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King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.
(Solved)
King’oo spends one-third of his salary on food, one – quarter on rent, three – fifth of the remainder on transport and saves the rest.If he spends Kshs.1800 on transport, find how much money he saves.
Date posted:
August 22, 2019
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Answers (1)
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A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the...
(Solved)
A certain two – digit number is equivalent to five times the sum of the digits. It is found to be 9 less than the number formed when the digits are interchanged. Find the number.
Date posted:
August 22, 2019
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Answers (1)
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The figure below shows a circle centre O. Chord AB subtends 300 at the centre.
(Solved)
The figure below shows a circle centre O. Chord AB subtends 300 at the centre. If the area of the minor segment is 5.25cm2, find the radius of the circle.

Date posted:
August 22, 2019
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Answers (1)
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The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the...
(Solved)
The base of a triangle is 3cm longer than its height. Given that the area of the triangle is 35cm2, determine the height of the triangle.
Date posted:
August 22, 2019
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Answers (1)
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Translation Q is represented by the column vector
(Solved)
Translation Q is represented by the column vector
and another translation R by
the column vector
A point S is mapped onto a point T by Q and a point T is mapped into a point U by R.If point U is (8 , - 4) ,determine the co-ordinates of point S.
Date posted:
August 22, 2019
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Answers (1)
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Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
(Solved)
Determine the quartile deviation of the following data 4,9,5,4,7,6,2,1,6,7,8,3
Date posted:
August 22, 2019
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Answers (1)
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The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are...
(Solved)
The diagram, which is not drawn to scale, shows an isosceles triangle ABC in which AB = AC. The
co-ordinates of A and B are (5, 6) and 0,-4) respectively.

Given that the equation of line BC is y = ¾ x – 4 and that the perpendicular from A to BC meet BC at D, find;
i) The equation of AD
ii) The co-ordinate of D
iii) The co-ordinate of C
iv) The area of the triangle ABC
Date posted:
August 20, 2019
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Answers (1)
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A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret.
(Solved)
A Nissan matatu left nakuru at 9.10am at an average speed of 56km/h towards eldoret. A bus left Eldoret towards Nakuru at 10:10am travelling at an average speed of 70km/h. Given that the distance between Eldoret and Nakuru is 148km.
a) The time at which the matatu will meet the bus.
b) The distance from Eldoret to the meeting point
c) Another saloon car left Eldoret at 10.30am on the same day travelling towards Nakuru. If the car traveled at an average speed of 90km/hr. How long did it take the car to catch up with the bus?
Date posted:
August 20, 2019
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Answers (1)
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A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the...
(Solved)
A spire stands directly across the street from a building. The angle of depression of the top of the building from the top of the spire is 25.8o and the angle of elevation of the top of the spire from the foot of the building is 43.5o. Given that the distance between the spire and the building is 40m, calculate to 2dp.
a) The height of the spire
b) The difference in height between the spire and the building
c) The height of the building
d) The angle of elevation of the top of the building from the foot of the spire
Date posted:
August 20, 2019
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Answers (1)
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a)Using a ruler and a pair of compasses only construct a rhombus A B C D such that AB = 6cm and o.
(Solved)
a)Using a ruler and a pair of compasses only construct a rhombus A B C D such that AB = 6cm and o.
b) Drop a perpendicular from C to AB extended to meet AB at N. measure BN and CN.
c) Bisect
d) Determine the area o f triangle ABM.
Date posted:
August 20, 2019
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Answers (1)
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Given that tan alpha = 0.75, without using tables or a calculator find cos (180- alpha)
(Solved)
Given that tan alpha = 0.75, without using tables or a calculator find cos (180—alpha)
Date posted:
August 20, 2019
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Answers (1)
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Using a pair of compasses and a ruler only construct a triangle ABC such that AB= 4cm,BC = 6cm and angle ABC = 135°.
(Solved)
Using a pair of compasses and a ruler only construct a triangle ABC such that AB= 4cm,BC = 6cm and angle ABC = 135°.
Date posted:
August 20, 2019
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Answers (1)
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A shirt whose marked price is sh.800 is sold to a customer after allowing him a discount of 13%.
(Solved)
A shirt whose marked price is sh.800 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 20%. Find how much the trader paid for the shirt.
Date posted:
August 20, 2019
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Answers (1)
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Find the perimeter of the figure below. Give your answer correct to four significant figures.
(Solved)
Find the perimeter of the figure below. Give your answer correct to four significant figures.

Date posted:
August 20, 2019
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Answers (1)
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The motion of a particle P moving a long a straight line is described by the equation s = 8t + 10t2 – t3. Where...
(Solved)
The motion of a particle P moving a long a straight line is described by the equation s = 8t + 10t2 – t3. Where s is the distance in metres and t is time in seconds.
Calculate:
(i) The distance when t = 2.5 sec.
(ii) The maximum velocity of the motion
(iii) The acceleration of motion after 3 seconds
(iv) The time at which the velocity is zero
Date posted:
August 20, 2019
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Answers (1)
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The distance between two towns A and B is 460 km. A minibus left town A at 7:15 am and traveled towards B at an...
(Solved)
The distance between two towns A and B is 460 km. A minibus left town A at 7:15 am and traveled towards B at an average speed of 65 km/h.A car left B at 9:45 am on the same day and traveled towards A at an average speed of 100 km/h.
(a) How far from B did they meet?
(b) At what time did the two vehicles meet?
(c) A motorist started from his home at 8:15 am on the same day and traveled to B at an average speed of 120 km/h. He arrived at the same time as the minibus. Calculate the distance from B to his home.
Date posted:
August 20, 2019
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Answers (1)
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An open rectangular box measures externally 32cm long, 27cm wide and 15cm deep. If the box is made of wood 1cm thick, what volume of...
(Solved)
An open rectangular box measures externally 32cm long, 27cm wide and 15cm deep. If the box is made of wood 1cm thick, what volume of wood is used?
Date posted:
August 20, 2019
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Answers (1)
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Use reciprocal tables to work out the following correct to 4s.f.
(Solved)
Use reciprocal tables to work out the following correct to 4s.f.

Date posted:
August 20, 2019
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Answers (1)
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A cylindrical storage tank of diameter 14 cm is initially two thirds full of water. The tank is filled by a pipe of internal diameter...
(Solved)
A cylindrical storage tank of diameter 14 cm is initially two thirds full of water. The tank is filled by a pipe of internal diameter 10 cm through which water flows at the rate of 56 litres per minute. Water starts flowing into the tank at 10:15 am and the tank is full at 2:55 pm.
(a) Determine the height of the tank.
(b) Starting with the full tank, school uses water from this tank at the rate of 11,550 cm3 per day. Find how long it takes to consume all the water assuming that no more water is added.
(c) How long does it take for the tap to fill the tank when empty?
Date posted:
August 20, 2019
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Answers (1)
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A number of people working at a factory decided to raise sh. 72,000 towards a famine relief. Each person was to contribute the same amount....
(Solved)
A number of people working at a factory decided to raise sh. 72,000 towards a famine relief. Each person was to contribute the same amount. Before the contributions were collected, five of the people retired from working at the factory. This means that the remaining contributors had to pay more to meet the same target.
(a) Taking ‘n’ as the number of people working in the factory originally, write down an expression for the increase in the contribution per person.
(b) If the increase in the contribution per person was sh. 1200, find the number of people originally.
(c) How much would each person have contributed to the nearest shilling if the five had not retired?
(d) Calculate the percentage increase in the contribution per person caused by retirements giving your answer to the nearest hundredth.
Date posted:
August 20, 2019
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Answers (1)