1. Question

The quantity R varies directly as the square of s and inversely proportional as the root of T. Given that s = 2.5, when R = 10, T = 625, find the value of the constant of proportionality.

40
50
60
70

2. Question

The quantity R varies directly as the square of s and inversely proportional as the root of T. Given that s = 2.5 when R = 10, T = 625, what is the value of R when S = 5 and T = 64.

120
125
130
225

3. Question

If W varies directly as the square of the V and inversely as I, express W in terms of V and L.

W = \( \scriptsize K \normalsize \frac{V}{L} \)
W = \(\normalsize \frac{KV}{L} \)
\( \scriptsize W^2 = \normalsize \frac{KV}{L} \)
W = \(\normalsize \frac{KV^2}{L} \)

4. Question

If x varies directly as y and inversely as 2, calculate y when x=800, z=40.

20
240
200
24

5. Question

If z varies directly as y and inversely as the square root of x and z = 5 when y = 3, x = 9, find x when z = 20, and y = 4.

1
2
3
4

6. Question

If x is partly constant and partly varies inversely as the square of z, what is the formula connecting x and z (a and b are constant)?

x = \( \scriptsize a \: + \: \normalsize \frac{b}{z} \)
x = \( \scriptsize a \: + \:bz^2 \)
x = \( \scriptsize a \: + \: \normalsize \frac{b}{z^2} \)
x = \( \scriptsize a \: – \: \normalsize \frac{b}{z^2} \)

7. Question

If y is partly constant and partly varies as x and when x = 5, y = 8 and when x = 6, y = 4, find y when x = 15.

-32
32
36
-36

8. Question

If y is partly constant and partly varies as x and when x = 5, y = 8 and when x = 6, y = 4, what is the equation that connects y and x?

y = 28 + 4x
y = 4x – 28
y = 28 – 4x
y= -4x + 28

9. Question

The quantity y is partly constant and partly varies inversely as a square of z when y = 6, z = 2, and when y = 45, z = 4, find the relationship between x and y.

y = \( \scriptsize 4 \: – \: \normalsize \frac{8}{z^2} \)
y = \( \scriptsize 4 \: + \: \normalsize \frac{8}{z^2} \)
y = \( \frac{8}{z^2} \: – \: \scriptsize 4\)
y = \( \scriptsize 4 \: + \: \normalsize \frac{z^2}{8} \)

10. Question

P varies partly as q and as the square of R. When p = 6, q = 8, R = 4 and when P = 10, q = 12, R = 5, find the value of P when q = 15, R = 25.

620
630
610.11
606.25

Pos.	Name	Entered on	Points	Result
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