Here you will find all National 5 Maths past paper and SQA specimen paper questions from 2014 to 2023, organised by topic and sub-topic, including answers.
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Numeracy topics
Fractions
Percentages: mixed questions
− Appreciation and depreciation
− Reverse percentage
Scientific notation
Surds: mixed questions
− Simplifying surds
− Rationalising the denominator
Indices
Algebra topics
Expanding brackets
Factorising: mixed questions
− Routine factorisation
− Factorising to simplify algebraic fractions
− Factorising to solve quadratic equations
Algebraic fractions: mixed questions
− Adding or subtracting algebraic fractions
− Multiplying or dividing algebraic fractions
− Simplifying algebraic fractions
Functions
Straight line: mixed questions
− Finding the equation of a straight line
− Identifying the gradient or an intercept
Linear equations
Linear inequalities
Simultaneous equations: mixed questions
− Routine simultaneous equations
− Simultaneous equations in context
Changing the subject
Completing the square
Quadratic equations by factorising
Quadratic formula
Quadratic graphs
Quadratics: nature of the roots
Geometry topics
Arcs and sectors: mixed questions
− Arc length
− Sector area
Volume
Pythagoras: mixed questions
− 3D Pythagoras
− Converse of Pythagoras
− Pythagoras in a circle
Angles in shapes
Similar shapes
Vectors: mixed questions
− Vector pathways
− Vector components
− Magnitude of a vector
3D coordinates
Trigonometry topics
Area of a triangle
Sine rule: mixed questions
− Finding a side with the sine rule
− Finding an angle with the sine rule
Cosine rule: mixed questions
− Finding a side with the cosine rule
− Finding an angle with the cosine rule
Mixed sine and cosine rules (no bearings)
Mixed sine and cosine rules (with bearings)
Trigonometric graphs
Trigonometric equations
Trigonometric identities
Statistics topics
Comparing data sets: mixed questions
− Median and IQR (or SIQR pre-2022)
− Mean and standard deviation
Line of best fit
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