Completing the Square

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A sound understanding of Completing the Square is essential to ensure exam success.

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 you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack.

To access a wealth of additional free resources by topic please either use the above Search Bar or click HERE selecting on the topic you wish to study.

We hope the resources on this website prove useful and wish you the very best of success with your N5 Maths course in 2022. Please find below:

1. About Completing the Square

2. Completing the Square – Worksheets

3. Quadratics – 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 Completing the Square

To learn about Completing the Square please click on the Completing the Square Theory link. Please also find in Sections 2 & 3 below videos, PowerPoints, mind maps and worksheets on this topic to help your understanding. The Essential Skills 2 worksheet, along with actual SQA Exam Questions, are highly recommended. Worksheets 1 & 2 are excellent resources to consolidate your learning.

If you would like more help understanding Completing the Square there are clear, easy to follow, step-by-step worked solutions to dozens of N5 Maths Past & Practice exam questions on all topics in the Online Study Pack. Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.

Completing the Square

An N5 Maths question on Completing the Square is shown below:

Express x² – 14x + 44 in the form (x – a)² + b

Source: N5 Specimen 2014, P1, Q3

Answer/Process

x² – 14x + 44

= (x – 7)² – 49 + 44          ⇒  Half  (- 14 ⇒ – 7), Square (- 7² ⇒ 49) then Subtract (49 ⇒ – 49)

=   (x – 7)² – 5                   ⇒  Simplify

Notes

1.  x² – 14x + 44  is a ‘happy’ parabola ⇒ min shape because x² coefficient is positive
2. y = (x – 7)² – 5 has a tuning point of (7, -5) ⇒ Change sign on -7 to +7 and -5 stays the same
3. To find the y intercept ⇒  set x = 0 and solve for y

 

Completing the square involves changing the way a quadratic equation is written.

We complete the square to make it easier to draw parabolas (U-shaped curves).

Once the square has been completed, it is easy to extract information from the equation such as:

• The coordinates of the turning point
• Whether the parabola is a maximum or a minimum
• The nature of the roots
• The equation of the axis of symmetry
• Where the parabola cuts both the x & y axis

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2. Completing the Square – 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 the Essential Skills worksheet and N5 Maths exam questions below are available in the Online Study Pack.

N5 Maths Worksheets __________________________________	Worksheet - Without Answers _______________________________________	Worksheet - With Answers ______________________________	Courtesy _________________________________________________
Essential Skills 2	Completing the Square	Answers
N5 Exam Worksheet 1 - Recommended	Completing the Square	Answers Included on Worksheet
N5 Exam Worksheet 2	Completing the Square	Answers
Credit Exam Worksheet	Quadratics including Completing the Square	Answers
Worksheet 1	Completing the Square (With Theory)	On Worksheet
Worksheet 2	Completing the Square 1, With Answers	Answers
Worksheet 3	Completing the Square 2, With Answers	Answers
Worksheet 4	Completing the Square	Answers	Maths4Everyone.com kindly shared through TES website
Worksheet 5	Completing the Square - Advanced	Answers	Maths4Everyone.com kindly shared through TES website
Worksheet 6	Completing the Square - Question 3
Worksheet 7	Completing the Square
Worksheet 8	Completing the Square & Sketching

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3. Quadratics – 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 Video ________________________________	Larbert Maths Video ____________________	Maths 180 Videos _________________	Mr Graham Maths Videos ______________________	PowerPoints ___________________	Mind Maps ______________________________
N5 Exam Questions - Quadratic Formula	Completing the Square	Quadratics 1	Quadratic Equations 1	Factorising Quadratics	Quadratic Functions
		Quadratics 2	Quadratic Equations 2	Quadratics	Quadratic Functions (PowerPoint)
		Quadratics 3	Sketching Quadratics
		Quadratics 4	Quadratic Formula
		Quadratics 5	Sketching Quadratics 2

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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 1	Multiplying Brackets - Indices	Answers	Essential Skills 16	Using the Discriminant	Answers
Essential Skills 2	Completing the Square	Answers	Essential Skills 17	Functional Notation	Answers
Essential Skills 3	Simplifying Surds	Answers	Essential Skills 18	Equation of a Straight Line	Answers
Essential Skills 4	Algebraic Fractions 1	Answers	Essential Skills 19	Simultaneous Equations	Answers
Essential Skills 5	Changing the Subject	Answers	Essential Skills 20	Arcs & Sectors	Answers
Essential Skills 6	Fractional Indices	Answers	Essential Skills 21	Algebraic Fractions 2	Answers
Essential Skills 7	Difference of Two Squares	Answers	Essential Skills 22	Vectors	Answers
Essential Skills 8	Multiplying Brackets 1	Answers	Essential Skills 23	Reversing the % Change	Answers
Essential Skills 9	Multiplying Brackets 2	Answers	Essential Skills 24	Simplifying Indices	Answers
Essential Skills 10	Factorising Trinomials	Answers	Essential Skills 25	The Sine Rule	Answers
Essential Skills 11	Calculations with Fractions 2	Answers	Essential Skills 26	The Cosine Rule	Answers
Essential Skills 12	Standard Deviation	Answers	Essential Skills 27	Circle Calculations (Pythagoras)	Answers
Essential Skills 13	Quadratic Formula	Answers	Essential Skills 28	Similarity	Answers
Essential Skills 14	Rationalising the Denominator	Answers	Essential Skills 29	Appreciation & Depreciation	Answers
Essential Skills 15	Trig Equations	Answers	Essential Skills 30	Quadratic Equations (Solving)	Answers

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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.

N5 Exam Worksheets __________________________________	Worksheet - Without Answers _____________________________	Worksheet - With Answers _________________________________
N5 Exam Worksheet 1 - Recommended	Algebra	Answers Included on Worksheet
N5 Exam Worksheet 2 - Recommended	Arcs & Sectors (Inc Pythagoras)	Answers Included on Worksheet
N5 Exam Worksheet 3	Arcs & Sectors	Answers
N5 Exam Worksheet 4	Bearings	Answers
N5 Exam Worksheet 5	Brackets	Answers
N5 Exam Worksheet 6 - Recommended	Changing the Subject 1	Answers Included on Worksheet
N5 Exam Worksheet 7	Changing the Subject 2	Answers
N5 Exam Worksheet 8 - Recommended	Completing the Square 1	Answers Included on Worksheet
N5 Exam Worksheet 9	Completing the Square 2	Answers
N5 Exam Worksheet 10 - Recommended	Converse of Pythagoras	Answers Included on Worksheet
N5 Exam Worksheet 11 - Recommended	Equations & Inequations 1	Answers Included on Worksheet
N5 Exam Worksheet 12	Equations & Inequations 2	Answers
N5 Exam Worksheet 13	Factorising	Answers
N5 Exam Worksheet 14 - Recommended	Fractions 1	Answers Included on Worksheet
N5 Exam Worksheet 15	Fractions 2	Answers
N5 Exam Worksheet 16 - Recommended	Fractions (Algebraic) 1	Answers Included on Worksheet
N5 Exam Worksheet 17	Fractions (Algebraic) 2	Answers
N5 Exam Worksheet 18 - Recommended	Functions 1	Answers Included on Worksheet
N5 Exam Worksheet 19	Functions 2	Answers
N5 Exam Worksheet 20 - Recommended	Indices & Surds 1	Answers Included on Worksheet
N5 Exam Worksheet 21	Indices & Surds 2	Answers
N5 Exam Worksheet 22	Nature of the Roots	Answers
N5 Exam Worksheet 23 - Recommended	Parabolas/Quadratics 1	Answers Included on Worksheet
N5 Exam Worksheet 24	Parabolas/Quadratics 2	Answers
N5 Exam Worksheet 25 - Recommended	Percentages 1	Answers Included on Worksheet
N5 Exam Worksheet 26	Percentages 2	Answers
N5 Exam Worksheet 27 - Recommended	Properties of Shapes	Answers Included on Worksheet
N5 Exam Worksheet 28	Pythagoras (Inside Circles)	Answers
N5 Exam Worksheet 29 - Recommended	Pythagoras (Converse)	Answers Included on Worksheet
N5 Exam Worksheet 30	Quadratic Formula	Answers
N5 Exam Worksheet 31	Quadratic Problems	Answers
N5 Exam Worksheet 32 - Recommended	Scientific Notation 1	Answers Included on Worksheet
N5 Exam Worksheet 33	Scientific Notation 2	Answers
N5 Exam Worksheet 34	Shapes inside Circles	Answers
N5 Exam Worksheet 35 - Recommended	Similar Shapes 1	Answers Included on Worksheet
N5 Exam Worksheet 36	Similar Shapes 2	Answers
N5 Exam Worksheet 37 - Recommended	Simultaneous Equations 1	Answers Included on Worksheet
N5 Exam Worksheet 38	Simultaneous Equations 2	Answers
N5 Exam Worksheet 39	Sine & Cosine Rules	Answers
N5 Exam Worksheet 40 - Recommended	Straight Lines 1	Answers Included on Worksheet
N5 Exam Worksheet 41	Straight Lines 2	Answers
N5 Exam Worksheet 42 - Recommended	Statistics 1	Answers Included on Worksheet
N5 Exam Worksheet 43	Statistics 2	Answers
N5 Exam Worksheet 44	Triangle Area	Answers
N5 Exam Worksheet 45 - Recommended	Triangle Trigonometry	Answers Included on Worksheet
N5 Exam Worksheet 46	Trig Equations	Answers
N5 Exam Worksheet 47	Trig Graphs	Answers
N5 Exam Worksheet 48 - Recommended	Trig Graphs & Equations 1	Answers Included on Worksheet
N5 Exam Worksheet 49	Trig Graphs & Equations 2	Answers
N5 Exam Worksheet 50 - Recommended	Trig Identities 1	Answers Included on Worksheet
N5 Exam Worksheet 51	Trig Identities 2	Answers
N5 Exam Worksheet 52 - Recommended	Vectors 1	Answers Included on Worksheet
N5 Exam Worksheet 53	Vectors 2	Answers
N5 Exam Worksheet 54 - Recommended	Volume 1	Answers Included on Worksheet
N5 Exam Worksheet 55	Volume 2	Answers
N5 Maths Ultimate Revision Guide	Whole Booklet	Answers Included on Revision Guide

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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 ______________
1	Area & Volume	On Worksheet	20	Quadratics	Answers
2	Area of a Triangle	Answers	21	Quadratic Eqns & Graphs	On Worksheet
3	Changing the Subject	Answers	22	Scientific Notation - 1	On Worksheet
4	Circles & Chords - 1	On Worksheet	23	Scientific Notation - 2	Answers
5	Circles & Chords - 2	Answers	24	Shapes inside Circles - 1	On Worksheet
6	Cosine & Sine Rules	Answers	25	Shapes inside Circles - 2	Answers
7	Equations & Inequalities - 1	On Worksheet	26	Similar Shapes - 1	On Worksheet
8	Equations & Inequalities - 2	Answers	27	Similar Shapes - 2	Answers
9	Factorising	On Worksheet	28	Simultaneous Equations - 1	On Worksheet
10	Fractions & Numeracy	On Worksheet	29	Simultaneous Equations - 2	Answers
11	Fractions (Algebraic) - 1	On Worksheet	30	Sine & Cosine Rules	Answers
12	Fractions (Algebraic) - 2	Answers	31	Straight Lines - 1	On Worksheet
13	Functions	On Worksheet	32	Straight Lines - 2	Answers
14	Indices - 1	On Worksheet	33	Surds	Answers
15	Indices - 2	Answers	34	Trig Equations	Answers
16	Percentages - 1	On Worksheet	35	Trig Graphs	Answers
17	Percentages - 2	Answers	36	Trig Graphs & Equations	On Worksheet
18	Pythagoras & Circles - 1	On Worksheet	37	Volume - 1	On Worksheet
19	Pythagoras & Circles - 2	Answers	38	Volume - 2	Answers

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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 P1

M.Scheme

Q4

Q3

Q7

Q14

Q2

Q1

Q12

Q9, 15

Q11

Q8

Q6

Q5

Q13

Q13

Q10

2019 P2

M.Scheme

Q12

Q3, 8

Q10

Q15

Q16

Q1, 4, 9

Q11, 18

Q6

Q4

Q18

Q13

Q14

Q17

Q3, 7, 11, 19

Q2, 5

2018 P1

M.Scheme

Q17

Q2

Q14

Q19a(i)

Q5

Q1

Q11, 15

Q8

Q16, 19a(ii)

Q5

Q19b

Q9

Q3

Q7

Q12

Q6

Q18

Q10

Q4, 13

2018 P2

M.Scheme

Q2, 17

Q7, 11, 17

Q13

Q4

Q15

Q6

Q1, 11

Q12, 16

Q11

Q12

Q18

Q14

Q5

Q8

Q9, 13

Q3, 10

2017 P1

M.Scheme

Q4

Q10

Q8

Q3

Q11

Q1

Q14

Q9

Q15

Q13

Q6, 13

Q2, 12

Q7

Q5

2017 P2

M.Scheme

Q14

Q6

Q10

Q9

Q9b

Q12

Q2, 5

Q7, 13

Q4

Q13

Q11

Q15

Q3

Q1, 8

2016 P1

M.Scheme

Q3

Q8

Q2

Q9

Q9

Q6

Q10

Q12

Q4

Q5

Q11

Q1, 7

2016 P2

M.Scheme

Q7

Q12

Q9

Q4

Q13

Q10

Q1

Q15

Q2

Q5

Q11

Q6

Q14

Q8, 16

Q3

2015 P1

M.Scheme

Q4

Q2

Q12

Q1

Q12

Q13, 14

Q7

Q3

Q11

Q8

Q5, 10

Q6, 9

2015 P2

M.Scheme

Q10

Q11

Q13

Q7

Q2

Q1, 8

Q12

Q14

Q6

Q9

Q3, 9

Q4, 5

Spec'n P1

M.Scheme

Q2, 7

Q8

Q9

Q4

Q4

Q1

Q11

Q5, 7

Q9

Q12

Q10

Q6

Q3

Spec'n P2

M.Scheme

Q11

Q6

Q13

Q12

Q4

Q1, 7

Q2

Q9

Q8

Q10

Q5

Q3

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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 ________________	Questions & Solutions ___________________________
Booster Paper A1	Solutions Only	A1 Paper - Questions & Solutions
Booster Paper A2	Solutions Only	A2 Paper - Questions & Solutions
Booster Paper B1	Solutions Only	B1 Paper - Questions & Solutions
Booster Paper B2	Solutions Only	B2 Paper - Questions & Solutions
Booster Paper C1	Solutions Only	C1 Paper - Questions & Solutions
Booster Paper C2	Solutions Only	C2 Paper - Questions & Solutions
Booster Paper D1	Solutions Only	D1 Paper - Questions & Solutions
Booster Paper D2	Solutions Only	D2 Paper - Questions & Solutions
All Booster Papers	Solutions Only	All Papers - Questions & Solutions

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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 ________________________________
2019	National 5	Exam Paper	Marking Scheme
2018	National 5	Exam Paper	Marking Scheme
2017	National 5	Exam Paper	Marking Scheme
2016	National 5	Exam Paper	Marking Scheme
2015	National 5	Exam Paper	Marking Scheme
2014	National 5	Exam Paper	Marking Scheme
2014	N5 Specimen Paper 1	Practice Paper 1	Marking Scheme
2014	N5 Specimen Paper 2	Practice Paper 2	Marking Scheme
2014	N5 Practice Paper A	Practice A	Answers A
2014	N5 Practice Paper B	Practice B	Answers B
2014	N5 Practice Paper C	Practice C	Answers C
2014	N5 Practice Paper D	Practice D	Answers D
2014	N5 Practice Paper E	Practice E	Answers E
2014	N5 Practice Paper F	Practice F	Answers F
2018	N5 Practice Paper G	Practice G	Answers G
2018	N5 Practice Paper H	Practice H	Answers H
2018	N5 Practice Paper I	Practice I	Answers I
2014 - 2019	N5 Maths Ultimate Revision Guide	Whole Booklet	Answers Included on Revision Guide

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

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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 - Linking TJ N5 Text Book to Past Papers	HERE	Excellent resource linking N5 TJ Book to Past Paper Questions - Thanks to CHS School
Check List 2 - N5 Learning	HERE	Courtesy of Zeta Maths
Check List 3 - Whole Course (By Unit)	HERE	Courtesy of Zeta Maths
Check List 4 - Expressions & Formulae	HERE	Courtesy of Zeta Maths
Check List 5 - Applications	HERE	Courtesy of Zeta Maths
Check List 6 - Relationships	HERE	Courtesy of Zeta Maths
Check List 7 - Facts NOT given in the N5 Maths Exam	HERE	Courtesy of Airdrie Academy Website
Check List 8 - Whole Course List of Topics	HERE	Excellent check list for teachers & pupils to help track course progress
Check List 9 - Whole Course	HERE
N5 Maths Exam Formulae List	HERE	Courtesy 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 1	Equations & Inequalities	Fractions	Exam Revision 1
Algebraic Fractions 2	Functions	Compound Interest	Exam Revision 2
Arcs & Sectors	Pythagoras	Percentages	Exam Revision 3
Factorising	Quadratics	Reversing a % Change	Exam Revision 4
Indices	Quadratic Equations	Statistics	Exam Revision 5
Multiplying out Brackets	Quadratic Graphs	Trigonometry	Exam Revision 6
Scientific Notation	Rearranging Formula	Vectors 1	Exam Revision 7
Surds & Indices	Similar Shapes 1	Vectors 2	Exam Revision 8 - Challenging Questions
Volume	Similar Shapes 2		Exam 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 _______________________	Paper/Answers ______________________________	Answers _________	Acknowledgements _________________________
Prelim Revision Special	Questions, (X-Mas Theme)	Questions & Answers, (X-Mas Theme)	Answers
N5 Prelim 1	Paper 1	Paper 2	Answers
N5 Prelim 2	Paper 1	Paper 2	Answers	Courtesy of Larkhall Academy
N5 Prelim A - L Booklet	Prelim Papers A - L	Answers on Booklet		Courtesy of Larkhall Academy
N5 Exam Papers A to F Booklet	Exam Papers A to F	Answers		Courtesy of Larkhall Academy
N5 Exam Papers G to L Booklet	Exam Papers G to L	Answers		Courtesy of Larkhall Academy
Prelim Revision Papers 1, 2 & 3	Papers 1, 2 & 3

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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 Maths 5 a Day Exam Preparation	5 a Day, Answers	From TES Website
Applications Exam Questions	HERE	Courtesy of Larkhall Academy
Expressions & Formulae Exam Questions	HERE	Courtesy of Larkhall Academy
Relationships Exam Questions	HERE	Courtesy of Larkhall Academy
Credit Exam Questions by Topic Booklet	HERE	Courtesy of Larkhall Academy
Credit Exam Questions by Topic Answers	HERE	Courtesy 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 _________________
2015	Intermediate 2	Exam Paper	Marking Scheme
2014	Intermediate 2	Exam Paper	Marking Scheme
2013	Intermediate 2	Exam Paper	Marking Scheme
2013	Credit	Exam Paper	Marking Scheme
2012	Intermediate 2	Exam Paper	Marking Scheme
2012	Credit	Exam Paper	Marking Scheme
2011	Intermediate 2	Exam Paper	Marking Scheme
2011	Credit	Exam Paper	Marking Scheme
2010	Intermediate 2	Exam Paper	Marking Scheme
2010	Credit	Exam Paper	Marking Scheme
2009	Intermediate 2	Exam Paper	Marking Scheme
2009	Credit	Exam Paper	Marking Scheme
2008	Intermediate 2	Exam Paper	Marking Scheme
2008	Credit	Exam Paper	Marking Scheme
2007	Intermediate 2	Exam Paper	Marking Scheme
2007	Credit	Exam Paper	Marking Scheme
2006	Intermediate 2	Exam Paper	Marking Scheme
2006	Credit	Exam Paper	Marking Scheme
2005	Intermediate 2	Exam Paper	Marking Scheme
2005	Credit	Exam Paper	Marking Scheme
2004	Intermediate 2	Exam Paper	Marking Scheme
2004	Credit	Exam Paper	Marking Scheme
2003	Intermediate 2	Exam Paper	Marking Scheme
2003	Credit	Exam Paper	Solutions
2002	Intermediate 2	Exam Paper	Marking Scheme
2002	Credit	Exam Paper	Solutions
2001	Intermediate 2	Exam Paper	Solutions
2001	Credit	Exam Paper	Solutions
2000	Intermediate 2	Exam Paper	Solutions
2000	Credit	Exam Paper
1992 - 1997	Credit	Exam 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 Starter	1	Lesson Starter	2	Lesson Starter	3	Lesson Starter	4	Lesson Starter	5
Lesson Starter	6	Lesson Starter	7	Lesson Starter	8	Lesson Starter	9	Lesson Starter	10
Lesson Starter	11	Lesson Starter	12	Lesson Starter	13	Lesson Starter	14	Lesson Starter	15
Lesson Starter	16	Lesson Starter	17	Lesson Starter	18	Lesson Starter	19	Lesson Starter	20
Lesson Starter	21	Lesson Starter	22	Lesson Starter	23	Lesson Starter	24	Lesson Starter	25
Lesson Starter	26	Lesson Starter	27	Lesson Starter	28	Lesson Starter	29	Lesson Starter	30
Lesson Starter	31	Lesson Starter	32	Lesson Starter	33	Lesson Starter	34	Lesson Starter	35
Lesson Starter	36	Lesson Starter	37	Lesson Starter	38	Lesson Starter	39	Lesson Starter	40
Lesson Starter	41	Lesson Starter	42	Lesson Starter	43	Lesson Starter	44	Lesson Starter	45
Lesson Starter	46	Lesson Starter	47	Lesson Starter	48	Lesson Starter	49	Lesson Starter	50
Lesson Starter	51	Lesson Starter	52	Lesson Starter	53	Lesson Starter	54	Lesson Starter	55
Lesson Starter	56	Lesson Starter	57	Lesson Starter	58	Lesson Starter	59	Lesson Starter	60
Lesson Starter	61	Lesson Starter	62	Lesson Starter	63	Lesson Starter	64	Lesson Starter	65
Lesson Starter	66	Lesson Starter	67	Lesson Starter	68	Lesson Starter	69	Lesson Starter	70
Lesson Starter	71	Lesson Starter	72	Lesson Starter	73	Lesson Starter	74	Lesson Starter	75
Lesson Starter	76	Lesson Starter	77	Lesson Starter	78	Lesson Starter	79	Lesson Starter	80
Lesson Starter	81	Lesson Starter	82	Lesson Starter	83	Lesson Starter	84	Lesson Starter	85
Lesson Starter	86	Lesson Starter	87	Lesson Starter	88	Lesson Starter	89	Lesson Starter	90
Lesson Starter	91	Lesson Starter	92	Lesson Starter	93	Lesson Starter	94	Lesson Starter	95
Lesson Starter	96	Lesson Starter	97	Lesson Starter	98	Lesson Starter	99	Lesson Starter	100

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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 __________________________
Applications	Check List	Courtesy of Zeta Maths
Applications	Practice Booklet	Courtesy of Gryffe High School
Applications	Practice Booklet	Courtesy of Larkhall Academy
Applications	Practice Booklet - Answers	Courtesy of Larkhall Academy
Applications	Practice Test One
Applications	Practice Test One - Solutions
Applications	Practice Test Two
Applications	Practice Test Two - Solutions
Applications	Practice Test Three
Applications	Exam Questions by Topic	Courtesy of Larkhall Academy
Outcome	1.1
Outcome	1.2
Outcome	1.3
Outcome	1.4

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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 & Formulae	Check List	Courtesy of Zeta Maths
Expressions & Formulae	Practice Booklet	Courtesy of Gryffe High School
Expressions & Formulae	Practice Booklet - Part One	Courtesy of Larkhall Academy
Expressions & Formulae	Part One - Answers	Courtesy of Larkhall Academy
Expressions & Formulae	Practice Booklet - Part Two	Courtesy of Larkhall Academy
Expressions & Formulae	Part Two - Answers	Courtesy of Larkhall Academy
Expressions & Formulae	Practice Test One
Expressions & Formulae	Practice Test One - Solutions
Expressions & Formulae	Practice Test Two
Expressions & Formulae	Practice Test Two - Solutions
Expressions & Formulae	Practice Test Three
Expressions & Formulae	Practice Test Four
Expressions & Formulae	Exam Questions by Topic	Courtesy of Larkhall Academy
Outcome	1.1
Outcome	1.2
Ourcome	1.3
Outcome	1.4

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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 _____________________________
Relationships	Check List	Courtesy of Zeta Maths
Relationships	Practice Booklet	Courtesy of Gryffe High School
Relationships	Practice Booklet - Part One	Courtesy of Larkhall Academy
Relationships	Part One - Answers	Courtesy of Larkhall Academy
Relationships	Practice Booklet - Part Two	Courtesy of Larkhall Academy
Relationships	Part Two - Answers (Diagrams)	Courtesy of Larkhall Academy
Relationships	Part Two - Answers	Courtesy of Larkhall Academy
Relationships	Practice Test One
Relationships	Practice Test One - Solutions
Relationships	Practice Test Two
Relationships	Practice Test Three
Relationships	Exam Questions by Topic	Courtesy of Larkhall Academy
Outcome	1.1
Outcome	1.2
Outcome	1.3
Outcome	1.4

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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 1	Circles	Mind Map 12	Quadratic Functions PowerPoint
Mind Map 2	Circles PowerPoint	Mind Map 13	Scientific Notation
Mind Map 3	Comparing Data	Mind Map 14	Scientific Notation PowerPoint
Mind Map 4	Comparing Data PowerPoint	Mind Map 15	Standard Deviation
Mind Map 5	Factorising	Mind Map 16	Standard Deviation PowerPoint
Mind Map 6	Factorising PowerPoint	Mind Map 17	Straight Lines
Mind Map 7	Fractions	Mind Map 18	Straight Lines PowerPoint
Mind Map 8	Fractions PowerPoint	Mind Map 19	Simultaneous Equations
Mind Map 9	Percentages	Mind Map 20	Simultaneous Equations PowerPoint
Mind Map 10	Percentages PowerPoint	Mind Map 21	Trig Functions & Equations
Mind Map 11	Quadratic Functions	Mind Map 22	Trig 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 28	Factorising - Common Factor. Factorising - Mixed Types
PowerPoint 2	Angles - Corresponding & Alternate	PowerPoint 29	Foreign Exchange
PowerPoint 3	Area - Rectangle & Triangle	PowerPoint 30	Minutes to Decimals
PowerPoint 4	Area - Rectangle, Triangle & Circle	PowerPoint 31	Multiplying Out Single Brackets
PowerPoint 5	Area - Parallelogram	PowerPoint 32	Multiplying Out Double Brackets
PowerPoint 6	Area - Trapezium	PowerPoint 33	Negative Numbers
PowerPoint 7	Area - Triangle	PowerPoint 34	Percentages
PowerPoint 8	Area - Rhombus & Kite	PowerPoint 35	Percentages, Non-Calculator
PowerPoint 9	Area - Composite Shapes 1	PowerPoint 36	Percentages (% to Fractions & Decimals)
PowerPoint 10	Area - Composite Shapes 2	PowerPoint 37	Percentages (10 Questions)
PowerPoint 11	Circles	PowerPoint 36	Percentages (Appreciation/Depreciation)
PowerPoint 12	Circles - Circumference	PowerPoint 37	Percentages - Reverse
PowerPoint 13	Circles - Circum & Area	PowerPoint 39	PowerPoint (Mixed Topics)
PowerPoint 14	Circles - Arc Length	PowerPoint 40	Prisms & Volume
PowerPoint 15	Circles - Sector Area	PowerPoint 41	Prisms (Sphere & Cone)
PowerPoint 16	Circles - Arcs & Sectors	PowerPoint 42	Quadratic Functions
PowerPoint 17	Circles - Symmetry Part 1	PowerPoint 43	Scientific Notation
PowerPoint 18	Circles - Symmetry Part 2	PowerPoint 44	Simultaneous Equations
PowerPoint 19	Circles - Triangles inside	PowerPoint 45	Speed Formula
PowerPoint 20	Comparing Data	PowerPoint 46	Squaring Out Brackets
PowerPoint 21	Compound Interest	PowerPoint 47	Standard Deviation
PowerPoint 22	Decimals to Minutes	PowerPoint 48	Straight Lines 2
PowerPoint 23	Distance Formula	PowerPoint 49	Straight Line Equations
PowerPoint 24	Dot & Box Plots	PowerPoint 50	Time Formula
PowerPoint 25	Distance, Speed & Time Graphs	PowerPoint 51	Trig Functions & Equations
PowerPoint 26	Distance, Speed & Time	PowerPoint 52	Volume of Solids 1
PowerPoint 27	Factorising	PowerPoint 53	Volume 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 1	Activity Village	Website 22	maths dictionary
Website 2	BBC Games	Website 23	mathsstarters.net
Website 3	Blooket	Website 24	mathszone.co.uk
Website 4	Chess	Website 25	Maths on Track
Website 5	Cool Maths Games	Website 26	mathsbot.com - Create Worksheets
Website 6	Corbett Maths	Website 27	mrcartermaths.com - Bronze, Silver & Gold
Website 7	Counton Maths	Website 28	multiplication.com
Website 8	Curve Stitching Template, Curve Stitching (PowerPoint)	Website 29	nrich
Website 9	Dads Worksheets.com	Website 30	primarygames.com
Website 10	Don Steward	Website 31	primaryinteractive.co.uk
Website 11	Dot to Dot - Precision Measure	Website 32	primaryresources.co.uk
Website 12	Fun Brain	Website 33	protractor lesson
Website 13	GCSE - Exam Boards, Dates & Important Information	Website 34	Sheffield Maths
Website 14	hegartymaths	Website 35	sumdog.com
Website 15	maths-games.org	Website 36	superteacherworksheets
Website 16	math-play.com	Website 37	teacherled.com
Website 17	mathsticks.com	Website 38	topmarks.co.uk
Website 18	maths Pickle	Website 39	Woodland Resources
Website 19	mathsisfun.com	Website 40	worksheetworks.com
Website 20	math-drills.com	Website 41	Dynamic Maths
Website 21	mathaids.com

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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

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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 Completing the Square to pass your final exam.

For students looking for a ‘good’ pass at N5 Maths you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. Subscribing could end up being one of your best ever investments.

Please give yourself every opportunity for success, speak with your parents, and subscribe to the exam focused Online Study Pack today.

We hope you find this website useful and wish you the very best of success with N5 Maths in 2022.

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