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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)
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A trader bought 2 cows and 9 goats for a total of ksh. 98,200. If she had bought 3 cows and 4 goats,
she would...
(Solved)
A trader bought 2 cows and 9 goats for a total of ksh. 98,200. If she had bought 3 cows and 4 goats,
she would have spent ksh. 2200 less
a)Form two equations to represent the above information.
b)Use matrix method to determine the cost of a cow and that of a goat.
c)The trader later sold the animals she had bought making a profit of 30% per cow and 40% per goat.
i)Calculate the total amount of money she received.
ii)Determine, correct to 4 significant figures the percentage profit the trader made from the sale of the animals.
Date posted:
October 16, 2019
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Answers (1)
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A motorist left Embu for Nairobi, a distance of 240km, at 8.00a.m and travelled at an average speed of 90km/h. Another motorist left Nairobi for...
(Solved)
A motorist left Embu for Nairobi, a distance of 240km, at 8.00a.m and travelled at an average speed of 90km/h. Another motorist left Nairobi for Embu at 8.30a.m and travelled at 100km/h. Find:
a)The time they met.
b)How far they met from Nairobi.
Date posted:
October 16, 2019
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Answers (1)
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The figure below represents a cone of height 12cm and base radius of 9cm from which a similar smaller cone is removed, leaving a conical...
(Solved)
The figure below represents a cone of height 12cm and base radius of 9cm from which a similar smaller cone is removed, leaving a conical hole of height 4cm.
a)Calculate:
i) The base radius of conical hole.
ii)The volume, in terms of π of the smaller cone that was removed.
b)i) Determine, slant height of the original cone
ii)Calculate, in terms of π the surface area of the remaining solid after the smaller cone is removed.
Date posted:
October 16, 2019
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Answers (1)
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In the figure below, the tangent ST meets chord VU produced at T. Chord SW passes through the centre O, of the circle and intersects...
(Solved)
In the figure below, the tangent ST meets chord VU produced at T. Chord SW passes through the centre O, of the circle and intersects chord VU at X. Line ST = 12cm and UT = 8cm.
a)Calculate the length of chord VU.
b)If WX = 3cm and VX : XU = 2 : 3, find SX.
Date posted:
October 16, 2019
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Answers (1)
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The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule...
(Solved)
The velocity, v m/s of a particle after t seconds is given by v = t2 – 2t + 4.
a)i) Using the mid- coordinate rule with six strips, estimate the distance covered by the particle between t = 1 and t =13 seconds.
ii) Find the exact distance the particle covered between t =1 and t = 13 seconds.
b)Calculate the percentage error arising from the estimate in (a) above.
Date posted:
October 12, 2019
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Answers (1)
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Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i...
(Solved)
Point R divides line PQ externally in the ratio 4:3. The position vectors of P and Q are 2i + j – 3k and i – 2j + k respectively. Find the position vector, of R.
Date posted:
October 12, 2019
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Answers (1)
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The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins...
(Solved)
The probability of a team losing a game is 1/5. The team plays the game until it wins. Find the probability that the team wins in the fourth round.
Date posted:
October 12, 2019
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Answers (1)
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The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number....
(Solved)
The figure below represents a hollow cylinder. The internal and external radii are estimated to be 6cm and 8cm respectively, to the nearest whole number. The height of the cylinder is exactly 14cm.
a)Determine the exact values for the internal and external radii which will give maximum volume of the material.
b)Calculate the maximum possible volume of the material
Date posted:
October 12, 2019
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Answers (1)
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The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two...
(Solved)
The current price of a vehicle is ksh. 500,000. The value of the vehicle depreciates at a rate of 15% p.a for the first two years and at 20% p.a thereafter. Find the number of years it will take for its value to reduce to ksh. 147,968.
Date posted:
October 12, 2019
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Answers (1)
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The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular...
(Solved)
The figure below shows a triangular prism ABCDEF
a)Draw the net of the prism
b)A fly walks from A to D along the diagonals of rectangular faces:
i)On your net show the locus of the fly.
ii)Measure the distance covered by the fly, one way.
iii)The fly takes 15 seconds to reach D one way. Calculate its’ speed in, km/h.
Date posted:
October 12, 2019
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Answers (1)
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A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the...
(Solved)
A bus left Mombasa at 7.45 am towards Nairobi at an average speed of 60km/h. A saloon car left Mombasa at 9.15 am on the same day along the same road at an average of 120km/h. the distance between Mombasa and Nairobi is 360km.
a)Determine the time of day when the salon car overtook the bus.
b)Both vehicles contained towards Nairobi at their original speed. How long had the saloon car waited in Nairobi before the bus arrived.
Date posted:
October 12, 2019
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Answers (1)
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Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of...
(Solved)
Water and alcohol are mixed in the ratio 1:4. If the density of water and alcohol are 1g/cm3 and 0.8g/cm3 respectively. Find the density of the mixture.
Date posted:
October 11, 2019
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Answers (1)