national 5 maths homework answers

Maths Homework and Revision – National 5 Mathematics

National 5 Revision Booklet – worksheets

Useful Websites:

Scholar   – ask your teacher for your log in  details if forgotten!

National 5 Resources – Exam questions and topic specific worksheets

Study Maths website    – lots of interactive worksheets where you can test yourself!

Maths Tutor  – lots of revision questions (pick a topic from the left hand side)

Maths Revision.com  – lots of revision notes and worksheets

BBC Education notes  – lots of revision notes and questions

SQA Website

National 5 Past Paper solutions – YouTube playlist (2014 – present)

Past Paper Hints website

Past Exam Papers

(Remember Int 2 and Credit are similar to Nat 5 but not exactly the same):

Nat 5 Maths 2022 Paper 1   Paper2

Nat 5 Maths 2021 Paper 1 & 2

Nat 5 Maths_2019 Paper 1 & 2

Nat 5 Maths_2018 Paper 1 & 2

Nat 5 Maths 2017 Paper 1 & 2

Nat 5 Maths 2016 Papers 1 & 2

Nat 5 Maths 2015 Papers 1 & 2

Nat 5 Maths 2014 Papers 1 & 2

Nat 5 Maths 1st specimen:

Paper 1   or  Paper 2

Nat 5 Maths 2nd specimen:

Paper 1 or  Paper 2

Int 2 2013 Paper 1 & 2

Int2_2012 Paper 1 & 2

Int2_2011 Paper 1 & 2

Int2_2010 Paper 1 & 2

Int 2 2009 Paper 1 & 2

Int 2 2008 Paper 1      Paper 2

Int 2 2007 Paper 1     Paper 2

2019 Marking Scheme

2018 Marking Scheme

2017 Marking Scheme

2016 Marking Scheme

2015 Marking Scheme

2014 Marking Scheme

(Scroll to end of paper for solutions)

2013 Marking P1    Marking P2

2012 Marking P1    Marking P2

2011 Marking P1    Marking P2

2010 Marking P1    Marking P2

2009 Marking P1   Marking P2

2008 Marking P1    Marking P2

2007 Marking P1    Marking P2

Here are some more Nat 5 style papers (not official SQA ones but still good):

Paper A answers

Paper B answers

Paper C answers

Paper D answers

Paper E answers

Paper F answers

SQA Exam Questions by Topic:

Applications.

Area of a triangle, sine and cosine rule

Non Calc Number

Percentages

Probability

Scientific Notation

Expressions and Formulae

Algebraic Fractions

Area and Volume

Equations, inequations & algebra

Factorising

Straight Line

Surds and Indices

Relationships

Simultaneous Eqns

Trig Graphs

Features of parabolas

Quadratic Graphs

Solving quadratics by factorising

Revision Sheets by Topic::

Percentages (Money 2)

Percentages (Money)

Area of a triangle, Sine rule and Cosine rule

Bar, Line, Scatter, Pie and Stem&Leaf

Line of Best Fit

Mean, Mode, Median, Standard Deviation

Removing brackets and factorising

Completing the Square

Completing the square Exam Style Questions

Algebraic fractions

Gradient Formula

Arcs and sectors version 2

Arcs and sectors

Volume of 3D shapes

Significant Figures

Equation of straight line

Equations and Inequalities

Simultaneous Equations

Subject of Formula

Parabolas (2)

Quadratic Graphs 2

Featrues of parabolas (2)

Solving quadratics factorising and formula

Pythagoras and Percentages

Angles inc parallel lines

Similar Shapes

Similar_Triangles

SimilarAreasandVolumes

Solving trig equations

Exam Revision

Dalkeith High School Nat 5 Exam Paper Revision Booklet

Nat5 Maths Pupil Revision Booklet

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Dynamic Maths

FREE adaptable dynamic worksheets and other resources for teaching maths. Also selling revision notes and revision packs for Scottish SQA maths courses.

Free Dynamic Worksheets and Resources   -   SQA Exam Question Bank   -   Buy REVISION NOTES and REVISION PACKS   -   Subscribe to Email Updates   -   Contact Us

National 5 Mathematics

This page contains free Dynamic Worksheets relating to the National 5 Mathematics course. If you want resources for other levels of course, go to our Free Resources homepage .

Free Resources:

• National 5 Maths Question and Answer Key Facts booklet (see other levels of booklet here )
• SQA Exam Question Bank: National 5 Maths (a database of all past exam questions, including questions from the old Standard Grade and Intermediate 2 syllabi going back to the 1990s)

Resources that can be purchased in our Online Store:

These are the only resources on this site that require payment. Every other resource listed is entirely free.

• National 5 Maths Revision Notes (cost: £35 for schools/colleges/tutors, £8 for individual learners, parents or carers. Bulk discount available if purchasing more than one level.)
• National 5 Maths PRELIM for 2020-2021 (cost: £20. Bulk discount available if purchasing more than one level)

Free Dynamic Worksheets covering entire course:

• Nat5-noncalc : mixed non-calculator practice questions for National 5

Free Solver Spreadsheets (easy ways for teachers to check answers to questions):

• Cosine rule with angles solver - enter the three sides of any triangle, and the sheet calculates all three angles in that triangle. Allows you to check correct answers and to check if wrong answers have been followed through correctly.
• Cosine rule for lengths solver - enter two sides and the angle in between those two sides, and the sheet calculates the third side and other two angles for that triangle. Allows you to check correct answers and to check if wrong answers have been followed through correctly.
• Quartile solver : you input a data set, and the spreadsheet works out the median, quartiles and the semi-interquartile range
• Standard Deviation solver : you input a data set, and the spreadsheet works out the standard deviation, and all associated quantities - helps with checking working

Free Dynamic Worksheets covering specific topics at this level:

Looking for maths tutoring? Saturday School Scotland offer tutoring for National 5 and Higher Mathematics and use Dynamic Maths revision notes

© 2011-2024 Dynamic Maths.       Website hosted by Bravec Media .           GDPR Privacy Notice

Armadale Academy Mathematics Department

Here you will find a range of resources to support with the National 5 Mathematics course.

S4 Prelim Revision – Prelim Revision for S4 National 5 classes

S5/6 Prelim Revision – Speak to your teacher about topics covered! Prelim Revision for S5/6 National 5 classes

Assessment 2 Revision Booklet – Revision booklet with answers for the assessment in around October

Assessment 1 Revision Booklet – Revision booklet with answers for the assessment around August

Nightly Homework Questions  – created by Mr Rogan, these are a mixture of shorter and longer exam-style questions that can be completed each evening, providing valuable practice.

YouKenMaths – Mr Milligan’s YouTube channel, contains a lot of worked questions across all levels.

National 5 Evaluation Document

Past Paper Questions  (organised by topic) – created by Mrs Macaulay, these contain questions from the past few years of National 5 / Standard Grade Credit / Intermediate 2 past papers, organised by the topic you want.

Breaking Brackets Solutions

Indices Solutions

Surds Solutions

Scientific Notation Solutions

Fractions  (both numerical and algebraic) Solutions

Arc Length and Sector Area Solutions

Volume Solutions

Factorising Solutions

The Straight Line Solutions

Equations Solutions

Inequations Solutions

Simultaneous Equations Solutions

Quadratic Formula Solutions

Quadratic Equations & Parabolas Solutions

Pythagoras’ Theorem Solutions

Similar Figures Solutions

Functions Solutions

Trigonometric Equations Solutions

Using Trigonometry – Finding Sides and Lengths , Finding Areas Solutions – Side Length, Area

Vectors Solutions

Percentages Solutions

Working with Fractions Solutions

• Scatter Graphs Solutions

National 5 Mock Assessment & Solutions

Questions  (in Zip format)

Mr Stirling’s 100 Questions

Mr Stirling’s 100 Questions Answers

There are two files shown below. Your teacher will tell you what file to access, and what exercise you should be completing for homework. You can also use these resources for extra revision.

National 5 Homework Pack A

National 5 Homework Pack B

National 5 Pegasys Resources – Expressions and Formulae

National 5 Pegasys Resources – Relationships

National 5 Pegasys Resources – Applications

Free Revision Materials for National 4, 5 and Higher

National 4+ mathematics learning checklist.

This checklist covers all the learning required for the National 4 unit assessments and added value assessment. Each section corresponds to a chapter and section  in the National 4+ book. The checklist can be used with or without the book.

National 5+ Mathematics Learning Checklist

The national 5+ checklist is designed to help students to develop their course content knowledge.   it has been written to complement the national 5+ textbook, with each section corresponding to the appropriate textbook.  this allows students to easily locate questions for individual skills that are in need of practice.  it has traffic lights for students to monitor their own progress and knowledge of each individual aspect of the course ..

It can be used digitally or printed as an A5 or A4 booklet.  It can also be used in conjunction with the  National 5 Past Papers by Topic  book (see below).

National 5 Mathematics Past Papers 

Higher mathematics learning checklist.

This checklist is designed to help students to develop their course content knowledge.   It has been written to complement the Higher Mathematics textbook, with each section corresponding to the appropriate textbook section. This allows students to easily locate questions for individual skills that are in need of practice.  It has traffic lights for students to monitor their own progress and knowledge of each individual aspect of the course .

It can be used digitally or printed as an A5 or A4 booklet.  It can also be used in conjunction with the  Higher Past Papers by Topic  book (see below).

Higher  Mathematics  Past Papers

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National 5 Maths Core Skills Booklet

Subject: Mathematics

Age range: 11-14

Resource type: Assessment and revision

Last updated

22 February 2018

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A fantastic set of questions perfect for revising with year 11 classes. Thanks for sharing!

carollynnrome

This will be good for helping my son to keep his maths brain in shape over the summer. Thanks so much.

Perfect for Nat 5 kids revising. Thanks.

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National 5 Maths Key Facts and Information

by Gary Thomson | Aug 5, 2022 | Scottish Maths | 0 comments

Introduction

The National 5 Maths course covers a lot of ground and is often underestimated by students. It’s the minimum required standard for many job roles and further education courses. I’m often asked whether a student should take National 5 Maths. This post aims to give you key information about the National 5 Maths course to help you answer that, and other, common questions.

What is the National 5 Maths Course?

National 5 Mathematics has SQA course code C847 75. It’s generally considered the minimum required standard for entry to many further education courses and job roles. However, this is changing as NATIONAL 5 APPLICATIONS OF MATHS becomes more recognised. Although the National 5 Maths course is considered to be a course in general Mathematics, it is largely focused on algebra techniques. This is often a source of frustration for students who do not consider algebra relevant to their future plans. The focus on algebra is primarily for learners who will go on to study Higher Maths where good algebra skills are essential. There are also several stand-alone topics in the National 5 Maths course, such as statistics and percentages.

Who is the National 5 Maths Course for?

The description of the intended learner for the National 5 Maths course in the course SPECIFICATION is somewhat vague. Essentially, the course is for students who intend to study Maths further – for example HIGHER MATHS – or who need a Maths qualification at level 5 demonstrating a range of Mathematical skills. Students can take ‘full’ National 5 Maths or NATIONAL 5 APPLICATIONS OF MATHS . The latter is essentially a course in numeracy and practical Maths skills. Until recently, almost all further education courses or job roles required full National 5 Maths but this is changing. Students should discuss which course to take with their guidance teacher. Students should not take both courses, although that has become increasingly common. I wrote a post about that HERE . National 5 Maths is a demanding course which students should only take if they performed well at National 4 Maths.

What is Taught in the National 5 Maths Course?

National 5 Maths has traditionally been taught in three units – Expressions & Formulas, Relationships & Applications. However, some teachers now prefer to order the course in their own way. I strongly dislike this practice as it throws students into topics without enough preparatory work. Essentially the first unit ‘Expressions & Formulas’ develops key algebra techniques. The second unit, Relationships – by far the most demanding part of the course – uses those algebra skills in various settings. And the third unit, Applications, is a mix of topics with a focus on numeracy. If students get the algebra skills from unit 1 down early, it makes the rest of the course significantly easier. If not, then it usually becomes a real struggle. You can view the full course syllabus HERE and read more about the course content in the SQA National 5 Maths SPECIFICATION .

Need help with National 5 Maths?

We have the solution with our National 5 Maths Online Course . Featuring 85 step by step instructional videos, more than 500 exam relevant practice questions with full solutions and comprehensive course notes. Ideal to support your classroom work, help with homework or tests, and prepare for final exams. Learn more HERE or start your FREE one week trial.

Is the National 5 Maths Course Difficult?

Students often underestimate the National 5 Maths course which is a significant step up from National 4 Maths. Much of the content of National 4 Maths is based on logic rather than Mathematical technique. National 5 Maths, however, is more formal and requires students to demonstrate formal solutions to problems. Many students get caught out by this – they understand the topics but struggle to write sufficiently precise solutions. The Relationships unit contains some new and demanding topics and almost every student finds them difficult at first. However, the key to these is to have developed solid algebra skills in the first part of the course. A lot of students only ‘bring it all together’ at the last minute. This isn’t necessarily because they’ve been lazy. Rather, it’s because the techniques require experience as much as technical skill which takes time to develop.

What are the Easiest Topics?

The topics in unit 3, Applications, tend to be done quite well. In my experience this is largely because many of the unit 3 techniques are procedural in nature i.e. students can replicate the same technique every time. Also, there are some straight-forward numeracy topics in unit 3 such as Fractions & Mixed Numbers, Statistics, and Percentages. The Volume topic, from unit 1, is also quite straight-forward. Note that none of these ‘easier’ topics involve algebra. Students who have done the work should expect to make most, if not all, of the marks in these topics on the final exam.

What are the Most Challenging Topics?

Having tutored many hundreds of National 5 Maths students I can say confidently that unit 2 gives, by far, the most trouble. In fact, almost every student struggles with at least one, but often more, of the unit 2 topics. There are two main reasons for this. Firstly, some of the topics use completely new types of Mathematics, such as Functions. Secondly, the topics are largely built upon algebra skills from unit 1. If students didn’t master those skills, they’re playing catch up while learning new material. The most difficult topics are Quadratic Functions, Graphs of Quadratic Functions, Straight Lines and Trigonometry. Fortunately there are common themes in these topics. So, if a student masters one or two key ideas, it can make all of those topics more manageable.

How Does National 5 Maths Compare to National 5 Applications of Maths ?

National 5 Maths has a diverse curriculum but most of the marks come from algebra techniques. On the other hand, National 5 Applications of Maths is essentially a course in numeracy, with very little algebra. You can learn more about National 5 Applications of Maths HERE . These two courses serve very different purposes and students should be careful to make sure they take the correct one. Schools often put students in the wrong course – you can read more about that HERE . Students who wish to take Higher Maths should definitely take ‘full’ National 5 Maths. For some students, National 5 Applications of Maths is absolutely the correct course. However, many careers and further education courses require full National 5 Maths. Students should check what they need carefully, although at that age it isn’t necessarily clear.

How is the National 5 Maths Course Assessed?

National 5 Maths is assessed by two final exam papers – one non-calculator paper and one calculator paper. For the 2022 final exams paper 1, the non-calculator paper, lasted 60 minutes and paper 2, the calculator paper, lasted 90 minutes. Students should be aware that not all of the questions in the calculator paper require the calculator. Also, students should practice using the calculator as some advanced functions are required. I often see students making computation errors with the calculator which is really a big waste of marks. Students sometimes perform poorly in paper 2 because they start to get tired. This is made worse since there are often demanding questions towards the end of paper 2. View the past exam papers and marking guides HERE .

Do I Need National 5 Maths for University or College?

Students should check the entry requirements for their chosen course as they are subject to change. Until recently National 5 Maths was the minimum required qualification for many job roles and further education courses. However, that has changed somewhat as more and more recognition is being given to the National 5 Applications of Maths course. Students following a technical career or university course are likely to need Higher Maths. Higher Maths is a challenging course and students really need to make an A or strong B grade at National 5 to take Higher. Two examples of university courses which now accept National 5 Applications of Maths are nursing and primary teaching. Again, check carefully as each course will be different.

Useful Links

These links may help you find additional information about the National 5 Maths course.

National 5 Maths Exam Papers & Solutions

National 5 Maths Exam Questions by Topic

National 5 Maths Exam Study Materials

National 5 Maths FREE Worksheets

National 5 Maths Video Solutions

National 5 Maths Key Skills Playlist

National 5 Maths Exam Tips & Tricks Playlist

National 5 Maths Course Notes

National 5 Maths Online Course

SQA Course Page

SQA National 5 Maths Specification

National 5 Applications of Maths Key Facts

Any More Questions?

Drop us a message if you have any questions about the National 5 Maths course. We’ll get back to you shortly.

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How major US stock indexes fared Friday, 5/31/2024

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Stocks ended mostly higher on Wall Street, closing out the market’s latest winning month.

The S&P 500 shook off a midday slump and ended 0.8% higher Friday. Drops for Nvidia and other technology stocks held back the Nasdaq composite, leaving that index just barely in the red. The Dow Jones Industrial Average climbed 1.5%.

Treasury yields eased in the bond market after a key measure of inflation remained steady last month. That could help bolster the Federal Reserve’s confidence that inflation is sustainably heading down toward its target, something the central bank says it needs before cutting its benchmark interest rate.

The S&P 500 rose 42.03 points, or 0.8%, to 5,277.51.

The Dow Jones Industrial Average rose 574.84 points, or 1.5%, to 38,686.32.

The Nasdaq composite fell 2.06 points, or less than 0.1%, to 16,735.02.

The Russell 2000 index of smaller companies rose 13.53 points, or 0.7%, to 2,070.13.

For the week:

The S&P 500 is down 27.21 points, or 0.5%.

The Dow is down 383.27 points, or 1%.

The Nasdaq is down 185.78 points, or 1.1%.

The Russell 2000 is up 0.46 points, or less than 0.1%.

For the year:

The S&P 500 is up 507.48 points, or 10.6%.

The Dow is up 996.78 points, or 2.6%.

The Nasdaq is up 1,723.66 points, or 11.5%.

The Russell 2000 is up 43.05 points, or 2.1%.

• S1 to S3 Maths
• National 4 Maths
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N5 Applications of Maths: notes, videos, worksheets and revision resources

This page contains a large collection of resources for teachers and students of National 5 Applications of Maths.

⇩ Jump to: unit resources or exam papers

Essential links

Recommended pupil books.

Zeta N5 Applications of Maths  TOP CHOICE TeeJay N5 Applications of Maths  POPULAR Leckie N5 Applications of Maths

Resources by unit and topic

• Free Applications of Maths: videos
• Larkhall Academy: numeracy booklet
• High School Maths: practice test 1 and answers
• High School Maths: practice test 2 and answers
• High School Maths: practice test 3 and answers
• BBC Bitesize: notes and examples
• Maths Mutt: notes and examples
• MathsRevision.com: PowerPoint
• Free Applications of Maths: PowerPoint
• National5Maths.co.uk: worksheets
• TeeJay N5 Apps Book pp 11-12
• Zeta N5 Apps Book pp 7-9
• Zeta N5 Apps Book pp 9-11
• Dr Austin Maths: worksheets
• TeeJay N5 Apps Book page 15 Q7
• Zeta N5 Apps Book pp 53-59
• TeeJay N5 Apps Book pp 13-14
• Significant figures worksheet
• High School Maths: video 1 and video 2
• Leckie N5 Apps Book pp 260-265
• TeeJay N5 Apps Book pp 18-19
• Zeta N5 Apps Book pp 1-4
• High School Maths: video 1 , video 2 , video 3 and video 4
• + and – fractions worksheet
• × and ÷ fractions worksheet
• Fractions of a number worksheet
• Fractions in context worksheet
• Leckie N5 Apps Book pp 269-275
• TeeJay N5 Apps Book pp 36-43
• Zeta N5 Apps Book pp 20-30
• Decimal places worksheet
• TeeJay N5 Apps Book pp 16-24
• Zeta N5 Apps Book pp 12-19
• Converting to percentages worksheet
• Percentage change worksheet
• TeeJay N5 Apps Book pp 25-35
• Zeta N5 Apps Book pp 31-43
• Leckie N5 Apps Book pp 135-142
• TeeJay N5 Apps Book pp 44-53
• Zeta N5 Apps Book pp 60-75
• High School Maths: video
• Leckie N5 Apps Book pp 236-244 and 275-279
• TeeJay N5 Apps Book pp 72-81
• Zeta N5 Apps Book pp 229-239
• Leckie N5 Apps Book pp 228-235 and 275-279
• TeeJay N5 Apps Book pp 53-61 and 155-160
• Zeta N5 Apps Book pp 212-228
• TeeJay N5 Apps Book pp 53-61
• Zeta N5 Apps Book pp 219-220 and 226-227
• Simplifying ratios worksheet
• Proportional division worksheet
• Ratio calculations worksheet
• Leckie N5 Apps Book pp 280-284
• TeeJay N5 Apps Book pp 62-66
• Zeta N5 Apps Book pp 44-47
• TeeJay N5 Apps Book pp 67-71
• Zeta N5 Apps Book pp 48-51
• Reading scales worksheet
• Leckie N5 Apps Book pp 288-298
• Zeta N5 Apps Book pp 76-85
• Andy Shirra: Finance booklet
• Leckie N5 Apps Book pp 2-21
• TeeJay N5 Apps Book pp 223-230
• Zeta N5 Apps Book pp 155-164
• Mrs McTaggart: video 1 and video 2
• Leckie N5 Apps Book pp 22-41
• TeeJay N5 Apps Book pp 191-200
• Zeta N5 Apps Book pp 128-148
• Leckie N5 Apps Book pp 42-51
• TeeJay N5 Apps Book pp 218-222
• Zeta N5 Apps Book pp 164-167
• Leckie N5 Apps Book pp 52-60
• TeeJay N5 Apps Book pp 209-211
• Zeta N5 Apps Book pp 124-127
• Leckie N5 Apps Book pp 61-65
• TeeJay N5 Apps Book page 212
• Zeta N5 Apps Book pp 153-154
• Compound interest worksheet
• Leckie N5 Apps Book pp 69-73
• TeeJay N5 Apps Book page 213
• Zeta N5 Apps Book pp 41-43
• Leckie N5 Apps Book pp 61-73
• TeeJay N5 Apps Book pp 214-215
• Zeta N5 Apps Book pp 149-154
• Andy Shirra: Statistics booklet
• Probability worksheet
• Leckie N5 Apps Book pp 76-92
• TeeJay N5 Apps Book pp 97-100 and 253-256
• Zeta N5 Apps Book pp 86-93
• Mrs McTaggart: video
• Leckie N5 Apps Book pp 106-110
• TeeJay N5 Apps Book pp 238-239
• Zeta N5 Apps Book pp 175-176
• Scatter graphs worksheet
• Leckie N5 Apps Book pp 115-127
• TeeJay N5 Apps Book pp 91-92 and 245-251
• Zeta N5 Apps Book pp 183-189
• TeeJay N5 Apps Book pp 245-251
• Pie charts worksheet
• Leckie N5 Apps Book pp 129,132
• TeeJay N5 Apps Book pp 89-90
• Zeta N5 Apps Book pp 181-183
• BBC Bitesize: comparing data
• BBC Bitesize: standard deviation
• High School Maths: video 1 , video 2 and video 3
• Mean, median, mode, range worksheet
• Standard deviation worksheet
• Leckie N5 Apps Book pp 93-106 and 111-114
• TeeJay N5 Apps Book pp 231-237 and 240-243
• Zeta N5 Apps Book pp 168-181

Measurement

• Andy Shirra: Measure booklet
• Leckie N5 Apps Book pp 141-150
• TeeJay N5 Apps Book pp 117-124
• Zeta N4+ Maths Book 1 pp 19-24
• Leckie N5 Apps Book pp 151-162
• TeeJay N5 Apps Book pp 125-128
• Zeta N5 Apps Book pp 258-263
• Leckie N5 Apps Book pp 163-171
• TeeJay N5 Apps Book pp 129-132
• Zeta N5 Apps Book pp 264-270
• Leckie N5 Apps Book pp 172-183
• TeeJay N5 Apps Book pp 162-164
• Zeta N5 Apps Book pp 292-295
• Leckie N5 Apps Book pp 184-192
• Zeta N5 Apps Book pp 275-282
• Leckie N5 Apps Book pp 193-202
• TeeJay N5 Apps Book pp 170-171
• Zeta N5 Apps Book pp 271-274
• Leckie N5 Apps Book pp 203-212
• TeeJay N5 Apps Book pp 111-116
• Zeta N5 Apps Book pp 283-291
• Leckie N5 Apps Book pp 213-227
• TeeJay N5 Apps Book pp 149-153
• Zeta N5 Apps Book pp 240-247
• TeeJay N5 Apps Book pp 155-160
• Zeta N5 Apps Book pp 296-312
• TeeJay N5 Apps Book pp 162-164 and 173-182
• Leckie N5 Apps Book pp 245-254
• TeeJay N5 Apps Book pp 143-148
• Zeta N5 Apps Book pp 248-257

Graphical Data and Probability

• TeeJay N5 Apps Book pp 93-95
• Zeta N5 Apps Book pp 94-109
• Leckie N5 Apps Book pp 299-310
• Leckie N5 Apps Book pp 311-321
• TeeJay N5 Apps Book pp TBA
• Zeta N5 Apps Book pp TBA

Recommended revision guides

How to Pass N5 Applications  TOP CHOICE BrightRed N5 Apps Study Guide  POPULAR

SQA past papers

Sqa specimen papers, practice exam papers.

Courtesy of Cumbernauld Academy:

Courtesy of Andy Shirra:

Courtesy of Allistair Cruickshanks:

Need a Nat 5 Apps tutor?

Just use this handy little widget and our partner Bark.com will help you find one.

Acknowledgements: SQA material is copyright © Scottish Qualifications Authority, reproduced by permission of SQA. Other resources are courtesy of Allistair Cruickshanks, Cumbernauld Academy, Larkhall Academy, Andy Shirra (FreeApplicationsofMaths.co.uk), John Ward (HighSchoolMaths.co.uk) and their respective authors.

• N5 Maths Topics
• Schools & Tutors
• Exam Study Pack

Free National 5 Maths All you need to pass in one place!

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

Available Courses

N5 Maths Study Pack

Click on the link below to purchase the Online N5 Maths Study Pack

Higher Maths Website

Click on the link below to visit the Higher Maths website

AH Maths Website

Click on the link below to visit the AH Maths website

• N5 Applications of Maths

Click on the link below to visit the N5 Applications of Maths homepage

S1 & S2 Maths

Click on the link below to visit S1 & S2 Maths homepage

All Courses

Click on the link below to visit all available courses

I am writing just to let you know that my son used your National 5 as well as Higher Study Packs for Mathematics. He scored an ‘A’ in both National 5 and Higher and said it wouldn’t have been possible without these Study Packs

Thanks for this fantastic resource (and the Higher and the N5 Apps websites). I cannot even begin to quantify how much time it has saved me when teaching – Cheers!

Mr Craig, Teacher of Mathematics

I got an ‘A’ in my National 5 Maths Exam! I’m very pleased as I did it my first attempt. Your website content definitely helped clarify and consolidate my understanding of the subject.

I found the site very useful and is a great addition to BBC Bitesize for my 14 year old son. He is working his way through BBC Bitesize National 4 Maths as he is a 2nd year pupil but I prefer the resources on your site as they are more in-depth and have useful worksheets.

Just a thank you!

We’re using the advancedhighermaths.co.uk site and it is excellent. This has been a real help while our wonderful school teachers fight their way through lockdown tech nightmare. Later on today my younger daughter will be using the free national 5 maths website. Thanks so much.

Jennifer – Parent

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.

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!!!

Thanks for this fantastic website you have here. So well laid out, easy to follow and as a parent trying to help their child with studying. Only £20 for the Study Pack has been excellent value considering that many tutors charge £40 an hour. 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.

Love your website! – As a support teacher it is great for accessing materials and information.

Mrs O’Neill

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.

E-mailing you guys know that you are doing a great job 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.

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.

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

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 £20 I’ve spent!

Ms McCallum

“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

“My daughter was studying for National 5 Maths last year and I purchased a single license for her to use – I found the material on the site absolutely brilliant. All the pupils and teachers in our school now benefit through the purchase of a whole school subscription.”

Mrs R, Teacher of Mathematics – Dundee (Whole School Subscriber)

“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

“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

“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

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

Cameron, Secondary School 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.”

Oliver, 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

“I am studying Maths at College since it a requirement for me to train to become a primary school teacher. I am delighted to have found this website and make my life long dream of becoming a teacher a reality!”

Sharon, Mature Maths Student

“The website is really good as it breaks the whole course down into easy to understand sections. I need to get A-Level Maths next year as I want to go to university and study engineering. I am really glad to have found this website to help me on my way.”

Salim, Secondary School 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

“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

“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

“Rebecca’s recent National 5 maths prelim really dented her confidence. The website study guides have broken down all the exam style question into separate topics allowing us to address her weaknesses – we are so glad we found this site.”

Mr and Mrs Wilson, Glasgow

“The structured study guides are so easy to follow and the past paper worked solutions are brilliant for helping me to understand questions which I previously was unsure about. I now feel so much more confident with Maths now.”

Secondary School Maths student

Over 70 different subjects covered in detail

Topic Links

Free resources to dozens of National 5 Maths topics are available by clicking on any of the links to the right.

• N5 Maths Whole Course
• N5 Maths Past Papers
• N5 Past Papers by Topic
• N5 Revision Check Lists
• N5 Maths Booster Papers
• N5 Maths Essential Skills
• N5 Maths Theory Guides
• N5 Maths Mind Maps
• N5 Maths Videos
• N5 Maths Assessments
• N5 Maths Numeracy Unit
• All Maths Courses
• Algebraic Fractions
• Angles & Shapes
• Arcs & Sectors
• Applications Assessment
• Area of a Triangle
• CAST Diagram
• Changing the Subject
• Codebreaker Worksheets
• Completing the Square
• Compound Interest
• Constructing Formulae
• Converse of Pythagoras
• Correlation
• Cosine Rule
• Difference of Two Squares
• Discriminant
• Expressions & Formulae
• Factorisation
• Factorising Trinomials
• Growth Mindset Booklets
• Higher Maths
• Inequalities
• Linear Relationships
• Maths Websites
• Nature of the Roots
• Numeracy & Maths
• Percentages
• Probability
• Quadratic Equations
• Quadratic Functions
• Quadratic Formula
• Quadratic Graphs
• Rationalising Denominator
• Relationships Assessment
• Reversing a % Change
• S1 & S2 Maths
• Scatter Graphs
• Scientific Notation
• Significant Figures
• Similar Figures
• Simultaneous Equations
• SOH-CAH-TOA
• Standard Deviation
• Straight Lines
• Trigonometry
• Trig Equations
• Trig Graphs
• Trig Identities
• Vector Addition
• Vector Components
• Vector Magnitude
• Vector Pathways
• Vectors & Scalars
• Vector Subtraction
• Vectors 3-D
• Vectors & Coords 3-D

For Students

To ensure your success in 2024/25 there is a wealth of fantastic additional N5 Maths exam focused resources for less than the cost of a text book.

Just £20 for a year

Buy now >

For Schools

Schools can get the Online Study Pack also. Unlimited use for all the teachers and students in your school.

Just £200 for a year

• Subject list

This fantastic Maths resource was set up by a practicing secondary high school maths teacher.

To read more about the story behind the site, please click here .

Get in touch

We wish you the very best of success in 2024/25.

For any questions, please e-mail us at the address below.

[email protected]

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