1) It is given m = 0.8 when n = 0.125. Express m in terms of n if, m varies directly as n. a) m = 6.5n b) m = 6.3n c) m = 6.2n d) m = 6.4n e) m = 5.9n f) m = 6.21n 2) It is given m = 0.8 when n = 0.125. Express m in terms of n if, m varies directly as the cube root of n. a) m = 1.3 3√n b) m = 1.6 3√n c) m = 1.2 3√n d) m = 1.34 3√n e) m = 1.61 3√n f) m = 1.4 3√n 3) The extensions of a spring, x cm, varies directly as the mass of the load, w g, hanging on the string. It is given the extension of a spring is 3cm when a load of 200g is hung on the string. Express x in terms of w. a) x = 0.12w b) x = 0.016w c) x = 0.0.9w d) x = 0.015w e) x = 0.22w f) x = 0.014w 4) It is given y varies directly as x. If y = 0.14 when x = 0.2, calculate the value of y when x = 5. a) y = 3.5 b) y = 6.1 c) y = 0.75 d) y = 10 e) y = 5.16 f) y = 0.5 5) It is given y varies directly as x. If y = 0.14 when x = 0.2, calculate the value of x when y = 0.875 a) x = 1.25 b) x = 12.5 c) x = 125 d) x = 2.5 e) x = 2.51 f) x = 2 6) The area, L cm2 , of a semicircle varies directly as the square of its diameter, d cm. It is given that the area of the semicircle is 3.08cm2 when the diameter is 2.8cm. Calculate the value of d when L = 19.25 a) d = 2cm b) d = 3cm c) d = 4cm d) d = 5cm e) d = 6cm f) d = 7cm 7) The period of oscillation, A seconds, of a simple pendulum varies directly as the square root of the length if its string, p cm. It is given that the 9cm string of a simple pendulum oscillates for 1.2 seconds. Calculate the period of oscillation in seconds, if the length of the string is 25cm. a) A = 1 seconds b) A = 2 seconds c) A = 3 seconds d) A = 4 seconds e) A = 1.5 seconds f) A = 2.6 seconds 8) Find the answer of the relation using the symbol ∝ and in equation form for p varies directly as q and √r a) p = qk√r b) p = pq \√r c) p = kq√r d) q = p√r e) q = kp√r f) q = qq√r 9) Find the answer of the relation using the symbol ∝ and in equation form for y varies directly as the square of w and the cube of x. a) y = kwx b) y = kw2 c) y = wk2 d) y = √wx e) y = kw2x3 f) y = kwx2

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