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The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
(Solved)
The image of P(0,2), under an enlargement with a scale factor 3 is P’ (4,6). Find the centre of enlargement.
Date posted:
April 29, 2019
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Answers (1)
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Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
(Solved)
Solve the inequality 2x + 3> 5x – 3> - 8 and represent your answer on the number line
Date posted:
April 29, 2019
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Answers (1)
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Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the...
(Solved)
Tap P can fill a tank in 2 hours and tap Q can fill the same tank in 4 hours. Tap R can empty the tank is 3 hours.
a) If tap R is closed, how long would it take taps P and Q to fill the tank?
b) Calculate how long it would take to fill the tank when the three taps P, Q and R are left running.
Date posted:
April 29, 2019
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Answers (1)
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In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b
(Solved)
In the figure below OY = 20B, OX = 5/2 OA, OA = a and OB = b

a) Express the following in terms of a and b
(i) AB
(ii) XY
(b) Given that AC = 6AB, express OC & XC interms of a and b
(c) Show the points X, Y and C are collinear
(d) State the ratio in which C divides XY
Date posted:
April 29, 2019
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Answers (1)
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The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:
(Solved)
The displacement, S metres, of a moving particle after t seconds is given by
S = 40t3 – t2 + 3t + 3. Determine:
(a) The velocity of the particle when t= 3 seconds
(b) The value of t when the velocity of the particle is 4M/S
(c) The displacement when the particle velocity is 4M/S
(d) The acceleration of the particle when t = 3 seconds
Date posted:
April 29, 2019
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Answers (1)
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The diagram below shows a cross-section of a bottle. The lower part ABC is a hemisphere of radius 5.2cm and the
upper part is a frustrum...
(Solved)
The diagram below shows a cross-section of a bottle. The lower part ABC is a hemisphere of radius 5.2cm and the upper part is a frustrum of a cone. The top radius of the frustrum is one third of the radius of the hemisphere. The hemisphere part is completely filled with water as shown in the diagram.

(a) Determine the height of the frustrum part.
(b) Find the surface area of the frustrum part of the bottle.
Date posted:
April 29, 2019
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Answers (1)
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The distance between towns M and N is 280km. A car and a lorry travel from M to N.
The average speed of the lorry is...
(Solved)
The distance between towns M and N is 280km. A car and a lorry travel from M to N.
The average speed of the lorry is 20km/h less than that of the car. The lorry takes 1h 10min more than the car to
travel from M to N.
a) If the speed of the lorry is xkm/h, find x
b) The lorry left town M at 8.15am. The car left town M later and overtook the lorry at 12.15pm. Calculate the time the car left town M.
Date posted:
April 29, 2019
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Answers (1)
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On the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes through the points A and B. Point A...
(Solved)
On the diagram below, the line whose equation is 7y – 3x + 30 = 0 passes through the points A and B. Point A is on
the x-axis while point B is equidistant from x- and y-axes.

Calculate the co-ordinates of the point A and B
Date posted:
April 29, 2019
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Answers (1)
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A trader bought 360 trays of eggs at shs. 120 per tray. He later discovered that 8% of the eggs were bad and could not be...
(Solved)
A trader bought 360 trays of eggs at shs. 120 per tray. He later discovered that 8% of the eggs were bad and could not be sold. If he has to make a profit of 25%, how much should he sell the good eggs per tray.
Date posted:
April 29, 2019
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Answers (1)
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The ratio of Mueni’s earnings to Kilonzo’s earning is 5:3. If Mueni’s earnings is increased by 17% her new figure
becomes Kshs. 18,000. Find the corresponding...
(Solved)
The ratio of Mueni’s earnings to Kilonzo’s earning is 5:3. If Mueni’s earnings is increased by 17% her new figure
becomes Kshs. 18,000. Find the corresponding percentage change in Kilonzi’s earnings if the sum of their new
earnings is Kshs. 24,600.
Date posted:
April 29, 2019
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Answers (1)
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Evaluate without using a calculator
(Solved)
Evaluate without using a calculator

Date posted:
April 29, 2019
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Answers (1)
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A merchant blends 350kg of tea costing Sh. 84 kg with 140kg of tea costing Sh. 105 per kg. At what price must he sell
the...
(Solved)
A merchant blends 350kg of tea costing Sh. 84 kg with 140kg of tea costing Sh. 105 per kg. At what price must he sell
the mixture to gain 25%
Date posted:
April 29, 2019
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Answers (1)
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The first, the third and the seventh term of an increasing arithmetic progression are three consecutive terms of a geometric progression. If the first term...
(Solved)
The first, the third and the seventh term of an increasing arithmetic progression are three consecutive terms of a geometric progression. If the first term of the arithmetic progression is 10, find the common difference of the arithmetic progression
Date posted:
April 29, 2019
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Answers (1)
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The figure below shows a circle center O, radius 10 cm. The chord PQ = 16cm. Calculate the area of the unshaded region.
(Solved)
The figure below shows a circle center O, radius 10 cm. The chord PQ = 16cm. Calculate the area of the unshaded region.

Date posted:
April 29, 2019
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Answers (1)
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The area of a rhombus is 60cm2. Given that one of its diagonal is 15cm long. Calculate the perimeter of the rhombus.
(Solved)
The area of a rhombus is 60cm2. Given that one of its diagonal is 15cm long. Calculate the perimeter of the rhombus.
Date posted:
April 29, 2019
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Answers (1)
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If tan X = 4/3 , find the value of sin2X + cos X without using tables or calculator.
(Solved)
If tan X = 4/3 , find the value of sin2X + cos X without using tables or calculator.
Date posted:
April 29, 2019
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Answers (1)
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Find the equation of a straight line which is equidistant from the points A (2, 3) and B (6, 1). Express your answer in
the form...
(Solved)
Find the equation of a straight line which is equidistant from the points A (2, 3) and B (6, 1). Express your answer in
the form x/a + y/b =1 where a and b are constant.
Date posted:
April 29, 2019
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Answers (1)
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Determine the equation of the normal to the curve y = 3x2 – 4x + 1 at the point (2, 5).
(Solved)
Determine the equation of the normal to the curve y = 3x2 – 4x + 1 at the point (2, 5).
Date posted:
April 29, 2019
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Answers (1)
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Solve for y in the equation 8(2y – 1) x 32y = 16(y + 1).
(Solved)
Solve for y in the equation
8(2y – 1) x 32y = 16(y + 1).
Date posted:
April 29, 2019
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Answers (1)
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A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on...
(Solved)
A tourist arrived in Kenya with US Dollars 3000 which he exchanged into Kenya shillings. He spent Ksh. 75000 on hotel accommodation and Ksh.42500 on travel and other expenses. He changed the remaining money into sterling pounds. Calculate how much money in sterling pounds that he remained with using the following rates. (Leave your answer to the nearest 1£)

Date posted:
April 29, 2019
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Answers (1)