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- A tank with hemispherical dome-shaped base of radius 14cm was filled with water up to the top (tangent) of the hemispherical dome shape base as...(Solved)
A tank with hemispherical dome-shaped base of radius 14cm was filled with water up to the top (tangent) of the hemispherical dome shape base as shown below.
a) The surface area of the tank in contact with the water.
b) The volume of water in litres.
c) A feeder pipe of diameter 14cm supplies water to this empty tank at the rate of 40cm3 /sec.
Calculate the time taken for the tank to be filled completely in hours.
Date posted: August 7, 2019. Answers (1)
- In the figure below, O is the centre of the circle. Angle AEB = 500, angle EBC = 800 and angle ECD = 300. (Solved)
In the figure below, O is the centre of the circle. Angle AEB = 500, angle EBC = 800 and angle ECD = 300.
Giving reasons, calculate:
i) Angle CDE
ii) Angle DFE
iii) Obtuse Angle COE
iv) Angle ADE
Date posted: August 7, 2019. Answers (1)
- The volumes of two similar solids are 800cm3 and 2700cm3. If the surface area of the larger one is 2160cm2, find the surface area of...(Solved)
The volumes of two similar solids are 800cm3 and 2700cm3. If the surface area of the larger one is 2160cm2, find the surface area of the smaller figure.
Date posted: August 7, 2019. Answers (1)
- Three years ago Juma was four times as old as his son Peter. In five years time the sum of their ages
will be 56. Find...(Solved)
Three years ago Juma was four times as old as his son Peter. In five years time the sum of their ages
will be 56. Find their present ages.
Date posted: August 7, 2019. Answers (1)
- During a school assembly one Friday, three scouts, Morgan, Boris and Zeddy each stood 6m away from the foot of a vertical flag post 6m...(Solved)
During a school assembly one Friday, three scouts, Morgan, Boris and Zeddy each stood 6m away from the foot of a vertical flag post 6m high. Their bearings from the flag post were 600, 1100 and 2200 respectively.
a) Draw a sketch of their relative positions.
b) Using a scale of 1cm: 1m make an accurate drawing of their positions.
c) Find the bearing of:
i) Morgan from Zeddy
ii) Boris from Morgan
d) Find the distance of Zeddy from Boris.
e) Find the angle of elevation of the top of the flag post from:
i) Morgan
ii) Boris
iii) Zeddy
Date posted: August 7, 2019. Answers (1)
- Without using tables or calculators, find the value of t in(Solved)
Without using tables or calculators, find the value of t in
Date posted: August 7, 2019. Answers (1)
- The table below shows marks scored by students in a maths test.(Solved)
The table below shows marks scored by students in a maths test.
a) Prepare a frequency distribution table from the above table.
b) i) State the modal class.
ii) Calculate the mean and the median.
c) Find the mark if the percentage pass was 
Date posted: August 7, 2019. Answers (1)
- The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t...(Solved)
The distance from a fixed point of a particle in motion at any time t seconds is given by
S = t3 – 5/2t2 + 2t + 5 metres
(a) Acceleration after t seconds
(b) Velocity when acceleration is zero.
Date posted: August 7, 2019. Answers (1)
- Determine the quartile deviation of the set of numbers below.
8, 2, 3, 7, 5, 11, 2, 6, 9, 4(Solved)
Determine the quartile deviation of the set of numbers below.
8, 2, 3, 7, 5, 11, 2, 6, 9, 4
Date posted: August 7, 2019. Answers (1)
- A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4)....(Solved)
A Rhombus has its vertices as PQRS. The co-ordinates of the vertex P and Q of the rhombus are P(-1, 3) and Q (2, 4). The diagonal QS and PR meet at point M. Given that the equation of the line PR is y = x + 4.
a) Find the equation of the diagonal QS.
b) Find the co-ordinates of the midpoint M of QS.
c) Find the co-ordinates of the points R and S.
d) Plot on the grid provided the rhombus PQRS.
Date posted: August 7, 2019. Answers (1)
- Given that Sin ?= 2/3 and ? is an acute angle, find without using tables or calculators
(a) tan ?, giving your answer in surd form....(Solved)
Given that Sin θ= 2/3 and θ is an acute angle, find without using tables or calculators
(a) tan θ, giving your answer in surd form.
(b) Cos (90 - θ)
Date posted: August 7, 2019. Answers (1)
- Rates of tax in operation in 2009 are as given in the table below:-(Solved)
Rates of tax in operation in 2009 are as given in the table below:-
a) Mr. Rono pays Sh. 5400 as P.A.Y.E monthly. He was entitled to house allowance of Kshs. 9000pm and getting a monthly tax relief of Sh. 1093. Calculate his monthly basic salary.
b) Mr. Rono’s other deduction per month were:
-Co-operation society contribution Sh. 2000.
-Loan repayment Sh. 2500
Calculate his Net salary per month
Date posted: August 7, 2019. Answers (1)
- An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm...(Solved)
An artisan has 63kg of metal of density 7000kg/m3. He intends to use it to make a rectangular pipe with external dimensions 12cm by 15cm and internal dimensions 10cm by 12 cm. Calculate the length of the pipe in metres.
Date posted: August 7, 2019. Answers (1)
- Simplify completely.(Solved)
Simplify completely.
Date posted: August 7, 2019. Answers (1)
- Evaluate without using a calculator(Solved)
Evaluate without using a calculator
Date posted: August 7, 2019. Answers (1)
- Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business.(Solved)
Two business men Achaki and Mkazi contributed Ksh. 128, 000 and Ksh. 112,000 respectively to start a business. They agreed to share the profits as follows;
30% shared equally
30% shared in ratio of contributors
40% retained for running business.
Their profit for the year 2008 was Ksh. 86, 400
Calculate.
a) The amount shared equally.
b) The total amount received by each partner
c) The amount retained for running the business.
Date posted: August 7, 2019. Answers (1)
- A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill...(Solved)
A cylindrical water tank can be filled to a depth of 2.1metres by a pipe P in 2 hrs. Pipe Q takes 7hrs to fill the tank to the same depth. Pipe R can empty this amount of water in 6hrs.
(a) i) Starting with an empty tank, P runs alone for one hour. How many centimeters deep will the water in the tank be?
ii) Having run for an hour in (i) above, Pipe P continues to run for additional 20 minutes after which it’s turned off. The remaining two pipes are left open with pipe R left to run for 4 hours while pipe Q runs for 2 hours. What will the depth of water in the tank be?
b) If the tank was initially 6.5m full and the three pipes are open, how long will it take to fill the tank such that only a third of the initial height of the tank remains empty?
Date posted: August 7, 2019. Answers (1)
- Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0....(Solved)
Using a ruler and a pair of compasses only, draw a parallelogram ABCD in which AB = 8cm, BC = 6cm and 0. Drop a perpendicular from D to meet AB at N. Determine the length DN.
Date posted: August 7, 2019. Answers (1)
- The figure below shows a solid made by placing two equal regular tetrahedra.(Solved)
The figure below shows a solid made by placing two equal regular tetrahedra.
a) Draw the net of the solid.
b) If each face is an equilateral triangle of side 5cm. Find the surface area of the solid to 4 s.f
Date posted: August 7, 2019. Answers (1)
- Find the integral values of x which satisfy the following inequalities(Solved)
Find the integral values of x which satisfy the following inequalities
2 (2 - x) < 4x – 9 < x + 11
Date posted: August 7, 2019. Answers (1)