MATHEMATICS

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12 Vectors 19 Kinematics Running head Contents verso 12.1 Vectors 12.2 Equal vectors 12.3 Vector geometry 13 Exponentials and logarithms 13.1 Exponential functions 13.2 Logarithms 13.3 The exponential function 13.4 The natural logarithm function 13.5 Modelling curves 14 Data collection 14.1 Using statistics to solve problems 14.2 Sampling 15 Data processing, presentation and interpretation 15.1 Presenting different types of data 15.2 Ranked data 15.3 Discrete numerical data 15.4 Continuous numerical data 15.5 Bivariate data 15.6 Standard deviation 16 Probability 16.1 Working with probability 17 The binomial distribution 17.1 Introduction to binomial distribution 17.2 Using the binomial distribution 19.1 The language of motion 19.2 Speed and velocity 19.3 Acceleration 19.4 Using areas to find distances and displacement 19.5 The constant acceleration formulae 19.6 Further examples 20 Forces and Newton’s laws of motion 20.1 Force diagrams 20.2 Force and motion 20.3 Types of forces 20.4 Pulleys 20.5 Applying Newton’s second law along a line 20.6 Newton’s second law applied to connected objects 21 Variable acceleration 21.1 Using differentiation 21.2 Finding displacement from velocity 21.3 The constant acceleration formulae revisited Statistics dataset Answers Index 18 Statistical hypothesis testing using the binomial distribution 18.1 The principles and language of hypothesis testing 18.2 Extending the language of hypothesis testing 2
5 Coordinate geometry A place for everything, and everything in its place Samuel Smiles (1812–1904) The diagram shows some scaffolding in which some of the horizontal pieces are 2 m long and others are 1 m. All the vertical pieces are 2 m. Q ➜ ➜ ➜ An ant crawls along the scaffolding from point P to point Q, travelling either horizontally or vertically. How far does the ant crawl? A mouse also goes from point P to point Q, travelling along horizontal or sloping pieces. How far does the mouse travel? A bee flies directly from point P to point Q. How far does the bee fly? P Figure 5.1 3
Page 1 and 2: SAMPLE CHAPTER Sophie Goldie Val Ha
Page 3: Contents Getting the most from this
Page 7 and 8: Discussion point ➜ Does it matter
Page 9 and 10: Example 5.3 The points P(2, 7), Q(3
Page 11 and 12: PS PS PS 10 A quadrilateral has ver
Page 13 and 14: y (x, y) 5 O Figure 5.11 (x 1 , y 1
Page 15 and 16: Example 5.6 The diameter of a snook
Page 17 and 18: PS PS PS 2 y = 2 x + 1 y = x + 1 3
Page 19 and 20: Prior knowledge Completing the squa
Page 21 and 22: Circle geometry There are some prop
Page 23 and 24: If OB is the diameter of the circle
Page 25 and 26: PS PS PS PS PS PS PS PS PS 4 Draw t
Page 27 and 28: Example 5.12 A circle has equation
Page 29 and 30: Exercise 5.5 PS PS 1 Show that the
Page 31 and 32: 6 The angle in a semicircle is a ri

MATHEMATICS

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