**KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed**

Comprehensive Answers and Marking Schemes KNEC Certified

Comprehensive Answers and Marking Schemes KNEC Certified

## Form 1 Mathematics
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## Form 2 Mathematics(a) Calculate the area of the curved surface of the tank, correct to 2 decimal places. (b) Find the capacity of the tank, in litres, correct to the nearest litre. (c) On a certain day, the tank was filled with water. If the school has 500 students and each student uses an average of 40 litres of water per day, determine the number of days that the students would use the water. ## Form 1 MathematicsFind the amount of the 90% pure chemical used ## Form 1 Mathematicstake to complete the remaining job. ## Form 1 Mathematicsworking at a rate of 12 hours per day. Find the number of machines the contractor requires to complete the job. ## Form 1 Mathematics(a) Determine the fraction of the tank is still empty (b) Find how long it would take to fill the remaining fraction of the tank if all the three taps are opened ## Form 1 Mathematicsthe time the outlet tap takes to empty the full tank when the inlet tap is closed. ## Form 1 Mathematics- i) Total fuel consumption for the round trip
- ii) Average fuel consumption per hour for the round trip.
## Related Questions and Answers on Speed and Rates## Form 1 MathematicsJanuary was Ksh. 14 820. In February, Mambo donated 1/8th of his salary to the children's home while Simba donated 1/12th of his salary to the children's home. Their total donation for February was Ksh 8 675. Calculate Mambo 's monthly salary. ## Form 1 Mathematics## Form 1 Mathematics## Form 1 Mathematicsa) 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 to supply water to his customers at an average rate of 20 Liters 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 the day. If the water that remained in the tank was 6 300 litres, calculate, in litres, the amount of water that was wasted. ## Form 1 Mathematics## Form 1 Mathematics## Form 1 MathematicsCalculate the percentage increase in Akinyi's earnings given that the sum of their new earnings was Ksh. 14100. b) Juma and Akinyi contributed all the new earnings to buy maize at Ksh 1175 per bag. The maize was then sold at Ksh 1762.50 per bag. The two shared all the money from the sales of the maize in the ratio of their contributions. Calculate the amount that Akinyi got. ## Form 1 Mathematics(a) The tank is initially empty. Find how long it would take to fill up the tank (i) If tap R is closed and taps P and Q are opened at the same time (ii) If all the three taps are opened at the same time (b) The tank is initially empty and the three taps are opened as follows P at 8.00 a.m Q at 8.45 a.m R at 9.00 a.m (i) Find the fraction of the tank that would be filled by 9.00 a.m (ii) Find the time the tank would be fully filled up ## A rectangular tank of base 2.4 m by 2.8 m and a height of 3 m contains 3,600 liters of water initially. Water flows into the tank at the rate of 0.5 litres per second. Calculate the time in hours and minutes, required to fill the tank |