Nội dung text iGCSE Toán lớp 9 Sách bài tập Quyển A.pdf
Ấn bản thứ nhất Karen Morrison và Lucille Dunne Chương trình Cambridge IGCSE® Toán Nâng cao Sách bài tập A For VSC's internal use only
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For VSC's internal use only
Cambridge IGCSE® Mathematics iii Contents Contents Introduction v Chapter 1: Reviewing number concepts 1 1.1 Different types of numbers 1 1.2 Multiples and factors 2 1.3 Prime numbers 2 1.4 Powers and roots 3 1.5 Working with directed numbers 4 1.6 Order of operations 4 1.7 Rounding numbers 5 Chapter 2: Making sense of algebra 7 2.1 Using letters to represent unknown values 7 2.2 Substitution 8 2.3 Simplifying expressions 8 2.4 Working with brackets 9 2.5 Indices 9 Chapter 3: Fractions and standard form 12 3.1 Equivalent fractions 12 3.2 Operations on fractions 12 3.3 Percentages 13 3.4 Standard form 15 3.5 Estimation 16 Chapter 4: Equations and rearranging formulae 18 4.1 Further expansions of brackets 18 4.2 Solving linear equations 18 4.3 Factorising algebraic expressions 19 4.4 Rearrangement of a formula 20 Chapter 5: Lines, angles and shapes 22 5.1 Lines and angles 22 5.2 Triangles 25 5.3 Quadrilaterals 26 5.4 Polygons 28 5.5 Circles 29 5.6 Construction 29 Chapter 6: Perimeter, area and volume 31 6.1 Perimeter and area in two dimensions 31 6.2 Three-dimensional objects 35 6.3 Surface areas and volumes of solids 36 Chapter 7: Collecting, organising and displaying data 40 7.1 Collecting and classifying data 40 7.2 Organising data 41 7.3 Using charts to display data 43 Chapter 8: Sequences and sets 47 8.1 Sequences 47 8.2 Rational and irrational numbers 48 8.3 Sets 49 Chapter 9: Straight lines and quadratic equations 52 9.1 Straight lines 52 9.2 Quadratic and other expressions 54 Chapter 10: Further solving of equations and inequalities 59 10.1 Simultaneous linear equations 59 10.2 Linear inequalities 61 10.3 Regions in a plane 62 10.4 Linear programming 63 10.5 Completing the square 64 10.6 Quadratic formula 65 10.7 Factorising quadratics where the coefficient of x2 is not 1 66 10.8 Algebraic fractions 66 Chapter 11: Pythagoras’ theorem and similar shapes 69 11.1 Pythagoras’ theorem 69 11.2 Understanding similar triangles 71 11.3 Understanding similar shapes 72 11.4 Understanding congruence 73 For VSC's internal use only