Nat 5 Maths SQA Past papers by topic

Welcome to our National 5 Mathematics SQA Past paper topic by topic booklet section! These booklets are designed to be downloaded and viewed electronically but feel free to print them off if you wish. Just simply click on the links below to download them.

Each question is linked to a full video solution. Just click on each link if viewing them electronically.

These topic by topic booklets should give you an indepth understanding of the types of questions that could appear in your final examination. Try and answer each question more than once throughout the year. If you manage this, you will instantly recognise (and therefore should know how to answer!) at least 90% of your final exam.

Good luck!

Expressions & Formulae

1.1a - Working with surds

1.1b - The laws of indices

1.2a - Multiplying out brackets

1.2b - Factorising expressions

1.2c - Completing the square

1.3 - Algebraic fractions

1.4a - Calculating the gradient of a line

1.4b - Arcs and sectors

1.4c - Volumes of solids

Relationships

1.1a - Straight line

1.1b - Functional notation

1.1c - Linear equations and inequalities

1.1d - Simultaneous equations

1.1e - Changing the subject of a formula

1.2 - Graphs of quadratic functions

1.3a - Solving quadratic equations

1.3b - The discriminant

1.4a - Applying Pythagoras' Theorem

1.4b - Angles in a circle

1.4c - Using similarity

1.5a - Graphs of trigonometric functions

1.5b - Trig equations and identities

Applications

1.1 - Trigonometry in triangles

1.2 - Vectors

1.3a - Working with percentages

1.3b - Working with fractions

1.4 - Comparing data sets using statistics