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- The figure below shows a load of 50N being raised by pulling it along an inclined plane of length 2.0m.(Solved)
The figure below shows a load of 50N being raised by pulling it along an inclined plane of length 2.0m.
Determine
i. The work done by the 22N force
ii. The work done against the load
iii. The efficiency of the system
Date posted: September 6, 2019.
- Convert 0.6331 into a fraction without using a calculator.(Solved)
Convert
into a fraction without using a calculator
Date posted: September 6, 2019.
- Evaluate without using a calculator or Mathematical tables.(Solved)
Evaluate without using a calculator or Mathematical tables.
![q26920191023.png](/questions/uploads/q26920191023.png)
Date posted: September 6, 2019.
- Methanol is manufactured from carbon (IV) oxide and hydrogen gas according to the equation.(Solved)
Methanol is manufactured from carbon (IV) oxide and hydrogen gas according to the equation.
The reaction is carried out in the presence of a chromium catalyst at 400ºC and 30Kpa under these conditions, an equilibrium is reached when 2% of the carbon (IV) oxide is converted to methanol.
(i) Explain how the yield of methanol would be affected if; the manufacturing process above is carried out at, 200ºC and a pressure of 30Kpa.
(ii) Using a more efficient catalyst.
Date posted: September 6, 2019.
- The figure below shows a buoy of capacity 40 litres and mass 10kg. It is held in position in sea water of
density 1.04g/cm3 by a...(Solved)
The figure below shows a buoy of capacity 40 litres and mass 10kg. It is held in position in sea water of
density 1.04g/cm3 by a light cable fixed to the bottom so that ¾ of its volume is below the water surface.
Determine the tension in the cable.
Date posted: September 6, 2019.
- If three numbers 36, 54 and x have a GCD of 6 and LCM of 216.(Solved)
If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. Find the least value of x
Date posted: September 6, 2019.
- Find the difference between the GCD and the LCM of 36 and 54.(Solved)
Find the difference between the GCD and the LCM of 36 and 54.
Date posted: September 6, 2019.
- The figure below shows a block with a graduated side and dimensions 4cm by 16cm, just about to be lowered
into a liquid in an overflow...(Solved)
The figure below shows a block with a graduated side and dimensions 4cm by 16cm, just about to be lowered
into a liquid in an overflow can.
During an experiment with this set-up, the following was recorded:
- The block floated with three-quarter of it submerged.
- Initial reading of balance = 0g
- Final reading of balance = 154g
Use the information to determine the density of
(i) the block
(ii) the liquid
Date posted: September 6, 2019.
- Study the flow diagram below and answer the questions that follow.(Solved)
Study the flow diagram below and answer the questions that follow.
(a) Give the names of the two ores that can be used in the above process in Stage A.
(b) What process takes place in Stage B?
(c) Give the equation for the formation of the slag that is tapped of in Stage D.
What is the name of the slag?
(d) What are the names of the products formed in Stage G?
(e) What are the main impurities that are contained in the copper obtained in Stage G.
(f) Draw a well labelled diagram of the set-up of apparatus that would be used to purify the copper obtained in Stage G.
Date posted: September 6, 2019.
- A bicycle wheel makes 300 revolutions per minute. Calculate the angular velocity of the wheel.(Solved)
A bicycle wheel makes 300 revolutions per minute. Calculate the angular velocity of the wheel.
Date posted: September 6, 2019.
- The figure below shows two masses 0.1kg and 2kg connected by a string through a hole on a smooth horizontal surface.The 0.1kg rotates in a...(Solved)
The figure below shows two masses 0.1kg and 2kg connected by a string through a hole on a smooth horizontal surface.
The 0.1kg rotates in a horizontal circle of radius 3cm. Calculate the angular velocity of the 0.1kg mass, when the system is in equilibrium.
Date posted: September 6, 2019.
- The standard reduction potentials for five half cells are shown in the table below.
Study it and answer the questions that follow. The letters do not...(Solved)
The standard reduction potentials for five half cells are shown in the table below.
Study it and answer the questions that follow. The letters do not represent the actual symbols of the elements.
(i) With a reason identify the strongest reducing agent.
(ii) Which element is likely to be hydrogen. Explain.
(iii) Write an equation for the cell formed when Q and Y half cells are joined.
(iv) Calculate the e.m.f of the cell in (iii) above.
Date posted: September 6, 2019.
- Three insoluble powders A, B and C of densities dA, dB and dC, such that dA>dB>dC, are mixed and put into a container.The container is...(Solved)
Three insoluble powders A, B and C of densities dA, dB and dC, such that dA>dB>dC, are mixed and put into a container.The container is then whirled in a horizontal circle as shown in the figure below.
(i) Label on the figure, the positions of the powders after some time.
(ii) Give a reason for your answer in (i)
Date posted: September 6, 2019.
- A ball slides off a horizontal table 4m high with a velocity of 12m/s, find;
(i) the time it takes to hit the floor. (g =...(Solved)
A ball slides off a horizontal table 4m high with a velocity of 12m/s, find;
(i) the time it takes to hit the floor. (g = 10ms-2)
(ii) the range
Date posted: September 6, 2019.
- The solubilities of two salts D and E are given in the following table in each case the solubility is expressed as grammes per 100g...(Solved)
The solubilities of two salts D and E are given in the following table in each case the solubility is expressed as grammes per 100g of water.
(a) Using these data plot solubility curves for D and E on the same grid.
(b) Use your graph to answer the following questions:
(i) At what temperature are the solubilities of the two salts equal?
(ii) Estimate the solubility of salt D at OºC.
(iii) A saturated solution of E in 50g of water at 25ºC was evaporated to dryness. What was the mass of the residue?
(iv) Two separate 100g of water are saturated at 75ºC, one with D and the other with E. What is the difference in mass between
the two solutions?
(v) The saturated solution obtained were each cooled to 20ºC.
I Calculate the total mass of the two salts precipitated.
II Calculate the mass of each salt dissolved at saturation in 20g of water at 20ºC.
Date posted: September 6, 2019.
- A car decelerates uniformly from a velocity of 20m/s to rest in 4 seconds. It takes 4 seconds to reverse with uniform acceleration to its...(Solved)
A car decelerates uniformly from a velocity of 20m/s to rest in 4 seconds. It takes 4 seconds to reverse with uniform acceleration to its original starting point.
(i) Sketch a velocity time graph for the motion of the car.
(ii) Use your sketch in c (i) to determine the total displacement of the car.
Date posted: September 6, 2019.
- The displacement S metres of a body moving along a straight line after t seconds is given by(Solved)
The displacement S metres of a body moving along a straight line after t seconds is given by
(a) Find its initial acceleration.
(b) Calculate:-
(i) The time when the body was momentarily at rest.
(ii) Its displacement by the time it comes to rest momentarily
(c) Calculate the maximum velocity attained
Date posted: September 6, 2019.
- The figure below shows the displacement – time graph of the motion of a particle.
State the nature of the motion of the particle between?
(i)...(Solved)
The figure below shows the displacement – time graph of the motion of a particle.
State the nature of the motion of the particle between?
(i) AB
(ii) BC
(iii CD
Date posted: September 6, 2019.
- In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.(Solved)
In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.
(b) Given further that AF = tAD and OF = hOE where t and h are scalars, find the values of t and h
(c) Show that the points O, F and E are collinear
Date posted: September 6, 2019.
- State the physical quantity represented by the gradient of a displacement – time graph(Solved)
State the physical quantity represented by the gradient of a displacement – time graph
Date posted: September 6, 2019.
- A substance of mass 2kg and specific heat capacity 400J/kg/k initially at 800C is immersed in water at 190C. If the final temperature of the...(Solved)
A substance of mass 2kg and specific heat capacity 400J/kg/k initially at 800C is immersed in water at 190C. If the final temperature of the mixture is 200C. Calculate the mass of water. (Specific heat capacity of water = 4200J/kg/k)
Date posted: September 6, 2019.
- The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.(Solved)
The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.
The diameter of the hemispherical top is 70cm and is equal to the diameter of the top of the frustum. The
frustum has a base diameter of 28cm and a slant height of 60cm.
(a) Calculate the area of the hemispherical surface.
(b) Calculate the slant height of the cone from which the frustum was cut.
(c) Calculate the total surface area of the model
Date posted: September 6, 2019.
- The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 400 and angle PAQ =...(Solved)
The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 400 and angle PAQ = 700, and PA = AQ = 8cm.
Use the diagram to calculate to two d.p
(a) The length PQ
(b) The length PB
(c) Area of minor segment of circle centre A
(d) Area of minor segment of circle centre B
(e) The area of shaded region.
Date posted: September 6, 2019.
- 1g of element T was completely converted to its chloride, TCl2 The mass of the chloride formed was 3.96g. Calculate the relative atomic mass of...(Solved)
1g of element T was completely converted to its chloride, TCl2 The mass of the chloride formed was 3.96g. Calculate the relative atomic mass of element T. (Cl = 35.5).
Date posted: September 6, 2019.
- A force of 20N is used to stretch a spring through 5cm. Calculate the elastic potential energy stored in the spring.(Solved)
A force of 20N is used to stretch a spring through 5cm. Calculate the elastic potential energy stored in the spring.
Date posted: September 6, 2019.
- Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively(Solved)
Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of a matatu plying Mbumbuni – Machakos route. The matatu carries 14
passengers with each paying Sh. 250. The matatu makes two round trips each day and ever full. Each day
Sh. 6000 is used to cover running costs and wages.
(a) Calculate their net profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of KSh.10, 000. Calculate their monthly profit in June.
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution. Calculate Muthoka’s share in the month of July
(d) The matatu developed mechanical problems and they decided to sell it through an agent who charged a commission of 5% on selling price. Each partner received KSh. 475,000 from the agent after he had taken his commission. Determine the price at which the agent sold the matatu.
Date posted: September 6, 2019.
- In an experiment to prepare hydrogen gas using magnesium ribbon and dilute hydrochloric acid, a student plotted volume of hydrogen gas against time as shown...(Solved)
In an experiment to prepare hydrogen gas using magnesium ribbon and dilute hydrochloric acid, a student plotted volume of hydrogen gas against time as shown in the sketch below.
(i) On the same axes, sketch the curve that would be obtained if a few crystals of copper (II) sulphate are added and label it curve C.
(ii) What would be the function of copper (II) sulphate in the reaction?
Date posted: September 6, 2019.
- A pipe of radius 3mm is connected to another pipe of radius 9mm. If water flows in the water pipe at a speed of 2m/s,...(Solved)
A pipe of radius 3mm is connected to another pipe of radius 9mm. If water flows in the water pipe at a speed of 2m/s, what is the speed in the narrower pipe?
Date posted: September 6, 2019.
- In the figure below O is the centre of circle PQRS.(Solved)
In the figure below O is the centre of circle PQRS. angle PTS = 560 and angle PQS = 280 and TPQ is a straight line
Find:
(a) angle TSP
(b) angle PRQ
Date posted: September 6, 2019.
- Mutua bought 8 pairs of trousers and six shirts at Sh. 4160.(Solved)
Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. Had he bought twice as many shirts and half
as many trousers, he would have saved Sh. 160. Find the cost of each item.
Date posted: September 6, 2019.