EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Proportion
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the mean proportional of
6
and
150
(i)
31
(ii)
27
(iii)
33
(iv)
29
(v)
30
Question
2
2.
If
(
a
3
+
48
a
)
(
12
a
2
+
64
)
=
945
513
, find
a
(i)
20
(ii)
22
(iii)
18
(iv)
21
(v)
19
Question
3
3.
If
a,b,c,d,e,f
are in continued proportion, then which of the following is true?
(i)
a
b
=
b
c
=
c
d
(ii)
a
b
b
c
=
b
c
c
d
=
c
d
d
e
(iii)
a
b
=
c
d
=
e
f
(iv)
ab
=
bc
=
cd
=
de
Question
4
4.
Find the third proportional of 27 and 9
(i)
3
(ii)
4
(iii)
6
(iv)
0
(v)
2
Question
5
5.
Componendo and Dividendo
of
r
:
p
::
c
:
m
(i)
r
:
c
::
p
:
m
(ii)
r
+
p
:
r
−
p
::
c
+
m
:
c
−
m
(iii)
p
:
r
::
m
:
c
(iv)
r
−
p
:
p
::
c
−
m
:
m
(v)
r
+
p
:
p
::
c
+
m
:
m
Question
6
6.
The ratio 4 : 3 is proportional to which of the following ratios?
(i)
12
:
15
(ii)
16
:
12
(iii)
8
:
18
(iv)
24
:
6
(v)
20
:
9
Question
7
7.
Componendo and Dividendo
of
6
:
7
::
30
:
35
(i)
7
:
6
::
35
:
30
(ii)
13
:
7
::
65
:
35
(iii)
6
:
30
::
7
:
35
(iv)
1
:
7
::
5
:
35
(v)
13
:
1
::
65
:
5
Question
8
8.
Find the fourth proportional of 24, 16, 36
(i)
25
(ii)
24
(iii)
21
(iv)
23
(v)
26
Question
9
9.
If
a
:
b
::
b
:
c
,
then '
b
' is called
(i)
first term
(ii)
fourth proportional
(iii)
third proportional
(iv)
extreme
(v)
mean proportional
Question
10
10.
If
(
4
x
2
−
8
x
y
+
3
y
2
)
=
0
, find
x : y
(i)
0 : 2
or
3 : 2
(ii)
1 : 2
or
3 : 4
(iii)
1 : 2
or
2 : 2
(iv)
2 : 2
or
3 : 2
(v)
1 : 2
or
3 : 2
Question
11
11.
Invertendo of
15
8
=
165
88
(i)
15
165
=
8
88
(ii)
7
8
=
77
88
(iii)
8
15
=
88
165
(iv)
23
7
=
253
77
(v)
23
8
=
253
88
Question
12
12.
If
'b'
is the mean proportion between
'a'
and
'c'
,
then
a
2
-
b
2
+
c
2
a
-2
-
b
-2
+
c
-2
=
(i)
b
-2
(ii)
a
2
(iii)
b
4
(iv)
c
2
(v)
b
2
Question
13
13.
Alternendo
of
d
:
i
::
t
:
r
(i)
d
−
i
:
i
::
t
−
r
:
r
(ii)
d
:
t
::
i
:
r
(iii)
d
+
i
:
i
::
t
+
r
:
r
(iv)
d
+
i
:
d
−
i
::
t
+
r
:
t
−
r
(v)
i
:
d
::
r
:
t
Question
14
14.
Componendo and dividendo of
1
16
=
8
128
(i)
1
8
=
16
128
(ii)
17
15
=
136
120
(iii)
17
16
=
136
128
(iv)
15
16
=
120
128
(v)
16
1
=
128
8
Question
15
15.
If
a
:
b
::
b
:
c
,
then '
c
' is called
(i)
mean proportional
(ii)
second term
(iii)
first term
(iv)
third proportional
Question
16
16.
Dividendo
of
y
v
=
c
a
(i)
y
+
v
v
=
c
+
a
a
(ii)
v
y
=
a
c
(iii)
y
+
v
y
−
v
=
c
+
a
c
−
a
(iv)
y
−
v
v
=
c
−
a
a
(v)
y
c
=
v
a
Question
17
17.
If
a
:
b
::
c
:
d
,
then
(i)
ab = cd
(ii)
ac = bd
(iii)
ad = bc
(iv)
abc = bcd
Question
18
18.
Dividendo
of
8
7
=
40
35
(i)
8
40
=
7
35
(ii)
7
8
=
35
40
(iii)
15
1
=
75
5
(iv)
15
7
=
75
35
(v)
1
7
=
5
35
Question
19
19.
If
a
b
=
c
d
,
then which of the following is true ?
(i)
4
a
+
2
b
4
a
−
2
b
=
4
c
+
2
d
4
c
−
2
d
(ii)
4
a
−
3
b
4
a
−
3
d
=
4
c
−
2
d
4
c
−
3
d
(iii)
4
a
+
3
b
4
a
−
3
d
=
4
c
+
2
d
4
c
−
3
d
(iv)
4
a
+
2
d
4
a
−
2
d
=
2
b
+
4
c
2
b
−
4
c
Question
20
20.
Find the product of extremes of
9
10
:
20
13
and
3
20
:
20
7
(i)
20
7
(ii)
18
5
(iii)
16
7
(iv)
18
7
(v)
3
13
Question
21
21.
Find the third proportional of
75
and
15
(i)
225
(ii)
0
(iii)
3
(iv)
15
(v)
75
Question
22
22.
If
(
2
x
+
2
)
is the geometric mean of
(
x
−
1
)
and
(
7
x
+
1
)
,
find
x
(i)
(
6
,
(
-1
5
)
)
(ii)
(
5
3
,
7
)
(iii)
(
5
,
-1
)
(iv)
(
5
,
(
-1
3
)
)
(v)
(
8
,
(
-1
3
)
)
Question
23
23.
Invertendo
of
y
n
=
s
l
(i)
n
y
=
l
s
(ii)
y
−
n
n
=
s
−
l
l
(iii)
y
+
n
n
=
s
+
l
l
(iv)
y
s
=
n
l
(v)
y
+
n
y
−
n
=
s
+
l
s
−
l
Question
24
24.
Alternendo of
4
17
=
40
170
(i)
13
17
=
130
170
(ii)
21
17
=
210
170
(iii)
4
40
=
17
170
(iv)
17
4
=
170
40
(v)
21
13
=
210
130
Question
25
25.
What
must be subtracted from
25
,
49
,
19
,
35
so that the resulting numbers
are in proportion ?
(i)
10
(ii)
8
(iii)
7
(iv)
5
(v)
6
Assignment Key
1) (v)
2) (i)
3) (i)
4) (i)
5) (ii)
6) (ii)
7) (v)
8) (ii)
9) (v)
10) (v)
11) (iii)
12) (iii)
13) (ii)
14) (ii)
15) (iv)
16) (iv)
17) (iii)
18) (v)
19) (i)
20) (iv)
21) (iii)
22) (iv)
23) (i)
24) (iii)
25) (iii)
