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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)
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Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.
(Solved)
Points S(-2,2) and T(-3,7) are mapped onto S1(4,-10) and T1(0,10) by an enlargement . Calculate the enlargement scale factor.
Date posted:
April 29, 2019
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Answers (1)
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The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR...
(Solved)
The figure below represent a right pyramid with vertex V and a rectangular base PQRS.VP = VQ = VR = VS = 18cm and QR = 12cm, M and O are midpoints of QR and PR respectively.

Find:
(a) the length of the projection of VP on the plane PQRS.
(b) size of angle between VP and plane PQRS.
(c) size of angle between plane VQR and PQRS.
Date posted:
April 29, 2019
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Answers (1)
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(a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.
(Solved)
(a) Without using a set square or a protractor, construct triangle ABC such that AB = AC = 5.4cm and angle ABC = 30º.
(b) Measure BC.
(c) A point P is always on the same side of BC as A. Draw the locus of P such that angle BAC is always twice angle BPC.
(d) Calculate the area of triangle ABC.
(e) Draw a perpendicular from A to meet BC at D. Measure AD.
Date posted:
April 29, 2019
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Answers (1)
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In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ =...
(Solved)
In the figure below A and B are centres of the circle intersecting at point P and Q, angle PBQ = 97.2º while PAQ = 52º,
PB = 4cm while AP = 10cm.

Determine:-
(a) the length AB.
(b) the area of sector APQ.
(c) the area of the quadrilateral, APBQ.
(d) area of the shaded region.
Date posted:
April 29, 2019
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Answers (1)
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In the diagram below angle EDG = 36º,angle ABG = 42º line EDC and ABC are tangents to the circle at D and B respectively.
(Solved)
In the diagram below angle EDG = 36º,angle ABG = 42º line EDC and ABC are tangents to the circle at D and B respectively.

Calculate by giving reason.
(a) Angle DGB.
(b) Obtuse Angle DOB.
(c) Angle GDB.
(d) Angle DCB.
(e) Angle DFB.
Date posted:
April 29, 2019
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Answers (1)
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(a) Complete the table below for the function y = Sin 2x and y = 3 Cos x for -180º = x = 180º.
(Solved)
(a) Complete the table below for the function y = Sin 2x and y = 3 Cos x for -180º ≤ x ≤ 180º.

(b) On the same axes, draw the graph of y = Sin 2x and y = 3 Cos x -180º ≤ x ≤ 180º.
(c) Use the graph in (b) above to find:
(i) the value of x such that 3 Cos x - Sin 2x = 0.
(ii) the difference in value of y when x = 45º.
(iii) Range of values of x such that 3 Cos x > 1.5.
Date posted:
April 29, 2019
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Answers (1)
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The table below shows the rates at which income tax is charged on annual income.
(Solved)
The table below shows the rates at which income tax is charged on annual income.

A company employee earns a gross monthly salary of Ksh.18600. He is housed by the company and as a result, his
taxable income is increased by 15%. If the employee is married and claims a monthly family relief of Shs.250,
calculate
(a) his taxable income.
(b) his net salary per month.
Date posted:
April 29, 2019
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Answers (1)