EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
What
must be subtracted from
28
,
36
,
23
,
29
so that the resulting numbers
are in proportion ?
(i)
8
(ii)
5
(iii)
7
(iv)
10
(v)
9
Question
2
2.
If
(
4
x
2
−
13
x
y
+
10
y
2
)
=
0
, find
x : y
(i)
4 : 4
or
2 : 1
(ii)
6 : 4
or
2 : 1
(iii)
5 : 4
or
1 : 1
(iv)
5 : 4
or
2 : 3
(v)
5 : 4
or
2 : 1
Question
3
3.
If
a,b,c,d,e,f
are in continued proportion, then which of the following is true?
(i)
a
b
=
c
d
=
e
f
(ii)
a
b
b
c
=
b
c
c
d
=
c
d
d
e
(iii)
a
b
=
b
c
=
c
d
(iv)
ab
=
bc
=
cd
=
de
Question
4
4.
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)
a (b + c)
(ii)
b (a + c)
(iii)
ab + bc + ca
(iv)
c (a + b)
Question
5
5.
Find the mean proportional of
6
and
54
(i)
19
(ii)
21
(iii)
18
(iv)
17
(v)
15
Question
6
6.
If
a
b
=
c
d
=
e
f
,
then
(
a
+
c
+
e
)
(
b
+
d
+
f
)
=
(i)
a
c
e
(ii)
2
(
a
+
b
+
c
)
(iii)
1
(iv)
(
a
+
b
+
c
)
(v)
a
b
Question
7
7.
The ratio 3 : 2 is proportional to which of the following ratios?
(i)
6
:
8
(ii)
9
:
10
(iii)
15
:
6
(iv)
12
:
4
(v)
18
:
12
Question
8
8.
Alternendo of
9
13
=
18
26
(i)
4
13
=
8
26
(ii)
22
13
=
44
26
(iii)
22
4
=
44
8
(iv)
13
9
=
26
18
(v)
9
18
=
13
26
Question
9
9.
Find two numbers whose mean proportional is
8
and third proportional is
64
(i)
4
and
14
(ii)
5
and
16
(iii)
6
and
16
(iv)
4
and
15
(v)
4
and
16
Question
10
10.
Dividendo
of
2
:
3
::
4
:
6
(i)
3
:
2
::
6
:
4
(ii)
5
:
1
::
10
:
2
(iii)
2
:
4
::
3
:
6
(iv)
1
:
3
::
2
:
6
(v)
5
:
3
::
10
:
6
Question
11
11.
If
(
a
3
+
12
a
b
2
)
(
6
a
2
b
+
8
b
3
)
=
126
124
, find
a : b
(i)
3
:
4
(ii)
3
:
1
(iii)
3
:
-2
(iv)
4
:
1
(v)
2
:
1
Question
12
12.
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
13
13.
If
24
:
18
::
x
:
15
, find '
x
'
(i)
19
(ii)
20
(iii)
22
(iv)
21
(v)
17
Question
14
14.
If
a
b
=
c
d
,
then which of the following is true ?
(i)
3
a
+
5
b
3
a
−
5
d
=
3
c
+
4
d
3
c
−
5
d
(ii)
3
a
+
4
d
3
a
−
4
d
=
4
b
+
3
c
4
b
−
3
c
(iii)
3
a
+
4
b
3
a
−
4
b
=
3
c
+
4
d
3
c
−
4
d
(iv)
3
a
−
5
b
3
a
−
5
d
=
3
c
−
4
d
3
c
−
5
d
Question
15
15.
Find the mean proportional between
√
3
and
3
√
12
(i)
4
√
18
(ii)
18
(iii)
√
16
(iv)
√
18
(v)
√
21
Question
16
16.
Componendo
of
5
4
=
25
20
(i)
9
4
=
45
20
(ii)
1
4
=
5
20
(iii)
9
1
=
45
5
(iv)
5
25
=
4
20
(v)
4
5
=
20
25
Question
17
17.
Componendo and Dividendo
of
7
:
3
::
56
:
24
(i)
10
:
3
::
80
:
24
(ii)
7
:
56
::
3
:
24
(iii)
10
:
4
::
80
:
32
(iv)
3
:
7
::
24
:
56
(v)
4
:
3
::
32
:
24
Question
18
18.
Find the product of means of
8
15
:
17
18
and
13
9
:
17
14
(i)
223
162
(ii)
221
162
(iii)
73
54
(iv)
68
105
(v)
221
160
Question
19
19.
If
9
,
x
,
225
are in continued proportion, find
x
(i)
43
(ii)
45
(iii)
46
(iv)
44
(v)
47
Question
20
20.
Dividendo
of
4
6
=
20
30
(i)
10
2
=
50
10
(ii)
4
20
=
6
30
(iii)
10
6
=
50
30
(iv)
6
4
=
30
20
(v)
2
6
=
10
30
Question
21
21.
Invertendo
of
4
:
9
::
16
:
36
(i)
13
:
5
::
52
:
20
(ii)
9
:
4
::
36
:
16
(iii)
4
:
16
::
9
:
36
(iv)
13
:
9
::
52
:
36
(v)
5
:
9
::
20
:
36
Question
22
22.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
second term
(ii)
mean proportional
(iii)
first term
(iv)
third proportional
Question
23
23.
Invertendo
of
u
:
m
::
q
:
o
(i)
m
:
u
::
o
:
q
(ii)
u
:
q
::
m
:
o
(iii)
u
−
m
:
m
::
q
−
o
:
o
(iv)
u
+
m
:
u
−
m
::
q
+
o
:
q
−
o
(v)
u
+
m
:
m
::
q
+
o
:
o
Question
24
24.
Find the third proportional of 4 and 6
(i)
9
(ii)
8
(iii)
7
(iv)
10
(v)
12
Question
25
25.
If
a
:
b
::
b
:
c
,
then the mean proportional is
(i)
bc
(ii)
ac
(iii)
c
(iv)
a
(v)
b
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (ii)
5) (iii)
6) (v)
7) (v)
8) (v)
9) (v)
10) (iv)
11) (ii)
12) (iii)
13) (ii)
14) (iii)
15) (iv)
16) (i)
17) (iii)
18) (ii)
19) (ii)
20) (v)
21) (ii)
22) (iv)
23) (i)
24) (i)
25) (v)
