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On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar = Ksh 52.55 and that the bank charged him 5% commission, find the number of dollars he exchanged.
Date posted:
August 27, 2019
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(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x = 6 using 6 strips.
(b) Use the integration to evaluate the exact area under the curve.
(c) Hence calculate the percentage error in calculating the area using trapezoidal rule.
Date posted:
August 27, 2019
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Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18, q = 24 and r = 4.Find p when q = 30 and r = 10.
(b) Express q in terms of p and r.
(c) If p is increased by 20% and r is decreased by 10% find:
(i) A simplified expression for the change in q in terms of p and r.
(ii) The percentage change in q.
Date posted:
August 27, 2019
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A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
Date posted:
August 27, 2019
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The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the other number.
Date posted:
August 27, 2019
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Solve for x in sin (x-15)-cos(x+5)=15
Date posted:
August 27, 2019
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The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator, find the exact value of the variance of the data.
Date posted:
August 27, 2019
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Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from port X, while ship Q sails on a bearing of 320°, 80km from X. Ship R is on a bearing of 150° from port X and due south of ship P.
a) Using a ruler and compasses only construct a scale drawing to show the position of P,Q,R and X
b) Use the scale drawing to determine
i) the distance and bearing of ship P from ship Q
ii) the distance of ship R from port X
iii) the distance of ship R from ship P
Date posted:
August 27, 2019
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Use logarithm tables to evaluate
Date posted:
August 27, 2019
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Two variables P and L are such that P varies partly as L and partly varies as the square root of L. Determine the relationship between P and L given that L = 16 when P = 500 and L = 25 when P = 800.
Date posted:
August 27, 2019
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David Mulwa: Inheritance
The play Inheritance satirizes leaders who thrive at the expense of their subjects. Discuss.
Date posted:
August 27, 2019
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H.R. Ole Kulet: Blossoms of the Savannah
'Ole Kaelo's high-handedness leads to the disintegration of his family.' Show the truth of this statement basing your arguments on Ole Kulet's Blossoms of the Savannah.
Date posted:
August 27, 2019
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David Mulwa: Inheritance
Basing your arguments on Inheritance, show how citizens can influence their own governance.
Date posted:
August 27, 2019
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Write an essay on the effects of gender discrimination in a society, basing your arguments on Blossoms of the Savannah by Ole Kulet.
Date posted:
August 27, 2019
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John Steinbeck, The Pearl
'Family plays an important role in a person's well-being.' Using John Steinbeck’s,The Pearl, show how true this statement is.
Date posted:
August 27, 2019
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David Mulwa: Inheritance
'Benga is a true patriot who is key in bringing liberation in Kutula,' Show the truth of this statement basing your argument on David Mulwa's Inheritance.
Date posted:
August 27, 2019
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(a) Complete the table below for the function y=7 + 2x— 2x2 for the range -3= x = 4.
(b) (i) On the grid provided draw the graph of y=7 + 2x— 2x2 .
Take the scale:2 cm to represent 1 unit on x- axis
1 cm to represent 1 unit on y- axis
(ii) Use your graph to estimate the roots of 7 + 2x— 2x2 = 0.
(c) (i) By drawing a suitable line on the same axes in (b) above solve the equation
9 + 5x— 2x2 = 0
(ii) State the co-ordinates of the turning point
Date posted:
August 27, 2019
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A point (-5, 4) is mapped onto (-1, -1) by a translation T. Find the image of (-4, 5) under the same translation.
Date posted:
August 27, 2019
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A trader purchases four 25kg bags of sugar and packages the sugar in 2kg, 1kg and 0.5kg packs to be sold in retail. The trader does the packaging in a ratio of 3:2:5 respectively. He makes a profit of Kshs 10 for every 2kg pack, Kshs 8 for the 1kg pack and Kshs 6 for the 0.5kg pack.
(a) Determine;
(i) The number of packets the trader made for each type of package.
(ii) The profit he will make if the wholesale price of a 25kg bag of sugar is Kshs 2000
(iii) The selling price of each type of package.
(b) Determine his percentage profit.
Date posted:
August 27, 2019
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Two similar containers have capacities of 1000 litres and 1728 litres respectively. If it costs Ksh.750 to paint the outside surface of the smaller container, how much will it cost to paint the outside of the larger container.
Date posted:
August 27, 2019
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Two alloys Y and Z are each made up of zinc, tin and copper. In alloy Y, the ratio of zinc to tin is 2:5 and the ratio of copper to tin is 4:3. Determine the ratio, copper: zinc: tin in alloy Y.
Date posted:
August 27, 2019
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Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
Date posted:
August 27, 2019
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A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After 2 2/9 hours, a car left Nairobi and travelled along the same road at an average speed of 170km/hr. If the distance between Nairobi and Busia is 800km, Determine the distance the car travelled to catch up with the bus.
Date posted:
August 27, 2019
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John Steinbeck: The Pearl
'Man is helpless in the hands of fate.' Write an essay showing the veracity of this statement. Base your arguments on the Pearl by John Steinbeck.
Date posted:
August 27, 2019
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David Mulwa: Inheritance
Write an essay to show how citizens suffer due to bad leadership. Base your arguments on David Mulwa's Inheritance.
Date posted:
August 27, 2019
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'A great man has the power to inspire others to greatness.' Using illustrations from The Handsomest Drowned Man in the World by G.G. Marquez, discuss this statement.
Date posted:
August 27, 2019
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Henrik Ibsen: A Doll's House
Preserving the respect of the community preoccupies the characters in Henrik Ibsen's A Doll's House. Drawing illustrations from the text, write an essay to show the truth of this statement.
Date posted:
August 27, 2019
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David Mulwa: Inheritance
'Great things often come from small beginnings'. Discuss this saying in reference to Princess Sangoi in David Mulwa's Inheritance
Date posted:
August 27, 2019
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H.R. Ole Kulet: Blossoms of the Savannah
'Women should be given a voice for society to be more cohesive.' Justify this statement using illustrations from Blossoms of the Savannah
Date posted:
August 27, 2019
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David Mulwa: Inheritance
Life has a way of paying back our actions, good or bad, in full measure. Using illustrations from Inheritance, discuss this statement.
Date posted:
August 27, 2019