Independent preparation for the SQA Advanced Higher Mathematics exam. Not affiliated with or endorsed by Qualifications Scotland (SQA).

Advanced Higher Maths Paper 1: preparing for the non-calculator paper

Paper 1 is 1 hour, 35 marks, with no calculator. Any skill in the course can appear, so fluent algebra, exact values and careful working carry the marks.

Time	1 hour
Marks	35 of the 115
Calculator	Not allowed
Questions	Short-answer and extended-response

Have these ready by hand

Exact values of trigonometric functions at the standard angles, in radians.
Partial fractions, the binomial theorem and the standard derivatives and integrals.
Row reduction of a 3 by 3 system, determinants and inverses of small matrices.

Show every step

Write one step a line, keep answers exact unless asked to round, and in a proof state each step and why it follows.

Try 2 questions

Question 1Paper 1 style · no calculator

Find the coefficient of

x^3

in the expansion of

(2x - 3)^5

Question 2Paper 1 style · no calculator

Express

\frac{3 + 4i}{1 - 2i}

in the form

a + bi

Next step

Take the free test Start the partial fractions lesson

Questions people ask

Which topics can be on Paper 1?

Any skill in the course. Questions are set so the arithmetic can be done by hand.