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year 8 maths

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iv

3

Puzzles and challenges 111

Review: Chapter summary 112

Multiple-choice questions 113

Short-answer questions 114

Extended-response questions 115

Measurement and Pythagoras’ theorem 116

Pre-test 118

3A Length and perimeter REVISION 119

3B Circumference of circles REVISION 125

3C Area REVISION 130

3D Area of special quadrilaterals 136

3E Area of circles 140

3F Area of sectors and composite figures 145

3G Surface area of prisms EXTENSION 150

3H Volume and capacity 154

3I Volume of prisms and cylinders 159

3J Time REVISION 164

3K Introducing Pythagoras’ theorem 172

3L Using Pythagoras’ theorem 177

3M Calculating the length of a shorter side 181

Investigation 186

Puzzles and challenges 188

Review: Chapter summary 189

Multiple-choice questions 190

Short-answer questions 191

Extended-response questions 193

Measurement and Geometry

Length

Area

Volume

Time

Right-angled triangles

(Pythagoras)

MA4–12MG, MA4–13MG,

MA4–14MG, MA4–15MG,

MA4–16MG

4 Fractions, decimals, percentages and financial mathematics 194 Number and Algebra

Pre-test 196

4A Equivalent fractions REVISION 197

4B Computation with fractions REVISION 203

4C Decimal place value and fraction/decimal conversions REVISION 211

4D Computation with decimals REVISION 217

4E Terminating decimals, recurring decimals and rounding REVISION 223

4F Converting fractions, decimals and percentages REVISION 229

4G Finding a percentage and expressing as a percentage 236

4H Decreasing and increasing by a percentage 242

4I The Goods and Services Tax (GST) 248

4J Calculating percentage change, profit and loss 253

4K Solving percentage problems with the unitary method

and equations 258

Investigation 262

Fractions, decimals and percentages

Financial mathematics

MA4–5NA, MA4–6NA

Cambridge Maths NSW

Stage 4 Year 8 Second edition

ISBN 978-1-108-46627-1 © Palmer et al. 2018

Cambridge University Press

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