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The L.C.M. of three numbers is 360 and the G.C.D of the same numbers is 2. If one of the
numbers is 40. find the other 2 numbers.
Date posted:
August 7, 2019
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a) Write the odd numbers in descending order between 1 and 10 inclusive
b) Round off the number formed to 3 significant figures.
c) Find the total value of digit 7 in the new number in 1(b) above.
Date posted:
August 7, 2019
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An arithmetic progression has the first term as a and common difference as d
(i) Write down the third, ninth and twenty fifth term of the progression
(ii) The arithmetic progression above is such that it is increasing and the third, ninth and twenty fifth terms form the first three consecutive terms e.g. a geometric progression. If the sum of the seventh term and twice the sixth term of the A.P is 78.Calculte the first term and the common difference of A.P.
Date posted:
August 7, 2019
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Every time an insect jumps forward the distance covered is half of the previous jump.
If the insect initially jumped 6.4m. Calculate
(i) The length of 7th jump
(ii) The total distance covered after the 7th jump
Date posted:
August 7, 2019
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In the figure below ABCDE is a pentagon inscribed in a circle. CX is a tangent to the circle at C and EDX is a straight line. Angle ADE = 340, angle CAD = 420, AB = BC and BC is parallel to AD. Giving reasons, determine
(a) (i) Angle ABC
(ii) Angle ACD
(iii) Angle EAD
(iv) Angle CXD
(b) Given that ED = 5cm, DX = 4cm, calculate the length of CX
Date posted:
August 7, 2019
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The figure below shows two circles intersecting at C and D. The centres are A and B with radii 8cm and 6cm respectively. AB = 10cm.
Determine
(i) Size of angle DAC
(ii) Size of angle DBC
(iii) Area of sector ACMD
(iv) Area of the shaded region
Date posted:
August 7, 2019
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A plastic water tank has a shape as shown below, with a frustrum of a cone on top, a cylindrical body and a hemispherical bottom.
(a) Calculate
(i) The volume of the tank in m3.
(b) A filler pipe takes 3 hours to fill a third of the tank. If the tank is already ¼ full, at what time will the filler pipe fill the tank if the pipe is opened at 9.00 a.m.
(c) A particle falls in the tank. If its chances of being in any part of the tank are equally likely, find the probability of it being in the hemispherical part.
Date posted:
August 7, 2019
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ABC Ltd. Makes and sells a single product, Z. The company operates a standard cost system and during a period, the following details were recorded:-
Required:
Using the above information, prepare all cost and variances accounts and a profit and loss account and a closing trial balance.
Date posted:
August 7, 2019
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Study the diagram below which shows a glaciated highland and answer questions (i) and (ii)
i) Name the features marked A, B, C and D.
ii) Describe how features A and D were formed.
Date posted:
August 7, 2019
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The figure below represents a school field.
Find the length of AB given that angle BAD and angle CBD are right angles.
Date posted:
August 7, 2019
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The interior angle of a regular polygon is 9 times the exterior angle. How many sides does the
polygon have?
Date posted:
August 7, 2019
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Easy Wash Ltd. Produces powder sap for household use. The standard direct costs per carton containing 20 packets of one kilogrammes each are as follows:-
Raw Materials:
Required:
(a) Price and usage variances for each raw material
(b) Labour rate and efficiency variances
(c) Sales price and volume variances
(d) Overhead expenditure variances
Date posted:
August 7, 2019
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Three people Makori, Ondieki and Mosomi contributed money to start a business. Makori contributed a quarter of the total amount and Ondieki two fifth of the remainder. Mosomi’s contribution was one and half times that of Makori. They borrowed the rest of the money from the bank which was sh. 60,000 less than Mosomi’s contribution. Find the total amount required to start the business.
Date posted:
August 7, 2019
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A two digit number is such that when the digits are reversed the value of the number increases by 9. Three times the sum of its digits is less than the value of the number by 8. Find the number.
Date posted:
August 7, 2019
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A tea blender buys two grades of tea at sh 60 and sh 80 per packet. Find the ratio in which he should mix them so that by selling the mixture at sh 90, a profit of 25% is realized.
Date posted:
August 7, 2019
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A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25litres. if the
larger tank has a height of 100cm. calculate the height of the model tank.
Date posted:
August 7, 2019
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Use the map of Africa below to answer the questions that follow.
(i) Name the ocean currents marked R and S.
(ii) Explain how the ocean current marked Q influence the climate of the adjacent land.
(iii) Describe the characteristics of the climatic region marked T.
Date posted:
August 7, 2019
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A line passes through the points A (2, 6) and B (4, -8). Find the equation of the perpendicular
bisector of line AB.
Date posted:
August 6, 2019
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Use Square roots, reciprocal and square tables to evaluate to 4 significant figures the expression.
Date posted:
August 6, 2019
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A two digit number is such that its value is equal four times the sum of its digits. If the digits
are interchanged, the new number formed exceeds two-thirds of the original number by 52.
Find the original number.
Date posted:
August 6, 2019
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Consider the following riddle and then answer the questions that follow.
Challenger : I have a riddle; I have a riddle!
Audience : State it. We accept it.
Challenger : I have a wife. She never returns where she came from.
Audience : The water of a stream.
Challenger : No.
Audience : Rain.
Challenger : No.
Audience : A child from the womb.
Challenger : No.
Audience : We cannot get it.
Challenger : Give me a village so that I tell you the answer.
Audience : We give you Bulindo.
Challenger : Oh no! That little village is miserable. It is dry and infertile. And it is full of drunkards. I don’t want it.
Audience : We give you Ggayaaza.
Challenger : Fine! So, then, I would settle there in my Ggayaaza, and I would fully relax there. And I would fully relax there, be ruler of even the girls’ high school. And I would see for you that wife of mine who never returns to where she came from…. It is the leaf of a tree!
(Adapted from Oral Literature by Austin Bukenya et.al. Nairobi: Longhorn Publishers, 2004)
Questions
i) Identify the different parts of this riddle.
ii) Mention the non-verbal cues the challenger would separately use in response to the offer of the two villages, Bulindo and Ggayaaza and say why in each case.
iii) If you were the challenger, how would you deliver the solution statement?
Date posted:
August 6, 2019
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Using a ruler and a pair of compasses only construct.
a) A line PQ, 8cm long. On the line construct triangle PQR such that angle QPR = 750 and
line PR = 7cm. measure line QR
b) Construct a circum circle of triangle PQR.
Date posted:
August 6, 2019
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You are a Form 4 student at Rafiki High School. You would like to pursue a course in Computer Programming after the KCSE examination. You have heard about Imani Computer College which offers such a course.
Write a letter of inquiry to the Principal, Imani Computer College inquiring on:
i) Minimum educational requirements
ii) Subjects useful for this course
iii) Fee per semester
Date posted:
August 6, 2019
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Read the telephone conversation below and answer the questions that follow.
Wanjala: Hello, is that Chaka Limited.
Sheila: (Picking the phone) Those shoes fit well. Hello, is anybody on this line?
Wanjala: Hallo, is that Chaka Limited?
Sheila: What do you want?
Wanjala: Please confirm for me whether I called the right place, Chaka Limited?
Sheila: (Shouting) Which other company has a similar phone number as this?
Wanjala: May I then speak to the Managing Director?
Sheila: I prefer the red shoes ... (on phone). What do you say? Oh, the Managing director can’t talk to you.
Wanjala: Can I then leave a message which you can pass to him.
Sheila: Why can’t you call him on his personal line ... (away from the receiver) go for the red ones.
Wanjala: (Surprised) Hello, excuse me madam. I am Wanjala Nicholas and I’m requesting to talk to the Managing Director over an important matter concerning one of your employee...
Sheila: I told you Managing Director is not in. (hangs up)
Questions.
i) Explain three things that make Sheila an ineffective communicator.
ii) Explain three things that one should observe if they are to communicate effectively over the phone
Date posted:
August 6, 2019
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A straight line passing through the points (8,-2) and (4,-4) has its equation in the form ax +
by + c = 0, where a, b and c are integers.
a) Determine the numerical values of a, b and c.
b) If the line in (a) above cuts the x-axis at point P, determine the coordinates of P.
c) Another line, which is perpendicular to the line in (a) above passes through point P and cuts the
y axis at Q. determine the coordinates of point Q.
d) Find the length of QP
Date posted:
August 6, 2019
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Study the following item of oral literature and answer the questions that follow.
Kot took Kot’s coat, Kot went to court, the court told Kot to return Kot’s coat to Kot.
Questions.
i) Identify the above genre.
ii) If the above genre was to be translated to another language, what would be the effect of translation?
Date posted:
August 6, 2019
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Read the following poem and answer the questions that follow.
If we Must Die - Claude Mckay.
If we must die - let it not be like hogs.
Haunted and penned in an inglorious spot
While round us bark the mad and hungry dogs.
Making their mock at our accursed lot,
If we must die - oh let us nobly die
So that our precious blood may not be shed
In vain; then even the monsters we defy
Shall be constrained to honour us through dead!
Oh Kinsmen! We must meet the common foe;
Though far outnumbered, let us show us brave
And for their thousand blows deal one deathblow
What though before us lies the open grave?
Like men we’ll face the murderous, cowardly pack
Pressed to the wall, dying, but fighting back!
i) Describe the rhyme scheme of this poem.
ii) Which words would you stress in the last line of this poem and why?
iii) Apart from rhyme, how else has the poem achieved rhythm?
Date posted:
August 6, 2019
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Fill each blank space in the following passage with the most appropriate word.
By far the (1) __________________ obstacle to success, in my view, is a poor understanding of people. Most careers (2) ___________________ working with other people. You can have great academic intelligence (3) ____________________ still lack social intelligence - the ability to be (4) ________________ good listener, to be sensitive (5) _______________ others, to give and take criticism well.
If people do not like you, they may help you fail. On the other hand, you can get (6) _______________ with serious mistakes if you are socially intelligent. How are you when it comes to working with people? Are you genuine and authentic, or do you (7) ______________ put up a front? Do you listen to (8) ____________, or do you do most of the talking? Do you expect everyone else to confirm to your wishes, your schedule and your agenda, or do you look for ways to meet people on their (9) ___________________? If you haven’t learnt to get along with people, you will always be fighting a battle to succeed. (10) _______________, making people - skills a strength will take you farther than any other skill you develop.
Date posted:
August 6, 2019
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You are secretary of the drama club in your school. The chairperson has asked you to send out a notice of the second meeting to plan the staging of Francis Imbuga’s play, Betrayal in the City. During the meeting, you will need to appoint the director of the play, set up a date for selecting the cast, discuss the budget for the play, and the dates of rehearsals and the final performance.
(a) Write the notice of this meeting which you would send to the members of the drama club.
(b) Write the agenda that you would attach to the notice
Date posted:
August 6, 2019
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You are attending a debate club competition in your neighbouring school. When a student from your school takes the podium, you notice that he/she is afraid. Write down three indicators that would tell you that the student is afraid and suggest how to overcome them.
Date posted:
August 6, 2019