Page 10 - 1202 Question Bank Mathematics Form 5

12. The table shows some values of the variable H and K 17. Given that H fi 1 and H fi ! F. If H = 12 when G =
such that H varies inversely as the square root of K. G
Find the value of x. 4 and F = 36, calculate the value of G when H = 12
and F = 81.
H 2 3
A 54
K 36 x B 18
A 3 C 6
B 4 D 2
C 16
D 12 18. The table shows some values of the variables p, q and
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SPM q
CLONE r which satisfy the relation p fi .
13. Given that w varies directly as ! v and inversely as ! r
3
u . v = 16 when u = 2 and w = 3. Express w in terms p 24 18
of v and u.
q 8 6
6! v
A r x 16
u 3
8! v Calculate the value of x.
B
3 ! u A 6
B 2
C 6! v u
3
C 16
! 16v 3
D D 8
u
14. x varies directly as the square root of y and inversely 19. The table shows the relation between the variables k,
as the square of z. The relation between x, y and z is SPM m and n.
CLONE
y 2
A x fi k m n
! z
3 y 9
B x fi ! y z 5 20 4
2
z 2
C x fi
! y Given that k fi m , find the value of y.
! n
! y 9
D x fi A 18 C
z 2 2
3
15. Given that s varies inversely as t and u. The table B 54 D 2
shows some values of the variables.
20. P varies directly as the square root of Q and inversely
s t u
as the square root of R. Given that P = 3 when Q = 32
3 2 x and R = 2. Calculate the value of R when P = 6 and
5 4 3 Q = 192.
A 6 C 9
Find the value of x.
B 4 D 3
A 6 C 15
B 10 D 20
21. The table shows some values of the variables E
and F.
16. It is given that E varies directly as m and inversely as
3
n . Given E = 15 when m = 20 and n = 2. Calculate E 2 4 6 8
the value of E when m = 9 and n = 3. F 12 6 4 3
A 6 Find the relation between E and F.
B 2 1
A F fi E C F fi
C 1 E
1 B F fi 1 D F fi E
2
D
2 ! E
4 Question 16:
SOS TIP The relation involved both directly and inversely relationship, find the value of constant k.
After substitute, the given value of k, m and n into the equation, then find the value of E.

C01 1202BS Maths F5.indd 4 26/01/2022 3:43 PM