Maths.scot
@maths.scot
Free resources for Scottish Maths teachers and secondary pupils at Maths.scot
Website update:
Sourced, selected and added yet more worksheets or online worksheets:
• 50 for N5 Maths
• 29 for Higher Maths
• 5 for Advanced Higher Maths.
I am now close to being happy with the range and quality on offer.
Sourced, selected and added yet more worksheets or online worksheets:
• 50 for N5 Maths
• 29 for Higher Maths
• 5 for Advanced Higher Maths.
I am now close to being happy with the range and quality on offer.
December 17, 2025 at 12:41 PM
Website update:
Sourced, selected and added yet more worksheets or online worksheets:
• 50 for N5 Maths
• 29 for Higher Maths
• 5 for Advanced Higher Maths.
I am now close to being happy with the range and quality on offer.
Sourced, selected and added yet more worksheets or online worksheets:
• 50 for N5 Maths
• 29 for Higher Maths
• 5 for Advanced Higher Maths.
I am now close to being happy with the range and quality on offer.
Website update:
1. Added 32 new N5 Maths worksheets.
2. Removed some lower quality N5 worksheets - quality over quantity!
3. Improved the format of the N5 worksheet sections for quicker, simpler access.
4. Added a note to say whether or not each N5 worksheet has answers.
1. Added 32 new N5 Maths worksheets.
2. Removed some lower quality N5 worksheets - quality over quantity!
3. Improved the format of the N5 worksheet sections for quicker, simpler access.
4. Added a note to say whether or not each N5 worksheet has answers.
National 5 Maths – Free Resources for Exam Success
National 5 Maths notes, videos, 431 worked examples, worksheets and Nat 5 Maths past paper exam questions by topic with full solutions.
www.maths.scot
December 16, 2025 at 2:15 PM
Website update:
1. Added 32 new N5 Maths worksheets.
2. Removed some lower quality N5 worksheets - quality over quantity!
3. Improved the format of the N5 worksheet sections for quicker, simpler access.
4. Added a note to say whether or not each N5 worksheet has answers.
1. Added 32 new N5 Maths worksheets.
2. Removed some lower quality N5 worksheets - quality over quantity!
3. Improved the format of the N5 worksheet sections for quicker, simpler access.
4. Added a note to say whether or not each N5 worksheet has answers.
Imitation is the sincerest form of flattery. 🤣
www.maths.scot/nat5/trig-eq...
www.national5maths.co.uk/cast-diagram/
www.maths.scot/nat5/trig-eq...
www.national5maths.co.uk/cast-diagram/
December 15, 2025 at 5:59 PM
Imitation is the sincerest form of flattery. 🤣
www.maths.scot/nat5/trig-eq...
www.national5maths.co.uk/cast-diagram/
www.maths.scot/nat5/trig-eq...
www.national5maths.co.uk/cast-diagram/
Website update:
Finished improving the in-page navigation for the N5 Maths topic pages.
Each page now includes the following subsections:
• Topic content
• Key ideas
• Worked examples
• Past paper questions
• Worksheets
• Notes and videos
www.maths.scot/national-5-m...
Finished improving the in-page navigation for the N5 Maths topic pages.
Each page now includes the following subsections:
• Topic content
• Key ideas
• Worked examples
• Past paper questions
• Worksheets
• Notes and videos
www.maths.scot/national-5-m...
National 5 Maths – Free Resources for Exam Success
National 5 Maths notes, videos, 431 worked examples, worksheets and Nat 5 Maths past paper exam questions by topic with full solutions.
www.maths.scot
December 15, 2025 at 12:34 PM
Website update:
Finished improving the in-page navigation for the N5 Maths topic pages.
Each page now includes the following subsections:
• Topic content
• Key ideas
• Worked examples
• Past paper questions
• Worksheets
• Notes and videos
www.maths.scot/national-5-m...
Finished improving the in-page navigation for the N5 Maths topic pages.
Each page now includes the following subsections:
• Topic content
• Key ideas
• Worked examples
• Past paper questions
• Worksheets
• Notes and videos
www.maths.scot/national-5-m...
Website update:
Added 20 new theory guides and 33 new worksheets for Advanced Higher Maths.
www.maths.scot/advanced-hig...
Pending jobs:
1. Get the in-page navigation for the N5 Maths topic pages up to the same standard as H and AH.
2. AH PPQs for 2024 and 2025 by topic.
Added 20 new theory guides and 33 new worksheets for Advanced Higher Maths.
www.maths.scot/advanced-hig...
Pending jobs:
1. Get the in-page navigation for the N5 Maths topic pages up to the same standard as H and AH.
2. AH PPQs for 2024 and 2025 by topic.
Advanced Higher Maths – Free Resources for Exam Success
Advanced Higher Maths: detailed notes, tutorial videos, 151 worked examples with explanations, worksheets, past paper questions and full solutions.
www.maths.scot
December 14, 2025 at 2:06 PM
Website update:
Added 20 new theory guides and 33 new worksheets for Advanced Higher Maths.
www.maths.scot/advanced-hig...
Pending jobs:
1. Get the in-page navigation for the N5 Maths topic pages up to the same standard as H and AH.
2. AH PPQs for 2024 and 2025 by topic.
Added 20 new theory guides and 33 new worksheets for Advanced Higher Maths.
www.maths.scot/advanced-hig...
Pending jobs:
1. Get the in-page navigation for the N5 Maths topic pages up to the same standard as H and AH.
2. AH PPQs for 2024 and 2025 by topic.
Website update:
Massively increased the number of Higher Maths worksheets: from 55 to 153.
www.maths.scot/higher-maths
Massively increased the number of Higher Maths worksheets: from 55 to 153.
www.maths.scot/higher-maths
Higher Maths – Free Resources for Exam Success
Higher Maths notes, videos, 161 worked examples with explanations, worksheets and Higher Maths past paper questions with full solutions.
www.maths.scot
December 13, 2025 at 8:32 PM
Website update:
Massively increased the number of Higher Maths worksheets: from 55 to 153.
www.maths.scot/higher-maths
Massively increased the number of Higher Maths worksheets: from 55 to 153.
www.maths.scot/higher-maths
Website updates:
1. Refined the operation of the page section links within the Higher Maths topic pages. www.maths.scot/higher-maths
2. Replicated this navigation system across the Advanced Higher topic pages. www.maths.scot/advanced-hig...
3. Added 19 new Higher Maths worksheets.
1. Refined the operation of the page section links within the Higher Maths topic pages. www.maths.scot/higher-maths
2. Replicated this navigation system across the Advanced Higher topic pages. www.maths.scot/advanced-hig...
3. Added 19 new Higher Maths worksheets.
December 12, 2025 at 12:02 PM
Website updates:
1. Refined the operation of the page section links within the Higher Maths topic pages. www.maths.scot/higher-maths
2. Replicated this navigation system across the Advanced Higher topic pages. www.maths.scot/advanced-hig...
3. Added 19 new Higher Maths worksheets.
1. Refined the operation of the page section links within the Higher Maths topic pages. www.maths.scot/higher-maths
2. Replicated this navigation system across the Advanced Higher topic pages. www.maths.scot/advanced-hig...
3. Added 19 new Higher Maths worksheets.
Website update:
Added “Quick links on this page” to substantially improve navigation within each Higher Maths topic page.
These in-page section links have been placed at the very top of each topic page, above even the topic specification.
Example: www.maths.scot/higher/integ...
Added “Quick links on this page” to substantially improve navigation within each Higher Maths topic page.
These in-page section links have been placed at the very top of each topic page, above even the topic specification.
Example: www.maths.scot/higher/integ...
December 11, 2025 at 12:06 PM
Website update:
Added “Quick links on this page” to substantially improve navigation within each Higher Maths topic page.
These in-page section links have been placed at the very top of each topic page, above even the topic specification.
Example: www.maths.scot/higher/integ...
Added “Quick links on this page” to substantially improve navigation within each Higher Maths topic page.
These in-page section links have been placed at the very top of each topic page, above even the topic specification.
Example: www.maths.scot/higher/integ...
Website update:
Added “page section links” to the N5 Maths topic pages to make it easier to navigate between topic notes, worked examples, worksheets, PPQs etc.
For example: www.maths.scot/nat5/trig-eq...
This feature will be added to the Higher and AH topic pages later this week.
Added “page section links” to the N5 Maths topic pages to make it easier to navigate between topic notes, worked examples, worksheets, PPQs etc.
For example: www.maths.scot/nat5/trig-eq...
This feature will be added to the Higher and AH topic pages later this week.
December 10, 2025 at 10:08 PM
Website update:
Added “page section links” to the N5 Maths topic pages to make it easier to navigate between topic notes, worked examples, worksheets, PPQs etc.
For example: www.maths.scot/nat5/trig-eq...
This feature will be added to the Higher and AH topic pages later this week.
Added “page section links” to the N5 Maths topic pages to make it easier to navigate between topic notes, worked examples, worksheets, PPQs etc.
For example: www.maths.scot/nat5/trig-eq...
This feature will be added to the Higher and AH topic pages later this week.
Website update:
Added 2025 past paper question files to the Higher Maths topic pages:
www.maths.scot/higher-maths
The N5 Maths and Higher Maths pages are now completely up-to-date.
Advanced Higher next.
Added 2025 past paper question files to the Higher Maths topic pages:
www.maths.scot/higher-maths
The N5 Maths and Higher Maths pages are now completely up-to-date.
Advanced Higher next.
Higher Maths – Free Resources for Exam Success
Higher Maths notes, videos, 161 worked examples with explanations, worksheets and Higher Maths past paper questions with full solutions.
www.maths.scot
December 9, 2025 at 12:01 PM
Website update:
Added 2025 past paper question files to the Higher Maths topic pages:
www.maths.scot/higher-maths
The N5 Maths and Higher Maths pages are now completely up-to-date.
Advanced Higher next.
Added 2025 past paper question files to the Higher Maths topic pages:
www.maths.scot/higher-maths
The N5 Maths and Higher Maths pages are now completely up-to-date.
Advanced Higher next.
Website update:
Added Clelland Maths video solutions for these N5 Maths topics:
Expanding
Factorising
Quadratics
Arcs and Sectors
Volume
Pythagoras
Angles in Shapes
Similarity
Vectors
3D Coordinates
Triangle Area
Sine/Cosine Rule
Trig Graphs/Equations/Identities
Data Sets
Added Clelland Maths video solutions for these N5 Maths topics:
Expanding
Factorising
Quadratics
Arcs and Sectors
Volume
Pythagoras
Angles in Shapes
Similarity
Vectors
3D Coordinates
Triangle Area
Sine/Cosine Rule
Trig Graphs/Equations/Identities
Data Sets
December 7, 2025 at 2:44 PM
Website update:
Added Clelland Maths video solutions for these N5 Maths topics:
Expanding
Factorising
Quadratics
Arcs and Sectors
Volume
Pythagoras
Angles in Shapes
Similarity
Vectors
3D Coordinates
Triangle Area
Sine/Cosine Rule
Trig Graphs/Equations/Identities
Data Sets
Added Clelland Maths video solutions for these N5 Maths topics:
Expanding
Factorising
Quadratics
Arcs and Sectors
Volume
Pythagoras
Angles in Shapes
Similarity
Vectors
3D Coordinates
Triangle Area
Sine/Cosine Rule
Trig Graphs/Equations/Identities
Data Sets
Website update: added six more worked examples for N5 Maths, drawn from the SQA 2025 exam papers.
www.maths.scot/national-5-m...
www.maths.scot/national-5-m...
National 5 Maths – Free Resources for Exam Success
National 5 Maths notes, videos, 429 worked examples, worksheets and Nat 5 Maths past paper exam questions by topic with full solutions.
www.maths.scot
November 13, 2025 at 2:13 PM
Website update: added six more worked examples for N5 Maths, drawn from the SQA 2025 exam papers.
www.maths.scot/national-5-m...
www.maths.scot/national-5-m...
Website update: added individual files for 2024 Higher Maths questions to the topic pages at maths.scot/higher-maths
The 2025 Higher Maths questions will be added before the end of this year and I’ll clear the Advanced Higher backlog ASAP.
The 2025 Higher Maths questions will be added before the end of this year and I’ll clear the Advanced Higher backlog ASAP.
Higher Maths – Free Resources for Exam Success
Higher Maths notes, videos, 161 worked examples with explanations, worksheets and Higher Maths past paper questions with full solutions.
maths.scot
November 13, 2025 at 11:32 AM
Website update: added individual files for 2024 Higher Maths questions to the topic pages at maths.scot/higher-maths
The 2025 Higher Maths questions will be added before the end of this year and I’ll clear the Advanced Higher backlog ASAP.
The 2025 Higher Maths questions will be added before the end of this year and I’ll clear the Advanced Higher backlog ASAP.
Website updates:
- Worked solutions to 2025 N5 Maths and 2025 Higher Maths added
- 2025 N5 Maths P1 and P2 questions attached to individual topic pages.
- Worked solutions to 2025 N5 Maths and 2025 Higher Maths added
- 2025 N5 Maths P1 and P2 questions attached to individual topic pages.
November 12, 2025 at 1:21 PM
Website updates:
- Worked solutions to 2025 N5 Maths and 2025 Higher Maths added
- 2025 N5 Maths P1 and P2 questions attached to individual topic pages.
- Worked solutions to 2025 N5 Maths and 2025 Higher Maths added
- 2025 N5 Maths P1 and P2 questions attached to individual topic pages.
Website update:
2025 SQA exam papers and marking instructions added.
Six new N5 Maths worked examples added (more to follow).
2025 SQA exam papers and marking instructions added.
Six new N5 Maths worked examples added (more to follow).
November 11, 2025 at 12:14 PM
Website update:
2025 SQA exam papers and marking instructions added.
Six new N5 Maths worked examples added (more to follow).
2025 SQA exam papers and marking instructions added.
Six new N5 Maths worked examples added (more to follow).
My most interesting pupil question this week:
"Will 3D Pythagoras always be on the calculator paper?"
This led us into a fun sideline discussion about square numbers that equal the sum of three squares: 9, 49, 169, 441, 961, etc (i.e. Pythagorean quadruples). The smallest two would be fair game.
"Will 3D Pythagoras always be on the calculator paper?"
This led us into a fun sideline discussion about square numbers that equal the sum of three squares: 9, 49, 169, 441, 961, etc (i.e. Pythagorean quadruples). The smallest two would be fair game.
November 1, 2025 at 9:59 AM
My most interesting pupil question this week:
"Will 3D Pythagoras always be on the calculator paper?"
This led us into a fun sideline discussion about square numbers that equal the sum of three squares: 9, 49, 169, 441, 961, etc (i.e. Pythagorean quadruples). The smallest two would be fair game.
"Will 3D Pythagoras always be on the calculator paper?"
This led us into a fun sideline discussion about square numbers that equal the sum of three squares: 9, 49, 169, 441, 961, etc (i.e. Pythagorean quadruples). The smallest two would be fair game.
#WorldPoetryDay2025
Mathematical Limerick by Leigh Mercer
A dozen, a gross and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared and not a bit more.
Mathematical Limerick by Leigh Mercer
A dozen, a gross and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared and not a bit more.
March 21, 2025 at 1:28 PM
#WorldPoetryDay2025
Mathematical Limerick by Leigh Mercer
A dozen, a gross and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared and not a bit more.
Mathematical Limerick by Leigh Mercer
A dozen, a gross and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared and not a bit more.
What did this pupil do wrong?
How to fix their misunderstanding?
The question was a worded problem (non-calculator) which they correctly understood required them to calculate 43×6+4.
The student’s answer was 702.
Hint: They did the multiplication correctly.
#mathstoday
How to fix their misunderstanding?
The question was a worded problem (non-calculator) which they correctly understood required them to calculate 43×6+4.
The student’s answer was 702.
Hint: They did the multiplication correctly.
#mathstoday
March 6, 2025 at 10:49 PM
What did this pupil do wrong?
How to fix their misunderstanding?
The question was a worded problem (non-calculator) which they correctly understood required them to calculate 43×6+4.
The student’s answer was 702.
Hint: They did the multiplication correctly.
#mathstoday
How to fix their misunderstanding?
The question was a worded problem (non-calculator) which they correctly understood required them to calculate 43×6+4.
The student’s answer was 702.
Hint: They did the multiplication correctly.
#mathstoday
Website update:
Clelland Maths video solutions to the 16 worked examples for the National 5 Maths 'Change of Subject' have now been added to the written solutions on www.maths.scot/nat5/change-...
Clelland Maths video solutions to the 16 worked examples for the National 5 Maths 'Change of Subject' have now been added to the written solutions on www.maths.scot/nat5/change-...
Change of Subject – National 5 Maths – Free Resources
Nat 5 Maths - Changing the subject of a given formula. Notes, videos, examples and other great resources.
www.maths.scot
February 23, 2025 at 3:14 PM
Website update:
Clelland Maths video solutions to the 16 worked examples for the National 5 Maths 'Change of Subject' have now been added to the written solutions on www.maths.scot/nat5/change-...
Clelland Maths video solutions to the 16 worked examples for the National 5 Maths 'Change of Subject' have now been added to the written solutions on www.maths.scot/nat5/change-...
Website update:
Clelland Maths video solutions to the worked examples for the Advanced Higher Maths 'Number Theory' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Clelland Maths video solutions to the worked examples for the Advanced Higher Maths 'Number Theory' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Number Theory – Advanced Higher Maths
Free study resources for the Number Theory topic in Advanced Higher Maths. Includes clear notes, detailed worked examples and past paper solutions.
www.maths.scot
February 23, 2025 at 11:49 AM
Website update:
Clelland Maths video solutions to the worked examples for the Advanced Higher Maths 'Number Theory' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Clelland Maths video solutions to the worked examples for the Advanced Higher Maths 'Number Theory' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Website update:
Clelland Maths video solutions to the 18 worked examples for the Higher Maths Differentiation topic have now been added to the written solutions on www.maths.scot/higher/diffe...
Clelland Maths video solutions to the 18 worked examples for the Higher Maths Differentiation topic have now been added to the written solutions on www.maths.scot/higher/diffe...
Differentiation – Higher Maths – Free Study Resources
Higher Maths - differentiation, equation of a tangent, stationary points, chain rule, optimisation, rate of change, greatest and least values. Notes, videos and examples.
www.maths.scot
February 11, 2025 at 11:08 AM
Website update:
Clelland Maths video solutions to the 18 worked examples for the Higher Maths Differentiation topic have now been added to the written solutions on www.maths.scot/higher/diffe...
Clelland Maths video solutions to the 18 worked examples for the Higher Maths Differentiation topic have now been added to the written solutions on www.maths.scot/higher/diffe...
Website update:
Clelland Maths video solutions to the 11 worked examples for the National 5 Maths 'Simultaneous Equations' topic have now been added to the written solutions on www.maths.scot/nat5/simulta...
Clelland Maths video solutions to the 11 worked examples for the National 5 Maths 'Simultaneous Equations' topic have now been added to the written solutions on www.maths.scot/nat5/simulta...
Simultaneous Equations – National 5 Maths – Free Resources
Nat 5 Maths - Constructing and solving simultaneous equations, graphically and algebraically. Notes, videos, examples and other great resources.
www.maths.scot
February 7, 2025 at 9:54 AM
Website update:
Clelland Maths video solutions to the 11 worked examples for the National 5 Maths 'Simultaneous Equations' topic have now been added to the written solutions on www.maths.scot/nat5/simulta...
Clelland Maths video solutions to the 11 worked examples for the National 5 Maths 'Simultaneous Equations' topic have now been added to the written solutions on www.maths.scot/nat5/simulta...
Website update:
Clelland Maths video solutions to the 14 worked examples for the Advanced Higher Maths 'Methods of Proof' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Clelland Maths video solutions to the 14 worked examples for the Advanced Higher Maths 'Methods of Proof' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Methods of Proof – Advanced Higher Maths
Free study resources for the Methods of Proof topic in Advanced Higher Maths. Includes clear notes, detailed worked examples and past paper solutions.
www.maths.scot
January 27, 2025 at 9:55 AM
Website update:
Clelland Maths video solutions to the 14 worked examples for the Advanced Higher Maths 'Methods of Proof' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Clelland Maths video solutions to the 14 worked examples for the Advanced Higher Maths 'Methods of Proof' topic have now been added to the written solutions on www.maths.scot/advanced-hig...
Reposted by Maths.scot
What is *Mathematics* about?
I'm looking for pithy, engaging, relatable, positive, short (1 or 2 words) about what makes mathematics mathematics? How can you spot it in the wild?
I'm thinking "patterns", "relationships", "shapes", "changes",...
What else?
I'm looking for pithy, engaging, relatable, positive, short (1 or 2 words) about what makes mathematics mathematics? How can you spot it in the wild?
I'm thinking "patterns", "relationships", "shapes", "changes",...
What else?
January 18, 2025 at 12:57 PM
What is *Mathematics* about?
I'm looking for pithy, engaging, relatable, positive, short (1 or 2 words) about what makes mathematics mathematics? How can you spot it in the wild?
I'm thinking "patterns", "relationships", "shapes", "changes",...
What else?
I'm looking for pithy, engaging, relatable, positive, short (1 or 2 words) about what makes mathematics mathematics? How can you spot it in the wild?
I'm thinking "patterns", "relationships", "shapes", "changes",...
What else?