Maths.scot
@maths.scot
Free resources for Scottish Maths teachers and secondary pupils at Maths.scot
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?
How to cheer students up on their first day back of the new year:
“None of us had been born in 1936 and we’ll all be dead by 2116.”
“None of us had been born in 1936 and we’ll all be dead by 2116.”
January 6, 2025 at 5:57 PM
How to cheer students up on their first day back of the new year:
“None of us had been born in 1936 and we’ll all be dead by 2116.”
“None of us had been born in 1936 and we’ll all be dead by 2116.”
Reposted by Maths.scot
New report from the Commission on School Reform highlights worrying FOI data based on the number of pupils in the S4 cohort, rather than the number which sit the exams. While 75% of S4 pupils passed Nat 5 English in 2024, only 40% passed Nat 5 Maths
www.reformscotland.com/publication/...
www.reformscotland.com/publication/...
Broken Stem - Reform Scotland
The Commission on School Reform, the independent group of education experts set up by the think tank Reform Scotland, today releases “very worrying” Freedom
www.reformscotland.com
December 27, 2024 at 9:12 AM
New report from the Commission on School Reform highlights worrying FOI data based on the number of pupils in the S4 cohort, rather than the number which sit the exams. While 75% of S4 pupils passed Nat 5 English in 2024, only 40% passed Nat 5 Maths
www.reformscotland.com/publication/...
www.reformscotland.com/publication/...
What’s going on here?
Student could convert 2¾ into an improper fraction, but then had no idea how many quarters are in 2¾.
Student could convert 2¾ into an improper fraction, but then had no idea how many quarters are in 2¾.
November 27, 2024 at 4:47 PM
What’s going on here?
Student could convert 2¾ into an improper fraction, but then had no idea how many quarters are in 2¾.
Student could convert 2¾ into an improper fraction, but then had no idea how many quarters are in 2¾.
Reposted by Maths.scot
Revealed: How not a single maths department in Moray’s schools is fully staffed
Revealed: How not a single maths department in Moray’s schools is fully staffed
The lack of specialist teachers is having a 'huge impact' on pupils' attainment.
dlvr.it
November 26, 2024 at 5:05 PM
Revealed: How not a single maths department in Moray’s schools is fully staffed
N5 Maths: factorising a difference of two squares.
In the SQA specification, the given format is p²𝑥² − a².
2016 P2 Q4: 3𝑥² − 48
2017 P2 Q9: 4𝑥² − 25
2019 P2 Q13: 4p² − 9
2021 P2 Q3: 3a² − 75
2022 P2 Q12: b² − 9
2023 P2 Q12: 𝑥² − 16
So would 9 − x² or 𝑥² − y² be unfair? Thoughts?
#ScottishMaths
In the SQA specification, the given format is p²𝑥² − a².
2016 P2 Q4: 3𝑥² − 48
2017 P2 Q9: 4𝑥² − 25
2019 P2 Q13: 4p² − 9
2021 P2 Q3: 3a² − 75
2022 P2 Q12: b² − 9
2023 P2 Q12: 𝑥² − 16
So would 9 − x² or 𝑥² − y² be unfair? Thoughts?
#ScottishMaths
November 25, 2024 at 5:53 PM
N5 Maths: factorising a difference of two squares.
In the SQA specification, the given format is p²𝑥² − a².
2016 P2 Q4: 3𝑥² − 48
2017 P2 Q9: 4𝑥² − 25
2019 P2 Q13: 4p² − 9
2021 P2 Q3: 3a² − 75
2022 P2 Q12: b² − 9
2023 P2 Q12: 𝑥² − 16
So would 9 − x² or 𝑥² − y² be unfair? Thoughts?
#ScottishMaths
In the SQA specification, the given format is p²𝑥² − a².
2016 P2 Q4: 3𝑥² − 48
2017 P2 Q9: 4𝑥² − 25
2019 P2 Q13: 4p² − 9
2021 P2 Q3: 3a² − 75
2022 P2 Q12: b² − 9
2023 P2 Q12: 𝑥² − 16
So would 9 − x² or 𝑥² − y² be unfair? Thoughts?
#ScottishMaths
More #ScottishMaths teachers to follow:
@juliemorgan.bsky.social
@audproctor77.bsky.social
@kevinghall.bsky.social
@juliemorgan.bsky.social
@audproctor77.bsky.social
@kevinghall.bsky.social
November 24, 2024 at 10:57 AM
More #ScottishMaths teachers to follow:
@juliemorgan.bsky.social
@audproctor77.bsky.social
@kevinghall.bsky.social
@juliemorgan.bsky.social
@audproctor77.bsky.social
@kevinghall.bsky.social
Reposted by Maths.scot
Today’s poem celebrates Fibonacci Day. It’s called ‘Word Crunching’.
November 23, 2024 at 8:50 AM
Today’s poem celebrates Fibonacci Day. It’s called ‘Word Crunching’.
#ScottishMaths
The @bsky.app community is growing! Who to follow:
@mistercorzi.bsky.social
@mrwilsoncompsci.bsky.social
@segarrogers.bsky.social
@brynspiration.bsky.social
@garyl.bsky.social
@mrallanmaths.bsky.social
@khuntermaths.bsky.social
@missdicksonmaths.bsky.social
@maths-geek.bsky.social
The @bsky.app community is growing! Who to follow:
@mistercorzi.bsky.social
@mrwilsoncompsci.bsky.social
@segarrogers.bsky.social
@brynspiration.bsky.social
@garyl.bsky.social
@mrallanmaths.bsky.social
@khuntermaths.bsky.social
@missdicksonmaths.bsky.social
@maths-geek.bsky.social
November 23, 2024 at 10:20 AM
I have created a #ScottishMaths feed to help us follow relevant posts. The tag is intended for use by primary and secondary teachers of mathematics in Scotland.
November 22, 2024 at 1:20 PM
I have created a #ScottishMaths feed to help us follow relevant posts. The tag is intended for use by primary and secondary teachers of mathematics in Scotland.
Reposted by Maths.scot
With many schools now reassessing their use of social media, @nuthmani.bsky.social weighs up the advantages and potential challenges of having an online presence
Social media in schools: the pros and cons in a changing landscape
With many schools reassessing their use of social media platforms, Nuzhat Uthmani weighs up the benefits and the potential challenges of having an online presence
www.tes.com
November 21, 2024 at 6:55 AM
With many schools now reassessing their use of social media, @nuthmani.bsky.social weighs up the advantages and potential challenges of having an online presence
November 20, 2024 at 10:29 AM