EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the following represents a proportion ?
(i)
40
:
48
::
160
:
192
(ii)
39
:
47
::
117
:
188
(iii)
38
:
46
::
152
:
138
(iv)
42
:
50
::
126
:
100
(v)
41
:
49
::
82
:
147
Question
2
2.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
mean proportional
(ii)
second term
(iii)
third proportional
(iv)
first term
Question
3
3.
Which of the following does not represent a proportion ?
(i)
12
:
10
::
36
:
30
(ii)
12
:
8
::
60
:
40
(iii)
12
:
9
::
48
:
36
(iv)
5
:
4
::
10
:
12
(v)
21
:
18
::
42
:
36
Question
4
4.
If
(
4
x
+
1
)
is the geometric mean of
(
x
+
1
)
and
(
13
x
+
1
)
,
find
x
(i)
(
2
,
2
)
(ii)
(
4
,
2
)
(iii)
(
0
,
2
)
(iv)
(
1
,
3
)
(v)
(
0
,
1
)
Question
5
5.
If
a
:
b
::
b
:
c
,
then the mean proportional is
(i)
bc
(ii)
b
(iii)
ac
(iv)
c
(v)
a
Question
6
6.
Alternendo
of
4
:
3
::
8
:
6
(i)
3
:
4
::
6
:
8
(ii)
7
:
1
::
14
:
2
(iii)
1
:
3
::
2
:
6
(iv)
4
:
8
::
3
:
6
(v)
7
:
3
::
14
:
6
Question
7
7.
Dividendo
of
z
w
=
l
s
(i)
z
−
w
w
=
l
−
s
s
(ii)
z
l
=
w
s
(iii)
z
+
w
z
−
w
=
l
+
s
l
−
s
(iv)
z
+
w
w
=
l
+
s
s
(v)
w
z
=
s
l
Question
8
8.
If
a
:
b
::
c
:
d
,
then '
a
' is called
(i)
fourth proportional
(ii)
extreme
(iii)
second term
(iv)
third proportional
(v)
mean proportional
Question
9
9.
If
(
a
3
+
3
a
b
2
)
(
3
a
2
b
+
b
3
)
=
728
296
, find
a : b
(i)
7
:
3
(ii)
7
:
1
(iii)
7
:
-1
(iv)
6
:
1
(v)
8
:
1
Question
10
10.
Find the third proportional of
50
and
10
(i)
10
(ii)
50
(iii)
2
(iv)
100
(v)
(-1)
Question
11
11.
Find the fourth proportional of
18
,
3
and
30
(i)
8
(ii)
5
(iii)
30
(iv)
3
Question
12
12.
Invertendo
of
a
:
l
::
e
:
v
(i)
l
:
a
::
v
:
e
(ii)
a
:
e
::
l
:
v
(iii)
a
+
l
:
a
−
l
::
e
+
v
:
e
−
v
(iv)
a
−
l
:
l
::
e
−
v
:
v
(v)
a
+
l
:
l
::
e
+
v
:
v
Question
13
13.
If
a
:
b
::
c
:
d
,
then
(i)
abc = bcd
(ii)
ac = bd
(iii)
ad = bc
(iv)
ab = cd
Question
14
14.
If
9
,
x
,
225
are in continued proportion, find
x
(i)
46
(ii)
44
(iii)
45
(iv)
48
(v)
43
Question
15
15.
Find the fourth proportional of 20, 25, 24
(i)
29
(ii)
31
(iii)
32
(iv)
30
(v)
28
Question
16
16.
Componendo and Dividendo
of
7
:
5
::
21
:
15
(i)
2
:
5
::
6
:
15
(ii)
12
:
5
::
36
:
15
(iii)
5
:
7
::
15
:
21
(iv)
12
:
2
::
36
:
6
(v)
7
:
21
::
5
:
15
Question
17
17.
What
must be subtracted from
46
,
26
,
30
,
18
so that the resulting numbers
are in proportion ?
(i)
9
(ii)
7
(iii)
6
(iv)
4
(v)
5
Question
18
18.
Dividendo
of
6
9
=
24
36
(i)
3
9
=
12
36
(ii)
15
3
=
60
12
(iii)
9
6
=
36
24
(iv)
6
24
=
9
36
(v)
15
9
=
60
36
Question
19
19.
If
(
2
x
+
6
)
,
(
4
x
+
12
)
,
(
3
x
+
13
)
and
(
7
x
+
5
)
are in proportion,
find
x
(i)
(
22
,
-2
)
(ii)
(
24
,
-3
)
(iii)
(
21
,
-4
)
(iv)
(
-1
,
23
)
(v)
(
21
,
-3
)
Question
20
20.
Componendo
of
3
8
=
24
64
(i)
5
8
=
40
64
(ii)
11
8
=
88
64
(iii)
3
24
=
8
64
(iv)
11
5
=
88
40
(v)
8
3
=
64
24
Question
21
21.
If
'a'
≠
'b'
and
'a'
:
'b'
is the duplicate ratio of (
'a'
+
'c'
) : (
'b'
+
'c'
),
then the mean proportional between
'a'
and
'b'
is
(i)
c
2
(ii)
c
2
(iii)
c
(iv)
2c
Question
22
22.
If
24
:
36
::
12
:
x
, find '
x
'
(i)
17
(ii)
18
(iii)
19
(iv)
21
(v)
16
Question
23
23.
Find the product of extremes of
19
6
:
13
2
and
10
9
:
13
10
(i)
83
20
(ii)
247
60
(iii)
247
58
(iv)
49
12
(v)
65
9
Question
24
24.
If
x
b
−
c
=
y
c
−
a
=
z
a
−
b
,
then
(i)
a
x
+
b
y
−
c
z
=
0
(ii)
a
x
+
b
y
+
c
z
=
1
(iii)
a
x
+
b
y
+
c
z
=
0
(iv)
a
x
−
b
y
−
c
z
=
0
(v)
a
x
−
b
y
+
c
z
=
0
Question
25
25.
If
(
a
3
+
48
a
)
(
12
a
2
+
64
)
=
756
702
, find
a
(i)
9
(ii)
8
(iii)
11
(iv)
7
(v)
5
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (iii)
5) (ii)
6) (iv)
7) (i)
8) (ii)
9) (ii)
10) (iii)
11) (ii)
12) (i)
13) (iii)
14) (iii)
15) (iv)
16) (iv)
17) (iii)
18) (i)
19) (v)
20) (ii)
21) (iii)
22) (ii)
23) (ii)
24) (iii)
25) (ii)
