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National 5 and Higher Mathematics

Scottish Maths resources

Free practice and teaching material for the two main Scottish maths courses, National 5 and Higher, organised by course and published as downloadable PDFs with worked answers for every question.

These are independent resources aligned to Qualifications Scotland National 5 Mathematics (C847 75) and Higher Mathematics (C847 76), not produced, approved, endorsed by or affiliated with Qualifications Scotland or the former SQA.

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Which course are you studying?

Both courses are live. Each has a set of lesson notebooks that teach the course chapter by chapter, and a set of exam practice books with eight modules per book. Everything comes with worked answers.

National 5 Maths

Grades A to D4 notebooks, 51 chapters4 practice books

Two resource sets. The lesson notebooks teach Number, Algebra, Geometry and Trigonometry, and Statistics in 51 chapters. The exam practice books give eight modules of 45 questions for each of the four areas.

Higher Maths

Grades A to D4 notebooks, 64 chapters5 practice books

Two resource sets. The lesson notebooks teach Number, Algebra, Geometry and Trigonometry, and Calculus in 64 chapters. The five exam practice books run from algebraic skills to integral calculus, eight modules each.

Independent and original

Everything here is independently written for the current course specifications. Nothing reproduces official question papers, marking instructions or diagrams, so these books sit alongside past papers without overlap.

Free to download, no sign up and no email required, for personal and household educational use.

CourseCodePaper 1 (non-calculator)Paper 2 (calculator)
National 5C847 7540 marks, 1 hour50 marks, 1 hour 30 minutes
HigherC847 7655 marks, 1 hour 15 minutes65 marks, 1 hour 30 minutes

Both courses are graded A to D and provide a formulae list in the exam. Higher is a separate qualification taken after National 5; it is not the same as GCSE Higher tier. Studying in England or Wales instead? See our GCSE Maths resources.

Free Website Edition, for personal and household educational use. Tutors and schools must obtain the appropriate licence before copying for learners. Resale, paid redistribution and third-party uploading are prohibited. More is on the way: we are sharing everything here free, so every student can use it and push for their best result, whether they study with us or not.

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