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A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs...
(Solved)
A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs Kshs. 33,700 during the entire period, at the end of which he sells it at Kshs. 750,000. Calculate the profit that he makes on the transaction.
Date posted:
August 6, 2019
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Answers (1)
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At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At...
(Solved)
At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At 4.00pm, the ship is at a position Q from where the lighthouse is now on a bearing of 035°. Given that the ship is traveling due West, find by calculation;
a) How far the lighthouse is from Q.
b) The speed of the ship.
c) The closest distance of the ship from the light house.
d) The lighthouse, point Q and point P were noted to be along the circumference of a circular field. Find the distance of P from the Centre of the field.
Date posted:
August 6, 2019
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Answers (1)
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Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the...
(Solved)
Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What
is Atieno’s present age?
Date posted:
August 6, 2019
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Answers (1)
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Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
(Solved)
Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
Date posted:
August 6, 2019
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Answers (1)
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Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0
(Solved)
Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0
Date posted:
August 6, 2019
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Answers (1)
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A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2%...
(Solved)
A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2% in each measurement, determine the greatest value of x+ y/x
if x and y are the width and length of the classroom respectively.
Give your answer to 4 decimal places.
Date posted:
June 20, 2019
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Answers (1)
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The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are...
(Solved)
The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are to be fitted onto the floor.
(a) Calculate the number of tiles needed for the floor.
(b) A dealer wishes to buy enough tiles for fifteen such rooms. The tiles are packed in cartons
each containing 20 tiles. The cost of each carton is Kshs. 800. Calculate
(i) the total cost of the tiles.
(ii) If in addition, the dealer spends Kshs. 2,000 and Kshs. 600 on transport and subsistence
respectively, at what price should he sell each carton in order to make a profit of 12.5%
(Give your answer to the nearest Kshs.)
Date posted:
June 20, 2019
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Answers (1)
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The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o...
(Solved)
The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o and ACB=50o which is in the circle. Calculate the area of ABC
Date posted:
June 20, 2019
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Answers (1)
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A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans....
(Solved)
A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans. The rest is planted with carrots.
If 0.9acres are under carrots, find the total area of the farm
Date posted:
June 20, 2019
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Answers (1)
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The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
(Solved)
The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
Date posted:
June 20, 2019
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Answers (1)
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Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD =...
(Solved)
Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD = 750
Date posted:
June 20, 2019
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Answers (1)
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(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
(Solved)
(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
Date posted:
June 20, 2019
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Answers (1)
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Use the expansion of (x – 0.2)5 to find the exact value of 9.85
(Solved)
Use the expansion of (x – 0.2)5 to find the exact value of 9.85
Date posted:
June 20, 2019
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Answers (1)
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Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
(Solved)
Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
Date posted:
June 20, 2019
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Answers (1)
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a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
(Solved)
a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
Date posted:
June 20, 2019
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Answers (1)
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The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for...
(Solved)
The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for your answer, find:-
(i) CBD
(ii) DOB
(iii) DAB
(iv) CDA
b) Show that ADB is isosceles
Date posted:
June 20, 2019
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Answers (1)
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The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
The common chord AB = 9cm ad P and Q are the...
(Solved)
The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
The common chord AB = 9cm ad P and Q are the centres as shown:
(a) Calculate the size of angles:-
(i) APB
(ii) AQB
(b) Calculate the area of the shaded region
Date posted:
June 19, 2019
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Answers (1)
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In the figure below ABC is a tangent to the circle at B. given that
(Solved)
In the figure below ABC is a tangent to the circle at B. given that 
Find the sizes of the following angles giving reasons in each case:
a)BDG
b)DGE
c)EFG
d)CBD
e)BCD
Date posted:
June 19, 2019
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Answers (1)
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The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and...
(Solved)
The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and QC = 4cm. Find the value of x
Date posted:
June 19, 2019
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Answers (1)
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Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
in 6 hrs.
i) How...
(Solved)
Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
in 6 hrs.
i) How long would it take pipes A and B to fill the tank if pipe C is closed?
ii) Starting with an empty tank, how long would it take to fill the tank with all pipes running?
Date posted:
June 19, 2019
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Answers (1)