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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)
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Using a ruler and a pair of compasses only, construct a triangle ABC such that AB = 6.3cm, BC = 4.5cm and angle ABC =...
(Solved)
Using a ruler and a pair of compasses only, construct a triangle ABC such that AB = 6.3cm, BC = 4.5cm and angle ABC = 120o. Measure line AC.
Date posted:
August 20, 2019
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Answers (1)
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Two grades of tea costing sh. 120 and sh. 150 per kilogram are mixed. In what ratio should the two grades be mixed in order...
(Solved)
Two grades of tea costing sh. 120 and sh. 150 per kilogram are mixed. In what ratio should the two grades be mixed in order to produce a mixture that costs sh. 144 per kilogram?
Date posted:
August 20, 2019
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Answers (1)
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Three towns A, B and C are situated so that AB = 65 km and AC = 115 km. The bearing of B from A...
(Solved)
Three towns A, B and C are situated so that AB = 65 km and AC = 115 km. The bearing of B from A is 062o and the bearing of C from A is 278o.Calculate.
a) The distance BC
b) The bearing of B from C
Date posted:
August 20, 2019
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Answers (1)
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Solve the following quadratic equations by completing the square method.
3x2 – 7x – 5 = 0
(Solved)
Solve the following quadratic equations by completing the square method.
3x2 – 7x – 5 = 0
Date posted:
August 20, 2019
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Answers (1)
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The sum of the digits of a two digit number is 11. If the digits are interchanged the value of the number decreases by 63....
(Solved)
The sum of the digits of a two digit number is 11. If the digits are interchanged the value of the number decreases by 63. What is the number?
Date posted:
August 20, 2019
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Answers (1)
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The marked price of a pair of shoes is Sh. 2400. A customer buys the shoes and is offered a 10% discount and the seller...
(Solved)
The marked price of a pair of shoes is Sh. 2400. A customer buys the shoes and is offered a 10% discount and the seller still makes a profit of 20% on the cost of the shoes. Determine the cost price.
Date posted:
August 20, 2019
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Answers (1)
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The figure below shows a uniform cross-section of a swimming pool which is 4m wide. The depth of the pool increase gently from 1.5m to...
(Solved)
The figure below shows a uniform cross-section of a swimming pool which is 4m wide. The depth of the pool increase gently from 1.5m to 3.0m.

a) How much water in litres does it hold when full?
b) Calculate total internal surface area of the pool.
c) Find the angle at which the bottom of the pool inclines to the horizontal.
Date posted:
August 20, 2019
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Answers (1)