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- The length of a rectangle is (x+1) cm. its width is 3cm shorter than its length. Given that the area of the rectangle is 22cm,...(Solved)
The length of a rectangle is (x+1) cm. its width is 3cm shorter than its length. Given that the area of the rectangle is 22cm, find its length using completing the square method.
Date posted: November 18, 2019.
- Make A the subject of the formula(Solved)
Make A the subject of the formula 
Date posted: November 18, 2019.
- Simplify(Solved)
Simplify 
Date posted: November 18, 2019.
- Given that 8 = y = 12 and 1 = x = 6 find the maximum possible value of (Solved)
Given that 8 ≤ y ≤ 12 and 1 ≤ x ≤ 6 find the maximum possible value of 
Date posted: November 18, 2019.
- Members of a group decides to raise k£ 100 towards a charity. Five of them were unable to contribute. Each of the rest had therefore...(Solved)
Members of a group decides to raise k£ 100 towards a charity. Five of them were unable to contribute. Each of the rest had therefore to pay k£ 1 more, in order to raise the same amount.
a) If the original number of member was x, writes downs:
i) An expression of how much each was originally to contribute.
ii) Two distinct expressions of how much each contributed after the five pulled out.
b) Calculate the value of x.
c) Solve the equation 
Date posted: November 18, 2019.
- Two towns, Meru and Maua are 80km a part, Kimathi started cycling from Meru to Maua at 10:00 a.m at an average speed of 40km/h....(Solved)
Two towns, Meru and Maua are 80km a part, Kimathi started cycling from Meru to Maua at 10:00 a.m at an average speed of 40km/h. Mutuma started his journey from Maua to Meru at 10:30 a.m and travelled by car at an average speed of 60km/h.
(a) Calculate:
i) The time taken by Kimathi and Mutuma to meet.
ii) The distance from Meru when Kimathi and Mutuma met.
iii) The time of the day when the two met.
(b) Murianki cycled from his home to a school 6km away in 20 minutes. He stopped at the school for 5 minutes, before taking a motorbike to a town 40 km away. The motorbike travelled at 75km/h. On the grid provided, draw a distance time graph to represent Murianki’s journey.
Date posted: November 18, 2019.
- The table below shows the age groups and number of people who are HIV/ AIDS positive, in a certain sub county in Kenya.
a) State the...(Solved)
The table below shows the age groups and number of people who are HIV/ AIDS positive, in a certain sub county in Kenya.
a) State the modal age group.
b) Calculate the mean age of the people who are HIV/AIDS Positive.
c) Calculate the median of the age group.
d) Draw on the grid provided a histogram to represent the above information.
Date posted: November 18, 2019.
- The diagram below shows a solid made of a hemisphere and a cylinder. The radius of both the cylinder and the hemisphere is 3cm. The...(Solved)
The diagram below shows a solid made of a hemisphere and a cylinder. The radius of both the cylinder and the hemisphere is 3cm. The length of the cylinder is 12cm.
a) i) Calculate the volume of the solid.
ii) The solid fits in a box in the shape of a cuboid 15 cm by 6cm by 6cm. Calculate the volume of the box not occupied by the solid correct to four significant figures.
b) i) Calculate the total surface area of the solid correct to four significant figures.
ii) The surface of the solid is to be painted. One millilitre of paint covers an area of 8cm2. The cost of paint is Ksh 900 per litre. Calculate the cost of the paint required.
Date posted: November 18, 2019.
- The figure below shows triangle T with vertices P(2,4), Q(6,2) and R(4,8). It is mapped onto triangle T/ with vertices P/(10,0), Q/(8,-4) and R/(14, -2)...(Solved)
The figure below shows triangle T with vertices P(2,4), Q(6,2) and R(4,8). It is mapped onto triangle T/ with vertices P/(10,0), Q/(8,-4) and R/(14, -2) by a rotation.
Draw on the same axis T/ the image of triangle T.
Date posted: November 18, 2019.
- The figure below is not drawn to scale.
Find correct to 1 decimal place;
(a) Length PQ.
(b) Angle ABC(Solved)
The figure below is not drawn to scale.
Find correct to 1 decimal place;
(a) Length PQ.
(b) Angle ABC
Date posted: November 18, 2019.
- Line K whose equation is 2y - 6 = 4x is perpendicular to another line Q. Find the equation of line Q if it passes...(Solved)
Line K whose equation is 2y - 6 = 4x is perpendicular to another line Q. Find the equation of line Q if it passes through point. (-2,7).
Date posted: November 18, 2019.
- Using trapezoid rule, estimate the area under the curve y = 1/2x2 - 2 bounded by lines, x =2 and x=8 and x –axis use...(Solved)
Using trapezoid rule, estimate the area under the curve y = 1/2x2 - 2 bounded by lines, x =2 and x=8 and x –axis use six strips.
Date posted: November 18, 2019.
- The sum of interior angles of a polygon is 19800. Find the number of sides of the polygon and name the polygon.(Solved)
The sum of interior angles of a polygon is 19800. Find the number of sides of the polygon and name the polygon.
Date posted: November 18, 2019.
- Find the value of t in the equation(Solved)
Find the value of t in the equation 
Date posted: November 18, 2019.
- In a mixed school there are 900 students, out of these 600 are girls.
(a) Find the ratio of boys to girls.
(b) What is the...(Solved)
In a mixed school there are 900 students, out of these 600 are girls.
(a) Find the ratio of boys to girls.
(b) What is the percentage of boys in this school?
Date posted: November 18, 2019.
- During an annual general meeting at Elimu Mixed Day, goats and chicken were slaughtered. The number of heads for both chicken and goats were 45....(Solved)
During an annual general meeting at Elimu Mixed Day, goats and chicken were slaughtered. The number of heads for both chicken and goats were 45. The total number of legs were 100. Determine the exact number of goats and chicken slaughtered.
Date posted: November 18, 2019.
- The diagram below represents a prism whose Cross-section is a right angled triangle. Draw the net of the solid.(Solved)
The diagram below represents a prism whose Cross-section is a right angled triangle. Draw the net of the solid.
Date posted: November 18, 2019.
- Simplify the equation(Solved)
Simplify the equation 
Date posted: November 18, 2019.
- The Crucified Thief
I am a crucified thief,
Dying for my unnumbered sins;
Beside me dies the ‘sinful’ God
Who takes away the sin of the world.
His fingers freeze...(Solved)
The Crucified Thief
I am a crucified thief,
Dying for my unnumbered sins;
Beside me dies the ‘sinful’ God
Who takes away the sin of the world.
His fingers freeze from cold,
His eyes are dark with desert dust,
His throat is coarse from thirst
He suffers thus for me and you.
I am a crucified thief,
Stealing away the love of God,
I am crucified with Christ
To be with Him Paradise.
The sun above for fear hides,
The earth beneath in pain shakes,
And buried soul’s awake to weep,
While angels bow and wink in tears.
Alone I stole, I stole
But here with Christ I die
He dies for crucified thieves,
And steals their sins away.
By John Mbiti.
a.What is the poem about?
b.Describe the attitude of the persona towards the ‘sinful’ God.
c.Why does the poet write the word ‘sinful’ in quotation marks?
d.Identify and illustrate two stylistic devices evident in the poem.
e.Give the contrast between the crucified thief and the ‘sinful’ God.
f.In note form, identify and illustrate the different reactions to the death of Christ.
g.I am a crucified thief. (Add a question tag).
Date posted: November 18, 2019.
- The history of alcohol in Kenya is not a sober one. It staggers back to the colonial days when anything stronger than peppered goat –...(Solved)
The history of alcohol in Kenya is not a sober one. It staggers back to the colonial days when anything stronger than peppered goat – head soup required an official letter from a chief. Today, Kenyans have taken their drinking to off-limits counters and require the return of the infamous Alcoblow to reduce the number of deaths occasioned by drunken driving.
Never mind the Alcoholic Drinks Control Act 2010, famously known as the “Mututho Law” which sought to control drinking hours. But Kenyans are special in many bottled ways. The World Health Global Status Report on alcohol reveals that they consume the highest amount of beer in East Africa. That thirsts a long throat, stretching back to the days when being spotted on a “White Only” establishment could lead to a stint in jail.
Consider the story of Hussein Warutere, as contained in Al Kag’s Living memories. Warutere – who requested his real name not be used – spent 13 years in the slammer because of, you could never guess this one…diarrhoea! Warutere, 99 years old and going blind, when he was interviewed for Living memories, was a rickshaw runner at Nairobi Norfolk Hotel. He was transporting Frederick Marshall, a pitiless police reservist, when he experienced a minor, “State of emergency’ with his bowels. The meaning of life depended on locating a toilet. Warutere had no option but to rush to a “Whites Only” loo. As fate would have it, he was done, just as Marshall was getting in, he was accused of “trying to assist the Mau Mau by planting a bomb in the loo”. After a 15 minute trial, he was found guilty. Warutere spent six years in Manyani Prison and another six in Mwea. The same strictness was observed regarding consumption of bottled alcohol, though not of the “Manyani” proportions.
And while explorers, missionaries, Indian coolies, and colonialists brought with them foreign spirits, enactment of laws prohibiting ‘natives’ from quaffing bottled stuff saw them resort to the more familiar brews. These were taken on special occasions – strictly by men. Alcohol, before the killer illicit brands from greedy “brew – trepreneurs” had a respected place in African Societies irrespective of one’s station in life, community, or geography. Indeed traditional brews were not the preserve of ne-er-do wells like today. They were drunk sparingly too, and thus few succumbed to thirst-induced poisoning as alcohol was not laced with chemicals that can interest the government Chemist and morticians.
Things changed with the lowering of the union Jack in 1963 – when East African Breweries turned 41 years since George and Charles Hurst founded it. Kenyans were free, and so were their collective thirsty throats. They could drink bottled booze with brand names like the defunct City Lager. With one shilling at the time, one could stagger home after tipping a waiter, a packet of cigarettes in hand.
Many people wanted to come to Nairobi for its perceived economic and social opportunities. The ensuing rural-urban migration saw the proliferation of slums in the 1970s. Most ruralites alas were uneducated. But they needed to earn a living all the same.
A study carried out in Nairobi’s Mathare slums revealed that four out of five women brought home the bacon, okay the boeflo, on the strength of selling busaa, a traditional brew popular in Western Kenya. Come the 1980s and chang’aa took over, becoming the major illicit liquor. To increase profit, brewers discovered the potency of methanol, an industrial alcohol used in antifreeze among other products. Methanol provided the direct injection preferred by those desiring to get to High Street fast, on the cheap. Despite methanol-laced chang’aa causing coma, blindness, and death, few Kenyans have let “kill-me-Quick” out of the grip.
The 2010 World Health Organization Global Status on Alcohol indicates that 70 percent of families in Kenya are affected by alcoholism despite the fact that the government has designated banned traditional liquor as “illicit” since independence. To rectify the situation, parliament in 2005 considered introducing the requirement that they be packaged after lifting the ban. But the government raised duty on alcohol, increasing beer prices forcing juicers to hunt illicit shebeens.
Kenya’s escalating cost of living has not sobered matters, either; instead it has pushed more tipplers off the prohibitive, but safe-bottled drinks, to down market brews that have, and are still killing.
(Adapted from an article from the Daily Nation by Kamau Mutunga, Monday October 3rd 2011)
a. What does the writer mean by “The history of alcohol in Kenya is not a sober one?”
b. Why was drunkenness less rampant among Africans during the colonial period?
c. State how the laws governing the consumption of alcohol were discriminatory during the colonial period.
d. Give evidence to show that Kenyans are unique in their drinking habits in the region.
e. List the ways alcohol causes death according to the passage.
f. Explain how the position of traditional brews changed after independence.
g. Why according to the writer do many Kenyans continue to drink illicit brews despite the danger they pose?
h. To increase profit, brewers discovered the potency of methanol, an industrial alcohol used in antifreeze among other products. (Rewrite the sentence beginning: The discovery………………………………..).
i) Explain the meaning of the following words as used in the passage:-
i) Bottled.
ii) Morticians.
iii) Proliferation.
iv) Prohibitive.
Date posted: November 18, 2019.
- Evaluate the value of x in 81x+1 + 34x = 246(Solved)
Evaluate the value of x in 81𝑥+1 + 34𝑥 = 246
Date posted: November 18, 2019.
- A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road...(Solved)
A 890kg culvert is made of a hollow cylindrical material with outer radius of 76cm and an inner radius of 62cm. It crosses a road of width 3m. Determine the density of the material used in its construction in Kg/m3 correct to one decimal place.
Date posted: November 18, 2019.
- Using logarithm table evaluate(Solved)
Using logarithm table evaluate 
Date posted: November 18, 2019.
- When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.(Solved)
When a certain number is divided by 48, 72 or 100 the remainder is 3 in each case. Find the number.
Date posted: November 18, 2019.
- Evaluate without using tables or a calculator the value of(Solved)
Evaluate without using tables or a calculator the value of
Date posted: November 18, 2019.
- There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3...(Solved)
There are 2 bags A and B. Bag A has 4 white balls and 6 red balls. Bag B has 2 white balls and 3 red balls. Each bag has an equal chance of being picked. If a bag is selected randomly and 2 balls picked with replacement in bag A and without replacement in bag B. Find the probability that:
(a) They are both white
(b) They are of different colours
(c) At least one ball is red.
(d) None of the balls is white.
Date posted: November 18, 2019.
- The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000,...(Solved)
The table below shows a monthly income tax rate for the year 2005
Peters monthly earning in 2005 were as follows:
Basic salary Ksh35,600, house allowance Kshs12,000, Medical allowance Kshs2,800, transport
allowance Kshs3,400, Peter was entitled to monthly tax relief of Kshs1,056.
Calculate:
(a) His monthly taxable income
(b) The monthly tax paid by Peter.
(c) In addition to tax the following deductions were made to Peters monthly income
- Service charge of Ksh100
- Health insurance fund 320
2% of his basic salary as widow and child pension . Calculate Peters net pay that month.
Date posted: November 18, 2019.
- Supposing you are given the opportunity to introduce the guest speaker, Peter Mugambi, who is a medical doctor. Write what you would say.(Solved)
Supposing you are given the opportunity to introduce the guest speaker, Peter Mugambi, who is a medical doctor. Write what you would say.
Date posted: November 18, 2019.
- Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each...(Solved)
Kamau bought a brand new motorbike for sh75000. Its depreciation rate is estimated at 12% per annum of its value at the beginning of each of the first two years and 10% per annum thereafter. What will be the value of the motorbike at the end of five years.
Date posted: November 18, 2019.
- Your friend has organized a farewell party for his sister who is travelling abroad. You
have been asked to give an impromptu speech. List the elements...(Solved)
Your friend has organized a farewell party for his sister who is travelling abroad. You
have been asked to give an impromptu speech. List the elements of your speech in the
order in which they will appear.
Date posted: November 18, 2019.