & Equations
Mind Map 11Quadratic FunctionsMind Map 22Trig Functions & Equations PowerPoint

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22. N5 Maths PowerPoints 

Thanks to the authors for making the excellent resources below freely available.

PowerPoint
_____________
Topic
___________________________________________
PowerPoint
_____________
Topic
____________________________________________
PowerPoint 1 Angles - Introduction PowerPoint 28Factorising - Common Factor
PowerPoint 2Angles - Corresponding & AlternatePowerPoint 29Factorising - Mixed Types
PowerPoint 3Area - Rectangle & TrianglePowerPoint 30Minutes to Decimals
PowerPoint 4Area - Rectangle, Triangle & CirclePowerPoint 31Multiplying Out Single Brackets
PowerPoint 5Area - ParallelogramPowerPoint 32Multiplying Out Double Brackets
PowerPoint 6Area - TrapeziumPowerPoint 33Negative Numbers
PowerPoint 7Area - TrianglePowerPoint 34Percentages
PowerPoint 8Area - Rhombus & KitePowerPoint 35Percentages, Non-Calculator
PowerPoint 9Area - Composite Shapes 1PowerPoint 36Percentages (% to Fractions & Decimals)
PowerPoint 10Area - Composite Shapes 2PowerPoint 37Percentages (10 Questions)
PowerPoint 11CirclesPowerPoint 36Percentages (Appreciation/Depreciation)
PowerPoint 12Circles - CircumferencePowerPoint 37Percentages - Reverse
PowerPoint 13Circles - Circum & AreaPowerPoint 39PowerPoint (Mixed Topics)
PowerPoint 14Circles - Arc LengthPowerPoint 40Prisms & Volume
PowerPoint 15Circles - Sector AreaPowerPoint 41Prisms (Sphere & Cone)
PowerPoint 16Circles - Arcs & SectorsPowerPoint 42Quadratic Functions
PowerPoint 17Circles - Symmetry Part 1PowerPoint 43Scientific Notation
PowerPoint 18Circles - Symmetry Part 2PowerPoint 44Simultaneous Equations
PowerPoint 19Circles - Triangles insidePowerPoint 45Speed Formula
PowerPoint 20Comparing DataPowerPoint 46Squaring Out Brackets
PowerPoint 21Compound InterestPowerPoint 47Standard Deviation
PowerPoint 22Decimals to MinutesPowerPoint 48Straight Lines 2
PowerPoint 23Distance FormulaPowerPoint 49Straight Line Equations
PowerPoint 24Dot & Box PlotsPowerPoint 50Time Formula
PowerPoint 25Distance, Speed & Time GraphsPowerPoint 51Trig Functions & Equations
PowerPoint 26Distance, Speed & TimePowerPoint 52Volume of Solids 1
PowerPoint 27FactorisingPowerPoint 53Volume of Solids 2

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23. Maths Websites (Including Games/Puzzles)

Thanks to the authors for making the excellent resources below freely available.

Website
__________
Name of Website
__________________________________________
Website
__________
Name of Website
____________________________________
Website 1Activity VillageWebsite 22maths dictionary
Website 2BBC GamesWebsite 23mathsstarters.net
Website 3ChessWebsite 24mathszone.co.uk
Website 4Cool Maths GamesWebsite 25Maths on Track
Website 5Corbett MathsWebsite 26mathsbot.com - Create Worksheets
Website 6Counton MathsWebsite 27mrcartermaths.com - Bronze, Silver & Gold
Website 7Curve Stitching (PowerPoint)Website 28multiplication.com
Website 8Curve Stitching TemplateWebsite 29nrich
Website 9Dads Worksheets.comWebsite 30primarygames.com
Website 10Don StewardWebsite 31primaryinteractive.co.uk
Website 11Dot to Dot - Precision MeasureWebsite 32primaryresources.co.uk
Website 12Fun BrainWebsite 33protractor lesson
Website 13GCSE - Exam Boards, Dates & Important InformationWebsite 34Sheffield Maths
Website 14hegartymathsWebsite 35sumdog.com
Website 15maths-games.orgWebsite 36superteacherworksheets
Website 16math-play.comWebsite 37teacherled.com
Website 17mathsticks.comWebsite 38topmarks.co.uk
Website 18maths PickleWebsite 39Woodland Resources
Website 19mathsisfun.comWebsite 40worksheetworks.com
Website 20math-drills.comWebsite 41Dynamic Maths
Website 21mathaids.com

.

24. Recommended N5 Maths Books

The highly recommended National 5 Maths books below can be used with students to compliment the material on this website. Click on the links below and order both books through amazon.co.uk.


                                     

TJ N5 Maths Text Book

This above can be used as a free-standing National 5 book for students, possibly in Secondary 4, 5 or 6, who have previously successfully completed a CfE Level 4 course, or equivalent.

  • TeeJay’s usual bight colourful pupil centred Textbook.
  • Each exercise is graded with the more problematic questions at the end.
  • National 5 Outcomes listed for easy reference
  • Contains a Chapter Zero that Revises the contents of TeeJays CfE 4+ Book.
  • Six Cumulative Home Exercises interspersed throughout the book.
  • Six Non Calculator Exercises throughout the book.
  • Each Chapter ends with a “Remember Remember” exercise as a summary.
  • The book ends with a Revision Chapter, consolidating the whole of the National 5 Course.
  • Contains a National 5 Specimen Paper 1 and Paper 2.

 

N5 Maths Success Guide

National 5 Mathematics Success Guide provides easy-to-use and value-for-money revision for all abilities and learning styles. Guidance on how the new National 5 course and assessments are structured is included. All the popular features of this tried and trusted series are retained in the new National 5 Guides.

• Colourful double-page spreads aid both comprehensive and revision planning
• Topics are broken down into small, easily managed sections, complemented with lots of diagrams and illustrations to aid retention
• Quick Tests and Top Tips help keep students focused on the exam’s precise demands
• Revision checklists help students to manage and track their progress in the lead up to the exam
• A glossary present all of the key terms and definitions essential for the exam

.

25. National 5 Maths 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 Circles to pass your final exam.

For students looking for a ‘good’ pass at National 5 Maths in 2021 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. 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 N5 Maths course in 2020/21.

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  • Hello, I am writing to thank you for your wonderful website! I subscribed when I was studying for my National 5 exam (as an adult learner) and found it invaluable. I am delighted to have just discovered the huge amount of resources for younger learners too. My son who is in S2 will benefit from these, now and in future, as will my daughter when she moves up to S1 after summer. So just wanted to say thanks very much! Kind regards, Clare.

    Clare – January 2020

  • Hey, Just wanted to say thank you so much for this amazing resource! Last year I was expecting to scrape a B in my N5 exam if I was lucky, and after discovering this website and working through it over the past year, my teacher said she’ll be surprised if I don’t get an A1!!! So once again, thank you so much!!!

    Olivia – 29th April 2019

  • Just wanted to say what a fantastic website you have here. So well laid out, easy to follow and as a parent trying to help their child with studying, this has been the best £9.99 ever spent. I will be continuing with this for Higher Maths and also for my younger child to ensure they are keeping up with the course. The worked solutions are so clear and easy to follow and I just cannot thank you enough. Wish there was something similar for the science subjects.

    Claire – April 2018

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  • Just had a look at the worked solutions for the 2018 N5 Math Past Paper – Calculator was absolutely fine, but some tricky questions in non-calculator part, particularly 19b. We found the non-calculator paper much harder than five previous past papers. Anyway hopefully she has achieved an ‘A’ Pass and we will definitely be using your excellent site for Higher Maths next term.

    Graham – May 2018

  • I just wanted to let you guys know that you are doing a great job at compiling all these excellent resources, it has been a great help to me and probably many many others. It has allowed me to get a reassuring prelim mark and has given me confidence for the final exam (tomorrow). Thanks for all the help and keep up the good work.

    Umar – May 2018

  • Hello, I decided to write to you to thank you for this website, it has helped me incredibly and the amount of content you have is amazing. I was very happy to discover the many practice papers you have as I had began to run out of papers to do once completed all the SQA past papers. The checklists for the three different units is very helpful and I will definitely be taking these to school with me on the day of my exam to look over! Thank you again for being so helpful to us, it is greatly appreciated and I will be placing any success I have during the National 5 exam on this website due to the endless resources and help you have available. Thank you 🙂 Emily, Nat 5 Maths student.

    Emily – April 2018

  • It is a great help to us this site, my daughter scored 86% in her prelim after doing the last 5 years past papers

     

    Mr Adams – March 2018

  • Hi there – we found your site an amazing help for nat 5 – in fact my son went from a C grade at prelim to an A for his nat 5 thanks to you.  Thank you – the best £9.99 I’ve spent in a long time!

    Ms McCallum – October 2017

  • Darcey, Secondary School Maths Student

    “My Dad and I have worked together through several topics and three Practice Past Papers. When I get stuck, the detailed worked solutions explain everything so clearly and even give alternative ways to find the correct answer –  Thank you so much for producing this fantastic resource.”

    Darcey, Secondary School Maths Student

  • “Just want to say what a fantastic resource this is.

    An absolute godsend for my Nat 4  and Nat 5 classes.

    Many thanks”.

     

    Mr Wilson, Teacher of Mathematics, Edinburgh (Sep 2016)

  • Dean,  Secondary School Maths student

    “The website is great!! It is very easy to navigate through and it has helped me understand many of the topics I was previously struggling with.”

    Dean, Secondary School Maths student

  • “The website is really easy to follow and has absolutely everything you need to pass.”

    Cameron, Secondary School Maths student

  • Ben,  Secondary School Maths Student

    “Everything about my Maths course is here on this fantastic website. I use the study guides all the time to help my classroom learning as everything is explained so clearly – I have no excuses so it is all down to me now!”

    Ben, Secondary School Maths Student

  • “I’d highly recommend this maths website to all parents wishing the best for their son or daughter. The clarity in which the topics have been explained through the study guides are simply first class.”

     

    Mr W, Mathematics Teacher

  • Ross, former National 5 Maths student

    “Hi, I am in my second year at Abertay University studying Forensics. Two years ago, while studying N5 Maths, my Maths teacher helped me realise my dreams by providing me with all the superb material which is now available on this website. With the right intention to study, everything is here for you to pass National 5 Maths”

    Ross, former National 5 Maths student

  • “This material is quite the best that I’ve discovered. It helps students to focus on one subject at a time, gaining confidence as they work through the revision guides and self check booklets.”

     

    Mr D, Mathematics Teacher

  • Marc, Secondary School Maths Student

    “The simplified methods in the study guides are easy to follow. I feel that I have progressed enormously with my Maths and I would encourage all pupils who are struggling to go onto this website as soon as possible.”

    Marc, Secondary School Maths Student

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    Sharon, Mature Maths Student

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    “I am studying GCSE Maths at College as I am hoping to go to University to study Accountancy. This website is just amazing!! I regularly refer to the Theory Guides to help me understand topics I am struggling with. The worked solutions in the Online Study Pack are also fantastic as it teaches me the correct way to lay out my working and, at the same time, check my answers.”

    Hollie, Mature Maths Student

  • “Although I am only in 3rd year we are working at National 5 level maths and have a Unit Assessment in the next few weeks. I really want to study Computer Games Development at University which requires me to pass Maths so I am studying hard now. The website is helping me so much.”

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Not just Circles, but 70 other maths concepts covered in detail

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