### Math 10 Chapter 3 - Part E 1. The unknown in the continued proportion 9, x + 1, 16 a) 22 b) 33 c) 36 d) 11 2. a + b/b = 13/3 a) x2y2/(x+y)2 b) a/b= 10 / 3 c) a = 36c d) 36 3. a/b = b/c = 6 a) 36 b) 44 c) a = 36c d) 11 4. a/b = b/c a) k = 4 b) Direct proportion c) c = b2/ a d) k = 1 5. x/y = 2/3 a) a = +- 8 b) 2x + 3y/3x + 4y = 13/18 c) k = 1 d) c = b2/ a 6. Weight and mass of a body a) Direct proportion b) a = +- 8 c) k = 1 d) k = 4 7. a and b3 varies directly a = 8 when b = 2 a) k = 4 b) Direct proportion c) a = +-8 d) k = 1 8. 32, a and 2 are in continued proportion a) k = 1 b) a = +-8 c) 6x + 2y/5x | y = 18/13 d) Direct proportion 9. x/a = y/b = z/c = 2/3 a) x = 13/ 5 b) b = ac c) Lengths of the side of triangle with perimeter 12cm d) x3y3z3/abc = 8 /27 10. 3cm, 4cm, 5cm a) b2 = ac b) x = 13/ 5 c) Lengths of the side of triangle with perimeter 12cm d) y3 a 1/ x2 11. x/5 = 13/15 a) x = 13/ 5 b) b2 = ac c) y3 a 1/ x2 d) Lengths of the side of triangle with perimeter 12cm 12. y3x2 = k a) y3 a 1/ x2 b) b2 = ac c) x3y3z3/abc = 8 /27 d) b = ac 13. a/b = b/ c a) x3y3z3/abc = 8 /27 b) b2 = ac c) Lengths of the side of triangle with perimeter 12cm d) y3 a 1/ x2 14. a/b = c/d or b/a = d/ c a) Invertendo property b) 18 c) 8 d) 64 15. a:b = c:d then a +b:b = c+d :d a) Componendo property b) 16, 10 c) Invertendo property d) 18, 8 16. The third proportional of 4,16 is a) 64 b) 60 c) 8 d) 18 17. 2a+1/2b-2 = 9/ 20 a) 16, 10 b) Invertendo property c) 18, 8 d) a/b= 4/11 18. The ratio between two numbers is 8:5 the sum of the numbers is 26 a) 8,18 b) 18, 8 c) 10, 16 d) 16, 10

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