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A group of people planned to contribute equally towards a water project which needed kshs. 2,000,000 to complete. However, 40 members of the group withdrew from the project. As a result, each of the remaining members were to contribute ksh 2500 more.
(a) Find the original number of members in the group.
(b) Forty five percent of the value of the project was funded by Constituency Development Fund (CDF). Calculate the amount that would be made by each of the remaining members of the group.
(c) Members contribution were in terms of labour provided and money contributed. The ratio of the value of labour to the money contributed was 6:19, calculate the total amount of money contributed by the members.
Date posted:
August 14, 2019
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B is 102km on the bearing of 112° from A. C is 94km on the bearing of 062° from B D is 073° from A and 336° from C.
(a) Using a scale of 1cm to represent 20km,draw a diagram to show the positions of A,B,C and D.
(b) Using your diagram, determine;
i) The bearing of B from D and A from C.
ii) The distance AC and BD
Date posted:
August 14, 2019
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Two similar containers have base areas 25cm2 and 324cm2 respectively. Calculate the Capacity of the larger container correct to one decimal place if the capacity of the smaller one is 8cm3
Date posted:
August 14, 2019
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Over what range of input voltage will the Zener circuit shown in Fig. 3.68 maintain 30 V across 2000 Ω load, assuming that series resistance R = 200 Ω and Zener current rating is 25 mA ?
Date posted:
August 14, 2019
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What value of series resistance is required when three 10-watt, 10-volt, 1000 mA Zener diodes are connected in series to obtain a 30-volt regulated output from a 45 volt d.c. power source ?
Date posted:
August 14, 2019
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The circuit of Fig. 3.66 uses two Zener diodes, each rated at 15 V, 200 mA. If the circuit is connected to a 45-volt unregulated supply, determine:
(i) The regulated output voltage
(ii) The value of series resistance R
Date posted:
August 14, 2019
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Two trains T1 and T2, traveling in opposite directions on parallel tracks are just beginning pass one another. Train T1 is 72metres long and is traveling at 108km/hr.T2 is 78 metres Long and traveling at 72km/hr. Find the time in seconds the two take to completely pass one another.
Date posted:
August 14, 2019
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A 10-V Zener diode is used to regulate the voltage across a variable load resistor [See fig. 3.65]. The input voltage varies between 13 V and 16 V and the load current varies between 10 mA and 85 mA. The minimum Zener current is 15 mA. Calculate the value of series resistance R.
Date posted:
August 14, 2019
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Pipe A empties a full tank in 8 hours, pipe B empties in 6 hours and pipe C empties in 3 hours. If all the three pipes are open for 30 minutes and then pipe A closed , How long will it take to empty a full tank.
Date posted:
August 14, 2019
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Find the equation of a perpendicular bisector of a line AB if the coordinates of A and B are (-4,-2) and (6,2) respectively.
Date posted:
August 14, 2019
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A 7.2 V Zener is used in the circuit shown in Fig. 3.63 and the load current is to vary from 12 to 100 mA. Find the value of series resistance R to maintain a voltage of 7.2 V across the load. The input voltage is constant at 12V and the minimum Zener current is 10 mA.
Date posted:
August 14, 2019
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For the circuit shown in Fig. 3.62 (i), find the maximum and minimum values of Zener diode current.
Date posted:
August 14, 2019
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In the figure below DA is a diameter of the circle ABCD centre o, radius 10cm. TCS is a tangent to the circle at c, AB = BC and angle DAC = 38º
a) Find the size of the angle
i) ACS
ii) BCA
b) Calculate the length of;
i) AC
ii) AB
Date posted:
August 14, 2019
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A frequency distribution of marks obtained by 120 candidates is to be represented in a histogram. The table below shows the grouped marks , frequencies for all the groups and also the area and height of the rectangle for the group 30 – 60 marks.
a) i) Complete the table.
ii) On the grid provided,draw the histogram.
b) i) State the group in which the median mark lies.
ii) A vertical line drawn through the median mark divides the total area of the histogram into two equal parts. Using this information or otherwise, estimate the median mark.
Date posted:
August 14, 2019
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Highlight four qualities of a well-made patch pocket.
Date posted:
August 14, 2019
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In the figure below, O is the centre of the circle of radius 3cm and AB is a chord such that its shortest distance from O is 1cm.
Calculate :
a) The length of the chord AB.
b) Angle AOB
c) The area of the minor sector OAB.
d) The area of the shaded segment.
Date posted:
August 14, 2019
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Mr. Barmuriat a farmer in Ainamoi division , Kericho District has a triangular field, ABC. The ratio of the length AB: AC = 6:7. If BC = 40m and the perimeter of the field is 118m,.
a) Calculate the length AB and the area of the field.
b) A water tap is installed inside the field such that the tap is equidistant from each of the vertices of the plot. Calculate the distance of the tap from vertex A.
c) Find the size of the acute angles between the edges AB and BC.
Date posted:
August 14, 2019
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Determine the state of diode for the circuit shown in Fig. 3.18 (i) and find ID and VD. Assume simplified model for the diode.
Date posted:
August 14, 2019
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Two types of tea in Kericho grade A and grade B are mixed. Grade A costs sh. 85 per kg, and grade B costs sh. 70 per kg.
a) If the tea are mixed in the ratio 2:1, find the cost 2kg of the mixture.
b) The tea is to be sold in 2kg boxes at a 30% profit. Find the selling price of the tea.
c) At the end of the week the price of a 2kg box is reduced to sh. 125. Find the percentage reduction in the price .
d) Origianally 200kg of grade A and 100kg of grade B were bought 240kg of the mixture was sold at the price of part b, and the rest was sold at the reduced price of part C. Find the overall percentage profit.
Date posted:
August 14, 2019
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Construct a net of the triangular prism shown, where the cross section is an equilateral triangle.Hence calculate the surface area of the prism.
Date posted:
August 14, 2019
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Determine if the diode (ideal) in Fig. 3.17 (i) is forward biased or reverse biased.
Date posted:
August 14, 2019
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Determine the currents I1, I2 and I3 for the network shown in Fig. 3.16(i). Use simplified model for the diodes.
Date posted:
August 14, 2019
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Determine current through each diode in the circuit shown in Fig. 3.15 (i). Use simplified model. Assume diodes to be similar.
Date posted:
August 14, 2019
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State two advantages of traditional houses.
Date posted:
August 14, 2019
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Find VQ and ID in the network shown in Fig. 3.14 (i). Use simplified model
Date posted:
August 14, 2019
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Find the voltage VA in the circuit shown in Fig. 3.13 (i). Use simplified model.
Date posted:
August 14, 2019
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Distinguish between Calico Patch and Print Patch.
Date posted:
August 14, 2019
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Differentiate between ‘basting’ in cookery and basting in clothing construction.
Date posted:
August 14, 2019
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Calculate the current through 48 Ω resistor in the circuit shown in Fig. below
(i). Assume the diodes to be of silicon and forward resistance of each diode is 1 Ω.
Date posted:
August 14, 2019
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Give two reasons for covering a saucepan during cooking food.
Date posted:
August 14, 2019