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The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room...
(Solved)
The length of a room is 3m loner than its width. A carpet whose area is 18m2 is laid in the middle of the room leaving a margin of 0.5m wide between the carpet and the wall all round the room.
a) If the width of the room is x, write an expression for the dimensions of the carpet in terms of x.
b) Express the area of the carpet in terms of x
c) Determine the dimensions of the room.
d) Determine the space between the carpet and the wall is covered by a material which costs sh 245 per square metre. Find the cost of the material required.
Date posted:
August 14, 2019
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Answers (1)
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The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.
(Solved)
The interior angle of a regular polygon is 20o more than three times the exterior angle. Determine the number of sides of the polygon.
Date posted:
August 14, 2019
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Answers (1)
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Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o = x = 90o.
(Solved)
Solve for x without using tables.
Sin (2x – 30o) – cos 4x = 0 for 0o ≤ x ≤ 90o.
Date posted:
August 14, 2019
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Answers (1)
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The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find...
(Solved)
The longest side of a right angled triangle is (9x – 2)cm. The other two sides are 8x cm and (2x + 1)cm long. Find x and hence the lengths of the triangle.
Date posted:
August 14, 2019
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Answers (1)
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Two similar containers have base area of 750cm2 and 120cm2 respectively. Calculate the volume of the larger container in litres given that the volume of...
(Solved)
Two similar containers have base area of 750cm2 and 120cm2 respectively. Calculate the volume of the larger container in litres given that the volume of the smaller one is 400cm3.
Date posted:
August 14, 2019
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Answers (1)
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Solve for x in 3x – 3 x 15x = 15x
(Solved)
Solve for x in 3x – 3 x 15x = 15x
Date posted:
August 14, 2019
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Answers (1)
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The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm.
Calculate
(a) The length PS of the rectangle
(b)...
(Solved)
The figure below represent a rectangle PQRS inscribed in a circle centre O and radius 17cm. PQ =16cm.

Calculate
(a) The length PS of the rectangle
(b) The angle ROS
(c) The area of the shaded region
Date posted:
August 14, 2019
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Answers (1)
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A newly built classroom measuring 6m long 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The...
(Solved)
A newly built classroom measuring 6m long, 4.5m wide and 3.2 m high is to be cemented on the floor and all inside walls. The classroom has one door measuring 1.85m by 80cm by 80cm and four windows measuring 1.5m by 70cm each.Cementing materials cost 500 per square meter while labour costs 20% of the cost of cementing materials.Calculate:
(a) To one decimal place, the total surface are to be cemented
(b) The cost of cementing materials
(c) The total cost of cementing the classroom
Date posted:
August 14, 2019
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Answers (1)
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Solve for x in the equation below.
9(x-1) X 3(2x+1) = 243
(Solved)
Solve for x in the equation below.
9(x-1) X 3(2x+1) = 243
Date posted:
August 14, 2019
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Answers (1)
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Form the quadratic equation whose roots are x= -5/3 and x=1
(Solved)
Form the quadratic equation whose roots are x= -5/3 and x=1
Date posted:
August 14, 2019
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Answers (1)
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Nyongesa spends a total of sh.970 on buying 3 text books and 5 pens. If he had bought 2 text books and 5 pens he...
(Solved)
Nyongesa spends a total of sh.970 on buying 3 text books and 5 pens. If he had bought 2 text books and 5 pens he would have saved sh.90. Find the cost of one text book.
Date posted:
August 14, 2019
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Answers (1)
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An open right circular cone has radius of 5cm and a perpendicular height of 12cm .Calculate the surface area of the cone.(Take pi to be 3.14)
(Solved)
An open right circular cone has radius of 5cm and a perpendicular height of 12cm .Calculate the surface area of the cone.(Take pi to be 3.14)
Date posted:
August 14, 2019
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Answers (1)
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A surveyor recorded the measurements of a field in a field book using lines AB 260m as shown below.
(Solved)
A surveyor recorded the measurements of a field in a field book using lines AB 260m as shown below.

a) Sketch the map of the field.
b) Find the area of the field in hectares.
Date posted:
August 14, 2019
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Answers (1)
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In the figure below E is the mid point of BC. AD: DC 3:2 and F is the meeting point of BD and AE.If AB...
(Solved)
In the figure below E is the mid point of BC. AD: DC 3:2 and F is the meeting point of BD and AE.

If AB = b and AC = c
i) BD
ii) AE
b) If BF = t BD and AF = n AE. Find the value of t and n.
c) State the ratio of BD to BF.
Date posted:
August 14, 2019
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Answers (1)
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A group of people planned to contribute equally towards a water project which needed kshs. 2,000,000 to complete. However, 40 members of the group withdrew...
(Solved)
A group of people planned to contribute equally towards a water project which needed kshs. 2,000,000 to complete. However, 40 members of the group withdrew from the project. As a result, each of the remaining members were to contribute ksh 2500 more.
(a) Find the original number of members in the group.
(b) Forty five percent of the value of the project was funded by Constituency Development Fund (CDF). Calculate the amount that would be made by each of the remaining members of the group.
(c) Members contribution were in terms of labour provided and money contributed. The ratio of the value of labour to the money contributed was 6:19, calculate the total amount of money contributed by the members.
Date posted:
August 14, 2019
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Answers (1)
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B is 102km on the bearing of 112° from A. C is 94km on the bearing of 062° from B D is 073°from A and...
(Solved)
B is 102km on the bearing of 112° from A. C is 94km on the bearing of 062° from B D is 073° from A and 336° from C.
(a) Using a scale of 1cm to represent 20km,draw a diagram to show the positions of A,B,C and D.
(b) Using your diagram, determine;
i) The bearing of B from D and A from C.
ii) The distance AC and BD
Date posted:
August 14, 2019
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Answers (1)
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Two similar containers have base areas 25cm2 and 324cm2 respectively. Calculate the Capacity of the larger container correct to one decimal place if the capacity...
(Solved)
Two similar containers have base areas 25cm2 and 324cm2 respectively. Calculate the Capacity of the larger container correct to one decimal place if the capacity of the smaller one is 8cm3
Date posted:
August 14, 2019
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Answers (1)
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Two trains T1 and T2, traveling in opposite directions on parallel tracks are just beginning passone another. Train T1 is 72metres long and is traveling...
(Solved)
Two trains T1 and T2, traveling in opposite directions on parallel tracks are just beginning pass one another. Train T1 is 72metres long and is traveling at 108km/hr.T2 is 78 metres Long and traveling at 72km/hr. Find the time in seconds the two take to completely pass one another.
Date posted:
August 14, 2019
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Answers (1)
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Pipe A empties a full tank in 8 hours, pipe B empties in 6 hours and pipe C empties in 3 hours. If all the three...
(Solved)
Pipe A empties a full tank in 8 hours, pipe B empties in 6 hours and pipe C empties in 3 hours. If all the three pipes are open for 30 minutes and then pipe A closed , How long will it take to empty a full tank.
Date posted:
August 14, 2019
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Answers (1)
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Find the equation of a perpendicular bisector of a line AB if the coordinates of A and B are(-4,-2) and (6,2) respectively.
(Solved)
Find the equation of a perpendicular bisector of a line AB if the coordinates of A and B are (-4,-2) and (6,2) respectively.
Date posted:
August 14, 2019
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Answers (1)