The figure below shows the map of a ranch drawn in a grid of one centimeter

# The figure below shows the map of a ranch drawn in a

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8.The figure below shows the map of a ranch drawn in a grid of one centimeter spaces. 3

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(a) Calculate the area of the map in centimeters.(2 marks)(b) Given the scale of the map is 1: 40,000, Calculate the actual area of the ranch in hectares.(3 marks) 9.In the figure AOC and BOD are diameters of circle ABCD , centre O. 4
10. The ratio of (x + y) : (2x – y) = 5:6. Find the ratio x : 3y. (3 marks) 5

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11. Solve the equation x + 1 = 1 - 1 – 3x (3 marks) 2 5 12. Find the value of M in the following equation ( 1 / 27 ) M x (81) -1 = 243. (3 marks) 13. The size of an interior angle of a regular polygon is 156 0 . Find the number of sides of the polygon. (3 marks) 6
14. Given the co-ordinates of a point P are (-5,6), without plotting find the position of P -1 the image of P under rotation about point (4, 4) through – 180 0 . (2 marks) 15. Three ships are sailing together at the same constant speed. Sheep B is 10km away form ship A on a bearing 040 0 . Ship C is on a bearing of 120 0 from ship A and on a bearing of 160 0 from ship B. How far is ship C from A?. (3 marks) 16. Use logarithms to evaluate. 36.15 x (0.02573) 2 3 1.938 (4 marks) 7

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• Fall '18
• ANYANZWA

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