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Give the Life skills Christians need to fight corruption in Kenya today
Date posted:
June 20, 2019
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From the Mt- Mariah experience explain what Abraham and his descendant
Date posted:
June 20, 2019
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Explain four ways children are made responsible members in traditional African communities.
Date posted:
June 20, 2019
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with reference to the story of the fall of human beings in Genesis e, state four effects of sin on Adam and Eve.
Date posted:
June 20, 2019
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A student took the measurements of his classroom and gave the width as 7m and the length as 9m.
If there is an error of 2% in each measurement, determine the greatest value of x+ y/x
if x and y are the width and length of the classroom respectively.
Give your answer to 4 decimal places.
Date posted:
June 20, 2019
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The floor of a room is in the shape of a rectangle 10.5 m long by 6 m wide. Square tiles of
length 30 cm are to be fitted onto the floor.
(a) Calculate the number of tiles needed for the floor.
(b) A dealer wishes to buy enough tiles for fifteen such rooms. The tiles are packed in cartons
each containing 20 tiles. The cost of each carton is Kshs. 800. Calculate
(i) the total cost of the tiles.
(ii) If in addition, the dealer spends Kshs. 2,000 and Kshs. 600 on transport and subsistence
respectively, at what price should he sell each carton in order to make a profit of 12.5%
(Give your answer to the nearest Kshs.)
Date posted:
June 20, 2019
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The figure below is a circle of radius 5cm. Points A, B and C are the vertices of the triangle
ABC in which ABC = 60o and ACB=50o which is in the circle. Calculate the area of ABC
Date posted:
June 20, 2019
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A farmer decides to put two-thirds of his farm under crops. Of this, he put a quarter under
maize and four-fifths of the remainder under beans. The rest is planted with carrots.
If 0.9acres are under carrots, find the total area of the farm
Date posted:
June 20, 2019
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The scale of a map is 1:50000. A lake on the map is 6.16cm2. find the actual area of the lake in hactares.
Date posted:
June 20, 2019
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Calculate the area of the shaded region below, given that AC is an arc of a circle centre B. AB=BC=14cm CD=8cm and angle ABD = 750
Date posted:
June 20, 2019
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(a) Expand (1 – 3x)5
(b) use your expansion to estimate the value of (0.997) Correct to 4 d.p.
Date posted:
June 20, 2019
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Use the expansion of (x – 0.2)5 to find the exact value of 9.85
Date posted:
June 20, 2019
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Solve for x in the equation;
log (x + 24) = 2 log 3 + log (9 – 2x).
Date posted:
June 20, 2019
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a) Using binomial expansion, determine the first five terms of the expansion: (2-1/x)8
b) Use the expansion above to evaluate (1.75)8
Date posted:
June 20, 2019
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The figure O and P are centres of two intersecting circles. ABE is tangent to circle BCD
at B angle BCD is 42o
(a) Giving reasons for your answer, find:-
(i) CBD
(ii) DOB
(iii) DAB
(iv) CDA
b) Show that ADB is isosceles
Date posted:
June 20, 2019
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The figure below shows two intersecting circles radii 8 cm and 6 cm respectively.
The common chord AB = 9cm ad P and Q are the centres as shown:
(a) Calculate the size of angles:-
(i) APB
(ii) AQB
(b) Calculate the area of the shaded region
Date posted:
June 19, 2019
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In the figure below ABC is a tangent to the circle at B. given that
Find the sizes of the following angles giving reasons in each case:
a)BDG
b)DGE
c)EFG
d)CBD
e)BCD
Date posted:
June 19, 2019
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The figure below shows a circle centre O. AB and PQ are chords intersecting externally
at a point C. AB = 9cm, PQ = 5cm and QC = 4cm. Find the value of x
Date posted:
June 19, 2019
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Two pipes A and B can fill a tank in 3hrs and 4 hrs respectively. Pipe C can empty the full tank
in 6 hrs.
i) How long would it take pipes A and B to fill the tank if pipe C is closed?
ii) Starting with an empty tank, how long would it take to fill the tank with all pipes running?
Date posted:
June 19, 2019
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The figure below shows two pulleys of radii 6cm and 4cm with centres A and B respectively.
AB = 8cm. The pulleys are connected by a string PQXRSY
Calculate:
(a) Length PQ
(b) PAS reflex
(c) Length of arc PYS and QXR
(d) The total length of the string PQXRSY
Date posted:
June 19, 2019
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In the figure below angle BAC =52o, angle ACB = 40o and AD = DC. The radius of
the circle is 7cm. EF is a tangent to the circle
(a) Find; giving reasons
(i) angle DCF
(ii) angle AOB (obtuse)
(b) Calculate the area of the shaded segment AGB
Date posted:
June 19, 2019
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The figure below shows two circles centres A and B and radii 6 cm and 8 cm respectively. The
circles intersect at P and Q. Angle PAB = 420 and angle ABQ = 300.
(a) Find the size of ∠PAQ and PBQ.
(b) Calculate, to one decimal place the area of:
(i) Sector APQ and PBQ.
(ii) Triangle APQ and PBQ.
(iii) The shaded area (take π 22)
Date posted:
June 19, 2019
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A customer deposited Ksh.15,500 in a savings account. Find the accumulated amount
after 3½ years if interest was paid at 16% per annum compounded semi-annually
Date posted:
June 19, 2019
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The table below shows the annual income tax rates for a certain year.
Kiptoo earns a monthly salary of Kshs.25000. He is entitled to house and medical allowances
of Kshs.12000 and Kshs.3000 respectively
Calculate:
(a) His taxable income per month
(b) His monthly tax payable
(c)His annual tax payable
Date posted:
June 19, 2019
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A company employee earns a basic salary of Kshs.25,000 and is also given taxable allowances
amounting to Kshs.10,480.
Using the table of taxation above:-
(a) Calculate the employee’s taxable income
(b) If the employee is entitled to a personal tax relief of Kshs.800 per month, determine the net tax
(c) If the employee was given 40% increase in his income, calculate the percentage increase
in his income tax
Date posted:
June 19, 2019
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A certain amount of money was invested at compound interest of 10% compounded
every two years for ten years. Given that the investor invested a total of 500,000/= at the
end of the ten years, find the amount of money invested to the nearest shillings
Date posted:
June 19, 2019
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The cash price of a T.V set is Ksh. 26,000. Linda bought the set on hire purchase terms by
paying a deposit of Ksh. 6,000 and the balance by 24 equal monthly installments of
Khs. 1,045.30. Find the compound rate of interest per year.
Date posted:
June 19, 2019
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What would Kshs.15000 amount to after 3years at 16% per annum compounded quarterly?
Date posted:
June 19, 2019
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Income rates for income earned were charged as follows:
Income in Kshs. p.m Rate in Kshs. per sh.20
1- 8400 2
8401- 18,000 3
18,001- 30,000 4
30,000 - 36,000 5
36,001 - 48,000 6
48,001 and above 7
A civil servant earns a monthly salary of Ksh.19,200. His house allowance is Ksh12,000 per
month. Other allowces per month are transport Ksh.1300 and medical allowance Ksh.2300.
He is entitled to a family relief of Kshs. 1240 per month.
Determine:
a) (i) His taxable income per month.
(ii) Net tax. b) In addition, the following deductions were made
NHIF shs. 230
Service charge Kshs. 100
Loan repayment Kshs. 4000
Co-operative shares of Kshs. 1200.
Calculate his net salary per month.
Date posted:
June 19, 2019
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Use the taxation rates in the table below to answer the questions that follow;-
The manager of a certain company is entitled to a monthly personal relief of shs.3000
and her tax (PAYE) is kshs.9000 per month she is also deducted NHIF shs.350 per month,
WCPS shs.800 per month and cooperative shares shs.1200 per month, calculate
(a) The managers total deductions per month
(b) Total tax per month
(c) The manager’s annual gross salary
(d) The manager’s monthly basic salary if her monthly allowance and medical allowances
are 10000 and 2000 shillings
Date posted:
June 19, 2019