Name: Date:
Question 1: The shutter speed S of a camera varies inversely to the square of the aperture setting f. When S = 0.06, f = 2. a) Find a formula for S in terms of f b) Calculate S when f = 4 c) Calculate f when S = 0.0009375.  
Question 2: The pressure p (measured in atmospheres) acting on a hotair balloon is inversely proportional to the square root of the height h in metres. At a height of 900m the pressure is 0.95 atmospheres. a) Find a formula for p in terms of h b) What is the pressure at 4761m (to 2 d.p.)? c) At what height (to 2 d.p.) is the pressure 0.34?  
Question 3: The weight, w, of marbles varies directly with the cube of the radius, r. A marble of radius 15mm has a weight of 20.925g . a) Find a formula for w in terms of r b) How heavy will a marble with 5mm radius be? c) What is the radius of a 36.1584g marble?  
Question 4: A is directly proportional to the cube root of B. When A = 3.99, B = 6.859. a) Find a formula for A in terms of B b) Calculate A when B = 64. c) Calculate B when A = 16.17.  
Question 5: P is inversely proportional to the square of Q. Complete the table.

Show Answers
Hide Answers
© GCSEMathsWorksheets.com
Answers
Question 1: a) S= \Large {\frac{0.24}{f^2}} b) 0.015 c) 16  
Question 2: a) p= \Large {\frac{28.5}{\sqrt{h}}} b) 0.41 atmospheres c) 7026.38m  
Question 3: a) w =0.0062 r^3 b) 0.775g c) 18mm  
Question 4: a) A =2.1 \sqrt[3]{B} b) 8.4 c) 456.533  
Question 5:
