1. A transport company has a total of 20 vehicles made up of tricycles and taxicabs. Each tricycle carries 2 passengers while each taxicab carries 4 passengers. If the 20 vehicles
carry a total of 66 passengers at a time, how many tricycles does the company have?
2. Without using Mathematical tables or calculators, evaluate
0.09 x1.21

3.3 0.00025
leaving the answer in standard form.
3. When one end of a ladder, LM, is placed against a vertical wall at a point 5 metres
above the ground, the ladder makes an angle of 37° with the horizontal ground.
(a) Represent the information in a diagram
(b) Calculate, correct to 3 significant figures, the length of the ladder.
(c) If the foot of the ladder is pushed towards the wall by 2 metres, calculate, correct to
the nearest degree, the angle which the ladder now makes with the ground