Mathematics Revision and Practice
Books 1,2,3,4
by Ian Bull
Mathematics Revision and Practice is a series of books, each one of which provides a revision and homework program covering a full year's work. Each set of skills is clearly explained with diagrams and examples and is accompanied by a page of practice exercises.
Forty revision worksheets - one for each week of the school year - test all topics and ensure that by the end of the year all work has been revised and understood.
Answers are provided to the practice exercises and revision worksheets.
Book 1 Yr 7, Book 2 Yr 8, Book 3 Yr 9 and Book 4 Yr 10
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Book 1 Contents Book 2 Contents
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About this book Topic 1: Whole Number Definitions Skill 1.1: Place value Skill 1.2: Addition of whole numbers Skill 1.3: Subtraction of whole numbers Skill 1.4: Multiplication of whole numbers Skill 1.5: Division of whole numbers Skill 1.6: Order of operations Skill 1.7: Divisibility of numbers (by 2, 3, 5, 6,9 and 10) Whole number practice Topic 2: Number Patterns Definitions Skill 2.1: Factors of whole numbers Skill 2.2: Prime numbers Skill 2.3: Composite numbers Skill 2.4: Prime factors Skill 2.5: Multiples Skill 2.6: Square and cube numbers Skill 2.7: Square roots and cube roots Skill 2.8: Scientific notation Number pattern practice Topic 3: Fractions and Percentages Definitions Skill 3.1: Mixed numbers and improper fractions Skill 3.2: Fraction multiplication and division Skill 3.3: Equivalent fractions and cancelling Skill 3.4: Adding/subtracting fractions with equal denominators Skill 3.5: Adding/subtracting fractions with unequal denominators Skill 3.6: Comparing the sizes of fractions Skill 3.7: Finding fractions of quantities Skill 3.8: Making percentages into fractions 2 Skill 3.9: Making fractions into percentages 2 Skill 3.10: Expressing fractions of quantities as percentages 2 Skill 3.11: Finding percentages of quantities 2 Fractions and percentages practice 2 Topic 4: Decimal Numbers Definitions Skill 4.1: Place value Skill 4.2: Comparing the size of decimals Skill 4.3: Addition/subtraction of decimals Skill 4.4: Multiplication of decimals Skill 4.5: Division of decimals Skill 4.6: Converting decimals into fractions Skill 4.7: Converting fractions into decimals Decimal number practice Topic 5: Algebra Definitions Skill 5.1: Identifying like terms Skill 5.2: Addition and subtraction of pronumerals Skill 5.3: Multiplication of pronumerals Skill 5.4: Division of pronumerals Skill 5.5: Substitution Skill 5.6: Expansion of brackets Skill 5.7: Basic indices Skill 5.8: Indices and expansion of brackets Skill 5.9: Making equations: number sentences Skill 5.10: Solving simple equations Algebra practice Topic 6: Measurement Definitions Skill 6.1: Units of measurement Skill 6.2: Conversion of length units Skill 6.3: Comparing lengths Skill 6.4: Perimeter of shapes with straight sides Skill 6.5: Area of shapes with straight sides Skill 6.6: Perimeter and area of circles Skill 6.7: Volume of solids with straight sides: Skill 6.8: Conversion of mass, capacity and time units Skill 6.9: Working with time Measurement practice Topic 7: The Number Plane Definitions Skill 7.1: Grid construction Skill 7.2: Locating a point on a grid Skill 7.3: Finding co-ordinates from equations Skill 7.4: Plotting straight lines Number plane practice Topic 8: Geometry Definitions Skill 8.1: Using a compass to make circles Skill 8.2: Measuring angles with a protractor Skill 8.3: Angle types and facts Skill 8.4: Triangles Skill 8.5: Angle sums of polygon Skill 8.6: Quadrilaterals Skill 8.7: Tesselations Geometry practice Topic 9: Chance and Data Definitions Skill 9.1: Finding statistical values Skill 9.2: Constructing a tally table Skill 9.3: Constructing pictographs Skill 9.4: Constructing bar graphs Skill 9.5: Constructing pie graphs Skill 9.6: Reading values from line graphs Skill 9.7: Simple probability Skill 9.8: Displaying information using sets Chance and data practice Topic 10 : Calculators Definitions Skill 10.1: Estimating answers Skill 10.2: Simple calculations Skill 10.3: Use of the memory function Skill 10.4: Rounding off Skill 10.5 Squaring numbers Skill 10.6: Making fractions into decimals Calculator practice Revision and practice worksheets Answers to practice pages 1 Answers to worksheets 1
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About this book Overview and record sheet Topic 1: Arithmetic skills Definitions Skill 1.1: Adding whole numbers Skill 1.2: Subtracting whole numbers Skill 1.3: Multiplying whole numbers Skill 1.4: Dividing whole numbers Skill 1.5: Mixed numbers and improper fractions Skill 1.6: Multiplying and dividing fractions Skill 1.7: Equivalent fractions and cancelling Skill 1.8: Adding and subtracting fractions with unequal denominators Skill 1.9: Working with mixed numbers Skill 1.10: Adding and subtracting decimals Skill 1.11: Multiplying decimals. Skill 1.12: Dividing decimals Skill 1.13: Order of operations Arithmetic skills practice Topic 2: Directed Numbers Definitions Skill 2.1: Adding and subtracting directed numbers Skill 2.2: Double signs Skill 2.3: Multiplying and dividing directed numbers Skill 2.4: Order of operations Directed number practice Topic 3: Algebra & Equations Definitions Skill 3.1: Adding and subtracting like terms Skill 3.2: Multiplying algebraic terms Skill 3.3: Dividing algebraic terms Skill 3.4 Substitution Skill 3..5 Expansion of brackets Skill 3.6: Factorising algebraic expressions Skill 3.7: Solving equations by removing one number Skill 3.8: Solving equations by removing two numbers Skill 3.9: Solving equations with brackets Skill 3.10: Solving equations with pronumerals both sides Skill 3.11: Solving equations by removing more than two numbers Algebra and equations practice Topic 4: Indices Definitions Skill 4.1: Index notation Skill 4.2: Multiplying index expressions Skill 4.3: Dividing index expressions Skill 4.4: Simplifying indices for multiplication and division Skill 4.5: Expanding brackets with indices Skill 4.6: Zero index Indices practice Topic 5: Working with numbers Definitions Skill 5.1: Sharing quantities in a given ratio Skill 5.2: Using ratios within a population Skill 5.3: Using ratios in scale diagrams Skill 5.4: Comparing the sizes of fractions Skill 5.5: Finding fractions of quantities Skill 5.6: Comparing the size of decimals Skill 5.7: Converting decimals into fractions Skill 5.8: Converting fractions into decimals Skill 5.9: Making percentages into fractions Skill 5.10: Making fractions into percentages Skill 5.11: Expressing fractions of quantities as percentages Skill 5.12: Finding percentages of quantities Skill 5.13: Scientific notation Skill 5.14: Mental calculations Skill 5.15: Estimation Working with numbers practice Topic 6: The Cartesian Plane Definitions Skill 6.1: Grid Construction Skill 6.2: Locating: a point on the Cartesian plane Skill 6.3: Finding co-ordinates from equations. Skill 6.4: Plotting straight lines Skill 6.5: Finding the gradient of a line Skill 6.6: Horizontal and vertical lines Cartesian plane practice Topic 7: Geometry Definitions ~ Skill 7.1: Complementary, supplementary and vertically opposite angles Skill 7.2: Working with angles between parallel lines Skill 7.3 Angles in triangles Skill 7.4: Angles in quadrilaterals Skill 7.5: Making nets of solids Skill 7.6: Moving shapes: rotation, reflection and translation Skill 7 .7: Geometric Constructions Geometry practice Topic 8: Chance and Data Definitions Skill 8.1: Tally tables Skill 8.2: Pictographs Skill 8.3: Bar graphs Skill 8.4: Dot plots Skill 8.5: Pie charts Skill 8.6: Line graphs Skill 8.7: Stem and leaf plots Skill 8.8: Measures of central tendency Skill 8.9: Measures of spread Skill 8.10: Working with continuous data Skill 8.11: Probability of single events Skill 8.12: Displaying sample spaces Skill 8.13: Probability of multiple events Chance and data practice Topic 9: Measurement Definitions Skill 9.1: Converting length units Skill 9.2: Comparing lengths Skill 9.4: Area of shapes with straight sides Skill 9.3: Perimeter of shapes with straight sides Skill 9.5: Perimeter and area of circles Skill 9.6: Composite areas Skill 9.7: Surface area of solids Skill 9.8: Volume of solids with straight sides Skill 9.9: Conversion of mass, capacity and time units Skill 9.10: Working with time Measurement practice Topic 10: Calculators Definitions Skill 10.1: Estimating answers Skill 10.2: Simple calculations Skill 10.3: Fractions Skill 10.4: Directed numbers Skill 10.5: Use of the memory function Skill 10.6: Rounding off answers Skill 10.7: Squaring numbers Skill 10.8: Finding the square root of a number Skill 10.9: Making fractions into decimals Skill 10.10: Percentages Calculator practice Revision & Practice Worksheets Answers to practice sheets Answers to Worksheets |
Book 3 Contents Book 4 Contents
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Topic 1: Arithmetic skills Skill 1.1: Equivalent fractions and cancelling Skill 1.2: Multiplying and dividing fractions Skill 1.3: Adding and subtracting fractions with unequal denominators Skill 1.4: Working with mixed numbers Skill 1.5: Converting decimals into fractions Skill 1.6: Converting fractions into decimals Skill 1.7: Adding and subtracting decimals Skill 1.8: Multiplying decimals Skill 1.9: Dividing decimals Skill 1.10: Adding and subtracting directed numbers Skill 1.11: Double signs Skill 1.12: Multiplying and dividing directed numbers Skill 1.13: Order of operations Arithmetic practice Topic 2: Algebra and equations : Skill 2.1: Adding and subtracting like terms Skill 2.2: Multiplying algebraic terms Skill 2.3: Dividing algebraic terms Skill 2.4: Expansion of brackets Skill 2.5: Factorising algebraic expressions Skill 2.6: Solving equations by removing one number Skill 2.7: Solving equations by removing two numbers Skill 2.8: Solving equations with brackets Skill 2.9: Solving equations with pronumerals on both sides Skill 2.10: Solving equations by removing more than two numbers Skill 2.11: Simultaneous equations Skill 2.12: Solving quadratic equations Skill 2.13: Evaluating formulas Skill 2.14: Transposing equations Algebra practice Topic 3: Indices : Skill 3.1: Multiplying index expressions Skill 3.2: Dividing index expressions Skill 3.3: Simplifying fraction expressions Skill 3.4: Expanding brackets with indices Skill 3.5: Zero index Skill 3.6: Prime factors Skill 3.7: Negative indices Skill 3.8: Fractional indices Skill 3.9: Evaluating integer powers Indices practice Topic 4: Number applications Skill 4.1: Sharing quantities in a given ratio Skill 4.2: Using ratios within a population Skill 4.3: Ratios and scale diagrams Skil14.4: Finding fractions of quantities Skil14.5: Converting percentages into fractions Skill 4.6: Converting fractions into percentages Skill 4.7: Expressing fractions of quantities as percentages Skill 4.8: Finding percentages of quantities Skill 4.9 Scientific notation Skill 4.10: Mental calculations Skill 4.11 Estimation Number applications practice Topic 5: The Cartesian plane Skill 5.1: Locating a point on the graph Skill 5.2: Finding coordinates from linear equations Skill 5.3: Plotting straight lines Skill 5.4: Sketching straight lines Skill 5.5: Finding the gradient of a line Skill 5.6: The general equation of a straight line Skill 5.7: Simultaneous equations Skill 5.8: Finding coordinates from quadratic equations Skill 5.9: Plotting parabolas Skill 5.10 Shifting parabolas Cartesian plane practice Topic 6: Measurement Skill 6.1: Converting units Skill 6.2: Perimeter of shapes with straight sides Skill 6.3: Pythagoras' theorem Skill 6.4 Similar triangles Skill 6.5 Area of shapes with straight sides Skill 6.6 Circumference and area of circles Skill 6.7 Composite areas Skill 6.8 Surface area of solids Skill 6.9 Volume of solids with straight sides Skill 6.10 Working with time Measurement practice Topic 7: Geometry Skill 7 .1: Complementary, supplementary and vertically opposite angles Skill 7.2: Angles between parallel lines Skill 7.3: Angles in triangles Skill 7.4: Angles in quadrilaterals Skill 7.5: Drawing accurate nets of solids Skill 7.6: Moving shapes: rotation, reflection and translation Skill7.7: Tessellations Skil17.8: Drawing diagrams of solids Skill 7.9: Network diagrams Geometry practice Topic 8: Trigonometry Skill 8.1: The sides in a right-angled triangle Skill 8.2: Sine, cosine and tangent Skill 8.3: Using sin to find side lengths Skill 8.4: Using cos to find side lengths Skill 8.5: Using tan to find side lengths Skill 8.6: Using sin to find an angle Skill 8.7: Using cos to find an angle Skill 8.8: Using tan to find an angle Skill 8.9: Solving practical problems Trigonometry practice Topic 9: Chance and data Skill 9.1: Bar graphs and frequency polygons Skill 9.2: Pie graphs Skill 9.3: Stem and leaf plots Skill 9.4: Measures of central tendency Skill 9.5: Measures of spread: range and standard deviation Skill 9.6: Interquartile range Skill 9.7: Displaying continuous data Skill 9.8: Working with continuous data Skill 9.9: Probability of single and complementary events Skill 9.10: Displaying sample spaces Skill 9.11: Probability of multiple events Skill 9.12: Probability and gambling odds Chance and data practice Topic 10: Using calculators Skill 10.1 Rounding off numbers and estimation solutions Skill 10.2: Simple calculations Skill 10.3: Fractions Skill 10.4: Directed numbers Skill10.5 Using the memory function Skill 10.6: Finding the square and square root Skill 10.7: Making fractions into decimals Skill 10.8: Finding percentages of quantities Skill 10.9: Reciprocals Skill 10.10: Trigonometric functions Skill 10.11: Raising a number to a power Calculator practice Revision and practice worksheets Answers to practice sheets Answers to revision and practice worksheets
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About this book Overview and record sheet Topic 1: Number skills Skill 1.1: Converting between decimals and fractions Skil11.2: Converting between fractions and percentages Skil11.3: Converting between decimals and percentages Skill 1.4: Comparing parts of quantities Skill 1.5: Mental calculation Skill 1.6: Scientific notation Skill 1.7: Working with surds Number skills practice Topic 2: Number applications Skill 2.1: Sharing quantities in a given ratio Skill 2.2: Using ratios within a population Skill 2.3: Ratios and scale diagrams Skill 2.4: Increasing or decreasing quantities in a ratio Skill 2.5: Finding fractions of quantities Skill 2.6: Expressing fractions of quantities as percentages Skill 2.7: Finding percentages of quantities Skill 2.8: Percentage increase or decrease Skill 2.9: Rates Skill 2.10 Converting rate units Number applications practice Topic 3: Algebra Skill 3.1: Simplifying algebraic expressions Skill 3.2: Expanding brackets Skill 3.3 Algebraic fractions Skill 3.4: Factorising algebraic expressions Skill 3.5: Solving simple linear equations Skill 3.6: Solving complex linear equations Skill 3.7 Solving linear inequations Skill 3.8: Working with literal equations Skill 3.9: Simultaneous equations Skill 3.10: Solving simple quadratic equations Skill 3.11: Solving complex quadratic equations Skill 3.12: Using the guess/check/improve method to solve equations Skill 3.13: Constructing practical equations Skill 3.14: Variation Algebra practice Topic 4: Indices Skill 4.1 Numbers and indices Skill 4.2: Multiplying index expressions Skill 4.3: Dividing index expressions Skill 4.4: Multiplying and dividing terms containing indices Skill 4.5: Expanding brackets with indices Skill 4.6: Negative indices Skill 4.7: Fractional indices Skill 4.8: Solving indicial equations Skill 4.9: Working with numbers expressed in scientific notation Indices practice Topic 5: The Cartesian plane E Skill 5.1: Finding the gradient of a line passing between two points Skill 5.2: Finding the distance between two points Skill 5.3: Sketching straight lines Skill 5.4: Finding the equation of a straight line Skill 5.5: Simultaneous equations Skill 5.6: Graphing inequations Skill 5.7: Plotting quadratic equations Skill 5.8 Shifting parabolas Skill 5.9: Sketching parabolas Skill 5.10: Plotting cubic equations Cartesian plane practice Topic 6: Geometry . Skill 6.1: Angles between parallel lines Skill 6.2: Angles in triangles and quadrilaterals Skill 6.3: Properties of circles Skill 6.4: Symmetrical properties of plane shapes Skill 6.5: Changing shapes: enlargement and dilation Skill 6.6: Describing properties of solids Skill 6.7: Drawing diagrams of solids Skill 6.8: Network diagrams Skill 6.9: Triangle constructions Geometry practice Topic 7: Measurement Skill 7.1: Pythagoras' theorem in two dimensions Skill 7.2: Perimeter Skill 7.3 Similar and congruent triangles Skill 7.4: Area of simple shapes Skill 7.5: Composite areas Skill 7.6: Drawing accurate nets of solids Skill 7.7: Surface area of solids Skill 7.8: Volume of solids Skill 7.9: Working with solids (Pythagoras' theorem in 3 dimensions) Skill 7.10: Errors and uncertainty in measurement Measurement practice Topic 8: Trigonometry : Skill 8.1: Using sin to find side lengths Skill 8.2: Using cos to find side lengths Skill 8.3: Using tan to find side lengths Skill 8.4: Using sin to find an angle Skill 8.5: Using cos to find an angle Skill 8.6: Using tan to find an angle Skill 8.7: Composite figures Skill 8.8: Practical applications in two dimensions Skill 8.9: Practical applications in three dimensions Trigonometry practice Topic 9: Chance and data : Skill 9.1: Stem and leaf plots Skill 9.2: Measures of central tendency Skill 9.3: Measures of spread Skill 9.4: Interquartile range and box and whisker plots Skill 9.5: Displaying continuous data Skill 9.6: Working with continuous data Skill 9.7: Scatter plots and the lines of best fit Skill 9.8: Probability of single and complementary events Skill 9.9: Displaying sample spaces Skill 9.10: Probability of multiple independent events Skill 9.11: Probability of multiple dependent events Skill 9.12: Probability and gambling odds Skill 9.13: Simulating experiments Chance and data practice Topic 10: Using calculators Skill 10.1: Rounding off numbers and estimating solutions Skill 10.2: Simple calculations Skill 10.3: Repeating to operation on a range of numbers Skill 10.4: Fractions Skill 10.5: Using the memory function Skill 10.6: Scientific notation Skill 10.7: Reciprocals Skill 10.8: Trigonometric functions Skill 10.9: Raising a number to a power Skill 10.10 Finding the root of a number Skill 10.11 Using the statistical functions Calculator practice Revision and Practice worksheets Answers to practice sheets Answers to worksheets
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