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From a point 20m away on a level ground the angle of elevation to the lower window line is 270 and the angle of elevation...
(Solved)
From a point 20m away on a level ground the angle of elevation to the lower window line is 270 and the angle of elevation to the top line of the window is 320. Calculate the height of the window.
Date posted:
June 18, 2019
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Answers (1)
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The exterior angle of a regular polygon is an eighth of the interior angle. How many sides does the regular polygon have?
(Solved)
The exterior angle of a regular polygon is an eighth of the interior angle. How many sides does the regular polygon have?
Date posted:
June 18, 2019
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Answers (1)
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In the figure below, lines AB and LM are parallel.
Find the values of the angles marked x, y and z
(Solved)
In the figure below, lines AB and LM are parallel.

Find the values of the angles marked x, y and z
Date posted:
June 18, 2019
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Answers (1)
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The exterior angle of a regular polygon is equal to one-third of the interior angle.
Calculate the number of sides of the polygon and give its...
(Solved)
The exterior angle of a regular polygon is equal to one-third of the interior angle.
Calculate the number of sides of the polygon and give its name.
Date posted:
June 18, 2019
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Answers (1)
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Wanjiku is standing at a point P, 160m south of a hill H on a level ground. From point P she observes
the angle of elevation...
(Solved)
Wanjiku is standing at a point P, 160m south of a hill H on a level ground. From point P she observes
the angle of elevation of the top of the hill to be 670
(a) Calculate the height of the hill
(b) After walking 420m due east to the point Q, Wanjiku proceeds to point R due east of Q, where the
angle of elevation of the top of the hill is 350. Calculate the angle of elevation of the top of the hill
from Q
(c) Calculate the distance from P to R
Date posted:
June 18, 2019
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Answers (1)
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The sum of angles of a triangle is given by the expression (2a+b)0 while that of a quadrilateral is
given by (13a - b)0 . Calculate...
(Solved)
The sum of angles of a triangle is given by the expression (2a+b)0 while that of a quadrilateral is
given by (13a - b)0 . Calculate the values of a and b
Date posted:
June 18, 2019
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Answers (1)
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Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C
(Solved)
Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C
Date posted:
June 18, 2019
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Answers (1)
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Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 8.4cm, calculate
(i) To the nearest two...
(Solved)
Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 8.4cm, calculate
(i) To the nearest two decimal places distance of the sixth jump
(ii) The total distance covered after the sixth jump
Date posted:
June 18, 2019
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Answers (1)
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Factorize completely the expression
75x2 – 27y2
(Solved)
Factorize completely the expression
75x2 – 27y2
Date posted:
June 18, 2019
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Answers (1)
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A rectangular field measures 63.9m by 104.6metres find the minimum number of poles to be
erected for fencing if they are to be at most 2.4meters...
(Solved)
A rectangular field measures 63.9m by 104.6metres find the minimum number of poles to be
erected for fencing if they are to be at most 2.4meters apart.
Date posted:
June 18, 2019
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Answers (1)
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Simplify the expression 2/3 (3x -2) – ¾ (2x -2)
(Solved)
Simplify the expression 2/3 (3x -2) – ¾ (2x -2)
Date posted:
June 18, 2019
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Answers (1)
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Given that x + y = 8 and x2 + y2 = 24
Find;
(a) the value of x2 + 2xy + y2
(b) Find the value of...
(Solved)
Given that x + y = 8 and x2 + y2 = 24
Find;
(a) the value of x2 + 2xy + y2
(b) Find the value of ; 2xy
(c) x2 – 2xy + y2
(d) x – y
(e) Value of x and y
Date posted:
June 18, 2019
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Answers (1)
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Mutua bought 160 trays of 8 eggs each at shs.150 per tray. On transportation 12 eggs
broke. He later discovered that 20 eggs were rotten. If...
(Solved)
Mutua bought 160 trays of 8 eggs each at shs.150 per tray. On transportation 12 eggs
broke. He later discovered that 20 eggs were rotten. If he sold the rest at shs.180 per
tray, how much profit did he make?
Date posted:
June 18, 2019
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Answers (1)
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Five year ago, a mother’s age was four times that of her daughter. In four years to come,
she will be 2 ½ times the age...
(Solved)
Five year ago, a mother’s age was four times that of her daughter. In four years to come,
she will be 2 ½ times the age of her daughter. Calculate the sum of their present ages
Date posted:
June 18, 2019
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Answers (1)
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A group of young men decided to raise Ksh.480000 to start a business. Before actual payment was made four members pulled out and each of...
(Solved)
A group of young men decided to raise Ksh.480000 to start a business. Before actual payment was made four members pulled out and each of the remaining had to pay an additional Ksh.20000. Write an expression in terms of P for.
(a) (i) Original contribution of each member.
(ii) Contribution after withdrawal of four members.
(b) Form an equation in P and hence determine the number of initial members.
(c) Three men Kamau, James and Hassan shared Shs.480000 such that Kamau: James is 3: 2 and James: Hassan is 4: 2. Find how much each got.
Date posted:
May 23, 2019
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Answers (1)
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The table alongside shows the rates of taxation in a certain year.
In that year Mr. Kariuki a civil servant was earning a basic salary of...
(Solved)
The table alongside shows the rates of taxation in a certain year.

In that year Mr. Kariuki a civil servant was earning a basic salary of Ksh. 27 000 per month. In
addition he was entitled to other taxable allowances totalling to Ksh 11 000 per month and a
personal relief of Ksh 1056 per month. He lives in a government house where he is paying a
nominal rent of Ksh. 3 500 per month.
(a) Calculate how much income tax Mr. Kariuki pays per month (in sh)
(b) Mr. Kariuki’s other deductions per month were co-operative society contribution of sh 2500
and loan repayment of sh. 3000, calculate his net salary per month.
Date posted:
May 23, 2019
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Answers (1)
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The figure below shows a triangle inscribed in a circle. AB = 6cm, BC = 9cm and AC =
10cm.
(a) The interior angles of triangle ABC.
(b)...
(Solved)
The figure below shows a triangle inscribed in a circle. AB = 6cm, BC = 9cm and AC =
10cm.

Calculate
(a) The interior angles of triangle ABC.
(b) The radius of the circle.
(c) The area of the shaded part.
Date posted:
May 23, 2019
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Answers (1)
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An arc subtends an angle of 0.9 radians. If radius of circle is 13cm, find the length of the arc.
(Solved)
An arc subtends an angle of 0.9 radians. If radius of circle is 13cm, find the length of the arc.
Date posted:
May 23, 2019
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Answers (1)
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In the figure below CB is a tangent to the circle, DEB is a straight line DE:EB=1:3
(Solved)
In the figure below CB is a tangent to the circle, DEB is a straight line DE:EB=1:3

Find BD and EB given that CB=8√3cm
Date posted:
May 23, 2019
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Answers (1)
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An item that costs sh 24000 cash can be bought on hire purchase. A customer pays sh 6000
as deposit and then makes 6 monthly instalments...
(Solved)
An item that costs sh 24000 cash can be bought on hire purchase. A customer pays sh 6000
as deposit and then makes 6 monthly instalments of sh 3500 each. Calculate the monthly rate
of compound interest, giving your answer to 1 d.p.
Date posted:
May 22, 2019
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Answers (1)