Self-study (Variation) Home Learning

16 Questions | Total Attempts: 210

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Self-study (Variation) Home Learning - Quiz

The is a self assessment. Complete after you have revised the notes.


Questions and Answers
  • 1. 
    Given that g is directly proportional to the (h + 1)2 and that g = 4 when h = 3, find the value of g when h = -2.
  • 2. 
    Which of the following shows that A is inversely proportional to B, where k is a constant.
  • 3. 
    Which of the following shows that y varies directly as the square root of x?
  • 4. 
    Which of the following shows that y varies inversely as x
  • 5. 
    Which of the following show that y varies directly as the square of x? 
  • 6. 
    Given that y varies inversely as the square root of x. Which of the following is correct, where k is a constant? 
  • 7. 
    Given that A varies directly as the cube of x and inversely as y. Which of the following is correct, where k is a constant? 
  • 8. 
    Given that P varies inversely as the square of (x - 5) and directly as the cube root of y. Which of the following is correct, where k is a constant? 
  • 9. 
    A source of light is observed from a distance of d metres. The amount of light received, L units varies inversely as the square of d. Given that L = 8 when d = 3. Calculate the value of d when L = 288. 
  • 10. 
    y is directly proportional to the cube of (x - 2). It is given that y = 9 when x = 5. Find x when y = 72. 
  • 11. 
    Given that y varies jointly directly as the cube of x and inversely as the square root of (x - 2). If y = 12 when x = 3, find y when x = 6. 
  • 12. 
    Twelve men can paint the wall in 14 days. How long does it take twenty-one men to paint the same wall?
  • 13. 
    Fifteen men take 8 hours to finish a piece of work. After the 15 men have worked for 2 hour, the contractor decides to call in 3 more men so that the work can be completed earlier. How many more hours would 18 men take to complete the remaining work?
  • 14. 
    Given that p is inversely proportional to q2 + 2, and that p = 2 when q = 4, find the positive value of q if  p = 12.
  • 15. 
    A car skids to a halt in an accident. Investigators measure the length, l metres, of the skid to estimate the speed, v metres per second, at which it had been travelling before the accident. The speed is proportional to the square root of the length of the skid. Given that a car travelling at 20 m/s skids 25 m. Find the speed of a car which skids 100m.
  • 16. 
    If 15 men can paint a house in 8 days, how long would it take 4 men to paint the same house?
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