Tiêu đề iGCSE Toán lớp 10 Sách bài tập Quyển B.pdf ✅

Ấn bản thứ nhất Karen Morrison và Lucille Dunne Chương trình Cambridge IGCSE® Toán Nâng cao Sách bài tập B 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 5: Scale drawings, bearings and trigonometry 31 5.1 Scale drawings 31 5.2 Bearings 32 5.3 Understanding the tangent, cosine and sine ratios 33 5.4 Solving problems using trigonometry 37 5.5 Sines, cosines and tangents of angles more than 90° 37 5.6 The sine and cosine rules 38 5.7 Area of a triangle 40 5.8 Trigonometry in three dimensions 41 Chapter 6: Symmetry 44 6.1 Symmetry in two dimensions 44 6.2 Symmetry in three dimensions 45 6.3 Symmetry properties of circles 46 6.4 Angle relationships in circles 47 Chapter 7: Vectors and transformations 52 7.1 Simple plane transformations 52 7.2 Vectors 57 7.3 Further transformations 60 Chapter 8: Averages and measures of spread 64 8.1 Different types of average 64 8.2 Making comparisons using averages and ranges 65 8.3 Calculating averages and ranges for frequency data 66 8.4 Calculating averages and ranges for grouped continuous data 67 8.5 Percentiles and quartiles 68 8.6 Box-and-whisker plots 69 Chapter 1: Managing money 1 1.1 Earning money 1 1.2 Borrowing and investing money 2 1.3 Buying and selling 3 Chapter 2: Curved graphs 6 2.1 Drawing quadratic graphs (the parabola) 6 2.2 Drawing reciprocal graphs (the hyperbola) 8 2.3 Using graphs to solve quadratic equations 9 2.4 Using graphs to solve simultaneous linear and non-linear equations 10 2.5 Other non-linear graphs 10 2.6 Finding the gradient of a curve 12 2.7 Derived functions 13 Chapter 3: Ratio, rate and proportion 16 3.1 Working with ratio 16 3.2 Ratio and scale 17 3.3 Rates 18 3.4 Kinematic graphs 18 3.5 Proportion 21 3.6 Direct and inverse proportion in algebraic terms 22 3.7 Increasing and decreasing amounts by a given ratio 23 Chapter 4: More equations, formulae and functions 26 4.1 Setting up equations to solve problems 26 4.2 Using and transforming formulae 27 4.3 Functions and function notation 28 For VSC's internal use only