(a) Solve : \(7(x + 4) - \frac{2}{3}(x - 6) \leq 2[x - 3(x + 5)]\) (b) A transport company has a total of 20 vehicles made up of tricycle and taxicabs. Each...

Scores 1 2 3 4 5 6 Frequency 25 30 x 28 40 32 The table shows the outcome when a die is thrown a number of times. If the probability of obtaining a 3 is 0.22...

(a) Using the method of completing the square, solve, correct to 2 decimal places, \(\frac{x - 2}{4} = \frac{x + 2}{2x}\). (b) In the diagram, PQRST is a cir...

(a) In the diagram, < RTS = 28°, < VRM = 46°, MQ is a tangent to the circle VRSTU at the point R. Find < VUS. (b) A cylinder tin, 7cm high, is closed at one ...

(a) In the diagram, < KLM = x, < LMK = y, < KJH = r and < KGF = 110°. If 2x = r = y, find the value of x. (b) Ten boys and twelve girls collected donations f...

(a) In the diagram, PQST is a parallelogram, PR is a straight line, |TS| = 8cm, |SM| = 6cm and area of triangle PSR = \(36 cm^{2}\). Find the value of |QR|. ...

The weight (in kg) of 50 contestants at a competition is as follows: 65 66 67 66 64 66 65 63 65 68 64 62 66 64 67 65 64 66 65 67 65 67 66 64 65 64 66 65 64 6...

(a) Find the sum of the Arithmetic Progression (AP) 1, 3, 5,..., 101. (b) Out of the 95 travellers interviewed, 7 travelled by bus and train only, 3 by train...

(a) Without using Mathematical tables or calculators, evaluate \(\frac{0.09 \times 1.21}{3.3 \times 0.00025}\), leaving the answer in standard form (Scientif...