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Solve for x given logx3 + log3X = 2.
Date posted:
November 2, 2019
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y varies partly as the square root of x and partly varies inversely as the cube of x.
When y=2, x=4 and when y=3, x=1. Express y in terms of x.
Date posted:
November 2, 2019
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A point T divides line AB externally in the ratio 8:2. Given that the position vectors of A and B are 3i - 4l + k and -1 +j -3k respectively. Find the position vector of T in unit vector form.
Date posted:
November 2, 2019
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Solve for x given that 2 sin x = tax x for 00 ≤ x ≤ 3600
Date posted:
November 2, 2019
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Given sin 
find cos (90 - theta) without using mathematical tables or calculators.
Date posted:
November 2, 2019
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Make P the subject of the formula
Date posted:
November 2, 2019
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The figure below shows a transverse pulley systems.
The wheels have radius 15cm and 10cm respectively. If O1X=30cm and XO2 =20cm
Calculate:
(a) AO1C
(b) DO2F
(c) Length AD to 4 decimal places
(d) Length BE
(e) Length of arc ABC and BEF.
(f) The length of the belt
Date posted:
November 2, 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 triangle has vertices P(1,2) Q(3,5) and R(5,3)
a) Draw triangle PQR and its image P1Q1R1 under a translation vector 
b) Draw triangle PII QII RII , the image of triangle PI QI RI under a rotation of half turn about the origin
c) Triangle PIII QIII RIII is the image of triangle PII QII RII under reflection in the line y=x.
Draw triangle PIII QIII RIII and state its co-ordinates.
d) Triangle PIII QIII RIII is reflected in the line x=0. State the co-ordinates of its image
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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Explain the environmental effects of burning plastics in air as a disposal method
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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Find the equation of the normal to the curve y=x2 – 4x + 5 at the point (4,5)
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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ABCD is a parallelogram. DAB=124o. The bisectors of angle BCD and angle ADC meet at x. Find angle DXC (Reflex)
Date posted:
November 1, 2019
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Find the inequalities that defines the region marked R in the diagram below.
Date posted:
November 1, 2019
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(a) Construct triangle PQR where PQ = 6cm, QR = 9cm and PR = 8cm.
(b)Drop a perpendicular from P to meet QR at M. Measure PM hence calculate the area of
triangle PQR
Date posted:
November 1, 2019
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Evaluate 
Date posted:
November 1, 2019
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Simplify the expression 
and hence solve the equation 
Date posted:
November 1, 2019
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In the extraction of aluminium form its ore by the use of electrolysis, explain the following observations:-
(i) the graphite anode is replaced from time to time
(ii) the steel tank which can also serve as an electrode is also lined with graphite cathode
Date posted:
November 1, 2019
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Aluminum metal is mainly extruded from molten Bauxite by electrolysis.
a) Name the main impurity in this ore.
b) Briefly describe how the impurity is removed from the ore before electrolysis process.
Date posted:
November 1, 2019
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Name the following compounds.
Date posted:
November 1, 2019
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One of the steps in the extraction of Zinc metal from its ore is roasting of the ore in excess
oxygen. Write equations for the reactions that take place when the ore in (a) above is roasted
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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The diagram below is a simplified apparatus for extraction of sodium. Study it and answer the
equations that follow:-
(a) Which substances come out at:- P & Q
(b) What is the role of the diaphragm
(c) Write the equation of the reaction forming sodium
Date posted:
November 1, 2019
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Heated iron forms iron (III) chloride when reacted with chlorine and iron (II) chloride when reacted with hydrogen chloride gas. Explain this difference.
Date posted:
November 1, 2019
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The table below shows some properties of substances I, J, K and L.
Identify the substances with:
a)A metallic bond
b)A covalent bond
c)An ionic bond
Date posted:
November 1, 2019
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Nitrogen and oxygen gases react according to the equation given below;
a)Explain the effect of increasing temperature on the yield of nitrogen (II) oxide.
b)If 200cm3 of nitrogen were used, determine the volume of nitrogen (II) oxide gas produced.
Date posted:
November 1, 2019