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The angle of elevation of the top of a flagpole from a point A on a level ground is 130.The angle of elevation of the top of the flagpole from another point B nearer the pole and 12m from A is 300. Find;
a)
i) The height of the flagpole
ii) The distance from point B to the top of the flagpole.
b) Tan 1050= -2- √3 .Determine the value of Tan 150 in surd form.
Date posted:
August 22, 2019
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(a) The bill for completely covering the floor of a rectangular room with carpet costing shs.70 per square metre is shs.1960.If one side of the room is X m long; show that the length of the other side is 
b) By leaving a uniform width of ½ m uncovered all round, shs.700 could have been saved. Use this information to form an equation in x and show that it reduces to X2 – 11x + 28 = 0.
c) Solve the equation and hence find the dimensions of the room
Date posted:
August 22, 2019
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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.If he spends Kshs.1800 on transport, find how much money he saves.
Date posted:
August 22, 2019
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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 number formed when the digits are interchanged. Find the number.
Date posted:
August 22, 2019
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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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The diagram in the figure below represents a wheel and axle used as a machine, whose efficiency is 80% to raise 400N of building materials. The wheel and axle have diameters of 75cm and 15cm respectively.
(i) Mark on the diagram the correct position and direction of the load to be lifted.
(ii) Name the principle on which this machine works.
(iii) Calculate the effort needed to raise the load.
(iv) The machine is operated manually and raises the load to a height of 5m in 20 seconds. Calculate the power developed by the operator
Date posted:
August 22, 2019
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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 triangle.
Date posted:
August 22, 2019
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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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A simple hydrometer is set up with a test –tube of mass 10g and length 12cm with a flat base and partially filled with lead shots. The test – tube has a uniform cross – sectional area of 2.0cm2 and 10cm of its length is under water as shown in the figure below.
(i) Determine the mass of lead shots in the test – tube (Take density of water = 1000kgm-3)
(ii) Calculate the mass of the lead shots to be added if the test – tube has to displace an equal volume of a liquid of density 1.25gcm-3.
(iii) What is the function of the lead shots?
Date posted:
August 22, 2019
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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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A light spring that obeys Hooke’s law was attached to a fixed support. When a load of 10N was hung on it, the length of the spring was 320mm and when a 20N load was hung on it, the length became 400mm. Determine:
(i) The length of the spring when it has no load on it
(ii) The length of the spring when it has a load of 16N.
Date posted:
August 22, 2019
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The figure below shows two graphs for two different springs A and B
F1 and F2 are points at which the springs break.
Determine and explain which of the two springs:
(i) Obeys Hooke’s law
(ii) Is stronger
Date posted:
August 22, 2019
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The diagram below shows a pendulum bob swinging freely to and from.
Determine the maximum velocity of the ball at B if the maximum horizontal displacement of the ball is 10cm.
Date posted:
August 22, 2019
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The word equation below shows a biological process.
Water-------->Hydrogen atom + oxygen
(i) Name the process.
(ii) Where does the process named in (i) above take place?
(iii) State two conditions necessary for the process to occur.
Date posted:
August 22, 2019
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Giving a reason, state the organisms that are MOST closely related.
Date posted:
August 22, 2019
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The diagram below shows results of what happens to plant cell when placed in a certain solution.
(i) What was the nature of the solution in which the cell was placed?
(ii) Identify the force represented by the arrow X and explain how it develops.
Date posted:
August 22, 2019
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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 (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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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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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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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
Date posted:
August 20, 2019
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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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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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Give one reason why early people moved from the forests to settle in the grasslands.
Date posted:
August 20, 2019
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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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Find the perimeter of the figure below. Give your answer correct to four significant figures.
Date posted:
August 20, 2019
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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 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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Why did the Nandi resist British invasion of their territory between 1896 – 1905?
Date posted:
August 20, 2019
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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 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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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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Explain five results of the migration and settlement of the Highland Nilotes in Kenya.
Date posted:
August 20, 2019