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A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members...
(Solved)
A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.
Date posted:
November 5, 2019
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Answers (1)
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In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX...
(Solved)
In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.

a) Calculate the length of AX.
b) The area of ΔABX is 6cm2. Calculate the area of ΔCXD.
Date posted:
November 5, 2019
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Answers (1)
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Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
(Solved)
Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
Date posted:
November 5, 2019
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Answers (1)
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Use logarithms to evaluate
(Solved)
Use logarithms to evaluate

Date posted:
November 5, 2019
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Answers (1)
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A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van...
(Solved)
A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van left town B and travelled towards A at an average speed of 80km/hr.
(a) (i) At what time did they meet
(ii) How far from A was the meeting point
b) A car left town B at 9:00am and travelled towards A at an average speed of 100km/hr.
Determine
(i) The time the car caught up with the van
(ii) The distance the car travelled to catch up with the van.
Date posted:
November 2, 2019
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Answers (1)
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Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent...
(Solved)
Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00
Date posted:
November 1, 2019
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Answers (1)
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Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given...
(Solved)
Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P
Date posted:
October 30, 2019
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Answers (1)
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a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at...
(Solved)
a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885
Date posted:
October 30, 2019
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Answers (1)
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A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money...
(Solved)
A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.
Date posted:
October 30, 2019
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Answers (1)
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Use logarithm tables to evaluate the following to four significant figures.
(Solved)
Use logarithm tables to evaluate the following to four significant figures.

Date posted:
October 30, 2019
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Answers (1)
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a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve...
(Solved)
a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x2 + 3x – 6 = 0
ii) 2x2 + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.
Date posted:
October 29, 2019
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Answers (1)
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Find the range of value of x which satisfy the inequality below:
(Solved)
Find the range of value of x which satisfy the inequality below:

Date posted:
October 29, 2019
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Answers (1)
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A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1...
(Solved)
A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1 and 15. Find the number formed.
Write the number in words.
Date posted:
October 29, 2019
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Answers (1)
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Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65
(Solved)
Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65
Date posted:
October 29, 2019
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Answers (1)
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Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always...
(Solved)
Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always left with 2 posts. Find the number of posts Mutua has for one side of the fence.
Date posted:
October 29, 2019
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Answers (1)
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Use the taxation rates table below to answer the questions that follow.
A civil servant is entitled to a monthly personal relief of Ksh. 3000 and...
(Solved)
Use the taxation rates table below to answer the questions that follow.

A civil servant is entitled to a monthly personal relief of Ksh. 3000 and her tax (PAYE) is ksh. 9000 per month. She is deducted NHIF ksh. 350 per month. WCPS ksh. 800 and co-op shares ksh. 1200 per month. Calculate:
a)The civil servant’s total deduction per month.
b)Total tax per month.
c)The civil servant’s annual gross salary
d)The civil servant’s basic salary if her monthly house allowance and medical allowances are ksh.10000 and ksh. 2000 respectively.
Date posted:
October 16, 2019
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Answers (1)
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An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a...
(Solved)
An electronics dealer in Wote town wishes to purchase radios and TV sets. He can buy at most 30 of both items. On average, a radio and TV cost sh. 4000 and sh. 12000 respectively and he has sh. 240000 to spend. The number of TV sets should be at most twice the number of radios. He must buy more than 5 TV sets.
a)Form all inequalities to represent above information.
b)If the dealer makes a profit of sh.600 and sh.1000 per radio and TV set respectively, find the maximum possible profit.
Date posted:
October 16, 2019
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Answers (1)
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A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a...
(Solved)
A married couple intends to have 3 children. They consult an expert who tells them that the probability of a male birth is 0.6.
a)Draw a tree diagram to represent this occurrence.
b)Find the probability that:
i) All the three children will be female.
ii) At least a male is born.
iii)At least 2 will be females.
Date posted:
October 16, 2019
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Answers (1)
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Write the expression below in surd form and rationalize the denominator.
(Solved)
Write the expression below in surd form and rationalize the denominator.

Date posted:
October 16, 2019
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Answers (1)
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The displacement, S metres of a moving particle from point O, after t seconds is given by:
S = t3 – 5t2 + 3t + 10
a)Find...
(Solved)
The displacement, S metres of a moving particle from point O, after t seconds is given by:
S = t3 – 5t2 + 3t + 10
a)Find S when t = 2
b)Determine:
i)The velocity of the particle when t = 5sec
ii)The value of t when the particles is momentarily at rest
c)Find the time, when the velocity of the particle is maximum.
Date posted:
October 16, 2019
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Answers (1)