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Nairobi and Kisumu lie on the same longitude. The latitude of Nairobi is 1o12’s and that of Kisumu is 5o50’N. Calculate the distance between them...
(Solved)
Nairobi and Kisumu lie on the same longitude. The latitude of Nairobi is 1o12’s and that of Kisumu is
5o50’N. Calculate the distance between them in nautical miles
Date posted:
September 17, 2019
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Answers (1)
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Taps A and B can fill a tank in 4 and 9 hours respectively. Both taps are turned on for 2 hours after which ...
(Solved)
Taps A and B can fill a tank in 4 and 9 hours respectively. Both taps are turned on for 2 hours after which tap A is closed. Find how long tap B takes to fill the remaining part of the tank
Date posted:
September 17, 2019
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Answers (1)
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Two variables P and Q are such that P varies partly as Q and partly as the square root of Q. Determine
the...
(Solved)
Two variables P and Q are such that P varies partly as Q and partly as the square root of Q. Determine
the equation connecting P and Q when Q = 16, P = 500 and when Q = 25, P = 800.
Date posted:
September 17, 2019
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Answers (1)
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The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each...
(Solved)
The figure below represent a solid frustum. The faces ABCD and EFGH are parallel squares of sides 10cm and 6 cm respectively. Each of the slanting edges AE, BF, CG and DH are equal to 4cm.

Determine:
a)The length of the projection of AE on the plane ABCD
b)The angle between the line AE and the plane ABCD
c)The angle between the plane BCGF and ABCD
Date posted:
September 17, 2019
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Answers (1)
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A bag contains blue, green and red pens of the same type in the ratio 8:2:5 respectively. A pen is picked at random without...
(Solved)
A bag contains blue, green and red pens of the same type in the ratio 8:2:5 respectively. A pen is picked at random without replacement and its colour noted.
a)Determine the probability that the first pen picked is
i)Blue
ii)Either green or red.
b)Using a tree diagram, determine the probability that
i)The first two pens picked are both green
ii)Only one of the first pens picked is red.
Date posted:
September 17, 2019
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Answers (1)
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A globe representing the earth has a radius of 0.5m. point A(00, 100W), B (00, 350E), P(600N, 1100E) and Q(600N, 1200W) are marked on...
(Solved)
A globe representing the earth has a radius of 0.5m. point A(00, 100W), B (00, 350E), P(600N, 1100E) and Q(600N, 1200W) are marked on the globe.
a)Find the length of arc AB, leaving your answer in term of π
b)If O is the centre of the latitude 600N, find the area of the minor sector OPQ
c)Of the local time at Q is 10.30 a.m. on Monday, Determine the local time and day at P.
Date posted:
September 17, 2019
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Answers (1)
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The table below shows the current taxation rates in Kenya
A member of parliament’s monthly earnings are as follows: Basic salary Kshs. 300 000, commuted mileage...
(Solved)
The table below shows the current taxation rates in Kenya

A member of parliament’s monthly earnings are as follows: Basic salary Kshs. 300 000, commuted mileage allowance of Kshs. 75 000, entertain allowance Ksh. 60 000, extraneous allowance Ksh. 30 000, house allowance Kshs. 70,000, car maintaince allowance Kshs 247 000. he is entitled to a personal relief of Kshs. 1162 every month.
a)If before the promulgation of the new constitution all the MP’s allowances were tax free, calculate the PAYE the MP’s used to pay
b)In the new constitution all the MP’s are taxed just like the other Kenyans. Calculate the percentage increase in the MP’s PAYE after the new law was passed.
Date posted:
September 17, 2019
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Answers (1)
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Two large and one small pump can fill a swimming pool in 4 hours. One large and three small pumps can also fill the...
(Solved)
Two large and one small pump can fill a swimming pool in 4 hours. One large and three small pumps can also fill the swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps.
Date posted:
September 17, 2019
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Answers (1)
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Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write...
(Solved)
Given the equation y = x2 – 5x +6
a)In the space provided below sketch the graph of the equation y = x2 – 5x +6
b)Write down the co – ordinates of the Y intercept and X intercept
c)Calculate the area grounded by the curve y = x2 – 5x +6 and the lines x = 0
and x= 4
Date posted:
September 17, 2019
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Answers (1)
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In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such...
(Solved)
In a triangle below AOB, OA = a, OB = b, M is the midpoint of AB and N is a point on OB such that ON: NB = 1:2 AN and OM intersect at P

a) Express the following vectors in terms of a and b
AB
OM
AN
If OP = SOM express OP in terms of t, a and b
b) If AP = tAN express
AP in terms of t , a and b
c)Hence express OP in terms of t, a and b
d)Using the results above solve for s and t
Date posted:
September 17, 2019
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Answers (1)
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a) Given that y = 2cos (2x – 30)o is the equation of a curve state the amplitude and period of the curve
b)Given that y...
(Solved)
a) Given that y = 2cos (2x – 30)o is the equation of a curve state the amplitude and period of the curve
b)Given that y = -1 1/5 in the above function, find x where 
Date posted:
September 17, 2019
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Answers (1)
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Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine...
(Solved)
Machine A can do a piece of work n 6 hours while machine B can do the same piece of work in 9 hours. Machine A was set to do the piece of work but after 3 hours it broke down and machine B did the rest of the work. Find how long would machine B take to do the rest of the work
Date posted:
September 17, 2019
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Answers (1)
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Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal...
(Solved)
Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal places
Date posted:
September 17, 2019
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Answers (1)
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Use logarithms tables to evaluate
(Solved)
Use logarithms tables to evaluate

Date posted:
September 17, 2019
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Answers (1)
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The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and...
(Solved)
The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.

a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted:
September 17, 2019
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Answers (1)
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The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of...
(Solved)
The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of a circle, expressing it inform of x2 + y2 + ax + by + c = 0 where a, b and c are constants
Date posted:
September 16, 2019
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Answers (1)
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Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
(Solved)
Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
Date posted:
September 16, 2019
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Answers (1)
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A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1)....
(Solved)
A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1). If the co – ordinates of A,B,C and D are (-1,1), (0,1), (3,4) and (2,4) respectively:-
(a)Draw ABCD and A1 B1C1 and D1 under the shear on the grid provided and state
Co-ordinates of B1 and C1.
(b)State the invariant line.
(c)A1 B1C1 and D1 undergoes a stretch parallel to y – axis with scale factor -2 and invariant line y =3. On the same grid, draw A//B//C//D// the image of A1 B1C1 D1 under the stretch
(d)Describe completely the transformation that maps A//B//C//D// onto ABCD.
Date posted:
September 16, 2019
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Answers (1)
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Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC...
(Solved)
Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC = 750.
(b)Measure
(i)the length of AC
(ii)the angle ACB
(c)(i)Construct the locus of p such that BP = PC
(ii)Construct the locus of Q such that Q is on the opposite side of BC as A and angle
BCQ = 300.
(d)(i)the locus of P and Q meet at X, mark X .
(ii)Construct the locus of R in which angle BRC = 1200.
Date posted:
September 16, 2019
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Answers (1)
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The table below shows taxation rates in Kenya.
A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month....
(Solved)
The table below shows taxation rates in Kenya.

A civil servant is provided with a house and pays a nominal rent of Ksh. 6260 per Month. In addition the government gives him a medical allowance of Kshs. 7,000 p.m, entertainment allowance of Kshs. 3,000 p.m. He is entitled to a personal relief of Ksh. 1700 p.m. If the civil servants net tax is Kshs. 6,900 p.m.
Determine his :-
(a)Gross tax p.m
(b)Taxable income p.m
(c)Basic salary p.m
Date posted:
September 16, 2019
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Answers (1)