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A straight line passing through the point (-3,4) is perpendicular to the line whose equation is 2y-3x=11 and intersects the x-axis and y-axis at points P and Q respectively. Find P.
Date posted:
September 2, 2019
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Highlight four problems associated with monopoly market structure.
Date posted:
September 2, 2019
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State four reasons why diagonal communication needs to be encouraged in an organization.
Date posted:
September 2, 2019
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Explain four reasons why upward communication should be encouraged in an organization.
Date posted:
September 2, 2019
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Bartenge Enterprises started business on 1st May 2014 with Shs. 250,000 consisting of:
Cash at bank Shs.200, 000, Cash in Hand Shs. 30,000 and Furniture Shs. 20,000.
The following transactions took place during the month of May.
3rd May 2014, Motor Van worth Shs. 85,000 and stock of Shs. 25,000 were bought on credit
6th May 2014, more stock worth shs.10,000 was bought by cash
9th May 2014, withdrew money from bank sh 50,000 for office use
15th May 2014, Sold stock at cost to a customer on credit for shs. 18,500
19th May 2014, received a cheque for the full settlement of a debt owed from the transaction of 15th may 2014
23rd May 2014, paid Shs. 65,000 by cheque for the motor van bought earlier on credit
31st May 2014, paid Shs. 20,000 cash for the stock bought on credit
Required:
Prepare the balance sheet of Bartenge Holdings as at 31st May 2014.
Date posted:
September 2, 2019
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The National Transport Safety Authority (NTSA) is a department within the transport sector in Kenya. Highlight four benefits Kenyans enjoy due to the establishment of NTSA
Date posted:
September 2, 2019
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Explain five factors that may influence the choice of distribution channel for milk.
Date posted:
September 2, 2019
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A (50°S,20°E) and B(50°S,60°W) are two points on the earth’s surface. Calculate the distance between A and B in kilometer along the great circle. (take radius of the earth to be 6370km).
Date posted:
August 30, 2019
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A contractor employs 40 men to do a piece of work in 60 days each man working 9 hours a day. He is then requested to do the job in 48days. How many more men working l0 hours a day does he need to employ.
Date posted:
August 30, 2019
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Make P the subject of the formula given.
Date posted:
August 30, 2019
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The data below shows marks scored by 8 form four students in Ikutha district mathematics contest 44,32,67. 52, 28, 39, 46, 64.Calculate the mean absolute deviation.
Date posted:
August 30, 2019
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Write in the simplest form using a rational denominator.
Date posted:
August 30, 2019
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The diagram below not drawn to scale shows part of the curve y = x2 + 5 and the line y = 8 – 2x. The line intersects the curve at a point C and D. Lines AC and BD are parallel to the y-axis.
(a) Determine the coordinates of C and D
(b) Use integration to calculate the area bounded by the curve and x – axis between the points C and D.
(c) Calculate the area enclosed by the lines CD, CA, BD and the x-axis.
(d)Hence determine the area of the shaded region.
Date posted:
August 30, 2019
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A form four class at Kiptulwo secondary school has 15 girls and 25 boys. The probability of a girl completing the secondary school course is 3/5 and that of a boy is 4/5.
(a) A student is picked at random from the class. Find the probability that;
(i)The student picked is a girl and will complete the course.
(ii) The student will not complete the course.
(b)Two students are picked at random from the class. Find the probability that;
(i) Both are girls
(ii)Both are of the same gender and will complete the course.
Date posted:
August 30, 2019
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The table below shows the number of defective bolts from a sample of 40.Calculate the standard deviation of the data above.
Date posted:
August 30, 2019
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OAB is a sector of a circle centre O and radius 7cm. Arc AB subtends 250 at the center and C is a point on OB such that OCA is 900. Calculate the area of the shaded region
Date posted:
August 30, 2019
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Given that the dimensions of a rectangle are 20.0cm and 25.0cm find the percentage error in calculating the area.
Date posted:
August 30, 2019
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The base and perpendicular height of a triangle measured to the nearest centimeter are 6cm and 4cm respectively. Find
(a) The absolute error in calculating the area of the triangle.
(b) The percentage error in the area giving the answer to 1 decimal place.
Date posted:
August 30, 2019
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In the figure below, O is the centre of the circle. The reflex angle POS =2540 and angle PRT = 520 Calculate
a) Angle QSR
b) Angle QPT
c) Angle QOT, reflex
d) Angle OST
Date posted:
August 30, 2019
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A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the actual area in hectares of the land.
Date posted:
August 29, 2019
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Solve the equation below.
72x – 8 x 7x + 7 = 0
Date posted:
August 29, 2019
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The velocity of a particle t seconds after passing a fixed point is given by v = 2t2 – 13t + k where k is a constant. The particle has a maximum displacement of 13m from the fixed point when t = ½ seconds.
(a) Calculate the value of k
(b) Find the equation of the displacement of the particle i.e from the fixed point after t seconds
(c) Calculate the distance moved by the particle during the fourth second
Date posted:
August 29, 2019
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Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to a monthly relief of sh.1056. The table below shows the rates of taxation.
When his salary was increased by 50% the net tax increased by 66.25 % to sh.9036 per month.
(a) What was his net tax in K£ p.a before the salary increase
(b) Calculate his salary before the increase
(c) Calculate the percentage increase in his net pay after the salary increase
Date posted:
August 29, 2019
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A school’s environmental club consists of 7 boys and 5 girls. Three members are to be randomly chosen to be officials of the club. Use a tree diagram to find the probability that:
(a) All the officials are boys
(b) One official is a girl
Date posted:
August 29, 2019
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The diagram below represents a Cuboid ABCDEFGH in which FG =4.5cm, GH =8cm HC=6cm
(a) Calculate the length FC
(b) (i) The size of the angle between the lines FC and FH
(ii) Size of the angle between the line AB and FH.
(c) The size of the angle between the planes ABHE and the plane FGHE.
(d) The total surface area of the cuboid (closed)
Date posted:
August 29, 2019
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The figure below shows a direct –belt drive system consisting of two pulleys of radii 40cm and 25cm. The centres of the pulleys x and y are 86cm apart. Calculate the total length of the belt to4 s.f.
Date posted:
August 29, 2019
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The bearing of towns P and Q on a horizontal ground from a tower are 050o and 142o respectively. The angle of elevation of the top of the tower from town P is 34o. Given that P is 200m from the top of the tower and Q is 120m from the base of the tower. Determine,
a) The height of the tower.
b) The angle of elevation of the top of the tower from Q.
c) The distance between the two towns P and Q.
Date posted:
August 29, 2019
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Two planes P and Q are at (360N 1250W) and (360N 550E) respectively. Calculate the distance in nautical mile between P and Q measured along the circle through the North Pole.
Date posted:
August 29, 2019
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Given that the position vector of A, B and C are 3i – 2j, -6i +4j and -9i – 3j respectively.
a) State the column vectors,
i) AB
ii) CB
b) Find the distance from A to C through B
c) Find the co-ordinates of the midpoint of AC
d) If point C1 is the image of C under translation vector 
, find the co-ordinates of C1.
Date posted:
August 29, 2019
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h varies directly as v and inversely as the square of r. Find the percentage change in h if v is increased by 20% and at the same time r is increased by 50%.
Date posted:
August 29, 2019