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Form 3 Questions and Answers on Formulae
Given that log
y
=
log
(
10
x
n
)
, make n the subject
(3m 26s)
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1.
Make x the subject of the formula
N
=
P
√
(
a
x
+
b
x
)
2.
Make n the subject of the formula
E
=
√
x
(
n
-
x
)
n
-
1
3.
Make P the subject of the formula
A
=
-
E
P
√
P
2
+
N
4.
The volume V
c
m
3
of an object is given by
V
=
2
3
π
r
3
(
1
s
c
2
-
2
)
Express c in terms of
π
, r, s and V
5.
Make V the subject of the formula
T
=
1
2
m
(
u
2
-
v
2
)
6.
Given that
y
=
b
-
b
x
2
c
x
2
-
a
make x the subject
7.
Given that log
y
=
log
(
10
x
n
)
, make n the subject
8.
Make x the subject of the formula
P
=
(
x
y
z
+
x
)
1
2
9.
Make x the subject of the formula:
S
=
W
√
a
2
-
x
2
10.
Make y the subject of the formula:
P
=
x
y
x
-
y
11.
Make c the subject of the formula:
T
=
x
√
c
2
+
d
2
12.
Make P the subject of the formula
P
2
=
(
P
-
q
)
(
P
-
r
)
13.
Make s the subject of the formula
√
p
=
r
√
1
-
a
s
2
14.
Make b the subject of the formula:
b
d
√
(
b
2
-
d
)
15.
Given that
y
=
2
x
-
z
x
+
3
z
, express x in terms of y and z.
16.
Make h the subject of the formula
q
=
1
+
r
h
1
-
h
t
17.
Make x the subject of the equation:
3
y
=
y
+
p
q
+
1
x
18.
Make s the subject of the formula:
w
=
3
√
s
+
t
3
19.
Make n the subject of the equation:
r
p
=
m
√
n
-
1
20.
Make d the subject of the formula,
P
=
1
2
m
n
2
-
q
d
2
n
21.
Make s the subject of the formula:
w
=
3
√
s
+
t
s
22.
Make t the subject of the formula
s
=
√
3
d
(
t
-
d
)
8
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