ppr maths nbk

DIAGNOSTIC TEST VARIATIONS

1. If p ∝ q2 and q = 3 when p = 36, the value of q when p = 64 is A ½ B 3 C 4 D 6 2. If R varies directly as S and R = 10 when S = 25, find the value of R when S = 9. A 2 B 3 C 5 D 6

3. Given that M ∝ 2TP and M = 4 when P = 6 and T = 3, express M in terms of P

and T.

A M = 2

6T

P

B M = 2

3T

P

C M = 3PT2

D M = 4

2PT

4. Given that E ∝ GF

1 and E = 31 when F = 12 and G = 16, find the value of G

when E = 4 and F = 8.

A 41

B 21

C 2 D 4 5. It is given that y varies directly as the square root of x and y = 6 when x = 9.

Calculate the value of x when y = 10. A 5 B 10 C 15 D 25

ppr maths nbk

6. P varies directly as the cube of q and inversely as r. The relationship between P, q and r is

A P ∝ r

q3

B P ∝ 21

31

r

q

C P ∝ r

q3

D P ∝ 2

3

rq

7. Table 1 shows some values of variables m, n and h such that m varies directly as

the square root of n and inversely as h.

m 3 3 n 36 81 h 10 15

Table 1 Find the relationship between m, n and h.

A m = h

n5

B m = hn

C m = h

n3

D m = hn23

8. It is given that y varies directly as xm and y = 8 when x =1. Calculate the value of

m when y = 72 and x = 3. A 1 B 2 C 3 D 4

ppr maths nbk

9. Table 2 shows the relationship between three variables w, t and h.

w t h 2 2 4 4 m 9

Table 2 Given that w ∝

ht , calculate the value of m.

A 3 B 6 C 12 D 18

10.

p 1 2 q 12 3

Table 3 Based on Table 3, if q varies inversely as the square of p. Find the reaction

between q and p.

A q = 12p2

B q = 43 p2

C q = 2

12p

D q = 243p

Answer : 1. C 2. D 3. A 4. A 5. D 6. C 7. A 8. B 9. B 10. C