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The figure below shows a measuring cylinder which contains water initially at a level A.
A spherical solid is immersed in the water and the level rises to B.
Determine the diameter of the spherical ball.
Date posted:
October 30, 2019
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Three quantities P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
a)Given that P = 20 when Q = 5 and R = 9. Find P when Q = 7 and R = 25
b)If Q increased by 20% and R decreased by 36%, find the percentage change in P
Date posted:
October 30, 2019
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a)Two blends of tea costing Ksh. 140 and Ksh.160 per kg respectively are mixed in the ratio 2:3 by mass. The mixture is sold at sh.240 per kg.
i)Find the percentage profit
ii)In what ratio should the two blends be mixed to get a mixture that costs sh.148 per kg
b)A quantity P is partly constant and partly varies as the cube of Q. when Q = 2, P = 50 and when Q =4, P =330. Find the value of Q when P= 16885
Date posted:
October 30, 2019
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A man deposits Sh. 500,000 in an investment which pays 12% per annum interest compounded quarterly. Find how many years it takes for the money to double.
Date posted:
October 30, 2019
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Use logarithm tables to evaluate the following to four significant figures.
Date posted:
October 30, 2019
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a) Draw the graph of 2x2 + 3x – 6 for the values of x from -3 to 3.
b) Use the graph to solve the equation:
i) 2x2 + 3x – 6 = 0
ii) 2x2 + 3x – 3 = 0
c)Solve the equation 2x + x – 7 = 0 using the graph.
Date posted:
October 29, 2019
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Find the range of value of x which satisfy the inequality below:
Date posted:
October 29, 2019
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3. ORAL SKILLS
(a) Read the narrative below and then answer the questions that follow.
A greedy Old Man and the Sausage
Once upon a time, there lived an old man. One day he paid a visit to his in-laws. On entering the house of his mother-in-law, he found that she had been roasting some meat, among which was delicious looking sausage and she was not in the house. He immediately took the sausage and quickly shoved it into his quiver. And it so happened that a piece of live coal had got stuck on the sausage but the old man didn’t know. He quickly shut the quiver.
No sooner had he sat down than the owner of the house came in. They sat down to talk about the children’s health. When they had finished, it was time for the old man to return to his home. Just then, the woman noticed smoke issuing from the quiver and asked the old man; “Paker, how come the quiver is smoking? The man answered, “Oh. It’s some naughty fire stick with a soft head that smokes whenever it comes into contact with soft wood and the arrows.” The woman kept quiet and got up to escort her guest.
When they had walked only a short distance, the fire made a hole in the quiver and the arrows fell out, tak! together with the stolen sausage. The lady, who was walking closely behind, exclaimed: ‘see, had I not known it! Then the old man fearing that his sausage might be eaten shouted, “Oh, my Paker, Please do not do it!”
So while the lady ran home in shame, the greedy old man continued with his journey in extreme embarrassment. They showed each other their backs and there ends the story.
Questions
i) State three things a narrator would do to draw the audience’s attention at the beginning of the story (3mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
ii) Describe how a narrator would perform line 4-6 of the second paragraph (2mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
iii) Explain four ways in which audience can indicate active listening in the performance of this narrative (4mks)
…………………………………………………………………………………………
………………………………………………………………………………………….
………………………………………………………………………………………….
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iv) Apart from using the ending formula, how else would a narrator signal to the audience the ending of his story? (1mk)
………………………………………………………………………………………….
………………………………………………………………………………………….
………………………………………………………………………………………….
3b. For each of the following words, identify the silent letter (5mks)
(i) Satchet
(ii) Tomb
(iii) Married
(iv) Mortgage
(v) Champagne
3c. Pick the odd word out based on the pronunciation of the underlined vowel sounds
(4mks)
(i) Cup, bury, hut cut
(ii) Pail, paper, patron, patter
(iii) Cold, corn, cohort, convoke
(iv) Brook, broom, brood, boot
3d. You have been summoned to the Discipline Teacher’s Office. You are in possession of a bag that was reportedly missing. Complete the gaps in the following conversation.
Discipline Teacher (knock!) Yes, come in, Good morning
Me…………………………………………………………………… (1mk)
Discipline teacher: Are you innocent Kibaya?
Me…………………………………………………………………….. (1mk)
Discipline teacher: Tell me about this missing bag.
Me…………………………………………………………………….. (2mks)
Discipline teacher: Do you have any substantial proof?
Me……………………………………………………………………..
………………………………………………………………………
……………………………………………………………………… (2mks)
Discipline teacher: Okey Innocent, I find your explanation convincing.
I feel it was a case of mistaken identity.
Me…………………………………………………………………….. (1mk)
3e. You are giving verbal directions to a stranger in your estate. What are the main parts to consider? (4mks)
Date posted:
October 29, 2019
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A number is formed by finding the difference between the products of prime numbers between 20 and 30 and that of prime numbers between 1 and 15. Find the number formed.
Write the number in words.
Date posted:
October 29, 2019
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Use mathematical tables to find:
i) The square of 4.978
ii) The reciprocal of 31.65
Date posted:
October 29, 2019
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Mutua wants to erect a fence around his house using posts. Whenever he uses 5, 8 or 10 posts along one side, he is always left with 2 posts. Find the number of posts Mutua has for one side of the fence.
Date posted:
October 29, 2019
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i) You are the outgoing President and you have been asked to give a speech during your prize giving day. List five strategies you may employ to ensure effective introduction of the speech.
ii)Imagine that you feel nervous as you present the speech. What would you do to overcome it?
Date posted:
October 29, 2019
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Read the poem below and answer the questions that follow.
INFANT SORROW
My mother groaned, my father wept,
Into the dangerous world I Leapt,
Helpless, naked, piping loud
Like friend hid in a cloud.
Struggling in my father’s hands,
Striving against my swaddling bands,
Bound and weary I thought best,
To suck upon my mother’s breast.
(William Blake)
i)Illustrate any two stylistic devices used by the poet.
ii) Work out the rhyme scheme in this poem.
iii)Mention two non-verbal cues you would use to make the poem interesting. Indicate the lines you would use them.
iv)Which words would you stress in line 1 and why?
Date posted:
October 29, 2019
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When food gets (1) ____________________ people are forced to resort to desperate measures. (2)_________________ families resort to eating wild fruits, tubers and vegetables. For example, in Turkana South, people eat a hard highly (3)_________________ wild fruit called ‘Elamarch’ which they have to boil for over ten hours before it becomes safe for human (4) ________________. Sadly, by the time it is cooked, some weak people would have (5)__________________ of hunger.
The most (6)____________________ twist to famine situation is when food poisoning occurs. It aggravates an already (7) ____________________ situation because it also claims human (8)____________________ food. The (9)____________________ poisonous substance found in contaminated food is aflatoxin B1. Aflatoxin is mainly found in (10)_________________ stored maize.
Date posted:
October 29, 2019
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State any two sensory devices used in virtual reality.
Date posted:
October 29, 2019
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The flow chart below shows an analysis of mixture R that contains two salts. Study it and answer the questions that follow:-
(i) Write two ionic equations for the reactions between the cation in filtrate X and aqueous
ammonia (Ammonium hydroxide)until in excess
(ii) What conclusion can be drawn from Step IV only? Explain
(iii) What observation would indicate the presence of a NO3- ion in step I?
(iv) Write the formula of the anion in residue V. Explain
(v) Suggest the identity of the cation present in solution Z
(vi) Name the two salts present in mixture R
Date posted:
October 29, 2019
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Fafanua sababu tatu zilizochochea usanifishaji wa lugha ya Kiswahili kabla ya uhuru .
Date posted:
October 29, 2019
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Eleza mambo manne yaliyochangia kuenea kwa lugha ya Kiswahili kabla ya uhuru wa mataifa ya Afrika mashariki .
Date posted:
October 29, 2019
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Tambua hali na nyakati katika sentensi ifuatayo
Atakuwa ameondoka utakapofika.
Date posted:
October 29, 2019
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When nitrate solution of a certain metal X was electrolysed, 1.174g of metal X was deposited by a current of 4 amperes flowing for 16 minutes. Determine the formula of the metal nitrate. (1F= 96,500, R.A.M of X= 59)
Date posted:
October 29, 2019
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Toa visawe viwili vya ‘uchochole’
Date posted:
October 29, 2019
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Kanusha sentensi ifuatayo:
Aimbapo vizuri mtuze
Date posted:
October 29, 2019
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Andika sentensi ifuatayo katika hali ya ukubwa
Paka huyu aliguguna mfupa wa mtoto huyu.
Date posted:
October 29, 2019
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The standard electrode potential for the elements chlorine and magnesium are:-
Which one of the two elements will act as an oxidizing agent? Explain.
Date posted:
October 29, 2019
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Tambua kiima na kiarifa katika sentensi hii
Taa yake inatoa moshi mwingi
Date posted:
October 29, 2019
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The table gives the standard redox potentials for a number of half reactions. Use it to answer the questions that follow:-
(i) Relative to which half-cell reaction are the above electrode potentials expressed?
(ii) Calculate the e.m.f of the cell made up by combining the 
electrode and 
electrode
(iii) Which of the substances listed in the above table is :-
I. The strongest oxidising agent
II. The strongest reducing agent
(iv) Which substances could be used to convert iodide ions to iodine? Write balanced equations for any possible conversions
Date posted:
October 29, 2019
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Tunga sentensi ukitumia neno katika ngeli ya YA-YA.
Date posted:
October 29, 2019
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Changanua sentensi ifuatayo kwa njia ya matawi .
Mtoto alipoumia alitibiwa haraka sana.
Date posted:
October 29, 2019
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Study the standard electrode potential for the half-cells given below and answer the questions that follow.(The letter do not represent the actual symbols of the elements)
i) Identify the strongest oxidizing agents. Give a reason for your answer
ii) Which two half-cells would produce the highest potential difference when combined?
iii) In the space below draw a complete electro-chemical cell of the two-half cells mentioned
in (ii) above
Date posted:
October 29, 2019
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Taja mfano mmoja kwa kila aina ya sauti zifuatazo;
Kipasuo-kwamizo –
Irabu ya nyuma wastani -
Date posted:
October 29, 2019