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The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of...
(Solved)
The length of a hollow cylindrical pipe is 6meters. Its external distance is 11cm and has a thickness of 1cm. Calculate the volume in cm3 of the material used to make the pipe.

Date posted:
August 23, 2019
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Answers (1)
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Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...
(Solved)
Mr Ondati is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.

Date posted:
August 23, 2019
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Answers (1)
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A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h...
(Solved)
A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu average is 20km/h faster than the bus and reaches there 1 hour 36 minutes earlier. Determine the speed of the bus.
Date posted:
August 23, 2019
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Answers (1)
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Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n
(Solved)
Given that (5m – 2n) : (2m – n) = 7:5. find the ratio m:n
Date posted:
August 23, 2019
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Answers (1)
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The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter
(Solved)
The sides of a triangle were measured to 1 decimal place as 6.5cm, 7.4cm and 8.2cm respectively.Calculate the percentage error in its perimeter
Date posted:
August 23, 2019
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Answers (1)
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A triangular plot of land XYZ is such that XY = 34m, XZ = 66m and angle YXZ = 96.70
(Solved)
A triangular plot of land XYZ is such that XY = 34m, XZ = 66m and angle YXZ = 96.70.
a) Calculate the length YZ
b) In order to subdivide the plot, a fencing post P is located on YZ such that YP: PZ = 1: 3. Calculate the area of the plot XYZ and hence find the area of the triangular subdivision XPY.
Date posted:
August 23, 2019
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Answers (1)
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The internal and external diameters of a circular ring are 8cm and 10cm respectively. Find the volume of the ring if its thickness is 3.5 millimeters.
(Solved)
The internal and external diameters of a circular ring are 8cm and 10cm respectively. Find the volume of the ring if its thickness is 3.5 millimeters.
Date posted:
August 23, 2019
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Answers (1)
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A metallic disc is in the shape of a regular polygon of side 16cm and interior angle 150o. The disc is 10mm thick and is...
(Solved)
A metallic disc is in the shape of a regular polygon of side 16cm and interior angle 150o. The disc is 10mm thick and is made of metal whose density is 8.5g /cm3.
a) Determine the number of sides of the polygon.
b) Calculate to the nearest whole number:
i. The area of the polygon
ii. The volume of the disc
iii. The mass of the disc in kg
Date posted:
August 23, 2019
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Answers (1)
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Mr Mulei saved Kshs. 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the previous year, until he...
(Solved)
Mr Mulei saved Kshs. 2,000 during the first year of employment. In each subsequent year, he saved 15% more than the previous year, until he retired.
a) How much did he save in the third year?
b)How much did he save in the 4th year?
c) Find the common ratio between the savings in the two consecutive years?
Date posted:
August 23, 2019
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Answers (1)
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An investor invested his money in a bank that gives compound interest of 12% p.a compounded quarterly. If he invested Kshs 16800 for 2 years...
(Solved)
An investor invested his money in a bank that gives compound interest of 12% p.a compounded quarterly. If he invested Kshs 16800 for 2 years and then withdraws all the money at the end of the 2 years, how much interest does he get?
Date posted:
August 23, 2019
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Answers (1)
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A point R (2, 2) is mapped onto R1 (8, 2) by a shear matrix, x-axis being invariant. Find the shear factor hence or otherwise...
(Solved)
A point R (2, 2) is mapped onto R1 (8, 2) by a shear matrix, x-axis being invariant. Find the shear factor hence or otherwise write down the shear matrix.
Date posted:
August 23, 2019
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Answers (1)
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In an examination, one hundred candidates took papers in physics and chemistry.Twenty five candidates failed in physics only. Twenty candidates failed in Chemistry Only. Fifteen...
(Solved)
In an examination, one hundred candidates took papers in physics and chemistry.Twenty five candidates failed in physics only. Twenty candidates failed in Chemistry Only. Fifteen failed in both physics and chemistry.A candidate is selected at random.
Find the probability that:
i) he failed in Chemistry if it is known that he failed in Physics.
ii) he failed in physics if it is known that he failed in chemistry.
iii) he failed either in Physics or in Chemistry but not in both.
Date posted:
August 23, 2019
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Answers (1)
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A trader deals in two types of rice; rice A and rice B. Type Arice costs Kshs. 400 per bag and type B costs Kshs....
(Solved)
A trader deals in two types of rice; rice A and rice B. Type Arice costs Kshs. 400 per bag and type B costs Kshs. 350 per bag. The trader mixes 30 bags of type A with 50 bags of type B. If he sells the mixture at a profit of 20%, calculate the selling price of one bag of the mixture.
Date posted:
August 23, 2019
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Answers (1)
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Three boys and three girls sit in a row of six seats. Find the probability that: i) the 3 girls sit together .ii) the girls and the...
(Solved)
Three boys and three girls sit in a row of six seats. Find the probability that:
i) the 3 girls sit together.
ii) the girls and the boys sit in alternate seats.
Date posted:
August 23, 2019
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Answers (1)
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Given the quadratic function y = 3x2 + 4x - 1
(Solved)
Given the quadratic function y = 3x2 + 4x - 1
a) Complete the table below for values of x ranging - 4 < x < 3.

b) Using the grid provided draw the graph of y = 3x2 + 4x – 2 for -4 < x < 3
c) Using the graph, find the solution to the equations.
i) 3x2 + 4x – 2 = 0
ii) 3x2 + 7x + 2 = 0
Date posted:
August 23, 2019
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Answers (1)
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Without using a set square or a protractor construct: a) Triangle ABC such that AB = 8cm, BC = 6cm and
(Solved)
Without using a set square or a protractor construct:
a) Triangle ABC such that AB = 8cm, BC = 6cm and angle ABC= 300
b) Measure the length AC
c) Draw a circle that touches sides AB, BC and AC
d) Measure the radius of the circle.
e) Hence or otherwise calculate the area in the triangle but not in the circle.
Date posted:
August 23, 2019
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Answers (1)
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In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cmand CB = 5cm.
(Solved)
In the figure below, AC is an arc of a circle centre D. Angle ADC = 600, AD = DC = 7cm and
CB = 5cm.

Calculate:
a) The area of triangle ADB
b) The area of the shaded region.
Date posted:
August 23, 2019
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Answers (1)
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By striding 60cm or by striding 64cm, John takes an exact number of steps to crossa road. Find the least width of the road in...
(Solved)
By striding 60cm or by striding 64cm, John takes an exact number of steps to cross a road. Find the least width of the road in metres.
Date posted:
August 23, 2019
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Answers (1)
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In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.
(Solved)
In the circle O is the centre, angle DAB = 870. Arc AB is twice arc AD. Calculate Angle AOB.

Date posted:
August 22, 2019
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Answers (1)
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Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b
(Solved)
Given that a = 1.2, b = 0.02 and c = 0.2, express ac + b in the form
where m and n are integers.
Date posted:
August 22, 2019
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Answers (1)