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Maths.scot @maths.scot · 21/09/2026

Website update: Added the remaining worked solutions for the 2026 N5 Maths papers. This brings the worked solutions for N5, H and AH Maths totally up-to-date.

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Maths.scot @maths.scot · 12/08/2026

Website update: Added 18 new AH worked solutions. For the first time since the website started, Higher and AH Maths are completely up-to-date with the latest year’s papers. N5 Maths will be brought up-to-date with questions involving diagrams when QS publish their 2026 papers.

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Maths.scot @maths.scot · 10/08/2026

Website update: Added 22 new worked solutions: +12 for H Maths, taking the total to 216. +10 for AH Maths, taking the total to 197. Grand total, including N5 Maths: 882.

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Maths.scot @maths.scot · 08/08/2026

Website update: Added 57 new worked solutions: +32 for N5 Maths, taking the total to 469. +14 for H Maths, taking the total to 204. +11 for AH Maths, taking the total to 187. Grand total: 860.

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Maths.scot @maths.scot · 30/07/2026

Website update: AI breakdowns now completed for all 178 Advanced Higher Maths examples. Strangely, ChatGPT required less “steering” than it did for Higher or N5 Maths, so this has been completed ahead of schedule. It’s brilliant, by the way! I am hugely proud of this feature!

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Maths.scot @maths.scot · 29/07/2026

Website update: All 191 Higher Maths worked examples now include AI breakdowns to provide even finer detail than the human-written solutions and explanations. These have been thoroughly tested and refined on a question-by-question basis. www.maths.scot/higher-maths

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Maths.scot @maths.scot · 24/07/2026

Website update: All 434 N5 Maths worked examples now include a detailed breakdown by ChatGPT of the human-written solution, to help any students who may need more detail. Each AI breakdown has been meticulously tested and refined to ensure accuracy, correct terminology and usefulness.

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Maths.scot @maths.scot · 29/06/2026

Website updates: 1. Improved readability by changing from Arial font, which was too compressed, to a modified form of Roboto Flex. 2. Improved the appearance of the front page at www.maths.scot This completes the focus on UI/UX. More work on the AI breakdowns is next.

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Maths.scot @maths.scot · 27/06/2026

Website update: Further focus on user interface (UI) and user experience (UX). Completely new menu styling on PCs and other larger screens, which - to be honest - lacked geometry and balance. No changes whatsoever on mobile and smaller screens, because if it ain’t broke…

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Maths.scot @maths.scot · 26/06/2026

tinyurl.com/cicdraftjune20… “The language of mathematics supports the deepening of understanding.” Couldn’t agree more. “As a collaborative process, mathematics is about discourse…” Couldn’t agree less. We should ditch social constructivism and return to knowledge-rich education.

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Maths.scot @maths.scot · 25/06/2026

Website update: More UI/UX refinement, focusing on usability so as not to distract from the maths. Changed mobile menu animation and 'TOP' button logic from JavaScript to native, hardware-accelerated CSS for faster rendering and accessibility for 'Reduce Motion' user settings.

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Maths.scot @maths.scot · 23/06/2026

Website update: Overhauled the coding of various interactive elements. These now use streamlined, native JavaScript with no heavy JS libraries. The benefits include faster page loading and smoother, lag-free operation, both on the website and in the app.

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Maths.scot @maths.scot · 22/06/2026

Website update: Reviewed and improved navigation within the Maths.scot web app, adding large “TOP” and “BACK” buttons to topic pages. It should now be just as simple to traverse pages in the app (which has no browser “back” button) as it is on the website itself.

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Maths.scot @maths.scot · 16/06/2026

New! Maths.scot is now available as a ‘progressive web app’ for Apple or Android devices, as well as desktop and laptop computers.

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Maths.scot @maths.scot · 12/06/2026

Picture the scene: Assessing new tutee, considering this: 3/5 =6/? He says: “Tina Turner, David Beckham.” Umm, what? Turns out it’s “TT-DB”. “To do fractions, you do TT-DB.” “What’s TT-DB?” My naïveté! “Times the top, divide the bottom. That’s how you do fractions.”

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Maths.scot @maths.scot · 11/06/2026

Currently at an advanced stage of testing and refining a new feature that can pass each worked example to ChatGPT for a detailed, step-by-step breakdown. Useful for pupils who don’t understand a worked solution and who need even finer detail. See it at: www.maths.scot/nat5/quadrat...

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Maths.scot @maths.scot · 29/05/2026

A follow-up article to my analysis of Higher Maths Paper 1. "Higher Maths: The Impossibility of 'Teaching to the Test'" www.maths.scot/higher-maths...

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Maths.scot @maths.scot · 29/05/2026

I am testing an idea. Today, I asked an S3 student to write down the fraction 4/10. I then said, “Please simplify 4/10.” He wrote “2/5”. I then asked him to write down the subtraction calculation: 4 minus 10. I said, “Please simplify 4 − 10.” He wrote “2 − 5”.

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Maths.scot @maths.scot · 15/05/2026

I would like to take a moment to thank the commenters on @GBNEWS coverage of the Higher Maths controversy for their insightful remarks – sample below. "Bunch of snowflakes" "useless woke teachers" "Get the teachers to sit it!!" "must be really thick" "The world is going mad"

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Maths.scot @maths.scot · 14/05/2026

Is this really what most of the fuss has been about? www.maths.scot/higher/polyn...

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Maths.scot @maths.scot · 12/05/2026

Was the 2026 Higher Maths Paper 1 unfair? Here is our question-by-question analysis: www.maths.scot/higher-maths...

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Maths.scot @maths.scot · 11/05/2026

Utter drivel from BBC News: www.bbc.co.uk/news/article... Here are the published “command words”: www.maths.scot/pdf/h/sqa/NQ... Here is the relevant exam paper: www.maths.scot/pdf/h/past-p... Every command word in the paper is listed in the command words document.

bbc.co.uk

Pupils hopeless and crying after 'poorly worded' Higher Maths exam

More than 11,000 people have signed a petition calling for a review of the exam saying it was

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Maths.scot @maths.scot · 08/05/2026

Higher Maths P1 I hesitate to give it oxygen, but what nonsense this petition is! petitionqsmaths.netlify.app All but Q6, Q9, Q11, Q12 were standard. The usual command words were used. No “unusual phrasing”. No “non-standard notation” save an American comma in Q6. @qualifications.gov.scot

petitionqsmaths.netlify.app

Review the 2026 Higher Maths Paper 1

Qualifications Scotland must review the unfair 2026 Higher Maths Paper 1. Add your name.

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Maths.scot @maths.scot · 06/04/2026

Website updates Rewrote and reformatted the remaining N5 Maths topic pages. All 34 N5 Maths topic pages now have MathJax 4.0, a cleaner layout and a more modern mathematical font. The solutions to all 434 N5 Maths worked examples have been revised for clarity and fullness.

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Maths.scot @maths.scot · 02/04/2026

Website updates Rewrote and reformatted: - N5 Sine rule - N5 Cosine rule - N5 Bearings - N5 Trig equations - N5 Trig identities Added or improved graphics: - N5 Line of best fit - N5 3D coordinates - N5 Vectors

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Maths.scot @maths.scot · 31/03/2026

Website update: Changed the wording on the feedback buttons from "This solution was helpful" to "I understand this solution”. - More student-oriented - More of a micro-reward for effective study - More likely to promote active learning - Still gives me actionable feedback.

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Maths.scot @maths.scot · 28/03/2026

Website updates: Rewrote and reformatted: - N5 Completing the square - N5 Quadratics - N5 Trig graphs Added or improved graphics: - N5 Quadratics - N5 Pythagoras - N5 Sine rule - N5 Cosine rule - N5 Bearings - N5 Area of triangle - N5 Trig graphs

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Maths.scot @maths.scot · 27/03/2026

The 👍 and 👎 buttons below each worked solution went live a week ago. Total 2041 votes, breaking down as 1974 👍 and 67 👎. Most solutions with a 👎 have been reviewed and improved. I’m loving the new dynamic. Improving the website now feels like a shared social endeavour. 😊

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Maths.scot @maths.scot · 26/03/2026

Thanks to Peebles High School for saying that Maths.scot and National5Maths.co.uk are “excellent websites.” peebleshighschool.com/exam-prepara... Thanks also to Aidan Healy Tutoring for describing Maths.scot as “the best free resource available.” aidanhealytutoring.com

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Maths.scot @maths.scot · 24/03/2026

Website updates: Rewrote and reformatted: - N5 Algebraic Fractions - N5 Change of Subject - N5 Simultaneous Equations Added graphics to worked solutions: - ASTC diagrams for N5 Trig Graphs - 3D shapes for N5 Volume - Graphs for Higher Quadratic Inequalities

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Maths.scot @maths.scot · 23/03/2026

The server on which Maths.scot resides is currently being migrated. There is a possibility of some downtime today. Advance apologies for any inconvenience.

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Maths.scot @maths.scot · 22/03/2026

Only 48 hours since 👍 and 👎 buttons were added to worked examples, but already they’re proving their worth. 8 👎 votes so far, and upon review, 6 of these worked examples weren’t quite up to scratch. They have been improved and their vote counters reset. I’ll keep monitoring. www.maths.scot

maths.scot

Maths.scot – Free S1-S6 Maths Resources

Topic notes, videos, 800 worked examples, 1518 worksheets and 2425 past paper solutions for Scottish National 5, Higher and Advanced Higher Maths.

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Maths.scot @maths.scot · 20/03/2026

Website update: All this improvement work made me want to find out from users which solutions are more or less helpful, so I’ve taken a break from the N5 rewrite to install a feedback feature. First few votes received, and it’s true: Higher Circles eg.7 could still be clearer.

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Maths.scot @maths.scot · 18/03/2026

Website update: Rewrite of N5 Maths topic pages now underway, bringing the quality of each worked solution up to the same “textbook quality” as Higher Maths and AH Maths, after their recent improvements. Today: Straight Line and Linear Equations. This will take a while!

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Maths.scot @maths.scot · 16/03/2026

Website update: All worked examples on the Higher Maths section now have subtopic subheadings. This concludes the upgrades of the Higher Maths and Advanced Higher Maths sections. Next job: implement some (probably not all) of these refinements on the N5 Maths pages.

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Maths.scot @maths.scot · 15/03/2026

Major updates for Advanced Higher Maths: - massively expanded content - improved typesetting and layout - subtopic subheadings for worked examples, for easier focus on specific skills - error corrections, extra clarity, further study suggestions and historical notes www.maths.scot/advanced-hig...

maths.scot

Advanced Higher Maths – Free Resources for Exam Success

Advanced Higher Maths: detailed notes, videos, 176 worked examples, 112 worksheets, 465 past paper questions and answers.

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Maths.scot @maths.scot · 03/03/2026

Major website update: - Upgraded Higher Maths pages from MathJax 3 to MathJax 4 - Modernised the mathematical font - Improved the layout - Took the opportunity to reword/ restructure many questions, and to revise many solutions, enhancing clarity. www.maths.scot/higher-maths

maths.scot

Higher Maths – Free Resources for Exam Success

Higher Maths notes, videos, 190 worked examples, 185 worksheets and 801 Higher Maths past paper questions with full solutions.

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Maths.scot @maths.scot · 28/02/2026

Website update: Opened a can of worms by starting the upgrade process from MathJax 3 with its fussy TeX font to MathJax 4 STIX2 font, customised for boldness and to integrate with body text. Only on Higher Maths so far: www.maths.scot/higher-maths “I may be gone for some time.”

maths.scot

Higher Maths – Free Resources for Exam Success

Higher Maths notes, videos, 190 worked examples, 185 worksheets and 801 Higher Maths past paper questions with full solutions.

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Maths.scot @maths.scot · 24/02/2026

Website update: Added 12 Higher Maths worked examples. 1 × Logs & Exponentials 5 × Vectors 3 × Straight Line 3 × Circles www.maths.scot/higher-maths

maths.scot

Higher Maths – Free Resources for Exam Success

Higher Maths notes, videos, 190 worked examples, 185 worksheets and 801 Higher Maths past paper questions with full solutions.

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Maths.scot @maths.scot · 22/02/2026

Each N5, H or AH worked example now has its own URL. eg. To point your students only to the rationalising the denominator examples within N5 Surds: - Visit www.maths.scot/nat5/surds - Click the 'Copy Link' icon beside each example that you want. - Paste into Teams or Classroom.

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Maths.scot @maths.scot · 19/02/2026

Am working on a feature to enable direct links to each worked example. eg. if you want your Higher class to study this optimisation solution, just link to it from Google Classroom: www.maths.scot/higher/diffe... Getting the URL is as simple as pressing the icon beside each example.

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Maths.scot @maths.scot · 18/02/2026

Clipart in a worksheet? Bright colours? I must be going soft in my old age! N5 Applications of Maths Numeracy: Fractions Making fractions add to 1. www.maths.scot/pdf/n5apps/o... www.maths.scot/pdf/n5apps/o...

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Maths.scot @maths.scot · 17/02/2026

Another great “masterclass” video from @Clelland Maths: youtu.be/4o5LKdk4riI The video works through all 25 Higher Maths Polynomials & Quadratics questions from www.maths.scot/higher/polyn... Each video solution is also linked from the written solutions on Maths.scot.

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Maths.scot @maths.scot · 15/02/2026

Website update: Added 17 Higher Maths worked examples: 1 × Circles 2 × Differentiation 2 × Functions & Graphs 5 × Integration 3 × Logs & Exponentials 3 × Polynomials & Quadratics 1 × Sequences Added 2 AH Maths worked examples: 1 × Partial Fractions 1 × Systems of Equations

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Maths.scot @maths.scot · 14/02/2026

N5 Arcs & Sectors I prefer “sector equals fraction of circle” to the ratio approach that, I concede, connects with the sine rule and probably made 2024 P2 Q15 easier. It’s a philosophical preference, really. I’d rather maximise understanding, even if it’s “harder”. Thoughts?

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Maths.scot @maths.scot · 13/02/2026

Website updates: 16 new worksheets for N5 Applications 3 new N5 Maths worked examples (bearings, triangle area) 6 new AH Maths worked examples (number theory, Maclaurin series, complex numbers) 10 new AH Maths worksheets, with worked solutions.

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Maths.scot @maths.scot · 03/02/2026

How best to explain rounding 21.983 to 1 decimal place? I tend to say: - Imagine a ‘cut-off line’: 21.9 | 83. - We’re rounding up because 8≥5. - Imagine 21.9 without its point, as 219. - Add 1 to get 220 - Put the point back again. It’s 22.0. Can you improve this?

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Maths.scot @maths.scot · 22/01/2026

Website update: Expanded and restructured the “Notes and videos” sections on the Higher Maths and Advanced Higher Maths topic pages. For example: www.maths.scot/higher/strai...

maths.scot

Straight Lines – Higher Maths – Free Study Resources

Higher Maths - parallel and perpendicular lines, angle with the x-axis, collinearity, median, altitude, perpendicular bisector. Notes, videos and examples.

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Maths.scot @maths.scot · 20/01/2026

Website update: While tutoring yesterday evening, I saw one of my Higher Maths students scroll up and down the main Higher Maths page looking for the link to past papers. So I’ve redesigned the “menu pages” for N5 Maths, H Maths and AH Maths to make such links more obvious.

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Maths.scot @maths.scot · 19/01/2026

Website update: Added all SQA Intermediate 2 past papers 2000-2015 and all Standard Grade Credit past papers 1996-2013 - for the keenest N5 Maths students! Most with SQA marking instructions. That failing, worked solutions. That failing, brief answers. www.maths.scot/national-5-m...

maths.scot

National 5 Maths – SQA Past Papers and Worked Solutions

National 5 Maths SQA past papers, detailed solutions and SQA Nat 5 Maths mark schemes

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