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Hellen’s earnings are as follows:
Basic salary sh. 38000 per month
House allowance sh. 14000 per months
Travelling allowance sh.8500 per month and
Medical allowance Ksh.3300 per month.
She is given a personal relief of Ksh. 12672
The table for payable tax is shown below
Income in K£ p.a Payable tax rate in Kshs per K£
0-6000 2
6001-12000 3
12001-18000 4
18001 -24000 5
24001-30000 6
30001-36000 7
36001-42000 8
42001-48000 9
Over 48000 10
Calculate
(a) (i) Hellen’s taxable income in K£ p.a
(ii) Her P.A.Y.E
(b) Hellen is deducted the following items per month
NHIF Ksh.320
Cooperative shares Ksh.2000
Loan repayment Ksh5000
Determine her net salary per month
Date posted:
September 30, 2019
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The figure below shows a battery of e.m.f 12V and internal resistance of 2 ohms connected to resistors and an ammeter.
i) Determine the ammeter reading when the switch S, is open.
ii) Find the ammeter reading when the switch is closed.
Date posted:
September 30, 2019
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Differentiate between Core 2 Duo and Quad Core processors in terms of internal architecture
Date posted:
September 30, 2019
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Read the passage below and fill in each blank spaces with an appropriate word.
It is an indisputable fact that agriculture 1 ......the backbone of the economy. It is therefore 2 ..... that we stop over-relying on the rain-fed agriculture. Israel is a classic 3 ........ Of a country that has reclaimed its deserts and put them 4 .......use. Land which was 5 ............ ‘useless has been turned around and 6 .............. useful. Egypt which solely depends on 7 ............. River Nile is a leading exporter of fruits and cereals. For our country to 8 ........... self-sufficiency in food production and to get a 9 ............... for export, land should be utilized to the 10 ...............This is only possible with irrigation.
Date posted:
September 30, 2019
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The traffic lights serve as output devices for a computerized traffic system. Name the appropriate input device for this system.
Date posted:
September 30, 2019
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Position vectors A and B are 3i+2j+k and –i+3j+4k respectively. Determine the magnitude of AB.
Date posted:
September 30, 2019
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In an X-ray tube, the accelerating voltage is 100KV.
i) Calculate the kinetic energy of the electrons arriving at the target (take e = 1.6 x 10-19C)
ii) If 0.5% of the kinetic energy is converted to X-rays, determine the minimum wavelength of the emitted X-rays (take h = 6.63 x 10-34Js and C = 3.0 x 108m/s)
Date posted:
September 30, 2019
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The first term of a geometric sequence is 16 and the fifth term is 81 find the sum of the first 10 terms giving your answer correct to 2 decimal places.
Date posted:
September 30, 2019
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The cost of water is partly constant and partly varies as the number of units consumed. A family that use 10 units pays sh. 320 and a family that uses 12 units uses sh. 370 for water. Calculate the amount paid by a family that uses 20 units of water in a month.
Date posted:
September 30, 2019
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(a) What is the hexadecimal equivalent of 7478
(b) Use one’s compliment to solve 610
Date posted:
September 30, 2019
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Differentiate between the following breeds of livestock.
i) New Zealand white and Californian white.
ii) Large white and landrace
Date posted:
September 30, 2019
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Give reasons why the burning of Bushes as a methods of land clearing should be discouraged.
Date posted:
September 30, 2019
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Place the following tools in their respective categories and state their uses.
a) Panga
b) Shovel
c) Pick axe
d) Garden line
e) Wheelbarrow
f) Sprayer
g) Ripsaw
h) Tape measure
i) Scraper
j) Marking gauge
Date posted:
September 30, 2019
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State TWO circumstances under which interviews may be used as a method of gathering information
Date posted:
September 30, 2019
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A coin is placed at the bottom of a beaker filled with water to a height of 2.4cm as shown in the figure below. Given that the refractive index of water is 1.33, determine the apparent depth of the coin.
Date posted:
September 30, 2019
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Give four reasons why Agriculture considered important in Kenya’s economy.
Date posted:
September 30, 2019
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A farmer with one hectare of land requires 40kg of n in his farm. He applied CAN which costs shs 35 per kg. CAN contain 20kg N.
(a) Calculate the amount of C.A.N the farmer requires
(b) How much will a farmer with one and a half hectares spend to apply in his farm?
(c) Name two types of compound fertilizers used by farmers
Date posted:
September 30, 2019
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A certain car battery is rated 30Ah. Determine the amount of current it can supply in 10 minutes.
Date posted:
September 30, 2019
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Three pegs R,S and T are on the corners of a triangular plain field. R is 300m from S on a bearing of 300o and T is 450 m directly south of R
(a) Using a scale of 1:6000 draw a diagram to show the positions of the pegs
(b) Use the scale drawing to determine:
(i) The distance between T and S in metres.
(ii) The bearing of T from S
(c) Find the area of the field, in hectares correct to one decimal place
Date posted:
September 30, 2019
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State four divisions of livestock farming.
Date posted:
September 30, 2019
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Two towns A and B are 360km apart. Msamaria left A at 8.15am and travelled towards B at an average speed of 90km/hr. After 21/3hours a minibus left B towards A at an average speed of 110km/hr
(a)(i) At what time did the two vehicles meet?
(ii) How far from A did they meet?
(b) A motorist started from his home at 10.30am on the same day towards B at a speed of 100km/hr and arrived at B at the same time as Msamaria. Calculate the distance from A to his house.
Date posted:
September 30, 2019
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Give a reason why when a passenger jumps from a floating boat, the boat moves backwards.
Date posted:
September 30, 2019
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A trailer of mass 30 tonnes travelling at a velocity of 72km/h runs onto a stationary bus of mass 10 tonnes.The impact takes 0.5 seconds before the two vehicles move off together at a constant velocity for 15 seconds. Determine:
i) The common velocity.
ii) The distance moved after the impact.
iii) The impulsive force on the trailer on impact.
Date posted:
September 30, 2019
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Draw the differences between the digestive system of a ruminant and a non- ruminant.
Date posted:
September 30, 2019
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The figure below shows a cone with water filled as shown below.
(a) Calculate the volume of water in the vessel.
(b) Metal hemisphere is completely submerged in the water, causing the water level to rise by 6cm. calculate
(i) The radius of the new water surface.
(iii) The diameter of the hemisphere.
Date posted:
September 30, 2019
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Use a ruler and compasses only in this question.
(a) Construct triangle ABC such that AB=6cm, AC=8.5cm and 0
(b) Draw a bisector of line AB from M on AB to meet BC at N.
(c) Determine the areas;
(i) MBN
(ii) AM NC
(d) Express the ratio of the area MBN to AMNC in the form 1: n
Date posted:
September 30, 2019
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The diagram below shows parts of a plunge dip.
i) Name parts A, B, C and D
ii) Give two reasons why cattle are held for some time in part C.
iii) State two maintenance practices carried out on part B.
Date posted:
September 30, 2019
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The figure below shows a trolley moving on a circular rail with a vertical plane, given that the mass of the trolley is 250g and the radius of the rail is 1.6m.
i) Determine the minimum velocity at which trolley passes point X.
ii) Find the angular velocity at point Z.
iii) The force exerted on the rail at this point.
Date posted:
September 30, 2019
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A swimming pool 30m long is 1m deep at its shallow end and 4m deep at its deep end. The pool is 4m wide
(a) Calculate the volume of water in cubic metres when the pool is full.
(b) A circular pipe of diameter 14cm is sued to empty the swimming pool. Water flows through the
pipe at a speed of 5m per second. Calculate the time it would take to the nearest minute to empty
the tank.
Date posted:
September 30, 2019
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A solid cylinder with radius 7cm and height 5cm is melted down and recast into a spherical ball. Calculate to 2 decimal place the radius of the ball.
Date posted:
September 30, 2019