-
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
.
Answers (1)
-
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
.
Answers (1)
-
Solve for x in 3x – 3 x 15x = 15x
(Solved)
Solve for x in 3x – 3 x 15x = 15x
Date posted:
August 14, 2019
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
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
.
Answers (1)
-
In the figure below DA is a diameter of the circle ABCD centre o, radius 10cm. TCS is a tangent to the circle at c,...
(Solved)
In the figure below DA is a diameter of the circle ABCD centre o, radius 10cm. TCS is a tangent to the circle at c, AB = BC and angle DAC = 38º

a) Find the size of the angle
i) ACS
ii) BCA
b) Calculate the length of;
i) AC
ii) AB
Date posted:
August 14, 2019
.
Answers (1)
-
A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks , frequencies...
(Solved)
A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks , frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.

a) i) Complete the table.
ii) On the grid provided,draw the histogram.
b) i) State the group in which the median mark lies.
ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts. Using this information or otherwise, estimate the median mark.
Date posted:
August 14, 2019
.
Answers (1)
-
In the figure below, O is the centre of the circle of radius 3cm and AB is a chord such that its shortest distance from...
(Solved)
In the figure below, O is the centre of the circle of radius 3cm and AB is a chord such that its shortest distance from O is 1cm.

Calculate :
a) The length of the chord AB.
b) Angle AOB
c) The area of the minor sector OAB.
d) The area of the shaded segment.
Date posted:
August 14, 2019
.
Answers (1)