Maths Mutt Publications

Kindle and printed books created by Maths Mutt and published by Beagle Bytes


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Maths Pad

A scribble jotter for maths.
Ideal for home schooling, revision or doing separate work for a tutor.

  • Blank Pages
  • 20x20 box grid with space underneath to write
  • 25 wide by 35 high box grid
  • 30 by 30 grid with centre axes
  • 10 boxes wide by 20 boxes high dotty paper
  • Horizontal isometric paper
  • Vertical isometric paper
  • Lined paper
Tic-Tac-Toe: Noughts and Crossese

Revision Series

 

The Revision series is a collection of notes and examples to help with revision.

kindle editions

paperback editions


Percentages Revision

Suitable for anyone studying basic percentages
Topics include:

  • Converting to and from percentages.
  • Calculating percentage of amounts using mental and calculator methods.
  • Calculating VAT Percentage profit and loss
  • Calculating the back percentage
  • Appreciation/Depreciation

Basic Statistics & Probability

Revision notes for basic statistics and probability, suitable for the Scottish BGE Information Handling maths and numeracy outcomes, National 4, National 5 and as a revision for Higher mathematics.
Topics include:

  • Basic statistical terms
  • Mean , Median, Mode , Range
  • The five-figure summary and SIQR
  • Basic Statistical Diagrams - Stem and Leaf Diagrams ,Dot plot, Box plots
  • Standard Deviation
  • Frequency Tables, Cumulative Frequency
  • Grouped Frequency table mid point class intervals
  • Relative frequency
  • Line of Best Fit
  • Probability
  • Mutually exclusive, The addition law , The multiplication law
  • Tree diagrams

Basic Algebra

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

  • Vocabulary used in algebra
  • Collecting like terms
  • Simplifying an expression
  • Evaluating an expression
  • Removing Brackets
  • Brackets with powers
  • Factorising
  • Factorising quadratics
  • Difference of two squares
  • Evaluating Formulae
  • Changing the subject of the formula
  • Algebraic Fractions intro
  • Solving Equations
  • Solving Inequations
  • Solving Simultaneous Equations
  • Functions ( Basic introduction)

Angles Refresher

This book contains a quick refresher of angles
Topics include:

  • Naming Angles
  • Angle Types
  • Complementary, supplementary , vertically opposite, alternate, corresponding angles.
  • The angles in a triangle

Pocket Revision : Basic Trigonometry Pocket Revision : Basic Trigonometry

This book provides a refresher for basic trigonometry.
Topics include:

  • basic use of Sine, Cosine and Tangent to find sides or angles of right-angled triangles
  • Derivation and examples of the Sine Rule, Cosine Rule and Area of a triangle.

Trig Graphs

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 = sinx° , y = cosx° , y = tanx°
  • CAST
  • Amplitude and period
  • y = -sinx°, y = -cosx° , y = -tanx°
  • y = asinbx° ,y = acosbx°
  • y = asinbx°+c ,y = acosbx°+c
  • y = asin(bx°+d) , y = acos(bx°+d)
  • y = asin(bx°+d)+c , y = acos(bx° +d)+c
  • 90° Phase shift
  • Radian Refresher
  • Trig graphs in radians
  • Exact values
  • y = cosecx , y = cosecx , y = cotx

Exponentials and Logarithms

These notes are suitable as a revision aid for anyone studying exponentials and logarithms
Topics include:

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

Straight Lines and Triangles


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 form logny = x
  • Graphs of form logy = logx
  • 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

Sine and cosine rules, area of a triangle

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 .

Vectors Revision

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

  • Definitions Scalars ,Vectors
  • Column Vectors
  • Equal Vectors
  • Magnitude
  • Addition of Vectors
  • Subtraction of vectors
  • The Zero Vector
  • Unit Vector
  • Position Vectors
  • 3 D Vectors
  • Multiplication of a vector by a Scalar
  • Section Formula
  • The Scalar Product : Dot Product
  • Component Form of Dot Product
  • Angle between vectors
  • Perpendicular Vectors

Quadratics Revision

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

Nat5/GCSE Mathematics Revision Questions With Worked Solutions Nat5/GCSE Mathematics Revision Questions With Worked Solutions

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 (inc Trig Equations & Graphs)
  • Basic Vectors

Higher Mathematics Revision Questions: With Worked Solutions Higher Mathematics Revision Questions: With Worked Solutions

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

New Advanced Higher Mathematics Revision Notes New Advanced Higher Mathematics Revision Notes

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

Quick Revision Questions Advanced Higher Mathematics of Mechanics

This little book contains a total of twenty questions with worked solutions, designed as a quick revision 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



Drill Questions Series

 

The Drill Questions series provides material to help improve fluency in skills.

kindle editions

paperback editions


Fractions Revision

This book contains notes and 1,800 drill questions as an aide for revising basic fractions
Topics include:

  • Equivalent fractions
  • Simplifying fractions
  • Calculating fractions of amounts
  • Adding and subtracting fractions
  • Multiplying and dividing fractions

Revision Pythagoras' Theorem

This book contains revision notes and 30 practice questions with worked solutions for utilising the theorem of Pythagoras.
Topics include:

  • Finding the Hypotenuse
  • Finding a Side
  • Exact Values
  • Pythagoras in Circles
  • Hidden Pythagoras

Algebra Word Questions Algebra Word Questions

This book contains 250 algebra word questions, ranging from "Six times a number is 78" to "Three hundred forty-four more than the second of three consecutive even integers is the same as the difference between the third and nine times the first."
The aim ? Find the number - or numbers - which make the statements true.

Rounding and Significant Figures

This book contains 3,000 rounding drill questions to help perfect rounding skills.
Topics include:

  • Round to the nearest 10
  • Round to the nearest 100
  • Round to the nearest 1000
  • Round to the nearest 10,000
  • Round to the nearest 100,000
  • Round to the nearest unit
  • Round to 1 decimal place
  • Round to 2 decimal places
  • Round to 3 decimal places
  • Round to 4 decimal places
  • Round to 1 significant figure
  • Round to 2 significant figures
  • Round to 3 significant figures
  • Calculate the answer, then round to 2 significant figures

Factorising Quadratics

This book contains 1,000 drill questions to help perfect the skill of factorising quadratics and expanding double brackets.
Ideal for all students, it is particularly useful as a home learning resource for GCSE and SQA National 5 Mathematics and as a refresher for SQA Higher and A level mathematics.

  • 500 expanding brackets questions
  • 500 factorising quadratic expressions

Mean, Median, Mode and Range

This book contains 2,000 drill questions - each requiring the mean, mode, median and range to be calculated for a data set.

Co-ordinates Revision

This revision book contains notes and drill questions as an aide for revising reading co-ordinates.

Clock Faces

This revision book contains 270 questions to help enhance analogue clock face reading skills.




Numeracy : 5 Minute 50

 

The aim is to try and complete a page of 50 numeracy questions in 5 minutes.There are three sets, differentiated by level.
Each book contains 5,000 numeracy questions to try.

kindle editions

paperback editions


Five Minute Fifty (Set A) Five Minute Fifty (Set A)

This is Set A, which contains 5,000 easier questions.
Skills tested :

  • Convert percentages to decimals.
  • Complete equivalent fractions. (Denominator 3,4,5,6 or 8)
  • Calculate percentage of amounts (10%,20%,50%)
  • Non decimal rounding.
  • Basic operations

Five Minute Fifty (Set B) Five Minute Fifty (Set B)

This is Set B, which contains 5,000 intermediate questions.
Skills tested :

  • Convert decimals to percentages.
  • Complete two part equivalent fractions. (Denominator 3,4,5,6 or 8)
  • Calculate percentage of amounts (5%,25%, multiples of 10%)
  • Rounding including two decimal places.
  • Basic operations

Five Minute Fifty (Set C) Five Minute Fifty (Set C)

This is Set C, which contains 5,000 harder questions.
Skills tested :

  • Mixed conversions of decimals and percentages.
  • Equivalent fractions.
  • Calculate percentage of amounts.
  • Rounding including three decimal places.
  • Squaring numbers from 2 to 100.



Numeracy Workbooks

 

These maths workbooks help improve and maintain numeracy skills and mental agility out of the classroom.
Each book contains 2,000 numeracy questions to try.

Ideal for holiday activities ,home schooling or just for fun!


paperback editions


Numeracy Match Up Workbook: Addition

Numeracy Match Ups - calculate the answer to the sum then draw a line to match the answer.
This workbook contains 100 sets of addition questions.


numeracy match up addition

Numeracy Match Up Workbook: Subtraction

Numeracy Match Ups - calculate the answer to the sum then draw a line to match the answer.
This workbook contains 100 sets of subtraction questions.

subtraction

Numeracy Match Up Workbook: Multiplication

Numeracy Match Ups - calculate the answer to the sum then draw a line to match the answer.
This workbook contains 100 sets of multiplication questions.

multiplication

Numeracy Match Up Workbook: Division

Numeracy Match Ups - calculate the answer to the sum then draw a line to match the answer.
This workbook contains 100 sets of division questions.

division

Numeracy Match Up Workbook: Mixed Operations

Numeracy Match Ups - calculate the answer to the sum then draw a line to match the answer.
This workbook contains 100 sets of mixed operations questions.

mixed


Pooch Puzzles

Crosswords, sudokus, word searches - some educational, some just for fun.


paperback editions


Shaped Word Search Puzzles

This book contains 118 shaped word searches, for some educational fun.

  • Aircraft shaped Puzzles : Aircraft, Airlines, Airports ( 30 puzzles)
  • 3 Leaf clover shaped : Card Games ( 10 puzzles)
  • Beaker shaped : Chemistry words ( 8 puzzles)
  • Speaker shaped : ( Christmas Artists and songs (10 puzzles)
  • Musical Instruments (10 puzzles)
  • Dog shaped : Breeds of Dogs ( 10 puzzles)
  • UK Mainland shaped : Prime Ministers ( 10 puzzles)
  • UK Parliament Constituencies (10 puzzles)
  • Shetland shaped : Shetland Place Names. (10 puzzles)
  • Castle shaped : Uk Castles (10 puzzles)
  • USA shaped : Us Presidents ( 10 puzzles)
word search

Shaped Crossword Puzzles

This book contains 40 shaped crossword puzzles.

  • Globe shaped Capital Cities crosswords
  • Apple shaped multiplication crosswords.
  • UK mainland shaped UK Prime Ministers crosswords
  • USA shaped US Presidents crosswords.
crosswords

SUDOKU PUZZLES

A total of eighty Sudoku puzzles.There are twenty each of puzzles to solve, two per page.Solutions provided.

  • Easy
  • Medium
  • Hard
  • Expert
sudoku

Word Sudoku Puzzles: Places

A collection of sudokus with a twist - instead of numbers, the names of the following places are used:

  • Bucharest
  • Edinburgh
  • Grytviken
  • Jamestown
  • Mogadishu
  • Singapore
word sudoku

Valentine Sudoku

Sudoku with a Valentine's twist.
Instead of numbers, the following words are used:

  • lovebirds
  • adoringly
  • embracing
  • teasingly
  • unclothed
  • rousingly
  • exploding
  • courtship
valetine word sudoku

Integer Puzzles

100 integer puzzles which require positive and negative addition and subtraction to solve.

integer puzzles

Dots and Boxes: La Pipopipette

Dots and Boxes - aka La Pipopipette or Pigs in a Pen - is a strategy game played with pencil and paper on a grid of dots . This book contains a total of 120 puzzle grids: 60 2x2 square grid puzzles ( 6 per page) and 20 each of 3x3, 4x4 and 5x5 square grid puzzles (2 per page)

Dots and Boxes: La Pipopipette

Tic-Tac-Toe: Noughts and Crosses

This handy little book of 110 pages contains 692 games of tic -tac -toe :

  • 10 pages of 2 normal 3 x3 grids ( 20 games)
  • 38 pages of 3 normal 3 x 3 grids ( 114 games)
  • 62 pages of 9 shaded normal 3 x 3 grids ( 558 games)

Play as normal , or take the challenge of winning across the whole of the 9X9 grids.

Tic-Tac-Toe: Noughts and Crossese


Calculus Revision

This series contains notes and examples for school level calculus ( SQA Higher, Advanced Higher , A and AS level )

kindle editions


Basic Differentiation

These notes are primarily designed for the SQA Higher Mathematics course.

  • Derivative of f(x) = axn
  • Sum Rule
  • Derivative of f(x) = (x + a )n
  • Derivative of f(x) =(ax + b )n
  • The Chain rule
  • Trig functions
  • Logarithms and Exponentials

Basic Integration

This book is a quick revision of basic integration, designed for the SQA Higher Mathematics course - with a little extra content at Advanced Higher Level

  • Integral Calculus
  • Basic Rules of Integration
  • Fundamental theorem of calculus
  • Trig functions
  • Logarithms and Exponentials
  • Integration by substitution
  • Common Forms
  • Areas on graphs
  • Newton’s equations of Motion
  • Areas under curves
  • Integration and the Area Function
  • Area between curve and the y-axis
  • Areas enclosed by the graph and the x – axis.
  • Area between two graphs

Differentiation by First Principles

These notes are primarily designed as a revision aid for differentiation by first principles.

  • Derivative of f(x) = g(x) + h(x)
  • Derivative of f(x) = axn
  • Derivative of f(x) = (x + a )n
  • Derivative of f(x) =(ax + b )n
  • The Chain Rule
  • Finding trigonometric derivatives by first principles
  • Derivative of f(x) = sinx
  • Derivative of f(x) = sinax
  • Derivative of f(x) = cosx
  • Derivative of f(x) = tanx
  • Product Rule
  • Quotient Rule

Quick Forty : Integration and Differential Equations

Here are a total of forty questions , complete with worked solutions.

Questions include:

  • Variables Separable
  • First order differential equations
  • Second order differential equations
  • Partial Fractions
  • Integration by Parts
  • Integration by substitution
40 calculus questions

Look Ups

 

The Look Ups series provides listings of data - useful for looking up to make questions or find answers.

kindle editions


Multiples, Factors and Primes

Ideal as a reference for setting questions or checking answers in a home schooling environment.

  • Listings of the first 100 multiples of the numbers from 0 to 50
  • Listings of prime numbers below 10,000
  • Listings of the factors of the numbers from 1 to 1200
multiples, factors and primes

Quadratic Factors: (x+1)(x+1) to (10x-10)(10x-10)

This book lists over 27,000 quadratics obtained from pairs of factors. These, in turn, can be used to find roots of equations, solve quadratic equations or be incorporated into polynomial questions. Ideal for checking solutions or as a reference for anyone making their own questions.

quadratic factors

Pythagorean Triples

This is a non-exhaustive list of over 9,000 Pythagorean Triples, sides of right-angled triangles which give whole number solutions to the equation a 2 + b2 = c2

Includes :

  • 3,4,5 Triangle
  • 5,12,13 Triangle
  • 7,24,25 Triangle
  • 8,15,17 Triangle
  • 9,40,41 Triangle
  • 11,60,61 Triangle
  • 12,35,37 Triangle
  • 13,84,85 Triangle
  • 15,112,113 Triangle
  • 20,21,29 Triangle
pythagorean triples

Deriving Trig Formulae

Ever wondered how common trig formulae came about ?

Includes :

  • Trig identity sin2 α +cos2 α = 1
  • Formulae for all four quadrants
  • The relationship between sine, cosine and tangent
  • Addition Formulae
  • Double Angle Formulae
  • Half-Angle Formulae
  • Multiple angles formulae
  • Products
  • Sums and Differences
deriving trig functions

Radians Revision

This book is designed as a digital flip card to help improve the skill of quickly and accurately converting degrees into radians and radians into degrees - as required for trigonometry .
Pick a page and convert – to get the answer, turn the page right if converting from degrees to radians, and turn left if converting radians to degrees.

radians