EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the mean proportional of
8
and
2
(i)
16
(ii)
2
(iii)
8
(iv)
4
Question
2
2.
If
(
x
+
10
)
,
(
7
x
+
10
)
,
(
2
x
+
4
)
and
(
10
x
+
4
)
are in proportion,
find
x
(i)
(
0
,
14
)
(ii)
(
1
,
15
)
(iii)
(
0
,
13
)
(iv)
(
3
,
14
)
(v)
(
16
,
2
)
Question
3
3.
Invertendo
of
m
:
f
::
n
:
y
(i)
m
+
f
:
m
−
f
::
n
+
y
:
n
−
y
(ii)
m
−
f
:
f
::
n
−
y
:
y
(iii)
f
:
m
::
y
:
n
(iv)
m
+
f
:
f
::
n
+
y
:
y
(v)
m
:
n
::
f
:
y
Question
4
4.
Dividendo
of
6
2
=
30
10
(i)
8
2
=
40
10
(ii)
8
4
=
40
20
(iii)
6
30
=
2
10
(iv)
2
6
=
10
30
(v)
4
2
=
20
10
Question
5
5.
Find the product of extremes of
9
17
:
13
5
and
1
5
:
3
20
(i)
13
25
(ii)
5
68
(iii)
29
340
(iv)
27
340
(v)
27
338
Question
6
6.
If
a
:
b
::
c
:
d
,
then '
a
' is called
(i)
second term
(ii)
fourth proportional
(iii)
third proportional
(iv)
extreme
(v)
mean proportional
Question
7
7.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
mean proportional
(ii)
second term
(iii)
third proportional
(iv)
first term
Question
8
8.
Componendo
of
j
:
p
::
f
:
g
(i)
p
:
j
::
g
:
f
(ii)
j
−
p
:
p
::
f
−
g
:
g
(iii)
j
+
p
:
p
::
f
+
g
:
g
(iv)
j
+
p
:
j
−
p
::
f
+
g
:
f
−
g
(v)
j
:
f
::
p
:
g
Question
9
9.
If
(
2
x
+
2
)
is the geometric mean of
(
x
−
2
)
and
(
9
x
+
3
)
,
find
x
(i)
(
6
,
(
-2
7
)
)
(ii)
(
5
,
(
-2
5
)
)
(iii)
(
8
,
(
-2
5
)
)
(iv)
(
13
5
,
7
)
(v)
(
5
,
(
-2
3
)
)
Question
10
10.
If
'b'
is the mean proportional between
'a'
and
'c'
,
then the mean proportional between
(
a
2
+
b
2
)
and
(
b
2
+
c
2
) is
(i)
b (a + c)
(ii)
c (a + b)
(iii)
a (b + c)
(iv)
ab + bc + ca
Question
11
11.
Find the product of extremes of
4
:
2
and
12
:
17
(i)
67
(ii)
70
(iii)
24
(iv)
65
(v)
68
Question
12
12.
Alternendo
of
3
5
=
18
30
(i)
5
3
=
30
18
(ii)
8
5
=
48
30
(iii)
2
5
=
12
30
(iv)
8
2
=
48
12
(v)
3
18
=
5
30
Question
13
13.
If
a
b
+
c
=
b
c
+
a
=
c
a
+
b
where
a
+
b
+
c
=
0,
then each of the ratios is equal to
(i)
(
-1
2
)
(ii)
2
(iii)
1
2
(iv)
a + b + c
(v)
-1
Question
14
14.
Dividendo
of
t
z
=
b
i
(i)
t
+
z
z
=
b
+
i
i
(ii)
z
t
=
i
b
(iii)
t
+
z
t
−
z
=
b
+
i
b
−
i
(iv)
t
−
z
z
=
b
−
i
i
(v)
t
b
=
z
i
Question
15
15.
Find the fourth proportional of 9, 12, 12
(i)
13
(ii)
16
(iii)
19
(iv)
17
(v)
15
Question
16
16.
Find the third proportional of
32
and
8
(i)
2
(ii)
(-1)
(iii)
32
(iv)
64
(v)
8
Question
17
17.
Which of the following represents a proportion ?
(i)
46
:
38
::
184
:
114
(ii)
50
:
42
::
150
:
84
(iii)
49
:
41
::
98
:
123
(iv)
48
:
40
::
192
:
160
(v)
47
:
39
::
141
:
156
Question
18
18.
If
a
b
=
c
d
,
then which of the following is true ?
(i)
5
a
−
2
b
5
a
−
2
d
=
5
c
−
4
d
5
c
−
2
d
(ii)
5
a
+
4
b
5
a
−
4
b
=
5
c
+
4
d
5
c
−
4
d
(iii)
5
a
+
4
d
5
a
−
4
d
=
4
b
+
5
c
4
b
−
5
c
(iv)
5
a
+
2
b
5
a
−
2
d
=
5
c
+
4
d
5
c
−
2
d
Question
19
19.
Find the product of means of
14
9
:
1
18
and
5
7
:
19
17
(i)
5
126
(ii)
1
42
(iii)
1
18
(iv)
266
153
(v)
5
124
Question
20
20.
What
must be subtracted from
37
,
19
,
32
,
17
so that the resulting numbers
are in proportion ?
(i)
7
(ii)
8
(iii)
6
(iv)
10
(v)
4
Question
21
21.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
first term
(ii)
third proportional
(iii)
mean proportional
(iv)
fourth proportional
(v)
extreme
Question
22
22.
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)
2c
(iii)
c
(iv)
c
2
Question
23
23.
Componendo
of
4
9
=
12
27
(i)
5
9
=
15
27
(ii)
13
5
=
39
15
(iii)
13
9
=
39
27
(iv)
4
12
=
9
27
(v)
9
4
=
27
12
Question
24
24.
Dividendo
of
b
:
f
::
c
:
o
(i)
b
:
c
::
f
:
o
(ii)
b
+
f
:
f
::
c
+
o
:
o
(iii)
f
:
b
::
o
:
c
(iv)
b
+
f
:
b
−
f
::
c
+
o
:
c
−
o
(v)
b
−
f
:
f
::
c
−
o
:
o
Question
25
25.
Which of the following does not represent a proportion ?
(i)
24
:
18
::
48
:
36
(ii)
14
:
10
::
42
:
30
(iii)
16
:
8
::
80
:
40
(iv)
15
:
9
::
60
:
36
(v)
6
:
4
::
12
:
12
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (v)
5) (iv)
6) (iv)
7) (iii)
8) (iii)
9) (ii)
10) (i)
11) (v)
12) (v)
13) (v)
14) (iv)
15) (ii)
16) (i)
17) (iv)
18) (ii)
19) (i)
20) (i)
21) (iii)
22) (iii)
23) (iii)
24) (v)
25) (v)
