Cambridge IGCSE Maths Core Extended Study Revision Guide 3rd edition (John Jeskins, Powell) (Z-Library)

It is illegal to photocopy this page 194 Cambridge IGCSE Mathematics Core and Extended Study and Revision Guide Index mode 147–8 money problems 26–7 multiples 1 multiplication fractions 13 indices 23–4 vectors 129 mutually exclusive outcomes 138 N natural numbers 1 negative numbers 3 nets of solids 91 O ordering fractions, percentages and decimals 9–10 ordering quantities 9 order of operations 10–11 order of rotational symmetry 101 P parabolas 64 parallel lines 87, 90 angles with 106 parallelograms 91 construction of 94 percentage increases or decreases 16–18 percentages 12 of an amount 16 one quantity as percentage of another 16 ordering 10 percentiles 164 perimeter 114 perpendicular lines 88, 90 pictograms 152–3 pie charts 154, 155 point, angles at 105 polygons 91 angles of 107 population density 21–2 position-to-term rules 55 position vectors 130–1 powers 3–4 see also indices prime factors 1–2 prime numbers 1–2 prisms 117, 119 probability 138–41 combining probabilities 142, 145 conditional 143 from Venn diagrams 143–4 proportion 19–21, 58–9 pyramids 118 Q quadratic equations 45–6 graphical solution 65–6 quadratic formula 46 quadratic graphs 64–5, 69 quadratics, factorising 36–7 quadratic sequences 55–6 quadrilaterals 91 quartiles 164–7 questionnaires 156–7 R range 147–8 rates 21–2 rates of change 60, 62 rational numbers 4 ratios 19–20 increasing and decreasing by 21 real-life graphs 60–2 real numbers 4 rearranging formulae 35, 37–8 reciprocal graphs 66, 67–8 reciprocals 5 reflection 134 relative frequency 139 roots 3–4 rotation 134 rotational symmetry 101–2 rounding 6 S scale drawings 94 scale factors 97, 134 scatter diagrams 158–9 second derivative 74–5 sectors of a circle 90 area 115–16 segments of a circle 90 sequences 54–7 set notation 30–2 similar shapes 96 areas and volumes 97 simple interest 26 simultaneous equations 44, 46–7 graphical solution 65, 84–5 sine 122–3 sine rule 126 speed 21–2 spheres 118 squares and square roots 3 standard index form 24 stationary points 76–8 stem-and-leaf diagrams 153 straight line angles on 105 equation of 86–7 midpoint and length of a line segment 86 straight-line graphs drawing 83–4 gradient and y-intercept 85 solving simultaneous equations 84–5 subsets 31 substitution 34–5 subtraction fractions 12–13 vectors 129 surface area 117, 119 surveys 156–7 symmetry 101–2 T tally charts 152, 155 tangent (trigonometric ratio) 122–3 tangent properties of circles 103 tangent to a curve, equation of 75–6 term-to-term rules 54 time 29 transformations 134–5 combinations of 135–6 translation 134 tree diagrams 142–3, 145 triangles 90 angles of 105 congruent 98–100 construction of 93–4 trigonometry 122–3 sine and cosine rules 126 turning points 76–8 U union of sets 31 units 112–13 universal set 30 upper bounds 7–8 V vectors 129–32 Venn diagrams 30–2 probabilities 143–4 vertically opposite angles 105 volume of a prism 117, 119 of pyramids, cones and spheres 118 volume units 112–13 Y y-intercept 85 9781510421714.indb 194 11/07/19 2:34 PM