# Free S1 & S2 Maths

Welcome to national5maths.co.uk

The resources below are aimed at S1 & S2 pupils studying CfE Levels 2, 3 & 4. There is a strong focus on Numeracy – please see the ‘Numeracy Grids’ and ‘Lesson Starter’ sections below. The resources will provide excellent preparation for Maths in 3rd and 4th year.

Doing well in Maths in S1 and S2 is important, especially the end of year tests where pupils are usually streamed according to their test score. If possible, please try your best and aim to be entered for the N5 Maths course in 3rd year. If you are a parent you may want to check with your school that your son/daughter is on schedule to achieve this.

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. To visit our other online maths courses please click HERE.

For parents – if you would like to help your son/daughter with their maths please click on the excellent Parental Numeracy Booklet.

We hope you find this website useful and wish you the very best with your studies in 2025. Please find below:

1. Lesson Starter Questions

2. Numeracy Grids

3. Cross Number Numeracy Grids

4. Codebreaker Worksheets

5. BODMAS/BIDMAS

6. Angles Worksheets

7. Addition, Subtraction & Negative Numbers Worksheets

8. Multiplication Worksheets

9. Division Worksheets

10. Fractions Worksheets

11. Percentages

12. Algebra Worksheets

13. Area, Surface Area, Volume, Perimeter & Circles Worksheets

14. Money

15. Speed, Distance & Time

16. Coordinates

17. Pythagoras

18. Gradients & Straight Lines  – New

19. Trig (SOH-CAH-TOA) Worksheets

20. Shading in Fun Worksheets

21. Level 2/3 Resources by Topic

22. Level 3/4 Resources by Topic

23. Level 2/3 Homework

24. Level 3/4 Homework

25. Fun Maths

26. BGE Growth Mindset Booklets

27. Links to Maths websites including games

28. PowerPoints (S1 & S2)

29. S1 & S2 Proposed Course Outline & Numeracy Sheets

30. Recommended Text Books

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### S1 & S2 Maths Resources

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1. Lesson Starters – New

Thanks to the Williamwood High School, the SQA and authors for making the excellent lesson starter questions below freely available.

 Booklet _______________________________ Link _________________ Comments __________________________ Weeks ___________________________ Daily Starter Booklet 1 Booklet 1 BGE Level 3 - S1, S2, N3 & N4 38 Weeks @ 152 Starters Daily Starter Booklet 2 Booklet 2 BGE Level 3/4 - S1, S2, N3 & N4 38 Weeks @ 152 Starters Daily Starter Booklet 3 Booklet 3 BGE Level 4 - S3, S4, N5 Maths 25 Weeks @ 100 Starters 100 Question Numeracy Challenge 100 Questions Answers Excellent numeracy revision

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Lower S1/S2

 ____________ ____________ ____________ ____________ ____________ 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

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Middle S1/S2

 ____________ ____________ ____________ ____________ ____________ 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

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Upper S1/S2

 ____________ ____________ ____________ ____________ ____________ 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

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2. Numeracy Grids

Thanks to the authors for making the excellent resources below freely available. Each of the 16 Numeracy Grids below contains 40 mixed numeracy questions – 640 questions in total!

 Set ___________________ Numeracy Grid _______________________ Set ____________________ Numeracy Grid __________________________ Set 1 Numeracy Grid - 1 Set 9 Numeracy Grid - 9 Set 2 Numeracy Grid - 2 Set 10 Numeracy Grid - 10 Set 3 Numeracy Grid - 3 Set 11 Numeracy Grid - 11 Set 4 Numeracy Grid - 4 Set 12 Numeracy Grid - 12 Set 5 Numeracy Grid - 5 Set 13 Numeracy Grid - 13 Set 6 Numeracy Grid - 6 Set 14 Numeracy Grid - 14 Set 7 Numeracy Grid - 7 Set 15 Numeracy Grid - 15 Set 8 Numeracy Grid - 8 Set 16 Numeracy Grid - 16 Challenge 100 Questions, Version 2 Answers Core Skills Core Skills (Numeracy) Answers - Updated Courtesy of Maths.scot Numeracy Worksheets Dynamic Maths Courtesy of Dynamic Maths

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3. Cross Number Numeracy Grids

Thanks to the authors for making the excellent resources below freely available. Solutions to each of the cross number numeracy grids have been included below.

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4. Codebreaker Worksheets

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

5. BODMAS/BIDMAS

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

 Description ________________________________________ Link _____________________ Solutions _________________________ BIDMAS - First Steps Progressive Worksheets Worksheet 1, 2, 3, 4 Solutions on Worksheets Order of Operations Worksheet 5 Order of Operations - Brackets Worksheet 6 Order of Operations - Powers Worksheet 7 Order of Operations - Review Worksheet 8 BIDMAS - Word Search Worksheet 9 BIDMAS - Cross Number Worksheet 10 Worksheet 10 - Printing Size BIDMAS - A Mixture Worksheet 11 X-Mas Themed BIDMAS What's in my Stocking Answers

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6. Angles Worksheets

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Answers are included on the worksheets. Please find attached a useful online protractor and angle maker link.

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7. Addition & Subtraction Worksheets

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Different level word problems on addition & subtraction can be found on Worksheets 33 to 38 in the table below.

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8. Multiplication Worksheets

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Answers are included on the worksheets.

 Worksheets __________________ Description _____________________________________________________________________________ Answers _____________ YouTube Famous Singers singing times tables! Worksheets 1 & 2 Multiplication Times Table Chart, Multiplication Times Table Grid On Worksheet Worksheets 3 - 6 One x Two Digit Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 7 - 10 One x Three Digit Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 10 - 13 One x Four Digit Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 14 - 17 Horizontal Multiplication by Multiples of 10 Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 18 - 22 Horizontal Multiplication by 10, 100 & 1000 Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 23 - 26 Vertical Multiplication by Multiples of 10 Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 27 - 30 Vertical Multiplication by Multiples of 100 Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 31 - 34 Multiplication With Decimals Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 35 - 38 Two x Two Long Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 39 - 42 Two x Three Long Multiplication Worksheet, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 43 - 46 Two x Four Long Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 47 - 50 Three x Four Long Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 51 - 54 Long Multiplication With Decimals Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 55 - 58 Advanced Long Multiplication Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 59 - 62 Multiplication Array Word Problems Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 63 - 66 Word Problems Level 1, Level 2, Level 3 (Long Multiplication), Level 3 (Long Division)

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9. Division Worksheets

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Answers are included on the worksheets.

 Worksheets __________________ Description ______________________________________________________________________ Answers _____________ Worksheets 1 - 4 5 Minute Drill Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 5 - 8 Writing in Different Formats Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 9 - 12 Simple Division Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 13 - 16 Short Division Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 17, 18 Dividing Decimals, Multiplying & Dividing Decimals Worksheets 19 - 22 Long Division Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 23 - 26 Long Division with Decimals Worksheet 1, Worksheet 2, Worksheet 3, Worksheet 4 On Worksheet Worksheets 27 - 30 Division Word Problems Level 1, Level 2, Level 3, Level 4 Worksheets 31 Word Problems Worksheet (Long Division) PowerPoint Multiplying & Dividing by 10, 100 PowerPoint Worksheet 32, 33 Multiplying & Dividing by 10, 100 & 1000, Worksheet 2

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10. Fractions Worksheets

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Answers are included on the worksheets.

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11. Percentages

Thanks to Maths-Aid.Com and the authors for making the excellent resources below freely available. Answers are included.

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12. Algebra Worksheets

Thanks to the authors for making the excellent resources below freely available. Answers are included with many of the worksheets.

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13. Area, Surface Area, Volume, Perimeter & Circles Worksheets

Thanks to the authors for making the excellent resources below freely available. Answers are included with many of the worksheets.

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14. Money

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

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15. Speed, Distance & Time – New

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

 Worksheet ___________________ Questions ___________________________________ Answers _________________________ Courtesy __________________ S,D & T Introduction Video on Very Fast Things Worksheet 1 12 & 24 Hour Clock & Time Intervals Worksheet 2 Time Intervals Answers Worksheets 3 - 4 Time Problems Codebreaker, 2 Answers 1, 2 Worksheet 5 Decimal Time 1 Answers on Worksheet Worksheet 6 Decimal Time 2 Answers Worksheet 7 Converting Time Worksheet 8 Match up the Speeds Worksheet 9 Speed Only Calculations, 2 Answers 1, 2, 3 Worksheet 10 Speed, Distance & Time - 1 Worksheet 11 Speed, Distance & Time - 2 Worksheet 12 Speed, Distance & Time - 3 Answers on Worksheet Courtesy Mr Doran Worksheet 13 - 14 Speed Distance Time Codebreaker 1, 2 Answers 1, 2 Worksheet 15 D/T Graphs - Finding Speed Worksheet 16 Graphs - Distance/Time PowerPoint PowerPoint - Distance/Time Graphs Homework 1 Homework 1 - S, D & T Homework 2 Homework 2 - S, D & T

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16. Coordinates

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

 Worksheets No _________________________ Detail ______________________________________________ Solution(s) ___________________________________ Courtesy/Comments ________________________________________ Worksheet Finding Coordinates in the First Quadrant Solutions on Worksheet PowerPoint Finding Coordinates in 4 Quadrants Worksheet 1 - 2 Corbett Maths Coordinates Worksheet 1, 2 Courtesy of Corbett Maths Worksheet 3 Murder Mystery Puzzle 2 Coordinates Puzzle Worksheets 4 - 7 Aeroplane, Butterfly, Dragonfly, Rocket, All 4 (Print Booklet) Solutions on Worksheet Courtesy of Math.Aid.Com (4 Coordinates) Worksheets 8 - 11 Bat, Dinosaur, Kite, Snake Solutions on Worksheet Courtesy of Math.Aid.Com (4 Coordinates) Worksheets 12 - 14 Halloween - Bat, Owl, Pumpkin Solutions on Worksheet Courtesy of maths.drill.com Worksheets 15 -18 Christmas - Tree, Holly, Santa, Nativity, X-Mas Place Solutions on Worksheet Courtesy of maths.drill.com Worksheets 19 X-Mas Tree (One Page Print) Worksheets 21 - 23 Christmas - Elf, Frosty, Holly Solutions - Elf, Frosty, Holly Worksheets 24 - 26 Christmas - Rudolf 1, Rudolf 2, Santa Solutions - Rudolf 1, Rudolf 2, Santa Worksheet 27 Bart - Coordinates Worksheet 28 Santa 1 (Print 2 Pages Per Sheet), Santa 2 Worksheet 29 Owl - Coordinates Owl Picture - good! Worksheet 30 Easter Chick Chick Solution Positive Coordinates Worksheet 31 Easter Bunny Bunny Solution Negative Coordinates Worksheet 32 Shapes From Missing Coordinates Worksheet 33 Dot to Dot - Cool Sports Car, Solution Remind pupils to STOP at each arrow

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17. Pythagoras

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

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18. Gradients & Straight Lines – New

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

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19. Trig (SOH-CAH-TOA) Worksheets

Thanks to the authors for making the excellent resources below freely available. Answers are included with the worksheets.

 Worksheet No _______________ Worksheet Details ___________________________________ Answers _________________ Courtesy _______________________________ Worksheet 1 Introduction - Calculator Practice Answers Courtesy of www.mathsprint,co.uk Worksheet 2 Trig Basics Answers Courtesy of www.mathsprint,co.uk Worksheet 3 Finding a Side Answers Worksheet 4 Finding a Side 1, 2 Answers Courtesy of www.mathsprint,co.uk Worksheet 5 Finding an Angle Answers Worksheet 6 Finding an Angle Answers Courtesy of www.mathsprint,co.uk Worksheet 7 Finding Sides & Angles Answers Worksheet 8 Finding Sides & Angles Answers Courtesy of www.mathsprint,co.uk Worksheet 9 Trig - N5 Exam Questions Courtesy of the SQA Worksheet 10 & 11 Finding Sides & Angles Worksheet 1, 2 On Worksheets Courtesy of maths4everyone.com Worksheet 12 SOH-CAH-TOA Code Breaker Homework Trig Homework

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20. Shading in Fun Worksheets

Thanks to the authors for making the excellent resources below freely available. The collection below consists of sixteen clever puzzle pictures offering lots of practice in addition, subtraction, multiplication and division.

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21. Level 2/3 Resources by Topic

Thanks to the authors and Larkhall Academy for making the resources below freely available for all to benefit.

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22. Level 3/4 Resources by Topic

Thanks to the authors and Larkhall Academy for making the resources below freely available for all to benefit.

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23. Level 2/3 Homework

Thanks to maths777 & Auchinleck Academy for making the excellent resources below freely available.

 Homework Number __________________ Topic ____________________ Homework Number __________________ Topic _______________________ Homework 1 Number Work 1 Homework 12 Ratio & Proportion 2 Homework 2 Number Work 2 Homework 13 Distance, Speed & Time 1 Homework 3 Number Work 3 Homework 14 Distance, Speed & Time 2 Homework 4 Order of Operations Homework 15 Data Analysis 1 Homework 5 Rounding Homework 16 Data Analysis 2 Homework 6 Negative Numbers Homework 17 Data Analysis 3 Homework 7 Fractions Homework 18 Data Analysis 4 Homework 8 Percentages 1 Homework 19 Perimeter & Area Homework 9 Percentages 2 Homework 20 Enlargement & Reduction Homework 10 Percentages 3 Homework 21 Volume Homework 11 Ratio & Proportion 1 Whole Booklet HERE

24. Level 3/4 Homework

Thanks to maths777 & Auchinleck Academy for making the excellent resources below freely available.

 Homework ___________________ Part A _____________________________ Part B _____________________________ Part C ______________________ Homework 1 Algebra & Common Factor Statistics Mixed Questions Homework 2 Area & Circumference of a Circle Algebra & Common Factor Mixed Questions Homework 3 Similarity Area & Circumference of a Circle Mixed Questions Homework 4 Area of Quadrilaterals Similarity Mixed Questions Homework 5 Gradient Area of Quadrilaterals Mixed Questions Homework 6 Angles in a Circle Gradient Mixed Questions Homework 7 Pie Charts Angles in a Circle Mixed Questions Homework 8 Straight Lines Pie Charts Mixed Questions Homework 9 Pythagoras Straight Lines Mixed Questions Homework 10 Changing Subject of the Formula Pythagoras Mixed Questions Homework 11 Trigonometry Changing Subject of the Formula Mixed Questions Homework 12 Revision 1 Trigonometry Homework 13 Revision 2 Mixed Questions Homework 14 Revision 3 Revision 4 Homework 15 Revision 5 Revision 6

25. Fun Maths

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

26. BGE Growth Mindset Booklets

To compliment the wealth of resources on this page please click on the green link below to access a website page dedicated to excellent free Growth Mindset Booklets. The booklets cover the full range of topics taught in S1 to S3 and are split into three differentiated courses.

It is important to mention that a child with a Growth Mindset is aware that intelligence is not fixed and (regardless of starting point) sustained progress is achievable through resilient and focused application.

Free BGE Growth Mindset Booklets Link

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27. Links to Maths websites including games

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

28. PowerPoints (S1 & S2)

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 PowerPoint 54 Squares & Square Roots

29. S1 & S2 Proposed Course Outline & Numeracy Sheets

Thanks to the authors for sharing the excellent resources below. The table below gives proposed course outlines for S1 & S2. Also included are two fantastic numeracy worksheets.

 YEAR _____________ LINK ___________________________ Answers/Template ___________________ S1 S1 Proposed Timeline S2 S2 Proposed Timeline S1 & S2 Numeracy Worksheet Answers S1 & S2 Fractions, Decimals & %'s Worksheet Template

30. Recommended Text Books

The highly recommended text books below can be used with S1 & S2 pupils working through the schemes of work on this page. Please click on the links below and order through amazon.co.uk.

TeeJay 3a                                                    TeeJay 3b

TeeJay 2a                                                    TeeJay 2b

Teejay 3a Book

This book can be used with pupils who have worked through the CfE Level 2 Course, possibly using TeeJay’s Books 2a and 2b, and along with Book 3b covers the entire contents of the CfE Level 3 course.

TeeJay 3b Book

This book forms the 2nd half of the Level 3 CfE Course and should follow on from Book 3a. Together, these 2 books cover the entire contents of the CfE Level 3 course.

Teejay 2a Book

This book can be used with pupils who have worked through the CfE Level 1 Course, possibly using TeeJay’s Books 1a and 1b, and along with Book 2b covers the entire contents of the CfE Level 2 course.

Teejay 2b Book

This book forms the 2nd half of the Level 2 CfE Course and should follow on from Book 2a. Together, these 2 books cover the entire contents of the CfE Level 2 course.

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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

### 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