3 marks 5 Solve for x in log 3x 4 log 3 x 1 3 marks 6 a Factorize completely 2

3 marks 5 solve for x in log 3x 4 log 3 x 1 3 marks 6

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(3 marks) 5. Solve for x in log (3x + 4) – log (3 – x) = 1 (3 marks) 6. (a) Factorize completely. (2 marks) 3x 2 + xy – 2y 2 3
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(a) Make F the subject of the formula. (3 marks) W = H - 2 FL 3F 7. Three quantities X, Y and Z are such that X varies directly as the square of Y, and inversely as Z. Given that X = 3 when Y = 6 and Z = 15, find the value of X when Y = 4 and Z = 5. (3 marks) 4
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8. The diagram alongside represents a circular flower bed surrounded by a path of uniform width. Given that R = 14m, and r 2 12.6m, calculate to the nearest whole number, the area of the path (Take л = 22 / 7 ) (3 marks) 9. Without using logarithm tables find y , if y = log 10 96 + 3 log 10 5 – log 2 10 (3 marks) 5
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10. An arc subtends an angle of 0.9 radius. If the radius of the circle is 14cm, find the length of arc. (2 marks) 11. In the triangle PQR drawn below, PQ = 12cm, QR = 10cm and PQR = 143.7 0 . Find PR. (3 marks) 6
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12. Solve the equation. (2 marks) 4 - 1 = 3 - X X X + 3 13. The radius of a cylinder is increased by 50% while its height is decreased by 25%. The curved surface area of the new cylinder is 135cm 2 . Determine the curved surface area of the old cylinder. (4 marks) 7
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14. Find the value of y in the figure below. The chords AB and CD intersect externally at point O (3 marks) 15. Use matrix method to solve the following simultaneous equations. (3 marks) 2b + 3a = 12 4a – b = 5 8
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16. Give an expression for the n
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  • Fall '18
  • ANYANZWA

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