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1600cm3 of fresh water of density 1g/cm3 are mixed with 1400cm3 of sea water of density 1.25g/cm3. Determine the density of the mixture.
Date posted:
August 15, 2019
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Fill the blank spaces using the correct form of the verb in brackets.
(i) If I had money, I ______ (buy) a computer.
(ii) If he _______ (be) obedient, I would stay with him.
Date posted:
August 15, 2019
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The G.C.D of two numbers is 36 and their L.C.M. is 1260. If one of the numbers is 252,find the other number.
Date posted:
August 15, 2019
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Solve the inequalities and represnt the solution on number line. 3x – 9 < 5x + 3≤ 2x – 6
Date posted:
August 15, 2019
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Read the extract below from DOLL’S HOUSE and answer the questions that follow.
Mrs. Linde: Still I think the sick are those who most need taking care of.
Rank: (shrugging his shoulders) Yes, there you are. That is the sentiment that is turning Society into a sick-house. (NORA, who has been absorbed in her thoughts, breaks out into smothered laugher and claps her hands).
Rank: Why do you laugh at that? Have you any notion what Society really is?
Nora: 'What do I care about tiresome Society? I am laughing at something quite different, something extremely amusing. Tell
me, Doctor Rank, are all the people who are employed in the Bank dependent on Torvald now?
Rank: Is that what you find so extremely amusing?
Nora: (smiling and humming) That's my affair! (walking about the room) It's perfectly glorious to think that we have — that Torvald has so much power over so many people. (takes the packet in her pocket) Doctor Rank, what do you say to a macaroon?
Rank: What, macaroons? I thought they were forbidden here.
Nora: Yes, but these are some Christine gave me.
Mrs. Linde: What! I ?-
Nora: Oh, well, don't be ashamed! You couldn't know that Torvald had forbidden them. I must tell you that he is afraid they will spoil my teeth. But, bah! — once in a way —That's so, isn't it, Doctor Rank? By your leave! (Puts a macaroon into her mouth)
You must have one too, Christine. And I shall have one, just a little one — or at most two. (walking about) I am tremendously happy. There is just one thing in the world now that I should dearly love to do.
Rank: Well, what is that?
Nora: It's something I should dearly love to say. If Torvald could hear me.
Rank: Well, why can't you say it?
Nora: No, I daren't; it is so shocking.
Mrs. Linde: Shocking?
Rank: Well, I should not dvise you to say it. Still, with us you might. What is ti you would so much like to say if Torvald could hear you?
Nora: I should just love to say— Well, I'm dammed!
Rank: Are you mad?
Mrs. Linde: Nora, dear- !
Rank: Say it, here he is! Nora (hiding her packet) Hush! Hush! Hush! ) HELMER comes out of his room, with his coat over his arm and his hat in his hand.)
Nora: Well, Torvald dear, have you got rid of him?
Helmer: Yes, he has just gone.
Nora: Let me introduce you — this is Christine, who has come to town.
Helmer: Christine - ? Excuse me, but I don't know — Of course. School friends of my wife's I presume?
Mrs. Linde: Yes, we have known each other since then.
Nora: And just think, she has taken a long journey in order to see you.
Helmer: What do you mean? Mrs. Linde. No, really, I—
Nora: And when she heard you had been appointed manager of the Bank — she travelled here as quick as she could Torvald, I am sure you will be able to do something for Christine, for my sake, won't you?
Questions
a) Why does Mrs. Linde feel that those who are sick need taking care of?
b) Identify use of symbolism in the excerpt.
c) Give Nora's traits brought out in the excerpt.
d) What amuses Nora when she finds out that Helmer has so much power over many people? Explain
e) What is it that Nora would dearly love to say?
f) Hush! Hush! Hush! Identify the style used here.
g) What happens immediately after the excerpt?
Date posted:
August 15, 2019
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Okisai is three times as old as his son now. If ten years ago the sun of their ages was 44. How Old was Okisai when his son was born ?
Date posted:
August 15, 2019
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Read the passage below and answer the questions that follow.
Choosing a career
The career market is full of opportunities. Gone are the days when we had ‘either…. or’ career choices. The time when women, for example, choose between only nursing, teaching and secretarial work are long gone. The explosion in communication technology, and the liberalization and globalization of the world economy has ensured that there is no longer a dearth of career choice. Today,
colleges and universities offer a wide range of training opportunities to high school graduates. This has made choosing a care an involving process. It has also given rise to the need for career counseling.
When choosing a career, whether you have the help of a career counsellor or not, there are several factors that you should consider. These include your abilities or talents, your interests, your priorities, and the available opportunities in the job market.
The skills required in a particular career and the ability to gain them through education must be considered when choosing careers. Becoming a doctor, for instance, requires extensive education and training, and many years of educational commitment. In addition to the compulsory subjects, the academic background required for this career is good grades in Chemistry and Biology at secondary school level. If your ability in these subjects is just average, you would be overstretching your luck to enroll for a Bachelor of Medicine degree course. In the past, students have chosen to pursue training in engineering, even when their ability to handle Physics and Mathematics was low. This, in many cases, has made them drop out of the class mid-course. The waste of time and resources would have been avoided if they had considered a career that did not require the ability to handle Mathematics and Physics well.
There are times when people have been driven to choose a particular career because of the salary and prestige associated with jobs in that field. At times, the desire to take certain courses comes from within the individual, but most times, individuals feel pressured by peers or family to take certain courses. Joining a career in which you have no interest is a recipe for a dull life since you will spend most of your working hours doing something you do not like. Your career does not necessarily have to be your passion, but it should not bore you to death either. You can work out your interests by identifying the subjects you enjoy most at school, or the topics that are of interest to you and for which you take the initiative to read on your own.
It is true that many young people are attracted move by the social mobility that the job might provide than by their interest in the career. However, big role in job satisfaction as many people think. Of course we all have to make a living, but if you do not like your job, it does not matter how much you get paid to do it. What does matter is how well a career choice matches your values. If you value variety, collaboration, and creativity, for example, you would not find job satisfaction in a career where you are working alone and doing the same thing every day.
The availability of jobs in a particular field should also be a factor in choosing a career. This should be considered alongside the skills and education sought in a given field. Most times, highly competitive field require more education but may not pay well. When there are more applicants for a particular position, unique personality traits become an added benefit. However, in fields where there are fewer applicants than the positions available, the pay may be more and the job may require less education
Nevertheless, one should be discouraged by the scarcity of employment positions because institutions of higher learning now emphasize that they are not simply training people to get out and look for jobs. They are training people to get out and create jobs. Therefore, the availability of job opportunities is not necessarily limited to presence of employers. It also encompasses opportunities for self-employment which everyone is free to explore.
1. What has ensured that there is no longer a dearth of career choice
2. What has created the necessity for career counseling?
3. Why is one’s ability an important factor in career choice.
4. According to the passage, which career should a person who values variety choose?
5. Make notes on factors to consider when choosing a career?
6. What drives people to choose a particular career?
7. What evidence is given in the passage to support the statement ‘money does not play as a big role in job
satisfaction’?
8. Explain the meaning of the following words as used in the passage? (4 marks)
(a) Dearth
(b) Social mobility
(c) Liberalization
(d) Collaboration
Date posted:
August 15, 2019
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Atyang bought 3 blouses and 2 skirts for a total of Ksh.500. Awino bought 4 blouses and 5 skirts for a total of Ksh.900. Find the cost of 1 blouse and 3 skirts.
Date posted:
August 15, 2019
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Besides fish farming, what other measures have African countries undertaken to promote the growth of fishing industry?
Date posted:
August 15, 2019
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Explain any five advantages of fish farming in Kenya.
Date posted:
August 15, 2019
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Nairobi and Eldoret are each 250km from Nakuru. At 8.15a.m, a lorry leaves Nakuru for Nairobi.
At 9.30am, a car leaves Eldoret for Nairobi via Nakuru at a speed of 100km/h. Both vehicles arrived
Nairobi at the same time.
(a) Calculate their time of arrival in Nairobi.
(b) Find the cars speed relative to that of the lorry.
(c) How far apart are the vehicles at 12.45pm.
Date posted:
August 15, 2019
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If the expression 25y² - 70y + (16 + K) is a perfect square; where K is a constant;find the value of K.
Date posted:
August 15, 2019
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Use the quadratic formula to solve the equation 2x² - 9x + 3 = 0 giving your answer to 4 significant figures.
Date posted:
August 15, 2019
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The diagram below represents a model of a pillar. The radii of the top and the base are 7cm and 3.5cm respectively. The height of the cylindrical part is 10cm while the height of the whole pillar is 15cm.
(a) Calculate the volume of the model in cm³.
(b) Calculate the mass of the material used to construct the pillar given that the actual height of the
whole pillar is 60m and the density of the material used is 0.832g/cm³. (Give your answer in tones).
Date posted:
August 15, 2019
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The capacity of two similar rectangular tanks are 1,000,000 litres and 512,000 litres respectively.
(a) Determine the length of the larger tank if the smaller one is 240cm long.
(b) Calculate the surface area of the smaller tank if the larger tank’s surface area is 1875m².
(c) Estimate the mass of the smaller tank if the mass of the larger one is 800kg.
Date posted:
August 15, 2019
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The figure below shows a triangle ABC which is right-angled at C. CB = 8cm and AC = 6cm. Find the length of CD given that CD is perpendicular to AB.
Date posted:
August 15, 2019
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Explain four conditions necessary for fishing.
Date posted:
August 15, 2019
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A plane leaves town P to town Q on a bearing of 130º and a distance of 350km. it then flies 500km on a bearing of 060º to town R. Find, by scale drawing the distance between town R andtown P.
Date posted:
August 15, 2019
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Using ruler and pair of compass only, construct triangle ABC in which AB = 6cm, BC = 8cm and angle ABC = 45º. Drop a perpendicular from A to meet BC at M. Measure AM and AC.
Date posted:
August 15, 2019
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In the figure below angleMNO = 54º and angle PLM = 50º, PN = NM and PO is parallel to LM.Find the value of angle LPM.
Date posted:
August 15, 2019
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Three Kenyan warships A,B and C are at sea such that ship B is 450km on a bearing of 0300 from ship A. ship C is 700km from ship B on a bearing of 1200.An enemy ship D is sighted 1000km due south of ship B.
(a) Taking a scale of 1cm to represent 100km locate the position of the ships A,B,C and D
(b) Find the compass bearing of :
(i) Ship A from ship D
(ii) Ship D from ship C
(c) Use the scale drawing to determine
(i) The distance of D from A
(ii) The distance of C from D
(d) Find the bearing of :
(i) B from C
(ii) A from C
Date posted:
August 15, 2019
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Given that x-y=3 and 3x+y=17, find without solving for X and Y the value of
(a) 2xy-x2-y2
(b) 6xy+y2+9x2
(c) 3x2-2xy+y2
(d)
Date posted:
August 15, 2019
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The diagram below shows a flower vase of depth 18cm. The ratio of the top and bottom diameters is 5:2.
(Take pi =3.142).
Calculate
(a) The volume of the flower vase.
(b) The curved surface area of the flower vase.
Date posted:
August 15, 2019
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State three factors that could affect the future development of tourism in Kenya.
Date posted:
August 15, 2019
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A car accelerates from rest for 10 seconds until it reaches a velocity of 12 metres per second.It then continues at this velocity for the next 40 seconds after which it brakes and comes to rest until a constant retardation of 1.5 meres per second
(a) Determine
(i) The acceleration over the first 10 seconds.
(ii) The time taken during the retardation
(b) Draw the velocity time graph for the journey and use it to determine.
(i) The total distance covered by the car
(ii) The percentage of the total distance which was covered during the first 15 seconds.
Date posted:
August 15, 2019
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A plane leaves an airport P(100S,620E) and flies due north at 800km/h
(a) Find its position after 2 hrs.
(b) The plane turns and flies at the same speed due west. It reaches Q longitude of 120W.
(i) Find the distance it has traveled in nautical miles.
(b) The plane turns and flies at the same speed due west. It reaches Q longitude of 120W.
(i) Find the distance it has traveled in nautical miles.
(ii) Find the time it has taken (Take the radius of the earth to be 6370 km and 1 nautical mile to be 1.853km.
(c) If the local time at P was 1300 hrs when it reached Q, Find the local time at Q when it
landed at Q .
Date posted:
August 15, 2019
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What is a Positive Feedback Amplifier — Oscillator?
Date posted:
August 15, 2019
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The following figure represent a dancing floor with a carpeted margin all around of 
wide leaving a dancing space of (x-3)m by (x+3)m
If the total area of the entire room is 315m2
(a) Calculate the value of x.
(b) Calculate the area of the carpeted margin.
(c) If the carpet cost sh. 750 per m2,calculate the total cost of the sealed margin.
Date posted:
August 15, 2019
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Add a question tag to the following statements.
a. Let us help the sick
b. You will wait for them here
Date posted:
August 15, 2019
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Explain the factors that have hindered commercial exploitation of forests in Gabon.
Date posted:
August 15, 2019