FM: indicates sections (up to level 6) that address functional mathematics
ISBN 978-0-521-68993-9 with answers; 978-0-521-69431-5 without answers
Book F1 contents Order from +44 (0)1223 325588 1 Reflection and rotation symmetry 10 6 Angles, triangles and quadrilaterals 42 A Reflection symmetry level 4 10 A Review: angles round a point, on a line, in a triangle 42 B Rotation symmetry 11 B Angles in an isosceles triangle 45 C Both types of symmetry 12 C Properties of special quadrilaterals 47 D Special triangles and quadrilaterals 13 7 Experiments 49 E Symmetrical and regular polygons 14 A Specifying the problem and planning 49 FM F Using coordinates 16 B Processing and representing 50 FM 2 Fractions 18 C Interpreting and discussing 52 FM A Fraction of a number 18 8 Multiples, factors and primes 53 B Equivalent fractions 18 A Multiples level 4 53 C Simplifying a fraction 19 B Factors level 4 54 D Mixed numbers 20 C Multiples and factors level 4 55 E Writing one number as a fraction of another 21 D Common multiples and factors 56 F Adding and subtracting fractions 22 E Prime numbers 58 G Multiplying a fraction by a whole number 23 F Products of prime factors 59 3 Reading scales 25 Review 1 61 A Whole numbers level 4 25 B Decimals level 4 26 9 Working with formulas 1 63 A Review: expressions 63 4 Arrow diagrams and equations 29 B Arranging tables and chairs 64 A Mathematical whispers level 4 29 C Designing pendants 67 B Using letters 31 C Solving equations 32 D Equations and arrow diagrams 70 D Number puzzles 34 10 Representing 3-D objects 73 5 Decimals 36 A The Soma cube 73 A One and two decimal places level 4 36
(idea of volume, drawing on triangular dotty paper)
B More than two decimal places 37 B Plan and elevations 74 FM C Rounding to the nearest whole number 38 D Rounding to one decimal place 39 D Prisms 78 E Rounding to more than one decimal place 40 E Reflection symmetry 79 F Multiplying and dividing by powers of ten 41 11 Written calculation 1 82 17 Working with expressions 1 119 A Adding and subtracting whole numbers and A Simplifying expressions such as 4 + 2n – 3 + n 119
decimals level 4 82 B Substituting into expressions such as 7 – 2n 121 B Multiplying whole numbers level 4 83 C Simplifying expressions such as 4 + 2n – 3 – 5n 122 C Multiplying decimals 84 Review 2 124 D Dividing whole numbers level 4 85 E Dividing decimals 86 18 Graphs of changes over time 126 F Mixed questions 87 A Noise level 126 FM 12 Frequency B Pulse rate 128 FM C Temperature 129 FM A Stem-and-leaf tables 89 FM B Median and range 91 FM 19 Chance 132 C Comparisons 92 FM A Probability as a fraction 132 D Grouping 94 FM B Listing outcomes 134 E Mean 97 FM C Using a grid 136 13 Fractions, decimals and percentages 100 20 Area of a triangle and of composite shapes A Fractions and percentages 100 B Decimals and percentages 101 A Area of a triangle 140 C Fractions and decimals 102 B Area of composite shapes 142 D Thirds 102 21 Working with percentages 145 E Converting between fractions, decimals and A Review: fractions, decimals and percentages 145
percentages 103 14 Area of a parallelogram 105 B Finding a percentage of an amount (mentally) 146 A Changing a parallelogram into a rectangle 105 C Finding a percentage of an amount (with a
calculator) 148 B Using the formula 106 D Expressing one number as a percentage of another 15 Negative numbers 109 A Temperature changes 109 FM E Expressing one number as a percentage of another B Adding negative numbers
(with a calculator) 150 C Subtracting a negative number F Mixed questions 151 FM D Multiplying a negative by a positive number 112 22 Representing data 153 16 Metric units 114 A Two-way tables 153 FM A Using metric units B Two-way tables with grouped data 155 FM B Converting between metric units C Pictograms and bar charts 156 FM D Dual bar charts 158 FM E Line graphs for time series 159 FM F Index numbers 161 FM 23 Ratio and proportion 164 29 Navigation 212 A Recipes 164 FM A Four-figure grid references and points of the
compass 212 FM B Comparing prices 166 FM B Scales and points of the compass 214 FM
(where one item is a multiple of the other)
C Review: angles level 4 216 FM C Unitary method 167 FM D Bearings 218 FM D Unit cost 168 FM 30 Rounding with significant figures 221 E Mixtures and ratio 170 FM A Rounding a whole number to one significant figure F Writing a ratio in its simplest form 173 FM 24 Cuboids 175 B Rounding a decimal to one significant figure 222 A Volume of a cuboid 175 C Multiplying decimals 223 B Cubic metres 179 FM D Rough estimates with decimals 225 C Surface area 180 FM E Rounding answers 226 D Volume of a solid made from cuboids 181 31 Solving equations 228 Review 3 184 A Balance puzzles 228 B Seeing a balance puzzle as an equation 230 25 Scatter diagrams and correlation 186 C Solving an equation using balancing 231 A Scatter diagrams 186 FM D Finding unknown lengths on strips 232 B Correlation 189 FM E Undoing a subtraction in an equation 233 C Line of best fit 191 F Decimal, negative and fractional solutions 234 26 Square and cube numbers 195 G Problem solving 234 A Squares and square roots 195 32 Written calculation 2 236 B Cubes and cube roots 197 A Multiplying by a two-digit number 236 C Squares, cubes and higher powers 198 B Dividing by a two-digit number 237 27 Surveys 200 C Mixed questions 238 FM A Starting a project 200 Review 4 240 B Designing a questionnaire 201 C Choosing a sample 203 33 Sequences 242 D Summarising results 204 A Continuing a sequence 242 E Writing a report 205 B Describing numbers in some sequences 244 C Sequences from patterns 245 28 Imperial measures 206 A Length 206 FM 34 Problem solving with a calculator 248 B Weight 208 FM A Which calculation? 248 FM C Liquid measure 209 FM B Showing working 250 FM D Mixed questions 210 FM C Changing money to a different currency 251 FM 35 Working with expressions 2 253 40 Multiplying and dividing fractions 287 A Substituting into expressions such as 2a – b 253 A Finding a fraction of a quantity: fractional results 1 B Simplifying expressions such as 3a + 2b + a + 5b B Finding a fraction of a quantity: fractional results 2 C Simplifying expressions such as 3a + 2b + a – 5b C Dividing a unit fraction by a whole number 289 D Dividing a fraction by a whole number 290 36 Calculating with negative numbers 256 E Multiplying fractions 291 A Adding and subtracting 256 B Multiplying 257 41 Working with formulas 2 293 C Dividing 259 A Formulas and graphs 293 FM D Negative square roots and cube roots 261 B Forming and using formulas 296 FM E Mixed questions 262 C Forming and using expressions and formulas 37 Brackets 264 Review 5 302 A Dividing an expression by a number 264 B Expressions with brackets 265 42 Travel 304 C Factorising an expression 266 A Calculating speed 304 FM D Factorising more complex expressions 267 B Distance–time graphs 306 FM E Adding an expression containing brackets 268 C Calculating distance and time 309 FM F Subtracting an expression containing brackets 268 43 Graphs from rules 312 38 Pie charts 270 A Patterns in coordinates 312 A Review: fractions, percentages and angles 270 FM B Drawing a straight-line graph 313 B Reading a pie chart: simple fractions and C Including negative coordinates 315
percentages 271 FM D Equations of horizontal and vertical lines 316 C Reading a pie chart: the unitary method 272 FM E Implicit equations 317 D Drawing a pie chart: angles 274 FM E Drawing a pie chart: percentages 44 Working with coordinates 320 F Handling real data A Shapes on a grid 320 B Mid-points 322 39 Working with expressions 3 280 C Reflection 323 A Substituting into linear expressions 280 D Rotation 324 B Squares and cubes 281 C Using more than one letter 45 Trial and improvement 328 D Area and simplifying A Searching for whole numbers 328 B Searching for decimals 329 C Searching for approximate values 330 46 Constructions 332 A Drawing a triangle using lengths 332 B Drawing a triangle using angles 334 C Drawing a triangle using two sides and
an angle 335 D Scale drawings 336 Review 6 337 Answers 338 Index 397

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