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The second, third and fourteenth terms of an Arithmetic progression are the three consecutive terms of a geometric progression. The 10th term of the arithmetic progression is 18. Find;
a) The first term and the common difference of the progression.
b) The sum of the first 10 terms of the progression.
c) The sixth term of the a.p
Date posted:
September 18, 2019
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The diagram below represents a food web from lake Nakuru National Park.
a) i) Identify the organism with the largest biomass.
ii) Give a reason for your answer in a (i) above.
b) From the food web, isolate a food chain ending with snakes as tertiary consumers.
c) i) Name any two organisms not shown in the food web but would be present in the ecosystem.
ii) What is the role of the organisms stated in c (i) above?
d) From the food web, snakes and leopards feed on rabbits. What name is given to this kind of competition?
e) From the food web, name an organism that may be both a secondary and a tertiary consumer.
Date posted:
September 18, 2019
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Given the following reagents; solid sodium carbonate, solid lead (II) nitrate, water. Describe how a sample of lead (II) carbonate can be prepared in the laboratory.
Date posted:
September 18, 2019
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Convert each of the following numbers:
i. 110.1012 to decimal
ii. 12.687510 to binary
iii. Subtract 110.012 from 11001.01012
iv.Using seven-bit twos compliment, perform the following binary arithmetic leaving the answer in binary notation. 11012 - 1001012
Date posted:
September 18, 2019
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Study the flowchart below and answer the questions that follow.
(i) State the main type of control structure used in the flowchart.
(ii). Dry run the flowchart and give the expected output.
(iii) What will be the value of product when printed in the following flow chart? Show how you arrive at your answer.
(b). Explain what happens when the expression A = A+1 is changed to A = A-1
c) Give two benefits of structured programming.
Date posted:
September 18, 2019
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Use binomial expansion to expand and simplify (1-3x)6 upto term in x3.
Hence approximate the value of (0.97)6 correct to 4 significant figures.
Date posted:
September 18, 2019
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Two elements X and Y are represented as shown below
17X and 20Y
i) Write the formula of the compound formed when X and Y react.
ii) State the family name to which element X belongs.
iii) Element Y has a mass number of 40, how many neutrons are present in its nucleus?
Date posted:
September 18, 2019
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Find the compound interest on sh. 21000 in 5years at 15% p.a
Date posted:
September 18, 2019
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Ethanol has a molar heat of combustion of -1360kJmol-1. Calculate the heating value of ethanol. (C=12,H=1,O=16
Date posted:
September 18, 2019
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In an experiment two equal volumes of solution L and M were placed into visking tubing. The visking tubing was suspended into beakers containing equal volumes of solutions K. The set –up is as shown in the diagram A and B. The set-up was allowed to stand for 45 minutes and results are as shown in the diagrams.
(a) Name the process that was being demonstrated.
(b) Explain the results that were obtained at the end of the experiment in
(i) Set-up A.
(ii) Set up B.
Date posted:
September 18, 2019
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A volume of 10cm3 of ethene gas (C2H4) was exploded with 50cm3 of oxygen.
(i) Write the equation of the reaction for the combustion of ethene.
(ii) Calculate the volume of gaseous mixture.
Date posted:
September 18, 2019
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A bag A has 5 green marbles, 9 red marbles and Y blue marbles, all identical except for colour. The total number of marbles in the bag is two more than double the number of blue marbles.
Three marbles are then randomly picked one at a time from bag A and placed in bag B.
(a) Find the value of Y.
(b) Find the probability that;
(i) The first two marbles picked are green
(ii) All the three marbles are of different colour
(iii) At least one of the three marbles placed in bag B are blue.
(iv) At most two marbles are red.
Date posted:
September 18, 2019
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During the electrolysis, a current of 2 amperes was passed through the copper (II) sulphate solution for 4 hours. Calculate the volume of the gas produced at the anode. (1 F= 96500 C, MGV = 24000cm3).
Date posted:
September 18, 2019
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The solubility of iron (II) sulphate at 22oC is 15.65g/100g of water. Calculate the mass of iron (II) sulphate crystals in 90g of saturated iron (II) sulphate solution.
Date posted:
September 18, 2019
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A farmer has two tractors, A and B. The tractors working together can plough a farm in 2½ hours. One day the tractors started to plough the farm together. After one hour ten minutes, tractor B broke down but A continued alone and completed the job after a further four hours.
(a) The fraction of the job done by tractor A after tractor B broke down.
(b) The time each tractor working alone would have taken to plough the farm.
Date posted:
September 18, 2019
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A two-digit positive number is such that the sum of its digits is nine. When the digits are reversed,the new number formed exceeds the original number by 27. Find the original number.
Date posted:
September 18, 2019
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Pentanoic acid reacts with butan – 1 – 0l to form an organic compound.
(i) Write an equation to show the above reaction.
(ii) What is the name given to the above type of reaction?
(iii) A few drops of a certain catalyst must be added to the mixture to increase the rate of the reaction.
(a) Name the catalyst.
(b) Explain the role of the catalyst in the above reaction.
Date posted:
September 18, 2019
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Name two regions in human body that displays counter-current flow system.
Date posted:
September 17, 2019
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State the type of placentation found in the following fruits.
i) Pawpaw
ii) Orange
iii) Bean pod
Date posted:
September 17, 2019
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After an ecological study of feeding relationship students constructed the food web below.
a) Name the process through which energy from the sun is incorporated into the food web.
b) State the mode of feeding of the birds in the food web.
c) Name two ecosystems in which the organisms in the food web live.
d) From the information in the food web, construct a food chain with the large bird as a quaternary consumer.
e) What would happen to the organism in the food web if bird N migrated?
f) Not all the energy from one trophic level is available to the next level. Explain.
g) i) Two organisms which play a role in the ecosystem are not included in the food web. Name them.
ii) State the role played by the organisms named in g (i) above.
h) i) State three human activities that would affect the ecosystems.
Date posted:
September 17, 2019
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Calculate the interest on Ksh. 10,000 invested for 1½ years at 12% p.a compounded quarterly. (Give your answer to the nearest 50cts)
Date posted:
September 17, 2019
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The diagram shows a set up to investigate anaerobic respiration in germinating bean seed.
a) What is the purpose of the pyrogallic acid?
b) State the importance of the water bath in the experiment.
c) Write a word equation for anaerobic respiration taking place in the germinating beans.
d) Explain why plants can only respire anaerobically for a short period of time.
e) What would be product if the process was taking place in animal muscle?
f) Distinguish between obligate and facultative Anaerobes.
g) Name the site for anaerobic respiration in a cell.
Date posted:
September 17, 2019
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Leaves are the organs of photosynthesis. The following diagram shows what happens in a plant leaf during photosynthesis.
a) Give two ways in which leaves are adapted to absorb light.
b) Name the gases labeled X and Y
c) Explain why it is an advantage for plant to store carbohydrates in form of starch rather than as sugar.
d) Describe what happens during dark stage of photosynthesis.
Date posted:
September 17, 2019
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The figure below is a sketch of the curve whose equation is y=x2 + x +5, it cuts the line y =11 at the points P and Q
(a)Find the area bounded by the curve y = x2+ x + 5 and the line y = 11 ( shaded) using the
trapezium rule with 5 strips.
(b)Calculate the difference in area if the mid-ordinate rule with 5 ordinates was used instead of the
trapezium rule.
(c)find the exact area in (a) above using integration.
Date posted:
September 17, 2019
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Study the diagram shown below and answer the questions that follow.
a. i) Name the phylum to which the specimen belongs.
ii) State the class to which the organism belongs and give two reasons.
b. What term is used to describe the body shape of the organism in photograph/ diagram below.
c. i) Name the parts labeled A and B.
ii) State the function of the parts labeled C and D.
d. Using observable features from the diagram, state two adaptations of the organisms to locomotion in water.
Date posted:
September 17, 2019
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The table below shows income tax rates.
Omari’s monthly taxable income is Kshs. 24200
(a) Calculate the tax charged on Omari’s monthly earnings.
(b) Omari is entitled to the following tax relief of 15% of the premium pound.
Calculate the tax Omari pays each month if he pays a monthly insurance premium of Kshs. 2400
(c) During a certain month, Omari receive additional earnings which were taxed at 20%
each shilling. Given that the paid 36.3% more tax that month, calculate the percentage
increase in his earning.
Date posted:
September 17, 2019
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Explain why the carrying capacity of wild animals is higher than that of cattle for a unit mass.
Date posted:
September 17, 2019
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A student at Kaloleni High School picked an organism by the shore of the Indian Ocean. After examining it very carefully,she formed an opinion that the organism belongs to class Arachnida. She then classified it as follows:-
Kingdom – Animalia
Phylum – Arthropoda
Class – Arachnida
(a) Identify one mistake in her classification.
(b) List down two characteristics that she could have used in placing the organism in class Arachnida.
Date posted:
September 17, 2019
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The fourth term of geometric sequence is 54 and the sixth term is 486. Find the common ratio and the first term.
Date posted:
September 17, 2019
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Solve for x in 2 + log7 ( 3x-4) = log7 98.
Date posted:
September 17, 2019