# Maths Revision & Practice Book 3 (Year 9)

**SKU**

*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.

This Book 3 is for Year 9.**Book 3 Contents****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

Year Level | Year 9 |
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ISBN | 9781875695461 |

Subject | Maths |