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In the triangle ABC below. AC = 8cm and BC = 5cm and angle BCA = 30°. Point D divides BC in the ratio 1: 4 and point E divides AC in the ratio 2: 3. Find the area of the quadrilateral ABDE.
Date posted:
September 6, 2019
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The figure below shows a positively charged metal plate with an earthing connection. State and explain the final charge of the plate.
Date posted:
September 6, 2019
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In an experiment to determine the molar heat of reaction when zinc displaces copper, 0.4g of zinc powder were added to 25.0cm³ of 2.0M copper (II) sulphate solution. The temperature of copper (II) sulphate solution was 24ºC, while that of the mixture was 36ºC.
(i) Other than increase in temperature, state and explain the observations which were made during the reaction.
(ii) Calculate the heat change during the reaction. (Specific heat capacity of the solution = 4.2Jgˉ¹Kˉ¹ and the density of the solution = 1g/cm³.
(iii) Determine the molar heat of displacement of copper by zinc. (Zn = 65).
Date posted:
September 6, 2019
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Use reciprocal and square tables to calculate to 3 significant figures the value of:
Date posted:
September 6, 2019
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The figure below shows a buoy of capacity 40 litres and mass 10kg. It is held in position in sea water of
density 1.04g/cm3 by a light cable fixed to the bottom so that ¾ of its volume is below the water surface.
Determine the tension in the cable.
Date posted:
September 6, 2019
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If three numbers 36, 54 and x have a GCD of 6 and LCM of 216. Find the least value of x
Date posted:
September 6, 2019
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A car decelerates uniformly from a velocity of 20m/s to rest in 4 seconds. It takes 4 seconds to reverse with uniform acceleration to its original starting point.
(i) Sketch a velocity time graph for the motion of the car.
(ii) Use your sketch in c (i) to determine the total displacement of the car.
Date posted:
September 6, 2019
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The displacement S metres of a body moving along a straight line after t seconds is given by
(a) Find its initial acceleration.
(b) Calculate:-
(i) The time when the body was momentarily at rest.
(ii) Its displacement by the time it comes to rest momentarily
(c) Calculate the maximum velocity attained
Date posted:
September 6, 2019
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The figure below shows the displacement – time graph of the motion of a particle.
State the nature of the motion of the particle between?
(i) AB
(ii) BC
(iii CD
Date posted:
September 6, 2019
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In the figure, E is the midpoint of AB and OD:OB = 2:5 and F is the point of intersection of OE and AD.
(b) Given further that AF = tAD and OF = hOE where t and h are scalars, find the values of t and h
(c) Show that the points O, F and E are collinear
Date posted:
September 6, 2019
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A substance of mass 2kg and specific heat capacity 400J/kg/k initially at 800C is immersed in water at 190C. If the final temperature of the mixture is 200C. Calculate the mass of water. (Specific heat capacity of water = 4200J/kg/k)
Date posted:
September 6, 2019
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The figure below shows a model of a solid in the shape of a frustum of a cone with a hemispherical top.
The diameter of the hemispherical top is 70cm and is equal to the diameter of the top of the frustum. The
frustum has a base diameter of 28cm and a slant height of 60cm.
(a) Calculate the area of the hemispherical surface.
(b) Calculate the slant height of the cone from which the frustum was cut.
(c) Calculate the total surface area of the model
Date posted:
September 6, 2019
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The diagram below shows two circles centre A and B which intersect at point P and Q. Angle PBQ = 400 and angle PAQ = 700, and PA = AQ = 8cm.
Use the diagram to calculate to two d.p
(a) The length PQ
(b) The length PB
(c) Area of minor segment of circle centre A
(d) Area of minor segment of circle centre B
(e) The area of shaded region.
Date posted:
September 6, 2019
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1g of element T was completely converted to its chloride, TCl2 The mass of the chloride formed was 3.96g. Calculate the relative atomic mass of element T. (Cl = 35.5).
Date posted:
September 6, 2019
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A force of 20N is used to stretch a spring through 5cm. Calculate the elastic potential energy stored in the spring.
Date posted:
September 6, 2019
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Three partners Mutua, Muthoka and Mwikali contributed Sh. 600,000, Sh. 400,000 and Sh. 800,000
respectively to start a business of a matatu plying Mbumbuni – Machakos route. The matatu carries 14
passengers with each paying Sh. 250. The matatu makes two round trips each day and ever full. Each day
Sh. 6000 is used to cover running costs and wages.
(a) Calculate their net profit per day.
(b) The matatu works for 25 days per month and is serviced every month at a cost of KSh.10, 000. Calculate their monthly profit in June.
(c) The three partners agreed to save 40% of the profit, 24% to be shared in the ratio of their contribution. Calculate Muthoka’s share in the month of July
(d) The matatu developed mechanical problems and they decided to sell it through an agent who charged a commission of 5% on selling price. Each partner received KSh. 475,000 from the agent after he had taken his commission. Determine the price at which the agent sold the matatu.
Date posted:
September 6, 2019
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A pipe of radius 3mm is connected to another pipe of radius 9mm. If water flows in the water pipe at a speed of 2m/s, what is the speed in the narrower pipe?
Date posted:
September 6, 2019
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Mutua bought 8 pairs of trousers and six shirts at Sh. 4160. Had he bought twice as many shirts and half
as many trousers, he would have saved Sh. 160. Find the cost of each item.
Date posted:
September 6, 2019
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A uniform 120m metal rod is pivoted near one of its ends and kept in equilibrium by a spring balance as shown in the figure below.
The reading indicated by the spring balance is 2.0N. Work out the mass of the metal rod. (g = 10N/kg)
Date posted:
September 6, 2019
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The spiral springs shown in the figure below are identical. Each spring has a constant K = 300N/m.
Determine the extension caused by the 150N weight (Ignore weight of springs and connecting rods)
Date posted:
September 6, 2019
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Illustrate bonding in carbon (II) oxide using dot and cross (C – 6, O – 8).
Date posted:
September 6, 2019
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A micrometer screw gauge has a zero error of -0.02mm. It is used to measure the diameter of a wire. If the actual diameter of the wire is 0.28mm. Draw the micrometer screw gauge showing the diameter of the wire.
Date posted:
September 6, 2019
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The following trial balance was extracted from the books of J.B. Traders as at 31st Dec. 2014.
Stock on 31/12/2014 was valued at sh. 13,000
Required: Prepare a Trading Profit and Loss account for the period ended 31/12/2014
Date posted:
September 5, 2019
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Luanda Traders had the following balances at 1st Jan 2015 Cash Sh. 180,000 (Dr.) Bank Sh. 67,000 (Cr.) During the month of Jan 2015, the following transaction took place;
Jan 2 cash sales Sh. 14,500
Jan 6 Mwangi a debtor settled his account of Sh. 45,000 by cheque less 5% cash discount
Jan 8 Sold goods on credit with Sh. 25,000
Jan 14 Paid salaries in cash 50,000
Jan 18 Settled Laboso‘s account of 60,000 by cheque less 3% cash discount.
Jan 21 Received a cheque of 84,000 from Rotich after deducting 10% cash discount
Jan22 Cash purchases paid by cheque sh. 65,000
Jan 24 Cash sales worth 340,000 directly banked Sh. 300,000 cash into the account
Jan 28 Took cash 39,000 for children‘s school fees
Jan 31 Banked all cash except Sh. 36,000
Prepare a dully balanced three column cash book
Date posted:
September 5, 2019
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Prepare a duly balanced three column cash book from the following information extracted from the books of Omwami traders.
Jan 1st Balance b/d cash sh.4,000, Bank Sh.27,000
Jan. 4th Settled Olweny creditors account of shs.8000 by cheque having deducted 6% cash discount
Jan 8th Received shs.6,000 cash from Mutoma traders
Jan 16th Deposited shs.4,500 to bank account
Jan 24th Withdrew shs.9200 from bank for private use
Jan 29th Received shs.19950 from Kahawa by cheque after allowing 5% discount
Jan 31st Banked all the cash leaving shs.1500 in the office
Date posted:
September 5, 2019
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The table below shows the demand and supply schedules for product A in a week.
Using the information given in the table above, draw the demand and supply curves showing the market equilibrium for the product.
Date posted:
September 5, 2019
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In the figure below PQRS is a rectangle in which PS = 10cm and PQ = 6cm. M and N are midpoints of
QR and RS respectively. Find the area of the shaded part.
Date posted:
September 5, 2019
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A line L passes through point (3, 1) and is perpendicular to the line 2y = 4x + 5. Determine the equation
of L
Date posted:
September 5, 2019
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The apparatus shown below were set-up to prepare and collect hydrogen sulphide gas.
(a) Name substance G.
(b) Complete the set up to show how a dry sample of hydrogen sulphide gas is collected.
Date posted:
September 5, 2019
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An organic compound Y was analysed and found to contain carbon, hydrogen and oxygen only. 1.29g of Y on complete combustion gave 2.64g of carbon (IV) oxide and 0.81g of water. Find the empirical formula of Y. (C = 12, H = 1, O = 16).
Date posted:
September 5, 2019