Maths Mutt Publications

Suitable for anyone studying basic percentages.

Topics include:

• Converting to and from percentages
• Calculating percentage of amounts (mental and calculator)
• VAT, percentage profit and loss
• Back percentage
• Appreciation / Depreciation

Revision notes for basic statistics and probability, suitable for BGE Information Handling, National 4, National 5, and Higher.

Topics include:

• Basic statistical terms
• Mean, Median, Mode, Range
• Five‑figure summary and SIQR
• Stem & Leaf, Dot Plot, Box Plot
• Standard Deviation
• Frequency Tables, Cumulative Frequency
• Grouped Frequency midpoints
• Relative frequency
• Line of Best Fit
• Probability
• Mutually exclusive events, addition & multiplication laws
• Tree diagrams

These revision notes are designed for anyone wishing to brush up on basic algebra.

Topics include:

• Algebra vocabulary
• Collecting like terms
• Simplifying expressions
• Evaluating expressions
• Removing brackets
• Brackets with powers
• Factorising
• Factorising quadratics
• Difference of two squares
• Evaluating formulae
• Changing the subject
• Intro to algebraic fractions
• Solving equations
• Solving inequations
• Simultaneous equations
• Functions (basic introduction)

This book contains a quick refresher of angles.

Topics include:

• Naming angles
• Angle types
• Complementary, supplementary, vertically opposite, alternate, corresponding angles
• Angles in a triangle

This book provides a refresher for basic trigonometry.

Topics include:

• Basic use of Sine, Cosine and Tangent to find sides or angles in right‑angled triangles
• Derivation and examples of the Sine Rule, Cosine Rule and Area of a triangle

These notes are suitable as a revision aid for anyone studying trigonometry.

Topics include:

• Angles greater than 90°
• Angles between 90° and 180°
• Angles between 180° and 270°
• Angles between 270° and 360°
• y = sin x°, y = cos x°, y = tan x°
• CAST
• Amplitude and period
• y = –sin x°, y = –cos x°, y = –tan x°
• y = a sin b x°, y = a cos b x°
• y = a sin b x° + c, y = a cos b x° + c
• y = a sin(b x° + d), y = a cos(b x° + d)
• y = a sin(b x° + d) + c, y = a cos(b x° + d) + c
• 90° phase shift
• Radian refresher
• Trig graphs in radians
• Exact values
• y = cosec x, y = sec x, y = cot x

These notes are suitable as a revision aid for anyone studying exponentials and logarithms.

Topics include:

• Exponentials
• Growth functions
• Decay functions
• Graphs: log scale on Y‑axis only
• Graphs: log scale on both axes
• Logarithms
• Logarithmic equations
• Graphs of exponential and log functions
• Exponential functions
• Logarithmic functions
• Shifting log graphs

Topics include:

• Cartesian grid refresher
• Gradient
• Gradient triangle
• The gradient formula
• The equation of a straight line
• y − b = m(x − a)
• Drawing straight lines
• Finding the equation of a line from its graph
• Line of best fit
• Simultaneous equations
• Straight line graphs not labelled x and y
• Graphs of the form logₙy = x
• Graphs of the form log y = log x
• Proportion and straight lines
• Properties of straight lines
• Parallel lines
• Gradient and tangent
• Refresher: trig exact values
• Gradient and differentiation
• Gradients of curves
• Distance formula
• Midpoint formula
• Perpendicular lines
• Collinearity
• Perpendicular bisector
• Concurrency
• Straight lines and triangles
• Circumcentre
• Circumcircle
• Altitude
• Median

This little revision book contains a total of 18 questions with worked solutions.

• Sine Rule: 7 questions
• Cosine Rule: 7 questions
• Area of a Triangle: 4 questions

These notes are suitable as a revision aid for anyone studying basic vectors.

Topics include:

• Definitions: scalars and vectors
• Column vectors
• Equal vectors
• Magnitude
• Addition of vectors
• Subtraction of vectors
• The zero vector
• Unit vector
• Position vectors
• 3D vectors
• Multiplication of a vector by a scalar
• Section formula
• The scalar (dot) product
• Component form of dot product
• Angle between vectors
• Perpendicular vectors

Revision notes for plotting quadratic functions and solving quadratic equations.

Topics include:

• Quadratics
• Completing the square
• Quadratic equations and formula
• Factorising quadratics
• Discriminant
• Tangency
• Deriving the quadratic formula

This book contains twenty‑six sets of questions with worked solutions. Primarily aimed at the Scottish SQA National 5 Mathematics award, the material is also useful for GCSE revision.

Topics include:

• Arcs & Sectors
• Algebra
• Completing the Square
• Fractions
• Line of Best Fit
• Pythagoras’ Theorem
• Quadratics
• Simultaneous Equations
• Standard Deviation & Boxplots
• The Straight Line
• Surds & Indices
• Trigonometry (including trig equations & graphs)
• Basic Vectors

This book contains fifteen sets of questions with worked solutions. Primarily aimed at the Scottish SQA Higher, the material is also useful for parts of the A Level award.

Topics include:

• Circles
• Differentiation
• Functions
• Integration
• Logs and Exponentials
• Polynomials
• Quadratics
• Recurrence relations
• Straight Lines
• Trigonometry
• Vectors
• Wave Theory

These notes are primarily designed as a revision aid for the post‑August 2015 SQA Advanced Higher Mathematics course, but are also useful for anyone studying AS, A‑Level, or First‑Year University Mathematics.

Topics include:

• Binomial Theorem
• Calculus — Differentiation, Integration, Differential Equations
• Complex Numbers
• Functions
• Mathematical Proof
• Matrices and Gaussian Elimination
• Number Theory
• Partial Fractions
• Sequences and Series
• Vectors

This little book contains twenty questions with worked solutions, designed as a quick revision resource for pupils studying SQA Advanced Higher Mathematics of Mechanics.

Topics include:

• Turning moments
• Vectors
• Impulse
• Objects on inclines
• Work done
• Differential equations
• Centre of gravity
• Springs
• Phase constant