EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Dividendo of
1
17
=
7
119
(i)
1
7
=
17
119
(ii)
16
17
=
112
119
(iii)
18
16
=
126
112
(iv)
18
17
=
126
119
(v)
17
1
=
119
7
Question
2
2.
Invertendo of
18
4
=
108
24
(i)
22
4
=
132
24
(ii)
4
18
=
24
108
(iii)
18
108
=
4
24
(iv)
14
4
=
84
24
(v)
22
14
=
132
84
Question
3
3.
Alternendo of
19
8
=
228
96
(i)
27
8
=
324
96
(ii)
8
19
=
96
228
(iii)
27
11
=
324
132
(iv)
19
228
=
8
96
(v)
11
8
=
132
96
Question
4
4.
Solve
√
(
x
−
4
)
+
√
(
x
+
5
)
√
(
x
−
4
)
−
√
(
x
+
5
)
=
8
5
(i)
(
-871
158
)
(ii)
(
-881
160
)
(iii)
(
-883
160
)
(iv)
(
-879
160
)
(v)
(
-11
2
)
Question
5
5.
If
a
b
=
c
d
=
e
f
,
then
(
a
+
c
+
e
)
(
b
+
d
+
f
)
=
(i)
a
c
e
(ii)
2
(
a
+
b
+
c
)
(iii)
(
a
+
b
+
c
)
(iv)
a
b
(v)
1
Question
6
6.
If
(
13
x
+
1
)
is the geometric mean of
(
4
x
+
1
)
and
(
40
x
+
1
)
,
find
x
(i)
(
2
,
2
)
(ii)
(
1
,
3
)
(iii)
(
0
,
1
)
(iv)
(
0
,
2
)
(v)
(
4
,
2
)
Question
7
7.
Alternendo
of
z
r
=
h
x
(i)
z
−
r
r
=
h
−
x
x
(ii)
z
+
r
r
=
h
+
x
x
(iii)
z
h
=
r
x
(iv)
z
+
r
z
−
r
=
h
+
x
h
−
x
(v)
r
z
=
x
h
Question
8
8.
If
x
:
18
::
12
:
9
, find '
x
'
(i)
25
(ii)
22
(iii)
26
(iv)
23
(v)
24
Question
9
9.
Componendo
of
y
:
q
::
f
:
v
(i)
y
+
q
:
q
::
f
+
v
:
v
(ii)
y
+
q
:
y
−
q
::
f
+
v
:
f
−
v
(iii)
y
−
q
:
q
::
f
−
v
:
v
(iv)
q
:
y
::
v
:
f
(v)
y
:
f
::
q
:
v
Question
10
10.
Which of the following represents a proportion ?
(i)
34
:
22
::
136
:
66
(ii)
36
:
24
::
72
:
48
(iii)
38
:
26
::
114
:
52
(iv)
35
:
23
::
105
:
92
(v)
37
:
25
::
74
:
75
Question
11
11.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
third proportional
(ii)
extreme
(iii)
fourth proportional
(iv)
mean proportional
(v)
first term
Question
12
12.
Componendo
of
t
q
=
p
e
(i)
t
+
q
q
=
p
+
e
e
(ii)
t
+
q
t
−
q
=
p
+
e
p
−
e
(iii)
q
t
=
e
p
(iv)
t
p
=
q
e
(v)
t
−
q
q
=
p
−
e
e
Question
13
13.
If
10
,
x
,
250
are in continued proportion, find
x
(i)
52
(ii)
49
(iii)
47
(iv)
51
(v)
50
Question
14
14.
Invertendo
of
m
:
b
::
k
:
d
(i)
m
+
b
:
b
::
k
+
d
:
d
(ii)
b
:
m
::
d
:
k
(iii)
m
+
b
:
m
−
b
::
k
+
d
:
k
−
d
(iv)
m
:
k
::
b
:
d
(v)
m
−
b
:
b
::
k
−
d
:
d
Question
15
15.
If
x
+
y
a
x
+
b
y
=
y
+
z
a
y
+
b
z
=
z
+
x
a
z
+
b
x
,
then each of the ratios is equal to
(i)
(a+b)
2
(ii)
2
(a+b)
(iii)
a+b
x+y
(iv)
x+y
a+b
(v)
1
Question
16
16.
Find the product of extremes of
17
11
:
16
3
and
2
15
:
19
18
(i)
325
198
(ii)
32
45
(iii)
107
66
(iv)
323
196
(v)
323
198
Question
17
17.
Find the third proportional of 9 and 6
(i)
2
(ii)
5
(iii)
3
(iv)
4
(v)
7
Question
18
18.
Find the fourth proportional of
28
,
7
and
36
(i)
36
(ii)
9
(iii)
11
(iv)
7
Question
19
19.
Find the mean proportional between
√
9
and
12
(i)
7
(ii)
8
(iii)
6
(iv)
5
(v)
4
Question
20
20.
Find two numbers whose mean proportional is
10
and third proportional is
1250
(i)
4
and
50
(ii)
2
and
50
(iii)
2
and
48
(iv)
3
and
50
(v)
2
and
49
Question
21
21.
Componendo and Dividendo
of
7
8
=
56
64
(i)
8
7
=
64
56
(ii)
7
56
=
8
64
(iii)
1
8
=
8
64
(iv)
15
1
=
120
8
(v)
15
8
=
120
64
Question
22
22.
Which of the following does not represent a proportion ?
(i)
24
:
18
::
48
:
36
(ii)
14
:
10
::
42
:
30
(iii)
6
:
4
::
12
:
12
(iv)
16
:
8
::
80
:
40
(v)
15
:
9
::
60
:
36
Question
23
23.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
first term
(ii)
mean proportional
(iii)
second term
(iv)
third proportional
Question
24
24.
If
(
x
+
18
)
,
(
5
x
+
10
)
,
(
x
+
12
)
and
(
4
x
+
14
)
are in proportion,
find
x
(i)
(
-6
,
22
)
(ii)
(
24
,
-4
)
(iii)
(
-5
,
23
)
(iv)
(
-6
,
21
)
(v)
(
-4
,
22
)
Question
25
25.
If
(
15
x
2
−
29
x
y
+
12
y
2
)
=
0
, find
x : y
(i)
4 : 3
or
2 : 5
(ii)
4 : 3
or
3 : 5
(iii)
4 : 3
or
3 : 8
(iv)
5 : 3
or
3 : 5
(v)
3 : 3
or
3 : 5
Assignment Key
1) (ii)
2) (ii)
3) (iv)
4) (ii)
5) (iv)
6) (iv)
7) (iii)
8) (v)
9) (i)
10) (ii)
11) (iv)
12) (i)
13) (v)
14) (ii)
15) (ii)
16) (v)
17) (iv)
18) (ii)
19) (iii)
20) (ii)
21) (iv)
22) (iii)
23) (iv)
24) (i)
25) (ii)
