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The angle of depression of a point A on the ground from the top of a post is 180 and that of another point B on the same line as A nearer to the foot of the post is 250. If A and B are 70m apart,
(a) Draw a sketch to represent positions of A and B.
(b) Using your sketch calculate
(i) The height of the post from the ground level (Ans 1 d.p)
(ii) The distance of point A from the foot of the post.
Date posted:
June 18, 2019
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A regular polygon has its exterior angle 180, and one of its sides 16cm. Calculate its area.
(to 2 d.p)
Date posted:
June 18, 2019
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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 to the top line of the window is 320. Calculate the height of the window.
Date posted:
June 18, 2019
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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?
Date posted:
June 18, 2019
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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
Date posted:
June 18, 2019
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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 name.
Date posted:
June 18, 2019
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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 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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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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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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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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Factorize completely the expression
75x2 – 27y2
Date posted:
June 18, 2019
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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 apart.
Date posted:
June 18, 2019
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Simplify the expression 2/3 (3x -2) – ¾ (2x -2)
Date posted:
June 18, 2019
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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 ; 2xy
(c) x2 – 2xy + y2
(d) x – y
(e) Value of x and y
Date posted:
June 18, 2019
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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 he sold the rest at shs.180 per
tray, how much profit did he make?
Date posted:
June 18, 2019
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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 of her daughter. Calculate the sum of their present ages
Date posted:
June 18, 2019
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The eggs of birds are relatively much larger than those of mammals. Explain
Date posted:
June 18, 2019
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The calyx cells of a certain plant has 22 chromosomes. State the number of chromosomes
present in the plant’s
i) Endosperm
ii) Ovule cell
Date posted:
June 18, 2019
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Explain why menstrual periods stop immediately after conception?
Date posted:
June 18, 2019
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Name the hormone that causes leaf, flowers and fruit abscission
Date posted:
June 18, 2019
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Name the part of an ovule that develops into each of the following parts of a seed after
fertilization
i) Testa
ii) Endosperm
Date posted:
June 18, 2019
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State the ways that Elijah used in proving that Yahweh was the true God.
Date posted:
June 18, 2019
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State and discuss any five factors for the growth of the Shona kingdom
Date posted:
June 17, 2019
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Discuss the political organization of the Asante
Date posted:
June 17, 2019
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Discuss the role played by religion in the growth of Athens
Date posted:
June 17, 2019
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Describe the social structure of Kilwa
Date posted:
June 17, 2019
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Highlight the reasons for the decline of Meroe as an early urban center in Africa
Date posted:
June 17, 2019
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List the foreign powers that attempted to conquer Egypt
Date posted:
June 17, 2019
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Highlight five of the problems facing Johannesburg
Date posted:
June 17, 2019
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Give the functions of town of Johannesburg
Date posted:
June 17, 2019