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Question 1: A ball falls vertically after being dropped. The ball falls a distance of d metres in a time of t seconds. d is directly proportional to the square of t. The ball falls 48.6 metres in 3 seconds. a) Find a formula for d in terms of t b) Calculate the distance the ball falls in 11 seconds c) Calculate the time taken for the ball to fall 2856.6 metres  
Question 2: The cost of serving lunch at a buffet, c, varies directly with the square root of the number of diners, n. The cost of serving 16 diners is £60. a) Find a formula for c in terms of n b) How much will it cost to serve 9 diners? c) For a cost of £105 how many diners can be served?  
Question 3: Y is inversely proportional to the cube of X. When X = 2, Y = 0.7. a) Find a formula for Y in terms of X b) Calculate Y when X = 17 (to 4 d.p.) c) Calculate X when Y = 12 (to 2 d.p.)  
Question 4: A is directly proportional to the cube root of B. When A = 15.68, B = 4.096. a) Find a formula for A in terms of B b) Calculate A when B = 79.507. c) Calculate B when A = 81.34.  
Question 5: P is directly proportional to the square root of Q. Complete the table.

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Question 1: a) d=5.4t^2 b) 653.4 metres c) 23 seconds  
Question 2: a) c=15 \sqrt{n} b) £45 c) 49 diners  
Question 3: a) Y= \Large {\frac{5.6}{X^3}} b) Y = 0.0011 c) X = 0.78  
Question 4: a) A =9.8 \sqrt[3]{B} b) 42.14 c) 571.787  
Question 5:
