National 5 Maths

National 5 Maths Paper 1: preparing for the non-calculator paper

Paper 1 is 1 hour, 40 marks, with no calculator. Any skill in the course can appear, so fractions, surds, indices and clean algebra carry the marks.

Time1 hour
Marks40 of the 90
CalculatorNot allowed
QuestionsShort-answer and extended-response, all compulsory

Have these ready by hand

  • The four operations with fractions and mixed numbers.
  • Simplifying surds, rationalising denominators and the laws of indices, including fractional and negative powers.
  • Expanding, factorising and completing the square, and solving quadratic equations by factorising.

Show the working

Marks are given for each stage of working, so write one step a line. A bare answer can lose the method marks even when it is right.

Try 2 questions

Question 1Paper 1 style · no calculator
Calculate .
Question 2Paper 1 style · no calculator
Factorise fully 3x2−123x^2 - 12.

Next step

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.

Do I need to rationalise denominators?

Yes. Simplifying surds and rationalising denominators are both in the course.