## F1 contents

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
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
(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
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
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
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