Back to AQA Direct & Inverse Proportion (H) Home
Proportion: Quiz 7 - Answers
Proportion: Quiz 7 - Answers
1)
a) a = 2b2
b) 18
c) 128
d) 6
e) 10
2)
a) c = 6d2
b) 600
c) 7
d) 1.5
e) 14
3)
a) 3
b) 5
c) 4374
d) 6
4)
a)
b) 49
c) 2
d) 110.25
5)
a)
c) 2
d) 110.25
5)
a)
b) 1296
c) 256
d) 6
e) 8
6)
a) 5
b) 15.625
c) 1
7)
a)
c) 256
d) 6
e) 8
6)
a) 5
b) 15.625
c) 1
7)
a)
b) 50
c) 49
d) 144
8)
a) 13.5
b) 9
c) 12
d) 36
c) 49
d) 144
8)
a) 13.5
b) 9
c) 12
d) 36
Working
Questions
You may use a calculator for the following questions.
1) a is directly proportional to the square of b. When a is 50, b is 5. a and b are always positive.
a) Form an equation for a in terms of b.
b) Find the value of a when b is 3.
c) Find the value of a when b is 8.
d) Find the value of b when a is 72.
e) Find the value of b when a is 200.
2)
You may use a calculator for the following questions.
1) a is directly proportional to the square of b. When a is 50, b is 5. a and b are always positive.
a) Form an equation for a in terms of b.
b) Find the value of a when b is 3.
c) Find the value of a when b is 8.
d) Find the value of b when a is 72.
e) Find the value of b when a is 200.
2)
When c is 54, d is 3. c and d are always positive.
a) Form an equation for c in terms of d.
b) Find the value of c when d is 10.
c) Find the value of d when c is 294.
d) Find the value of c when d is ½.
e) Find the value of d when c is 1176.
3) e is directly proportional to the cube of f. When e is 48, f is 2.
a) Find the value of f when e is 162.
b) Find the value of f when e is 750.
c) Find the value of e when f is 9.
d) Find the value of e when f is 1.
4)
a) Form an equation for c in terms of d.
b) Find the value of c when d is 10.
c) Find the value of d when c is 294.
d) Find the value of c when d is ½.
e) Find the value of d when c is 1176.
3) e is directly proportional to the cube of f. When e is 48, f is 2.
a) Find the value of f when e is 162.
b) Find the value of f when e is 750.
c) Find the value of e when f is 9.
d) Find the value of e when f is 1.
4)
When g is 196, h is 3. g and h are always positive.
a) Form an equation for g in terms of h.
b) Find the value of g when h is 6.
c) Find the value of h when g is 441
d) Find the value of g when h is 4.
5) i is inversely proportional to the square of j. When i is 81, j is 16. i and j are always positive.
a) Form an equation for i in terms of j.
b) Find the value of i when j is 4.
c) Find the value of i when j is 9.
d) Find the value of j when i is 576.
e) Find the value of j when i is 324.
6) m is inversely proportional to the cube of n. When m is 125, n is 2.
a) Find the value of n when m is 8.
b) Find the value of m when n is 4.
c) Find the value of m when n is 10.
7) p is directly proportional to the square root of q. When p is 10, q is 4.
a) Form an equation for p in terms of q.
b) Find the value of p when q is 100?
c) Find the value of q when p is 35?
d) Find the value of q when p is 60?
8) y is inversely proportional to the square root of x. When y is 27, x is 16.
a) Find the value of y when x is 64.
b) Find the value of x when y is 36.
c) Find the value of y when x is 81.
d) Find the value of x when y is 18.
a) Form an equation for g in terms of h.
b) Find the value of g when h is 6.
c) Find the value of h when g is 441
d) Find the value of g when h is 4.
5) i is inversely proportional to the square of j. When i is 81, j is 16. i and j are always positive.
a) Form an equation for i in terms of j.
b) Find the value of i when j is 4.
c) Find the value of i when j is 9.
d) Find the value of j when i is 576.
e) Find the value of j when i is 324.
6) m is inversely proportional to the cube of n. When m is 125, n is 2.
a) Find the value of n when m is 8.
b) Find the value of m when n is 4.
c) Find the value of m when n is 10.
7) p is directly proportional to the square root of q. When p is 10, q is 4.
a) Form an equation for p in terms of q.
b) Find the value of p when q is 100?
c) Find the value of q when p is 35?
d) Find the value of q when p is 60?
8) y is inversely proportional to the square root of x. When y is 27, x is 16.
a) Find the value of y when x is 64.
b) Find the value of x when y is 36.
c) Find the value of y when x is 81.
d) Find the value of x when y is 18.