Find the number of complete days a full tank would last the family. (a) Calculate the amount of money Cherop received more than Asha at the end of the first year. Five such pairs of trousers and two shirts cost a total of Kshs 810. 00 £ x £ 3600 on the same axes. The base of the pyramid is rectangle ABCD, WITH ab = 4 cm and BC= 3 cm. Find how much the trader should he sell a bag of the mixture to realize the same profit? Hence use your expansion to estimate (0.97)5 correct to decimal places. They also agreed to put aside 40% of the remaining profit to cater for taxes and insurance. The vectors AD = a, AB = b and DV = c. ii) BV in terms of a, b and c. (3 marks), b) M is a point OV such that OM: MV = 3:4. The figure below shows a circle, centre, O of radius 7 cm. Two places A and B are on the same circle of latitude north of the equator. 76.05. Thereafter, every year, it appreciated by 10% of its previous years value find: (a) The value of the land at the start of 1995, (b) The value of the land at the end of 1997, In that year Muhando earned a salary of Kshs. Calculate the number of installments (3mks), (ii) Had Kioko bought the computer on cash terms he would have been allowed a discount of 12 ½ % on marked price. (ii) The latitude of the two towns (take radius of the earth to be 6371 km), Find, to the nearest degree, the latitude on which A and B lie. If A = 1 2 find B given that A, Given that A= 1 3 , B= 3 1 , C = p 0 and AB =BC, determine the value of P, (a) Find the inverse of the matrix 9 8, Given that A = 0 -1 and B = -1 0. As a result, each of the remaining members were to contribute Ksh 2500. b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8. the coefficients as fractions in their simplest form. Find the mass of one art book and the mass of one biology book. The smaller one uses 180 litres of fuel per hour while the bigger one uses 300 litres per hour. Point C is 50 km on a bearing of 560, In the figure below, a line XY and three point A,B and C are as given. The submarine at D on realizing that the ship was heading for the island P decides to head straight for the island to intercept the ship. The population increased by 80% every 20 minutes. In a fund- raising committee of 45 people the ratio of men to women 7.2. A cylindrical piece of wood of radius 4.2 cm and length 150 cm is cut lengthwise into two equal pieces. If each butcher got 17 goats, how many did odupoy sell to the butchers? (2mks), (i) The value of k (4mks), (ii) The ratio in which C divides AE (1mk), (i) The height of CD in meters to 2 decimal places; (2mks), (ii) The angle of elevation of A from C to the nearest degree. (a) Calculate the amount of money received from the sales of 240 sofa sets that year. 65 per kilogram and 60 kg of grade II rice at Kshs 27.50 per kilogram. (i) Use the axes on the grid provided to draw the line of best fit for the graph of log T against log X. (i) The total surface area of the walls and the floor (include the door as part of the wall. The figure below represents a kite ABCD, AB = AD = 15 cm. The internal and external diameters of a circular ring are 6 cm and 8cm respectively. (a) Determine the exact values for internal and external radii which will give maximum volume of the material used. Find the time they would take to cultivate the piece of land when working together. The table below shows high altitude wind speeds recorded at a weather station in a period of 100 days. 200 and each day traveling by bus will cost Kshs. Express the cost of Z as a percentage of the cost of Y. Complete the sketch of the solid, showing the hidden edges with broken lines. (3mks), In a certain month the dealer sold twice as much diesel as petrol. The bank charges an interest at the rate of 24% per annum compounded half yearly. A line with gradient of -3 passes through the points (3. k) and (k.8). (b) The rate per annum of the simple interest, (b) If she sold good whose total marked price was Kshs 360,000 and allowed. Calculate the co-ordinates of the points A and B, (a) Gradient of the line (1 mk), (b) Equation of a line passing through point (1, 2) and perpendicular to the given line b. clockwise through 900 about the origin. Given that X = 2i + j -2K, y = -3i + 4j – k and z= 5i + 3j + 2k and that p= 3x – y + 2z, find the magnitude of vector p to 3 significant figures. Two business ladies, Jane and Janet contributed sh. Using the values in the table and the trapezoidal rule, estimate the area bounded by the curve y= 3x2 – 8x + 10 and the lines y=0, x=0 and x=10. In this question use a ruler and a pair of compasses. The actual area of the ranch is 1075 hectares, The figure below shows an octagon obtained by cutting off four congruent triangles from a rectangle measuring 19.5 by 16.5 cm, The length of a hollow cylindrical pipe is 6 metres. C is a point on AB such that AC:CB 3:2, and D is a point such that OB//CD and 2OB = CD (T17), In the figure below, KLMN is a trapezium in which KL is parallel to NM and KL = 3NM, The points P, Q and R lie on a straight line. Calculate the probability of selecting two girls and one boy. The bus maintained an average speed of 75 km/ hr. A garden measures 10m long and 8 m wide. Dit betekent dat Zalando.nl als webshop is gecertificeerd door de Stichting Certificering Thuiswinkel Waarborg. Calculate the longitude of its new position (take the radius of the earth to be 6370 km and π = 22/7). (i) Write a simplified algebraic expression with one variable, representing the total number of goats.
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