-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)