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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
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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
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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
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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
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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
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Evaluate 
Date posted:
November 18, 2019
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Indicate the correct intonation in the following sentences using “F” for falling and “R” for rising intonation.
(i) How did you get here?
(ii) You actually met the president?
(iii) What an amazing student you are!
Date posted:
November 18, 2019
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Find the value of x given that log(12 − 2x) − 1=log x − log 15.
Date posted:
November 18, 2019
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(a) Expand and simplify (3 −x)5 up to the fourth term
(b) Use the expansion above to estimate the value of (2.98)5 correct to 3d.p
Date posted:
November 18, 2019
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Underline the stressed syllable in each of the following words.
(i) Reply
(ii) advice
(iii) abuse
(iv) friendly
(v) colleague
Date posted:
November 18, 2019
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Given that vectors OA= −8i + 2j and OB=6i + 4j and that T divides AB in the ratio 5:3, find TB in terms of i and j.
Date posted:
November 18, 2019
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Solve 2 Cos2x − 2 Sin x=1 for the interval 0≤ x ≤ 3600.
Date posted:
November 18, 2019
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Give a word that is pronounced in the same way as the words below.
(i) earn -
(ii) time -
(iii) bruise -
(iv) main -
Date posted:
November 18, 2019
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Three quantities A, m and n are such that A varies directly as m and inversely as the square root of n.
When m=6 and n=16 A=14. Express A in term of m and n.
Date posted:
November 18, 2019
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The image of a point P under the transformation represented by the matrix 
is P1(6,3) find the co−ordinates of P.
Date posted:
November 18, 2019
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Read the passage below and fill in each blank space with the most appropriate word.
It …………. be impossible for us to continue living in this world if ……..……..…. of us knew exactly ………………….fate had in …………………for him. So God in His mercy ………………….. the future from all His creatures, and reveals only the present. ………………… a lamb had reason like a man, it could not ……..…………happily, knowing it was destined to be killed for human food. ………………….., being quite ignorant of its fate, it is happy to the last minute of its short life contentedly …………………….in the meadow, and even in its innocence licks the hand of the butcher …………………….is about to slaughter it.
Date posted:
November 18, 2019
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Cherop's farm is in the shape of a trapezium ABCD shown below. A borehole is to be drilled in the farm such that it is closer to AB than to side AD and closer to corner C than to corner D. Shade the region of all points where the borehole can be drilled.
Date posted:
November 18, 2019
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Without using a calculator or mathematical tables simplify
Date posted:
November 18, 2019
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Given that the column vectors
(a) Express a as column vector and hence calculate its magnitude.
(b) Given that the midpoints of PQ is (−3,1) and Q(7,5), obtain the co−ordinates of P.
(c) A translation T(2 1) maps triangle ABC onto triangle A′B′C′. Given the co–ordinates A(2,3), B(2,5) and C(4,4). Find the co-ordinates of A′B′C′.
Date posted:
November 18, 2019
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The figure below shows a circle of radius 8cm centre O. B is a point on the circumference such that 0
(a) Find the size of
(i)
Date posted:
November 18, 2019
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Given that log 5=0.6990 and log 7=0.8451, find log 24.5
Date posted:
November 18, 2019
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Njoki earns a basic salary of sh 11,800 per month. She is also paid commissions as follow:
Commissions
For sales up to sh100,000 0%
For sales above sh.100,000
(i) For the first sh50,000 2.5%
(ii) For the next sh50,000 3.5%
For amount above sh200,000 5%
In a certain month, she sold goods worth sh.328,000. Find her total earnings that month.
Date posted:
November 18, 2019
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Describe the events that led to the singing of the Benedictus.
Date posted:
November 18, 2019
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The position vectors of P,Q and R are 
Show that P, Q and R are collinear.
Date posted:
November 18, 2019
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The diagram below show a circle centre O and the radius OA=5cm. Line AB is a tangent of the circle at A and its length is 12cm. Find the area of the shaded region.
Date posted:
November 18, 2019
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Given that Sin(x +200) = −0.6776 find x, for 00 ≤ x ≤ 3600
Date posted:
November 18, 2019
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Solve the following simultaneous equations
x + y = 3
6y −xy = 70
Date posted:
November 18, 2019
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Use the table of reciprocals and squares to find
Date posted:
November 18, 2019
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Explain the relevance of Amos’ teaching on remnant and restoration to Christians today.
Date posted:
November 18, 2019
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Convert the following binary number 1101.012 to decimal.
Date posted:
November 18, 2019