Cambridge International Mathematics

Mensuration (solids and containers) (Chapter 11) 249 5 Laura buys a 1 kg packet of flour. Her rectangular canister is 12 cm by 1 ...

250 Mensuration (solids and containers) (Chapter 11) Example 15 Self Tutor A concrete tank has an external diameter of 10 m and ...

r h 10 cm 12 cm 8cm semi-circular b 2 a^2 x x xm xm 2 xm q° Mensuration (solids and containers) (Chapter 11) 251 5 For the given ...

252 Mensuration (solids and containers) (Chapter 11) 9 A cylindrical container with radius 12 cm is partly filled with water. Tw ...

Mensuration (solids and containers) (Chapter 11) 253 Review set 11A #endboxedheading 1 Convert: a 2600 mm^3 to cm^3 b 8 000 000c ...

254 Mensuration (solids and containers) (Chapter 11) Review set 11B #endboxedheading 1 Convert: a 350 mg to g b 250 kg to t c 16 ...

Coordinate geometry 12 Contents: A Plotting points [7.1] B Distance between two points [7.1, 7.2] C Midpoint of a line segment [ ...

256 Coordinate geometry (Chapter 12) The initial approaches used by these mathematicians were quite opposite. Descartes began wi ...

Coordinate geometry (Chapter 12) 257 QUADRANTS Thexandy-axes divide the Cartesian plane into four regions referred to asquadrant ...

258 Coordinate geometry (Chapter 12) 2 On the same set of axes plot the following points: a P(2,1) b Q(2,¡3) c R(¡ 3 ,¡1) d S(¡ ...

Coordinate geometry (Chapter 12) 259 EXERCISE 12B.1 1 a A and B b A and D c C and A d F and C e G and F f C and G g E and C h E ...

260 Coordinate geometry (Chapter 12) Example 5 Self Tutor Consider the points A(¡ 2 ,0),B(2,1)and C(1,¡3). Determine if the tria ...

Coordinate geometry (Chapter 12) 261 EXERCISE 12B.2 1 Find the distance between the following pairs of points: a A(3,1)and B(5,3 ...

262 Coordinate geometry (Chapter 12) Example 8 Self Tutor Find the coordinates of the midpoint of AB for A(¡ 1 ,3)and B(4,7). x- ...

Coordinate geometry (Chapter 12) 263 2 Find the coordinates of the midpoint of the line segment joining the pairs of points: a ( ...

264 Coordinate geometry (Chapter 12) Thegradientof a line may be found by using: vertical step horizontal step or y-step x-step ...

Coordinate geometry (Chapter 12) 265 THE GRADIENT FORMULA If A is(x 1 ,y 1 )and B is(x 2 ,y 2 )then thegradientof AB is y 2 ¡y 1 ...

266 Coordinate geometry (Chapter 12) 3 Find the gradient of the line segment joining the following pairs of points: a (2,3) and ...

Coordinate geometry (Chapter 12) 267 3 The graph alongside indicates the wages paid to security guards. a What does the intercep ...

268 Coordinate geometry (Chapter 12) PERPENDICULAR LINES Notice thatline 1andline 2are perpendicular. Line 1has gradient^31 =3: ...