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A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years.
(Solved)
A commercial plot is valued at shs.500,000. The plot depreciates at a rate of 10% per six months for a period of 2 years. It then appreciates at a rate of 4% per quarter yearly for three years. Find the value of the plot after 5 years to nearest shillings.
Date posted:
September 11, 2019
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Answers (1)
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In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.
(Solved)
In the figure shown below, angle PTS = 54° and PT and ST are tangents to the circle and that PR is parallel to TS.
Giving reasons; find the values of angles:
(i) PRQ.
(ii) RQS.
Date posted:
September 11, 2019
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Answers (1)
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Show by shading the unwanted region, the region which satisfies the following inequalities
(Solved)
Show by shading the unwanted region, the region which satisfies the following inequalities
(b) calculate the area of this region in a square units
Date posted:
September 10, 2019
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Answers (1)
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Five towns V,W,X,UY and Z are situated such that W is 200km east of V.
(Solved)
Five towns V,W,X,UY and Z are situated such that W is 200km east of V. X is 300km from W on a bearing of 150o. Y is 350km on a bearing of 240o from X. Z is 150o from V but 200o from X.
Draw the diagram representing the position of the towns. ( use a scale of 1cm to represent 50km) .
(b) From the diagram determine
(i) the distance in km of V from Z
(ii) The bearing of Y from W
(c) A plane heading to town X takes off from town y and flies upwards of a constant angle which
is less than 90o. After flying a distance of 350km in the air it sees town x at an angle of depression of 50o. Calculate the distance of the plane from x at this point to the nearest km.
Date posted:
September 10, 2019
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Answers (1)
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Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o
(Solved)
Using compass and ruler only construct a triangle Arc such that AB= 6cm ,BC = 5cm and angle ABC = 67.5o, measure the length of AC
Date posted:
September 10, 2019
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Answers (1)
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A student expanded ( x + y)2 incorrectly as x2+ y2
(Solved)
A student expanded ( x + y)2 incorrectly as x2+ y2. Calculate the percentage error in the answer if x = 4 and y = 6
Date posted:
September 10, 2019
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Answers (1)
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A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml.
(Solved)
A fruit juice dealer sell the juice in packet of 300ml, 500ml and 750ml. find the size of the smallest
container that can fill each of the packets and leave a remainder of 200ml
Date posted:
September 10, 2019
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Answers (1)
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A school has two students whose age difference is 9. Twice the sum of their ages is equal to the age of their teacher.
(Solved)
A school has two students whose age difference is 9. Twice the sum of their ages is equal to the age of their teacher.
(a) By letting the age of the younger student be y, write an expression of the:
(i) Age of the elder student.
(ii) Age of their teacher.
(b) If in 19 years time, the product of the ages of the two students is equal to 14 times the age of their teacher;
(i) Form an equation in y and hence determine the present possible age of the younger student.
(ii) Determine the possible age of the elder student in 19 years time.
(iii) Find the possible age of the teacher.
Date posted:
September 10, 2019
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Answers (1)
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Factorise xy – zy – xw + zw hence simplify the expression completely.
(Solved)
Factorise xy – zy – xw + zw hence simplify the expression completely.
Date posted:
September 10, 2019
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Answers (1)
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A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange...
(Solved)
A tourist visited Kenya with 2500 U.S dollars and changed the U.S dollars into Kenya Shillings at a local bank in Kenya when the exchange rates at the time were as follows:
(a) How much did he get in Kenya shillings?
(b) While in Kenya, he used Shs. 80,000 and after his stay he converted the remaining amount into sterling pounds. Calculate, to 2 decimal places, the Sterling Pounds that he got.
Date posted:
September 10, 2019
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Answers (1)
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Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°.
(Solved)
Three boats X, y and Z are approaching a harbour H. X is 50km from the harbour on a bearing of 090°. Y is 80km from the harbour on a bearing of 130° and Z is due West of Y and on a bearing of 200° from the harbour.
(a) Using a scale of 1cm rep 10km make a scale drawing showing the positions of the three boats relative to the harbour.
(b)
(i) Using the scale drawing find; the distance between X and Y.
(ii) The distance of Z from the harbour
(iii) The distance between X and Z.
(iv) The compass bearing of X from Z.
Date posted:
September 6, 2019
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Answers (1)
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Determine the values of x where the curve y = x² - 2x - 3
(Solved)
(a) Determine the values of x where the curve y = x² - 2x - 3 cuts the x-axis.
(b) Using the mid-ordinate rule with four ordinates, estimate the area enclosed by the curve
y = x² - 2x - 3 and the x-axis
(c) Calculate the same area using integration method.
(d) Taking the area obtained by integration to be the exact area of the region, calculate the percentage error made when the mid-ordinate rule is used.
Date posted:
September 6, 2019
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Answers (1)
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The image of point A (-3, 4) under a translation, T is A¹ (2, -2).
(Solved)
The image of point A (-3, 4) under a translation, T is A¹ (2, -2). If the image of a point B under
T is (0, -1). Find the coordinates of B.
Date posted:
September 6, 2019
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Answers (1)
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Martha has 26 coins whose total value is sh.205.
(Solved)
Martha has 26 coins whose total value is sh.205. There are thrice as many Sh.10 coins as there are
Sh.20 coins. The rest are 50cts coins. Find the number of Sh.20 coins that Martha has.
Date posted:
September 6, 2019
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Answers (1)
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In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°.
(Solved)
In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°. Point D divides BC in the ratio 1: 4 and point E divides AC in the ratio 2: 3. Find the area of the quadrilateral ABDE.
Date posted:
September 6, 2019
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Answers (1)
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Use reciprocal and square tables to calculate to 3 significant figures the value of:
(Solved)
Use reciprocal and square tables to calculate to 3 significant figures the value of:
Date posted:
September 6, 2019
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Answers (1)
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If three numbers 36, 54 and x have a GCD of 6 and LCM of 216.
(Solved)
If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. Find the least value of x
Date posted:
September 6, 2019
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Answers (1)
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The displacement S metres of a body moving along a straight line after t seconds is given by
(Solved)
The displacement S metres of a body moving along a straight line after t seconds is given by
(a) Find its initial acceleration.
(b) Calculate:-
(i) The time when the body was momentarily at rest.
(ii) Its displacement by the time it comes to rest momentarily
(c) Calculate the maximum velocity attained
Date posted:
September 6, 2019
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Answers (1)
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In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.
(Solved)
In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.
(b) Given further that AF = tAD and OF = hOE where t and h are scalars, find the values of t and h
(c) Show that the points O, F and E are collinear
Date posted:
September 6, 2019
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Answers (1)
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The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.
(Solved)
The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.
The diameter of the hemispherical top is 70cm and is equal to the diameter of the top of the frustum. The
frustum has a base diameter of 28cm and a slant height of 60cm.
(a) Calculate the area of the hemispherical surface.
(b) Calculate the slant height of the cone from which the frustum was cut.
(c) Calculate the total surface area of the model
Date posted:
September 6, 2019
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Answers (1)