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Make p the subject of the formula;
(Solved)
Make p the subject of the formula;
Date posted:
May 3, 2019
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Answers (1)
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Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa...
(Solved)
Rono invested a sum of money, sh p at 24% p.a simple interest for 8 years and realised that he got the same amount as
Wekesa who invested sh. 2p for 4 years at compound interest. Calculate the rate of interest p.a
Wekesa enjoyed.
Date posted:
May 3, 2019
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Answers (1)
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Use logarithms correct to 4 significant figures to evaluate.
(Solved)
Use logarithms correct to 4 significant figures to evaluate.
Date posted:
May 3, 2019
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Answers (1)
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A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus...
(Solved)
A bus travels from Murang’a to Meru a distance of 320km at a speed of x km/h. If the speed is reduced by 20km/h the
bus would take 48 minutes more.
a) Form an equation to represent the given information and simplify it.
b) Find the speed of the bus.
c) Determine the time taken by the bus for the whole journey.
d) Another car is moving from Meru to Murang’a at a speed of 80km/h. Determine their relative speed.
Date posted:
May 3, 2019
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Answers (1)
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The table below shows measurements, in metres made by surveyor in his field book.
(Solved)
The table below shows measurements, in metres made by surveyor in his field book.
i) Using an appropriate scale draw the region.
ii) Find the area in hectares of the filed.
Date posted:
May 3, 2019
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Answers (1)
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Given that a = 5i + 4j, b = 3i - 2j and c = 7i + 10j; find the scalars m and n such...
(Solved)
Given that a = 5i + 4j, b = 3i - 2j and c = 7i + 10j; find the scalars m and n such that ma + nb = c
Date posted:
May 3, 2019
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Answers (1)
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The cash price of a music system is kshs. 30,000. It can be bought under hire purchase terms by paying a deposit of
kshs. 10,000 and...
(Solved)
The cash price of a music system is kshs. 30,000. It can be bought under hire purchase terms by paying a deposit of
kshs. 10,000 and twelve monthly installments of Kshs. 3,200 per month. Determine the percentage rate of interest per
month.
Date posted:
May 3, 2019
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Answers (1)
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If 2/3 is added to the numerator of a certain fraction the fraction will be increased by 1/21 and if 1/2 is deducted
from its denominator...
(Solved)
If 2/3 is added to the numerator of a certain fraction the fraction will be increased by 1/21 and if 1/2 is deducted
from its denominator that fraction becomes 2/9. Find the reciprocal of the fraction.
Date posted:
May 3, 2019
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Answers (1)
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The position of two towns A and B on earth surface are (360N, 490E) and (360N, 1310W) respectively.Take R = 6370
(Solved)
The position of two towns A and B on earth surface are (360N, 490E) and (360N, 1310W) respectively.Take R = 6370
a) Find the difference in longitude between the town A and B.
b) Calculate the distance between A and B along the latitude in
i) nautical miles
ii) kilometres
c) i) Another town C is 840km East of town B and on the same latitude as town A and B . Find the position of town C.
ii) If the local time in B is 7.30 a.m, find the local time in C.
Date posted:
May 3, 2019
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Answers (1)
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The first, third and sixth terms of an arithmetic progression (AP) correspond to the first three consecutive terms of a
geometric progression (GP). The first term...
(Solved)
The first, third and sixth terms of an arithmetic progression (AP) correspond to the first three consecutive terms of a
geometric progression (GP). The first term of each progression is 16, common difference of AP and d and common
ratio of the GP is r.
a) i) Write two equations involving d and r.
ii) Find the values of d and r.
b) Find the sum of the first 20 terms in the
i) Arithmetic progression (AP).
ii) Geometric progression (GP)
Date posted:
May 3, 2019
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Answers (1)
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Make y the subject of the formula.
(Solved)
Make y the subject of the formula.
Date posted:
May 3, 2019
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Answers (1)
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Use logarithms to evaluate.
(Solved)
Use logarithms to evaluate.
Date posted:
May 3, 2019
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Answers (1)
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The distance S metres from a fixed point, covered by a particle t seconds is given by the equation.
s = t3 - 6t2 + 9t...
(Solved)
The distance S metres from a fixed point, covered by a particle t seconds is given by the equation.
s = t3 - 6t2 + 9t + 5.
a) Calculate the gradient of the curve at t = 0.5 seconds.
b) Determine the value of s at the maximum turning point of the curve.
Date posted:
May 3, 2019
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Answers (1)
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A bus left town A at 11.45 a.m and travelled towards town B at average speed of 60km/h. A car left town B at 1.15p.m
on...
(Solved)
A bus left town A at 11.45 a.m and travelled towards town B at average speed of 60km/h. A car left town B at 1.15p.m
on the same day and travelled towards town A along the same road at an average speed of 90km/h. The distance
between the two towns is 540km. Determine
a) The time of day when the two vehicles met.
b) How far from A they met.
c) How far outside town B the bus was when the car reached town A.
Date posted:
May 3, 2019
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Answers (1)
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The table below shows Kenya’s tax rates in a certain year.
(Solved)
The table below shows Kenya’s tax rates in a certain year.
In that year Mr. Mwangi earned a basic salary of Kshs. 16000 per month. He is entitled to a house allowance of ksh.12000 per month and a medical allowance of ksh. 2000 per month.Calculate:
a) i) His taxable income per year in pounds.
ii) His monthly gross tax.
iii) The monthly net tax if he is given a relief of ksh. 1056 per month.
b) Other deductions per month are as follows
N.H.I.F sh. 320, cooperative loan sh. 5600,
WCPS sh 488, coop shares sh 2000
Find his monthly net pay.
Date posted:
May 3, 2019
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Answers (1)
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The diagram below represents a solid consisting of a hemispherical bottom and a conical frustrum at the top.
(Solved)
The diagram below represents a solid consisting of a hemispherical bottom and a conical frustrum at the top.
a) Determine the value of x hence the height of the cone.
b) Calculate;
i) The surface area of the solid.
ii) The volume of the solid.
Date posted:
May 3, 2019
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Answers (1)
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The figure below shows triangle OAB in which OA = a and OB = b. M and N are points on OB and AB respectively...
(Solved)
The figure below shows triangle OAB in which OA = a and OB = b. M and N are points on OB and AB respectively such
that OM = 1/3OB and AN = 2/5AB. Line AM and ON meet at P such that OP = 5/9 ON.
a) Express the following vectors in terms of a and b
i) AB
ii) ON
iii) AM
b) Express AP and PM in terms of a and b,hence show that the points A, P and M are collinear.
Date posted:
May 3, 2019
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Answers (1)
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Three hundred and sixty litres of a homogenous paint is made by mixing three paints A, B and C. The ratio by volume
of paints A...
(Solved)
Three hundred and sixty litres of a homogenous paint is made by mixing three paints A, B and C. The ratio by volume
of paints A to paint B is 3 : 2 and paint B to paint C is 1 : 2. Paint A costs sh. 180 per litre, paint B sh. 240 per litre and
paint C sh. 127.50 per litre. Determine:
a) The volume of each type of paint in the mixture.
b) The amount of money spent in making one litre of the mixture.
c) The percentage profit made by selling the mixture at sh. 221 per litre.
Date posted:
May 3, 2019
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Answers (1)
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The length and breadth of a rectangle are given as (6x - 1) and (x - 2) metres respectively. If the length and breadth
are each...
(Solved)
The length and breadth of a rectangle are given as (6x - 1) and (x - 2) metres respectively. If the length and breadth
are each increased by 4 metres, the new area is three times that of the original triangle.
a) Form an equation in x and solve it.
b) Find the dimension of the original rectangle.
c) Express the increase in area as a percentage of the original area.
Date posted:
May 3, 2019
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Answers (1)
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Evaluate the following
(Solved)
Evaluate the following
Date posted:
May 2, 2019
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Answers (1)