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The figure below shows the net of a regular rectangular based pyramid. The rectangle measures 18 cm by 15 cm. N and K are mid-points of AD and BC respectively. AB=18 cm and BC= 15 cm while VK=16 cm. V is the vertex and O is the centre of the rectangle ABCD.
a).Sketch the pyramid and label all the vertices
b) From the diagram in (a) above, calculate to 2 decimal places.
i) Length CV
ii) Length VO
iii) The angle between the plane VCB and the base ABCD.
iv) The angle between the plane BVC and AVD
Date posted:
August 13, 2019
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a) Use the trapezium rule with 5 strips to estimate the area enclosed by the curve, the x-axis and the lines x=-2 and x=3 of the curve y=x2+x+9.
b) Find the exact area bounded by the curve, the x-axis and the line x=-2 and x=3.
c) Find the percentage error in your workings.
Date posted:
August 13, 2019
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A self help group of 10 young men invested Shs 72,000 in two companies A and B. A pays a dividend of 22.5% while B pays a dividend of 21%. If from their total investment they obtained a return of 21.5%, how much money did they invest in each company?
Date posted:
August 13, 2019
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State lessons that a Muslim can learn from Sheikh Uthman dan Fodio.
Date posted:
August 13, 2019
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A triangle PQR has a height of x cm and a base of(x+3) cm. if its area is 5 cm2, calculate the height of its base.
Date posted:
August 13, 2019
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Solve the following simultaneous equations using matrix Method.
4a+3b=120
2a+5b=130
Date posted:
August 13, 2019
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The total marks scored in a test by 6 pupils was 420. If the mean mark for the first 5 pupils was 68, find the marks scored by the sixth pupil.
Date posted:
August 13, 2019
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The perimeter of a triangular field is 120 M. Two of the sides are 21m and 40m. calculate the largest angle of the field hence find the area of the field.
Date posted:
August 13, 2019
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Given that point A(2,4) and B(8, -4) , find the equation of the perpendicular bisector of line AB.
Date posted:
August 13, 2019
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In the figure below, 0 is the centre of the circle. PQ and PR are tangents to the circle at P and R respectively Angle PQS = 400 and angle PRS 30° RTU is a straight line.
Find with reasons the angles
i) QRS
ii) RTQ
iii) RPQ
iv) Reflex angle QOR
v) TRO given that TR =TQ
Date posted:
August 13, 2019
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Mention ways in which Prophet Muhammad (p.b.u.h) encouraged religious tolerance.
Date posted:
August 13, 2019
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Enumerate the role of Aidas and Jumbes in the spread of Islam in Tanzania.
Date posted:
August 13, 2019
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The vertices of triangle PQR are P(O,O), Q(6 0) and R(2,4)
a) Plot these points on the grid provided.
b) Triangle P1Q1R1 is the image of a triangle PQR under an enlargement scale factor ½ and centre (2,2). Write down the coordinates of triangle P1Q1R1 and plot on the
same grid.
c) Draw triangle P11Q11R11 the image of triangle P1Q1R1 under a positive quarter turn about the point (1,1)
d) Draw a triangle P111Q111R111 the image of triangle P11Q11R11 under reflection in the line y = l.
e).Describe fully a single transformation which maps triangle P11Q11R11 onto triangle P1Q1R1.
Date posted:
August 13, 2019
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State the similarities between the reign of Umayyad and Abbasid dynasties.
Date posted:
August 13, 2019
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Highlight the factors that facilitated the spread of Islam in North Eastern Kenya up to the 20th Century.
Date posted:
August 13, 2019
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What are the reasons why the non-Muslims of Makka opposed the prophet (P.B.U.H)?
Date posted:
August 13, 2019
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Read the excerpt below and answer the questions that follow .
A Doll’s House:
Krogstad: (Controlling himself) Listen to me, Mrs. Helmer. If necessary, I am prepared to fight for my small post in the Bank as if I were fighting for my life.
Nora: So it seems
Krogstad: It is not only for the sake of the money; indeed, that weighs least with me in the matter. There is another reason-well, I may we well tell you. My position is this. I daresay you know, like everybody else, that once, many years ago, I was guilty of an indiscretion.
Nora: I think I have heard something of the kind.
Krogstad: The matter never came into court; but every way seemed to be closed to me after that. So I took to the business that you know of. I had to do something; and, honestly, I don’t think I’ve been one of the worst. But now I must cut myself free from all that. My sons are growing up; for their sake I must try and win back as much respect as I can in the town. This post in the Bank was like the first step up for me – and now your husband is going to kick me downstairs again into the mud.
Nora: But you must believe me, Mr. Krogstad; it is not in my power to help you at all.
Krogstad: Then it is because you haven’t the will; but I have means to compel you.
Nora: You don’t mean that you will tell my husband that I owe you money?
Krogstad: Hm! – suppose I were to tell him?
Nora: I would be perfectly infamous of you. (Sobbing) To think of his learning my secret, which has been my joy and pride, in such an ugly, clumsy way – that he should learn it from you! And it would out me in a horribly disagreeable position-
Krogstad: Only disagreeable?
Nora: (Impetuously) well, do it, then! – and it will be the worse for you. My husband will see for himself what a blackguard you are, and you certainly won’t keep your post them.
Krogstad: I asked you if it was only a disagreeable scene at home that you were afraid of?
Nora: If my husband does get to know of it, of course he will at once pay you what is still owing, and we shall have nothing more to do with you.
Krogstad: (Coming a step nearer)Listen to me, MrsHelmwe. Either you have a very bad memory or you know very little of business. I shall be obliged to remind you of a few details.
Questions
a) What happens just before this excerpt?
……………………………………………………………………………………………………………………………………
b) Identify and illustrate any two themes evident in the excerpt.
……………………………………………………………………………………………………………………
c) Using about fifty words, summarise why Krogstad is prepared to fight for the small post in the bank (5mks)
…………………………………………………………………………………………………………………………………
d) Identify and illustrate any two character traits of;
i. Krogstad
…………………………………………………………………………………………………………………
ii. Nora
…………………………………………………………………………………………………………………
e) Identify and illustrate any two stylistic devices used in the excerpt.
………………………………………………………………………………………………………………………
f) Explain the meaning of the following words as used in the extract
i. Compel
………………………………………………………………………………………………………………………………
ii. Blackguard
……………………………………………………………………………………………………………………………..
g) “I shall be obliged to remind you of a few details”. Which are those details?
Date posted:
August 13, 2019
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The graph below represents the climate of station X. Use it to answer the questions that follow.
(a) Describe characteristics of the climate represented.
(b) Explain ways in which vegetation in the station adapt to the climate.
(c) Students carried out a field study on soils found on the station represented.
(i) State four soil characteristics they would look for.
(ii) Explain how they would use the following methods to collect data.
- Content analysis
- Observation
Date posted:
August 13, 2019
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Read the passage below and answer the questions that follow.
The process of developing social skills among children at an early age is important. Researchers have cited rejection by peers as the greatest challenge children face in their quest to build meaningful social skills. It has been reported that children who get bullied and snubbed by peers are more likely to have problems in relating with others. In recent times, researchers have found at least three factors in a child’s behavior that can lead to social rejection. The factors involve a child’s inability to pick up on and respond to nonverbal cues from their pals. In the United states 10 to 13 percent of school-going children experience some form of rejection by their peers. In addition to causing mental health problems, bullying and social isolation can increase the likelihood of a child getting poor grades, dropping out of school, or developing substance abuse problems.
It is reported that the social skills that children gain on the playground or elsewhere could show up later in life, according to Richard Lavoie, an expert in child social behaviour. He says that children experiment with the relationship styles they will have as adults during unstructured playtime-when children interact without the guidance of an authority figure. Researchers say that the number-one need of any human is to be liked by other humans. However, researchers have expressed concern that our children are like strangers in their own land. They don’t understand the basic rules of social behaviour and their mistakes are usually unintentional.
Children who face rejection may have problems in at least one of three different areas of nonverbal communication, which is the reason they are rejected. These are reading nonverbal cues; understanding their social meaning; and coming up with options for resolving a social conflict. A child, for example, simply my not notice a person’s scowl of impatience or understand what a
tapped foot means. In another situation, a child may have trouble reconciling the desires of a friend with her own. Anyone trying to help children on their social skills should try to pinpoint the weaknesses a child has and then build those up.
When children have prolonged struggles with socializing, “a vicious cycle begins,” children who are shunned by others have few opportunities to practice social skills whereas popular children have more than enough opportunities to perfect theirs. However, having just one or two friends can be enough to give a child the social practice he or she need.
Parents, teachers and other adults in a child’s life can help, too. Instead of reacting with anger or embarrassment to a child who, say, asks Aunt Vera if her new hairdo was a mistake, parents should teach social skills with the same tone they use for teaching numeracy skills or proper hygiene.If presented as a learning opportunity, rather than a punishment, children usually appreciate the lesson. It is important to note that most children are so desperate to have friends that they just jump on board.
To teach social skills, Lavoie advises a five-step approach in his book. The process works for children with or without learning disabilities and is best conducted immediately after a wrongdoing has been made. First, ask the child what happened and listen without judgment. Second, ask the child to identify their mistake. Often children only know that someone got upset, but don’t understand their own role in the outcome. Third, help the child identify the cue they missed or mistake they made, by asking something like: “How would you feel if Emma was hogging the tyre swing?” Instead of lecturing with the word “should,” offer options the child “could” have taken in the moment, such as “You could have asked Emma to join you or told her you would give her the swing after your turn. “Fourth, you can create an imaginary but similar scenario where the child can make the right choice. For example, you could say, “If you were playing with a shovel in the sand box and Aiden wanted to use it, what would you do?” Lastly, give the child” social homework” by asking him to practice this new skill, saying: “Now that you know the importance of sharing, I want to hear about something you share tomorrow.”
(Adapted from livescience.com-Tue Feb 2, 2010)
Questions
a) In one sentence, explain what this passage is talking about?
……………………………………………………………………………………………
b) What is the number one need of any human being?
……………………………………………………………………………………………
c) What are cited as the causes for social rejection according to the passage
………………………………………………………………………………………………………………………………
d) What is social rejection likely to lead to
………………………………………………………………………………………………………………………………
e) What vicious cycle is referred to in this passage
………………………………………………………………………………………………………………………………
f) How can a parent make children appreciate the lesson on social skills?
………………………………………………………………………………………………………………………………
g) “How would you feel if Emma was hogging the tyre swing?” Re-write in reported speech.
…………………………………………………………………………………………………………………………
h) Make notes on the five-step approach to teach children social skills
………………………………………………………………………………………………………………………
i) Explain the meanings of the following words and phrases as used in the passage
i. Authority figure
……………………………………………………………………………………………………………………………………
ii. Shunned
……………………………………………………………………………………………………………………………………
iii. Jump on board
…………………………………………………………………………………………………………………………………
Date posted:
August 13, 2019
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Complete the telephone conversation below between a parent and a student acting as a receptionist at her school.
Mrs. Wanjau: ………………………………………………………………………………
Joan: Hallo. Yes, this is Makutano High School. How can I help you?
Mrs. Wanjau: ………………………………………………………………………………….…… ………………………………………………………………………………………………
Joan: I am sorry the Principal is not in at the moment. Can you leave a message?
Mrs. Wanjau:………………………………………………………………………………
Joan: I am Joan, a form 4 student stepping in for the receptionist who has gone out shortly.
Mrs. Wanjau: ………………………………………………………………………………
Joan: Yes once in a while students of office practice and typing are allowed to step in for the receptionist as part of their practice.
Mrs. Wanjau: ……………………………………………………………………………………… ………………………………………………………………………………………………
Joan: Thank you very much. I will let the Principal know that you will call tomorrow
Date posted:
August 13, 2019
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Read the passage below and fill in each blank space with an appropriate word.
Alcohol impacts people and societies in different (1)__________________ and is determined by the (2) _________________ of alcohol consumed, the pattern of drinking, and, on rare occasions, the quality of alcohol (3)_________________. Alcohol is a psychoactive substance and its harmful use is known (4) _________________________ have dependence - producing properties and cause (5) ____________________ than 200 diseases among drinkers as well as devastating effects to innocent victims such as unborn children.
Drinking alcohol (6)_______________________ pregnancy can lead to miscarriage, preterm birth, still birth, spontaneous abortion, and contribute to a range of disabilities known (7) ____________________ foetal alcohol spectrum disorders (FASD). FASD is an umbrella term (8) _______________________ to an array of conditions involving impairments of the growth and development of the central (9)______________________ system caused by (10) ________________ intake during pregnancy.
(Adapted from DN2 - The Daily Nation 19th May 2015
Date posted:
August 13, 2019
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Find the co-ordinates of the point Q which divides the line PR in ratio 3 :2 given the co – ordinates of P and R are ( 3,-1) and ( 4,3) respectively.
Date posted:
August 13, 2019
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Mention situations when monopoly is allowed in Islam.
Date posted:
August 13, 2019
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The positions vectors of point A and B are a and b respectively. C is another point with Positions vector c = 3/2 b – ½ a.
Express in terms of a and b
i) Vector AC,AB. Hence show that A,B and C are collinear
ii) Determine the ratio A B:BC
Date posted:
August 13, 2019
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If P,Q and R are the points (2,-4), (4,0) and (1,6) respectively. Use the vector method to find the co-ordinates of points S given that PQRS is a Parallelogram
Date posted:
August 13, 2019
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State the roles of extended family members.
Date posted:
August 13, 2019
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Why should a Muslim exercise Qanaa?
Date posted:
August 13, 2019
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Read the poem below and answer questions that follow
(8mks)
To my Sister
It is the first mild day of March
Each minute sweeter than before,
The red breast sings from the tall larch
That stands beside our door
There is a blessing in the air,
Which seems a sense of joy to yield?
To the bare trees and mountains bare,
And grass in the green field
My sister! (‘tis a wish of mine)
Now that our morning meal is done
Make haste, your morning task resign,
Come forth and feel the sun.
William Wordsworth.
Questions
(i) List any four pairs of rhyming words.
(ii) Describe the rhyme scheme of the poem.
(iii) How would you say the ninth line of the poem?
Date posted:
August 13, 2019
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Fill in the blank spaces in the following passage with the most appropriate word.
The devolved system of government that Kenya 1…………after the March 2013 general elections holds a lot of 2………….to unlock the country’s economic, social and political fortunes 3………have been stifled 4……….a centralized system of government since independence. Devolution will result in 5…………development in all parts of Kenya. The central system of government that was in place 6………………fifty years resulted in serious 7…………………….of large parts of the country 8………………….Northern Kenya. Devolution has in the last two years delivered encouraging 9…………in many counties.10……………..
Date posted:
August 13, 2019
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Suggest seven ways in which the collection of Zakat in Kenya can be improved.
Date posted:
August 13, 2019