EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
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)
a + b + c
(iii)
(
-1
2
)
(iv)
2
(v)
-1
Question
2
2.
Solve
√
(
x
+
3
)
+
√
(
x
−
4
)
√
(
x
+
3
)
−
√
(
x
−
4
)
=
4
3
(i)
199
48
(ii)
207
50
(iii)
67
16
(iv)
197
48
(v)
191
46
Question
3
3.
If
(
a
3
+
48
a
)
(
12
a
2
+
64
)
=
756
702
, find
a
(i)
9
(ii)
8
(iii)
5
(iv)
7
(v)
10
Question
4
4.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
first term
(ii)
mean proportional
(iii)
third proportional
(iv)
second term
Question
5
5.
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)
ab + bc + ca
(iv)
a (b + c)
Question
6
6.
Invertendo
of
9
6
=
63
42
(i)
3
6
=
21
42
(ii)
15
6
=
105
42
(iii)
9
63
=
6
42
(iv)
6
9
=
42
63
(v)
15
3
=
105
21
Question
7
7.
Alternendo
of
8
9
=
32
36
(i)
1
9
=
4
36
(ii)
17
1
=
68
4
(iii)
9
8
=
36
32
(iv)
8
32
=
9
36
(v)
17
9
=
68
36
Question
8
8.
Find the fourth proportional of
24
,
6
and
8
(i)
2
(ii)
8
(iii)
6
(iv)
0
(v)
5
Question
9
9.
Find the product of means of
18
:
16
and
1
:
15
(i)
270
(ii)
13
(iii)
18
(iv)
15
(v)
16
Question
10
10.
If
a
b
=
c
d
,
then which of the following is true ?
(i)
5
a
+
3
b
5
a
−
3
b
=
5
c
+
3
d
5
c
−
3
d
(ii)
5
a
+
2
b
5
a
−
2
d
=
5
c
+
3
d
5
c
−
2
d
(iii)
5
a
+
3
d
5
a
−
3
d
=
3
b
+
5
c
3
b
−
5
c
(iv)
5
a
−
2
b
5
a
−
2
d
=
5
c
−
3
d
5
c
−
2
d
Question
11
11.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
extreme
(ii)
mean proportional
(iii)
fourth proportional
(iv)
first term
(v)
third proportional
Question
12
12.
If
(
a
3
+
3
a
b
2
)
(
3
a
2
b
+
b
3
)
=
351
335
, find
a : b
(i)
8
:
5
(ii)
9
:
2
(iii)
9
:
5
(iv)
9
:
7
(v)
10
:
5
Question
13
13.
If
a
:
b
::
c
:
d
,
then '
a
' is called
(i)
mean proportional
(ii)
third proportional
(iii)
extreme
(iv)
second term
(v)
fourth proportional
Question
14
14.
Dividendo
of
6
:
2
::
42
:
14
(i)
6
:
42
::
2
:
14
(ii)
2
:
6
::
14
:
42
(iii)
8
:
4
::
56
:
28
(iv)
4
:
2
::
28
:
14
(v)
8
:
2
::
56
:
14
Question
15
15.
Componendo of
9
20
=
108
240
(i)
11
20
=
132
240
(ii)
29
20
=
348
240
(iii)
29
11
=
348
132
(iv)
9
108
=
20
240
(v)
20
9
=
240
108
Question
16
16.
Which of the following represents a proportion ?
(i)
30
:
44
::
90
:
88
(ii)
26
:
40
::
104
:
120
(iii)
29
:
43
::
58
:
129
(iv)
28
:
42
::
140
:
210
(v)
27
:
41
::
81
:
164
Question
17
17.
Componendo and Dividendo
of
5
2
=
20
8
(i)
5
20
=
2
8
(ii)
2
5
=
8
20
(iii)
3
2
=
12
8
(iv)
7
2
=
28
8
(v)
7
3
=
28
12
Question
18
18.
If
(
5
x
2
−
29
x
y
+
20
y
2
)
=
0
, find
x : y
(i)
6 : 1
or
4 : 5
(ii)
4 : 1
or
4 : 5
(iii)
5 : 1
or
3 : 5
(iv)
5 : 1
or
4 : 5
(v)
5 : 1
or
4 : 8
Question
19
19.
Which of the following does not represent a proportion ?
(i)
6
:
5
::
12
:
15
(ii)
16
:
12
::
80
:
60
(iii)
14
:
12
::
42
:
36
(iv)
24
:
21
::
48
:
42
(v)
15
:
12
::
60
:
48
Question
20
20.
Invertendo
of
5
:
2
::
20
:
8
(i)
7
:
3
::
28
:
12
(ii)
2
:
5
::
8
:
20
(iii)
7
:
2
::
28
:
8
(iv)
5
:
20
::
2
:
8
(v)
3
:
2
::
12
:
8
Question
21
21.
The ratio 5 : 2 is proportional to which of the following ratios?
(i)
25
:
6
(ii)
15
:
10
(iii)
10
:
12
(iv)
30
:
4
(v)
20
:
8
Question
22
22.
Find two numbers whose mean proportional is
14
and third proportional is
2401
4
(i)
4
and
49
(ii)
4
and
48
(iii)
5
and
49
(iv)
4
and
47
(v)
6
and
49
Question
23
23.
Find the product of means of
2
17
:
11
15
and
1
7
:
19
13
(i)
13
105
(ii)
3
35
(iii)
38
221
(iv)
11
105
(v)
11
103
Question
24
24.
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
25
25.
Componendo and dividendo of
11
10
=
110
100
(i)
21
1
=
210
10
(ii)
21
10
=
210
100
(iii)
10
11
=
100
110
(iv)
11
110
=
10
100
(v)
1
10
=
10
100
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (i)
9) (v)
10) (i)
11) (ii)
12) (iii)
13) (iii)
14) (iv)
15) (ii)
16) (iv)
17) (v)
18) (iv)
19) (i)
20) (ii)
21) (v)
22) (i)
23) (iv)
24) (iii)
25) (i)
