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The ratio of goats to cows in a farm is 2:5 while the ratio of sheep to cows is 3:4. If there are 15 sheep, how many animals are there in the farm.
Date posted:
November 5, 2019
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Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V = 3t2 -15t + 18.
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance traveled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.
Date posted:
November 5, 2019
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The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
a) Draw a tree diagram to represent this information.
b) Use the tree diagram to find:-
i) The probability that we will lose both games.
ii) The probability that we will win only one game.
iii) The probability that we will host and lose both games.
Date posted:
November 5, 2019
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The table below shows income tax rates
a) Mr. Juma claiming tax relief of Ksh 1056 per month discovered that a total of Ksh 18500 is deducted from his total earnings in form of income tax. Calculate Mr. Juma’s taxable income in Ksh per month.
b) Mr. Juma other deductions include:
5% of basic salary as cooperative shares
2% of basic salary as WCPS
Insurance policy Ksh 2800
Co-operative shares Ksh 1500
Given that his taxable allowances is Ksh 28400, calculate his net pay.
Date posted:
November 5, 2019
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The mass in kilograms of 9 sheep in a pen were 13, 8, 16, 17, 19, 20, 15, 14 and 11.
Determine the quartile deviation of the data.
Date posted:
November 5, 2019
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A DVD player whose cash price is sh. 15000 is bought on hire purchase by paying a deposit of sh 3000 and 12 monthly installments of sh. 1250 each. Calculate the rate of interest per annum.
Date posted:
November 5, 2019
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A house is to be sold either on a cash basis or through a loan. The cash price is Kshs. 750,000. The loan conditions are as follows: there is to be a down payment of 10% of the cash price and the rest of the money to be paid through a loan of 10% per annum compound interest.
A customer decided to buy the house through a loan.
a) i) Calculate the amount of money loaned to the customer.
ii) The customer paid the loan in 3 years.
Calculate the total amount paid for the house.
b) Find how long the customer would have taken to fully pay for the house if she paid a total of Kshs 891,750.
Date posted:
November 5, 2019
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A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres.
b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted.
Find the number of complete days a full tank of water would last the family.
c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family.
Date posted:
November 5, 2019
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In the figure below the lines AB and CD are parallel. AD and CB intersect at X. AB = 6cm, CD = 9cm and DX = 3 cm.
a) Calculate the length of AX.
b) The area of ΔABX is 6cm2. Calculate the area of ΔCXD.
Date posted:
November 5, 2019
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Given Sin (90 – a) = 1/2 , find without using tables or calculators the value of Cos a.
Date posted:
November 5, 2019
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Use logarithms to evaluate
Date posted:
November 5, 2019
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The minimum frequency of light that causes photoelectric emission from a metal surface is 6.4 x 1014Hz . When the surface is irradiated with a certain source , electrons are dislodged With a speed of 7.2 x 105m/s.Given that h = 6.63 x 10-34Js and m = 9.11 x 10-31kg , calculate
i) The work function of the metal
ii) The maximum kinetic energy of the photoelectrons
Date posted:
November 4, 2019
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Draw the electric field pattern between the positive point charge and the negatively charged plate in figure below.
Date posted:
November 4, 2019
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Draw labeled diagram of a simple a.c generator.
Date posted:
November 4, 2019
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In an experiment to determine the focal length of a concave mirror, magnification M was determined for various image distance V. The figure below shows a graph of magnification M against image distance V for the results from the experiment.
Use the graph to determine:
i) The focal length ,f of the mirror, given that M= 1 - v/f
ii) The image distance when the magnification is 0.6.
Date posted:
November 4, 2019
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State what happens to the wavelength of a water wave when it moves from shallow to deep water.
Date posted:
November 4, 2019
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Draw a circuit diagram showing how a single diode can be used in half wave rectification.
Date posted:
November 4, 2019
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The table below shows data collected during investigation of Hooke’s law.
a). Complete the table.
b). Using the data in the table, plot a graph of force, F against extension, e in the attached gird below.
c). On the graph, indicate X, at the elastic limit
d). From the graph, determine the elastic spring constant for the material.
Date posted:
November 4, 2019
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What is the difference between uniform linear motion and uniform circular motion?
Date posted:
November 4, 2019
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The figure below shows a 4m long uniform metal rod balanced horizontally when two forces act on it as shown.
Determine the value of F given that the rod weighs 8 N.
Date posted:
November 4, 2019
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The temperature of water in a measuring cylinder is raised from 0oC to 15oC. Sketch the graph of volume against temperature.
Date posted:
November 4, 2019
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The micrometer screw gauge shown in figure below had a zero error of – 0.05 mm and was used to measure the diameter of a steel ball bearing.
Find the radius of the ball bearing whose diameter is recorded by the instrument.
Date posted:
November 4, 2019
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A bus left town A at 5:20am to town B 610km away at an average speed of 60km/hr. After 3 hrs 10 minutes, a van left town B and travelled towards A at an average speed of 80km/hr.
(a) (i) At what time did they meet
(ii) How far from A was the meeting point
b) A car left town B at 9:00am and travelled towards A at an average speed of 100km/hr.
Determine
(i) The time the car caught up with the van
(ii) The distance the car travelled to catch up with the van.
Date posted:
November 2, 2019
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A natural polymer is made up of the monomer:
(a) Write the structural formula of the repeat unit of the polymer
(b) When 5.0 x 10-5 moles of the polymer were hydrolysed, 0.515g of the monomer were obtained.
Determine the number of the monomer molecules in this polymer.
(C = 12; H = 1; N = 14; O =16)
Date posted:
November 1, 2019
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Sodium octadecanoate has a chemical formula CH3(CH2)6 COO-Na+, which is used as soap.
Explain why a lot of soap is needed when washing with hard water
Date posted:
November 1, 2019
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Write chemical equation to represent the effect of heat on ammonium carbonate
Date posted:
November 1, 2019
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The structure of the monomer phenyl ethene is given below:-
a) Give the structure of the polymer formed when four of the monomers are added together
b) Give the name of the polymer formed in (a) above
Date posted:
November 1, 2019
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Juma needs to import a car from Japan whose cost is US $ 5000 outside Kenya. He intends to buy the car through an agent who deals in Japanese yen. The agent will charge him 20% commission on the price of the car and a further 80325 Japanese yen for shipment of the car. How many Kshs will he need to send to the agent to get the car given that
1 US $ = 105.00 Japanese yen
1 US $ = KShs 63.00
Date posted:
November 1, 2019
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The following table shows some properties of period three elements and their chlorides. Study it and answer the questions that follow.
a)Complete the table by filling in the formula of the missing chlorides.
b)In terms of structure and bonding, explain the following observations:
i)The melting point of aluminium is higher than that of sodium.
ii)The melting point of chlorine is lower than that of sulphur.
iii)The melting point of aluminium chloride is lower than that of magnesium chloride.
c)Sodium chloride dissolves in water to form a neutral solution but aluminium chloride dissolves
to form an acidic solution. Explain this observation.
d)Generally, the first ionization energy increases across the period. Explain
e)Iron (III) oxide was found to be contaminated with magnesium chloride. Describe how a pure dry sample of iron (III) oxide can be obtained.
Date posted:
November 1, 2019
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A current of 3A was passed through fused aluminium oxide for 10minutes. Calculate the mass of Aluminium obtained at one electrode (Al = 27.0, IF = 96500C)
Date posted:
November 1, 2019