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Higher Maths

Two papers, 120 marks, and nearly half of it sat without a calculator. Here is how the course is assessed, why the step up from National 5 catches people out, and free practice with worked solutions.

Higher Maths is the Scottish qualification usually taken in S5 and awarded by Qualifications Scotland. It is examined by two papers – Paper 1, 55 marks in 1 hour 15 minutes with no calculator, and Paper 2, 65 marks in 1 hour 30 minutes with one – giving 120 marks, graded A to D with no coursework. The marks and timings changed in the 2023 course revision, so a good deal of older revision material still shows the wrong figures. Math Wizard teaches Higher in person in Glasgow, Edinburgh, Aberdeen and Dundee, or online, at £60–£80 per hour.

How Higher Maths Is Assessed

Component Marks Time Calculator
Question paper 1 55 1 hour 15 minutes Not permitted
Question paper 2 65 1 hour 30 minutes Permitted
Total 120 2 hours 45 minutes —

Graded A to D on the total mark. No assignment or coursework. As with National 5, the May 2023 revision changed these marks and durations – older revision guides carry different figures.

Why Higher Feels So Much Harder Than National 5

Calculus arrives with no warning. Differentiation and integration have no equivalent anywhere in National 5. A student meets an entirely new way of thinking about functions in the first term, while still being expected to keep pace with everything else.

A third more paper. 120 marks against 90, across two papers rather than a gentler pair. The volume alone is a step up in stamina.

Half of it without a calculator. 55 of the 120 marks are on Paper 1. Exact trigonometric values, surds, algebraic fractions and calculus by hand – a student who leans on the calculator through the year finds out in May.

And the stakes changed. National 5 is a qualification. Higher is the one university offers are written in. Students feel that difference, and it does not always help them.

The students who cope best are usually the ones who spent the summer between S4 and S5 shoring up National 5 algebra rather than resting on the grade. Fluent algebraic manipulation is the thing Higher assumes and rarely re-teaches.

Stuck on something in particular?

Everything on this page is free and always will be. If a topic isn’t going in, we also teach Higher Maths one-to-one and in small groups – the first lesson is half price, with no contract.

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Free Higher Maths Worksheets

Practice questions written to the current course specification, with full worked solutions. Free, with no account and no email address.

Browse Higher worksheets National 5 Maths Advanced Higher Maths

Higher Maths – Common Questions

Two question papers totalling 120 marks. Paper 1 is non-calculator, 55 marks and one hour 15 minutes. Paper 2 allows a calculator and is 65 marks over one hour 30 minutes. There is no coursework or assignment.
Substantially, and the gap is bigger than the grades suggest. Higher is 120 marks against 90, and it introduces calculus - differentiation and integration - which has no equivalent at National 5. Students who scored a B at National 5 by working hard at familiar methods often find the first term of Higher is the first time maths has genuinely been difficult for them.
Paper 1 carries 55 of the 120 marks, so nearly half the course is assessed without a calculator. Exact values in trigonometry, differentiation and integration, algebraic manipulation and straight-line work all appear there, and fluency with surds and fractions matters more than most students expect.
The qualification is unchanged, but on 1 February 2026 Qualifications Scotland replaced SQA as Scotland's national awarding body. Existing course specifications and past papers remain valid.
Most commonly S5, after National 5 in S4, though the course specification does not tie it to a year group and some students sit it in S6. Higher Maths is the qualification most Scottish university courses look at, which is why the pressure on it is different from National 5.
For many Scottish degree courses in science, engineering, economics, computing and medicine, yes - and often at a specific grade. The requirement varies by university and course, so check the specific entry requirements rather than assuming, but Higher Maths closes fewer doors than almost any other subject choice.

Course structure verified against the Higher Mathematics course specification (C847 76, version 3.0, May 2023), published by SQA, now Qualifications Scotland.

Where these facts come from

Every paper structure, mark total, timing and grade scale on this page was checked against the awarding body’s own published specification. Those documents are free, and they are the only source that is definitive – if anything here ever disagrees with one of them, the specification is right and this page is wrong.

Specifications are revised from time to time. Where a course has changed – the 2023 revision to National 5 and Higher, for example – this site follows the current version, which a good deal of older revision material still does not.