Form 2 Mathematics
A rectangular water tank measures 2.4 m long, 2 m wide and 1.5 m high. The tank contains some water up to a height of 0.45 m.
(a) Calculate the amount of water, in litres, needed to fill up the tank (b) An inlet pipe was opened and water let to flow into the tank at a rate of 10 litres per minute.After one hour, a drain pipe was opened and water allowed to flow out of the tank at a rate of 4 litres per minute. Calculate: (i) the height of water in the tank after 3 hours; (ii) the total time taken to fill up the tank. Form 2 Mathematics
A bus plies between two towns P and R via town Q daily. On each day it departs from P at 8.15 a.m. and stops for 40 minutes at Q before proceeding to R.
On a certain day, the bus took 5 hours 40 minutes to travel from P to Q and 3 hours 15 minutes to travel from Q to R. Find, in 24 hour clock system, the time the bus arrived at R. Form 2 Mathematics
Juma left his home at 8.30a.m. He drove a distance of l40km and arrived at his aunt’s home at 10.15 a.m.
Determine the average speed, in km/h, for Juma’s journey. Form 1 Mathematics
A water vendor has a tank of capacity 18 900 litres. The tank is being filled with water from two pipes A and B which are closed immediately when the tank is full. Water flows at the rate of 150 000cm3/minute through pipe A and 120 000 cm3/ minute through pipe B.
(a) If the tank is empty and the two pipes are opened at the same time, calculate the time it takes to fill the tank (b) On a certain day the vendor opened the two pipes A and B to fill the empty tank. After 25 minutes he opened the outlet tap to supply water to his customers at an average rate of 20 litres per minute. (i) Calculate the time it took to fill the tank on that day. (ii) The vendor supplied a total of 542 jerricans, each containing 25 litres of water, on that day. If the water that remained in the tank was 6300 litres, calculate, in litres, the amount of water that was wasted. Form 2 Mathematics
A man who can swim at 5km/h in still water swims towards the east to cross a river. If the river flows from north to south at the rate of 3km/h
a) Calculate: i) The resultant speed ii) The drift b) If the width of the river is 30m, find the time taken, in seconds, for the man to cross the river. Form 1 Mathematics
A watch which loses a halfminute every hour was set to read the correct time at 05 45 h on Monday. Determine the time in the 12 hour system, the watch will show on the following Friday at 19 45h

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