Direct and Indirect Proportion Homework Questions
[Nov 2013] 21.
y is directly proportional to the square of x.
When x = 3, y = 36.
Find the value of y when x = 5.
..........................................
(Total for Question 21 is 4 marks)
[Frost] 𝑥 is directly proportional to 𝑦.
When 𝑥 = 7, 𝑦 = 10. Find the value of 𝑥 when 𝑦 = 3.
[Frost] 𝑎 is directly proportional to the square root of 𝑏.
When 𝑎 = 12, 𝑏 = 16. Find the value of 𝑎 when 𝑏 = 25.
[Frost] 𝑞 is directly proportional to the cube of 𝑟.
When 𝑞 = 20, 𝑟 = 2. Find the value of 𝑞 when 𝑟 = 3.
[Frost] 𝑥 is directly proportional to the square root of 𝑦.
When 𝑥 = 21, 𝑦 = 36. Find the value of 𝑦 when 𝑥 = 14.
[June 2013 Calc] 22. h is inversely proportional to the square of r.
When r = 5, h = 3.4.
Find the value of h when r = 8.
h = ..............................................
(Total for Question 22 is 3 marks)
[Nov 2010 NonCalc] 26.
P is inversely proportional to V.
When V = 8, P = 5
(a) Find a formula for P in terms of V.
P = ...............................
(3)
(b) Calculate the value of P when V = 2
.....................................
(1)