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A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
(Solved)
A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
Date posted:
August 6, 2019
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Answers (1)
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Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
(Solved)
Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
Date posted:
August 6, 2019
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Answers (1)
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A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number...
(Solved)
A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number formed exceeds two-thirds of the original number by 52.
Find the original number.
Date posted:
August 6, 2019
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Answers (1)
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Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR...
(Solved)
Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR = 750 and
line PR = 7cm. measure line QR
b) Construct a circum circle of triangle PQR.
Date posted:
August 6, 2019
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Answers (1)
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A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b...
(Solved)
A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b and c are integers.
a) Determine the numerical values of a, b and c.
b) If the line in (a) above cuts the x-axis at point P, determine the coordinates of P.
c) Another line, which is perpendicular to the line in (a) above passes through point P and cuts the
y axis at Q. determine the coordinates of point Q.
d) Find the length of QP
Date posted:
August 6, 2019
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Answers (1)
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A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest is compounded quarterly. Find the amount in the account after...
(Solved)
A man invests Ksh. 24,000 in an account which pays 16% interest p.a. the interest iscompounded quarterly. Find the amount in the account after 1 ½ years.
Date posted:
August 6, 2019
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Answers (1)
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The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale...
(Solved)
The actual area of an estate is 3510 hectares. The estate is represented by a rectangle
measuring 2.6cm by 1.5 cm on the map whose scale is 1:n. Find the value of n.
Date posted:
August 6, 2019
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Answers (1)
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The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the...
(Solved)
The circle below whose area is 18.05 cm2 circumscribes a triangle ABC where AB = 6.3
cm, BC = 5.7 and AC = 4.8cm. Find the area of the shaded part.
Date posted:
August 6, 2019
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Answers (1)
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The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of...
(Solved)
The distance between two towns M and N is 280 km. A car and a lorry travelled from M to N. The average speed of the lorry is 20 km less than that of the car. The lorry takes one hour twenty minutes more than the car, to travel the distance.
a) Find the speed of the car correct to 2 d.p
b) If the lorry started its journey from M to N at 8:15 am and the car started 4 hours 20 minutes later, in the same direction, at what time did the car overtake the lorry?
c) How far from town N will the lorry be when the car reaches town N correct to 2 d.p?
Date posted:
August 6, 2019
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Answers (1)
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A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water...
(Solved)
A glass of radius 3 cm in the form of a cylinder contains water to a height of 9cm.
a) Find the volume of the water in the glass correct to 2 decimal places.
b) When a spherical marble is submerged into the water in the glass, the water level rises by 1cm.
Calculate:
i. The volume of the marble correct to 2 decimal places.
ii. Radius of the marble correct to 2 decimal places.
iii. If the height of the glass is 13cm, calculate the surface area of the glass not in contact with water after the above process.
Date posted:
August 6, 2019
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Answers (1)
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A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs...
(Solved)
A car dealer buys a car for Kshs.1, 250,000 and hire it for 25 weeks at a charge of Kshs. 3,500 per day. Insurance costs Kshs. 33,700 during the entire period, at the end of which he sells it at Kshs. 750,000. Calculate the profit that he makes on the transaction.
Date posted:
August 6, 2019
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Answers (1)
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At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At...
(Solved)
At 2.00 pm, a ship is at a position P from where a light house L is 12km away on a bearing of 320o. At 4.00pm, the ship is at a position Q from where the lighthouse is now on a bearing of 035°. Given that the ship is traveling due West, find by calculation;
a) How far the lighthouse is from Q.
b) The speed of the ship.
c) The closest distance of the ship from the light house.
d) The lighthouse, point Q and point P were noted to be along the circumference of a circular field. Find the distance of P from the Centre of the field.
Date posted:
August 6, 2019
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Answers (1)
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Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the...
(Solved)
Atieno is now four times as old as her daughter and six times as old as her son. Twelve years
from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What
is Atieno’s present age?
Date posted:
August 6, 2019
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Answers (1)
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Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
(Solved)
Find the area of the triangle below given that lines AB=25cm, BC = 15cm, AC = 14cm, BD =28cm and angle CBD =320.
Date posted:
August 6, 2019
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Answers (1)
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Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0
(Solved)
Find the value of x which satisfy the following equation.
52x - 6(5x)+5 = 0
Date posted:
August 6, 2019
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Answers (1)
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A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2%...
(Solved)
A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2% in each measurement, determine the greatest value of x+ y/x
if x and y are the width and length of the classroom respectively.
Give your answer to 4 decimal places.
Date posted:
June 20, 2019
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Answers (1)
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The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are...
(Solved)
The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are to be fitted onto the floor.
(a) Calculate the number of tiles needed for the floor.
(b) A dealer wishes to buy enough tiles for fifteen such rooms. The tiles are packed in cartons
each containing 20 tiles. The cost of each carton is Kshs. 800. Calculate
(i) the total cost of the tiles.
(ii) If in addition, the dealer spends Kshs. 2,000 and Kshs. 600 on transport and subsistence
respectively, at what price should he sell each carton in order to make a profit of 12.5%
(Give your answer to the nearest Kshs.)
Date posted:
June 20, 2019
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Answers (1)
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The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o...
(Solved)
The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o and ACB=50o which is in the circle. Calculate the area of ABC
Date posted:
June 20, 2019
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Answers (1)
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A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans....
(Solved)
A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans. The rest is planted with carrots.
If 0.9acres are under carrots, find the total area of the farm
Date posted:
June 20, 2019
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Answers (1)
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The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
(Solved)
The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
Date posted:
June 20, 2019
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Answers (1)